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\leftline{\bf Foreword}

\vspace{1cm}

I am presenting the progress report of 2008-2009 with great pleasure
noting that three of our members were given external awards including 
a Third World Academy fellowship, the J C Bose fellowship and the Prof Thathachari Science Award.

\vspace{.5cm}

The first ever review of our Institute activities was conducted by an International committee of experts representing the three main areas of activity of our Institute.  The Institute members presented their work to the committee over a period of one week during which time they also had extensive interactions with the committee.  
 
\vspace{.5cm}

This year continues to be academically productive for the members of our Institute.  We organised several conferences and workshops this year. These include  
Entanglement in Quantum Condensed matter systems, RMS-SMF Indo-French conference on Mathematics, Non-Commutative geometry and Quantum Field theory, A workshop on Logic and social interaction, a workshop on von Neumann algebras ergodic theory and geometric group theory were organized in addition to the NBHM summer nurture programme.
\vspace{.5cm}

IMSc faculty continue to organize conferences off-site.  Some of these include
the "Beyond the Finite" at Schloss Dagstuhl, the DST-RFBR Indo-Russian workshop
on algebra, combinatorics and complexity, perspectives on concurrencty theory
a festschrift for Prof Thiyagarajan at CMI, Cipher Retreat II, workshop on 
cryptography, signalling the arrival of LHC era at ICTP, 
Indian String Meeting at Pondichery, workshop on concurrency, automata and 
timed systems, the national seminar on advances in Non-linear systems and 
Neutrinos in Particle physics and cosmology.

\vspace{.5cm}

The Subashish Nag Memorial lecture was given this year by Prof Rajesh Gopakumar of the Harish-Chandra Research Institute.

\vspace{.5cm}

This report was compiled through the efforts of a Annual Report Committee comprising of Drs Krishna Maddaly, V Arvind, Rahul Sinha, Paul Pandian, Usha Devi and Mr Parthiban.  I owe my gratitude to all of them.

\vspace{.5cm}

{\noindent July, 2009} \hfill {\bf R Balasubramanian}  


\newpage
\section{The Institute}
~
\vfill
\begin{center}
\parbox[c]{4.5in}{

The Institute of Mathematical Sciences (IMSc), founded in 1962, is a
national institution for fundamental research in the mathematical and
physical sciences.
%
\newline

The Institute is funded by the  Department of Atomic Energy of the
Government of India.  Institute members work primarily in the areas of
Mathematics, Theoretical Computer Science and  Theoretical Physics. 
%
\newline

The Institute is governed by a Governing Board and an Executive Council.
Academic personnel at the Institute are grouped as Faculty,
Post-Doctoral Fellows and Junior Research Fellows.  The academic
programmes are ably supported by an administrative set-up.  The Director
is assisted by the Faculty in academic matters and by the Registrar in
financial and administrative matters.
%
\newline

At present the faculty strength is 56 with 36 members at professor level
and above and 20 junior faculty members. Typically, about 18
post-doctoral fellows from all over the world work at IMSc at any given
time. The number of doctoral students is 84 at present. The non-academic
staff number 65.
\newline

IMSc has an outstanding scientific library, an excellent computing
environment including a recently commissioned tera-flop class cluster
computer and a dedicated high-speed network. The Institute hosts several
national and international scientific  meetings every year.
\newline

This year saw the Institute members continue to receive prestigious awards.
Prof V S Sunder was awarded the J C Bose fellowship by the 
Department of Science and Technology, Prof G Bhaskaran was awarded the 
fellowship of the Third World Academy of Sciences and Prof R Shankar 
was awarded the "Prof. Thathachari Science Award". 
\newline

This report briefly describes the programmes and activities of the
Institute as well as its achievements in the past year. More details are
available in the detailed annual report.
%
} 

\end{center} 

\newpage

\section{Board}
%\vspace{.5cm}

\noindent Dr. {\bf K. Ponmudi}, Hon'ble Minister for Education,
Government of Tamil Nadu, Fort St. George, Chennai 600 009 \\
({\bf Chairman})%\\

\noindent Dr. {\bf Anil Kakodkar}, Chairman, AEC \& Secretary to 
Government of India, Department of Atomic Energy, CSM Marg, Mumbai 400 001 
 \\
({\bf Vice-Chairman})%\\

\noindent Prof. {\bf S. K. Joshi}, Honorary Scientist Emeritus CSIR, 
Vikram Sarabhai Professor, National Physical Laboratory, Dr. K. S. 
Krishnan Road, New Delhi 110 012 \\
({\bf Member}) %\\

\noindent Prof. {\bf S. Ramachandran}, Vice Chancellor,
University of Madras, Chennai 600 005. \\
({\bf Member}) %\\

\noindent Prof. {\bf C. S. Seshadri}, Director, Chennai Mathematical 
Institute, Information Technology Park, Padur Post, Siruseri 603 103.\\
({\bf Member})% \\

\noindent Prof. {\bf S. S. Jha}, Department of Physics, Indian Institute of Technology, Bombay, Mumbai 400 076 \\
\hfill ({\bf Member})%\\

\noindent Prof. {\bf Mustansir Barma}, Director, Tata
Institute of Fundamental Research, Mumbai 400 005 \\
({\bf Member}) %\\

\noindent Prof. {\bf Amitava Raychaudhuri,} Director, Harish Chandra Research 
Institute,
Chhatnag Road, Jhusi, Allahabad 211 019. \\
({\bf Member}) %\\


\newpage


\noindent Dr. {\bf P. Mukherjee}, IA \& AS.,Joint Secretery(R\&D), Department of Atomic Energy, CSM Marg, Mumbai 400 001 \\
({\bf Member}) %\\

\noindent Shri {\bf V.R. Sadasivam}, IDAS., \ Joint Secretary (Finance) to
Government of India, Department of Atomic Energy, CSM Marg, Mumbai 400 001 \\
({\bf Member}) %\\

\noindent Shri {\bf K. Ganesan}, I.A.S., Secretary to
Government, Higher Education Department, Government of Tamil Nadu, Fort
St. George, Chennai 600 009 \\
({\bf Member}) %\\

\noindent Prof. {\bf R. Balasubramanian}, Director, The Institute of 
Mathematical Sciences, Chennai
\\({\bf Member Secretary}) 

\newpage
\section{Executive Council}

\vspace{0.3cm}
\vspace{0.3cm}
\noindent Prof. {\bf S. K. Joshi}, Honorary Scientist Emeritus CSIR, 
Vikram Sarabhai Professor, National Physical Laboratory, Dr. K. S. Krishnan Road,
New Delhi 110 012 \\({\bf Chairman})%\\

\vspace{0.3cm}
\noindent Prof. {\bf Mustansir Barma}, Director, Tata
Institute of Fundamental Research, Mumbai 400 005 \\
({\bf Member})%\\

\vspace{0.3cm}
\noindent Prof. {\bf Amitava Raychaudhuri,} Director, Harish Chandra Research
Institute, Chhatnag Road, Jhusi, Allahabad  211 019 \\
({\bf Member})%\\

\vspace{0.3cm}
\noindent Prof. {\bf C. S. Seshadri}, Director, Chennai Mathematical
Institute, Information Technology Park, Padur Post, Siruseri,603 103.\\
({\bf Member})%\\

\noindent Dr {\bf P. Mukherjee,} IA \& AS., Joint Secretery (R\&D), Department of Atomic Energy, CSM Marg, Mumbai 400 001 \\
({\bf Member})%\\

\noindent Shri {\bf V.R. Sadasivam}, IDAS., \ Joint Secretary (Finance) to
Government of India, Department of Atomic Energy, CSM Marg, Mumbai 400 001\\
({\bf Member}) %\\

\vspace {0.3cm}
\vspace{0.3cm}
\noindent Shri {\bf K. Ganesan}, I.A.S., Secretary to
Government, Higher Education Department, Government of Tamil Nadu, Fort
St. George, Chennai 600 009\\
({\bf Member}) %\\

\vspace{0.3cm}
\noindent Prof. {\bf R. Balasubramanian}, Director,
The Institute of Mathematical Sciences,Chennai\\({\bf Member Secretary}) 

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newpage
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\subsection{Faculty}

\parbox[t]{6.4cm}{\bf{Mathematics}}

%\vskip \LineSpacing

\parbox[t]{6.4cm}{\bf {Balasubramanian,}  R.}
\parbox[t]{6.4cm}{\bf {Chakraborty,} Partha Sarthi}
\parbox[t]{6.4cm}{\bf {Chatterjee,} Pralay}
\parbox[t]{6.4cm}{\bf {Gun,} Sanoli}
\parbox[t]{6.4cm}{\bf {Iyer,}Jaya N.}
\parbox[t]{6.4cm}{\bf {Kesavan,}S }
\parbox[t]{6.4cm}{\bf {Kodiyalam,} Vijay }
\parbox[t]{6.4cm}{\bf {Krishna,} M. }
\parbox[t]{6.4cm}{\bf {Mohari}, Anilesh}
\parbox[t]{6.4cm}{\bf {Mukhopadhyay}, Anirban}
\parbox[t]{6.4cm}{\bf {Nagaraj,} D. S.}
\parbox[t]{6.4cm}{\bf {Paranjape,} Kapil H.}
\parbox[t]{6.4cm}{\bf {Prasad,} Amritanshu}
\parbox[t]{6.4cm}{\bf {Raghavan,} K. N.}
\parbox[t]{6.4cm}{\bf {Sankaran,} P. }
\parbox[t]{6.4cm}{\bf {Srinivas,} K. }
\parbox[t]{6.4cm}{\bf {Sunder,} V. S.}

%\vskip \LineSpacing

\parbox[t]{6.4cm}{\bf{Physics}}
%\vskip \LineSpacing

\parbox[t]{6.4cm}{\bf {Adhikari,} Ronojoy }
\parbox[t]{6.4cm}{\bf {Anishetty,}
R. }
\parbox[t]{6.4cm}{\bf {Baskaran,}
G. }
\parbox[t]{6.4cm}{\bf {Basu,}
Rahul }
\parbox[t]{6.4cm}{\bf {Date,}
G.}
\parbox[t]{6.4cm}{\bf {Digal,}
Sanatan}
\parbox[t]{6.4cm}{\bf {Ghosh,} Sibasish}
\parbox[t]{6.4cm}{\bf {Govindarajan,}
T. R.}
\parbox[t]{6.4cm}{\bf {Hassan,} Syed Raghib}
\parbox[t]{6.4cm}{\bf {Indumathi,}
D. }
\parbox[t]{6.4cm}{\bf {Jagannathan,}
R. }
\parbox[t]{6.4cm}{\bf {Jayakumar,} Prashanth.}
\parbox[t]{6.4cm}{\bf {Jayaraman,}
 T.}
\parbox[t]{6.4cm}{\bf {Kaul,}
R. }
\parbox[t]{6.4cm}{\bf {Menon,}
Gautam I.}
\parbox[t]{6.4cm}{\bf {Mishra,}
Ashok K.}
\parbox[t]{6.4cm}{\bf {Murthy,} M. V. N.}
\parbox[t]{6.4cm}{\bf {Mukhopadhyay,} Partha}
\parbox[t]{6.4cm}{\bf {Nemani,} Venkata Suryanarayana.}
\parbox[t]{6.4cm}{\bf {Rajesh,} Ravindran}
\parbox[t]{6.4cm}{\bf {Rama,} S. Kalyana }
\parbox[t]{6.4cm}{\bf {Ray,} Purusattam }
\parbox[t]{6.4cm}{\bf {Sathiapalan,}
Balachandran}
\parbox[t]{6.4cm}{\bf {Shankar,}
R. }
\parbox[t]{6.4cm}{\bf {Sharatchandra,}
H. S. }
\parbox[t]{6.4cm}{\bf {Siddharthan,}
Rahul}
\parbox[t]{6.4cm}{\bf {Simon,}
R. }
\parbox[t]{6.4cm}{\bf {Sinha,}
Nita}
\parbox[t]{6.4cm}{\bf {Sinha,}
Rahul }
\parbox[t]{6.4cm}{\bf {Sinha,}
Sitabhra }
\parbox[t]{6.4cm}{\bf {Sinha,}
Sudeshna }
\parbox[t]{6.4cm}{\bf {Sujay K,}
Ashok }
\parbox[t]{6.4cm}{\bf {Vemparala}, Satyavani}
%\vskip \LineSpacing

\parbox[t]{6.4cm}{\bf{Theoretical Computer Science}}
%\vskip \LineSpacing

\parbox[t]{6.4cm}{\bf {Arvind,} V. }
\parbox[t]{6.4cm}{\bf {Lodaya,} Kamal }
\parbox[t]{6.4cm}{\bf {Mahajan,} Meena B.}
\parbox[t]{6.4cm}{\bf {Raman,} Venkatesh }
\parbox[t]{6.4cm}{\bf {Ramanujam,}  R.}
\parbox[t]{6.4cm}{\bf {Subramanian,} C.R.}

\newpage \section{Academic Activities and Programmes}
%
%
\subsection{Research Activities} Faculty members at IMSc carry out
research in their areas of interests in a self-directed manner, often in
collaboration with doctoral students, post-doctoral fellows and
researchers from elsewhere. Research output is disseminated primarily
as refereed journal articles as well as articles in conference
proceedings. The expertise available at the institute is organized below
according to the areas of specialization.
%
\vspace{-5.0mm}
\subsubsection{Mathematics}
\vspace{-4.0mm}
%
The Mathematics group has wide ranging interests. These specializations
are conveniently grouped together under broad headings. A very brief
description is provided followed by the names of faculty members
currently working in these areas. 

In 2008-2009, a total of 59 articles were submitted/accepted/published
 in journals and conference proceedings.
%conference proceedings.
\vspace{-1.0mm}
\begin{itemize}
\item{\bf Algebra:}
%
Algebra is the study of the properties of mathematical structures
involving ``algebraic'' operations such as addition and multiplication.
One of the main motivations to study algebraic structures is to analyze
geometric objects such as curves and surfaces via the algebra of
functions defined on them. Aspects of algebra being studied at IMSc
involve algebraic geometry (study of loci of solutions of polynomial
equations),  algebraic groups (groups of matrices),  and the theory of
knots. \newline
%
[{\small{\bf Vijay Kodiyalam, D. S. Nagaraj, K. N. Raghavan.}}]\newline
%
\item{\bf Algebraic Geometry:}
%
This branch of mathematics is a study of the solution set of a finite
set of polynomials in several variables. The total degrees of the
polynomials and the number of polynomials play an important role in
determining the geometry of the solution set. This subject has rich
interactions with mathematical physics and other areas.\newline 
%
[{\small{\bf Jaya Iyer, Kapil Paranjape, D. S.  Nagaraj}}]\newline
%
\item{\bf Mathematical physics:}
%
An important area of mathematical physics is the spectral theory of
Schr\"odinger operators. Such operators arise in describing the quantum
mechanics of particles. The spectrum of such an operator gives the
possible energies of the quantum system. The operators are considered
both for deterministic as well as random potentials and the focus is on
obtaining the spectrum rigorously. \newline
Another area of study is the quantum spin chains, where the ground state 
of various models is studied for its uniqueness.  Another major question
in the area is the existence of a mass gap.  In addition to these entropy of quantum dynamical systems is studied.\newline
%
[{\small{\bf M. Krishna, A. Mohari}}]\newline
%
\item{\bf Number Theory:}
%
Number theory is concerned mainly with the way prime numbers are
distributed in the set of natural numbers. This area has rich
interactions with many other branches of mathematics including algebra,
complex analysis and geometry. There are also applications to
cryptography.\newline
%
[{\small{\bf R. Balasubramanian, Kapil Paranjape, K. Srinivas, Anirban Mukhopadhyay, Sonali Gun}}]\newline

\item{\bf Operator algebras:} 

This subject may loosely be described as the study of
`infinite-dimensional matrices'. It was introduced by von Neumann in
order to address some problems arising from quantum mechanics. Even
today, it is intimately tied to various branches of physics as well as
to other areas of pure mathematics, such as knot theory.\newline
%
[{\small{\bf Vijay Kodiyalam, V. S. Sunder, Partha Sarathi Chakraborty}}]\newline

%\item{\bf Non-commutative Geometry:} 
%
%This area is the study of geometry of space where points are taken to be
%operators.
%[{\small{\bf Partha Sarathi Chakraborty}}]\newline


\item{\bf Partial Differential Equations:}

Partial Differential equations (PDEs) arise when studying several
problems in physics and engineering. The research done in this area
includes the study of existence and multiplicity of solutions (of linear
and nonlinear PDEs or systems of PDEs) and their qualitative properties
such as their behaviour as various parameters tend to some limit, the
estimation of their size in various norms and so on. The techniques used
come from functional analysis and the calculus of variations (study of
critical points of functionals defined on infinite dimensional
spaces).\newline
%
[{\small{\bf S. Kesavan}}]\newline

\item{\bf Representation theory:}
%
Groups are algebraic structures that arise as symmetries of physical or
mathematical objects. Representation theory studies properties of
abstract groups via their matrix representations.  Representation theory
enables many group-theoretic problems to be reduced to problems in
matrix algebra, which is very well-understood. \newline
%
[{\small{\bf A. Prasad, K. N. Raghavan, P. Sankaran}}]\newline

\item{\bf Topology:}
%
Topology may be described as geometry with or without a notion of
distance. It aims to study properties of these objects, of which curves
and surfaces are well-known examples, which are invariant under
deformations.  The subject has wide applications within mathematics as
well as in physics.\newline
%
[{\small{\bf P. Sankaran}}]%\newline

\end{itemize}

\newpage

\subsubsection{Theoretical Physics}

\vspace{-1.0mm}
The Theoretical Physics group subsumes a very broad spectrum of
specializations.  These are conveniently grouped under a
smaller number of headings. A very brief description is provided
followed by the names of faculty members currently working in these
areas. 

\vspace{-2.0mm} In 2008-2009, a total of 71 articles were
submitted/accepted for publication in journals and conference
proceedings and a volume in Journal of Physics: conference Series, 
was edited.      
% 39?? 
% and 39?? were submitted/accepted for publication.
\vspace{-2.0mm}
\begin{itemize}

\item {\bf Elementary Particle Physics:} The current status of our
knowledge of the sub-nuclear constituents of nature and their properties
is well summarized by the {\it Standard Model}. This model describes
the strong and electro-weak interactions.  The research involves both
elaboration of the model as well as searching for clues to go beyond it.
The following grouping refers to different aspects that are being
pursued at IMSc.  \newline

\begin{itemize}
\item{\bf Collider Physics:} The phenomenological aspects of physics
  at existing and future colliders are studied with a view to seek
  possible signals of New Physics (or Physics beyond the Standard
  Model). Globally the main focus is currently on
  the physics discovery potential of the upcoming Large Hadron Collider
  (LHC) at CERN in Geneva. India is an observer member at CERN, the
  European Organization for Nuclear Research.  \newline 
[{\small {\bf Rahul Basu, Rahul Sinha}}]\newline

\item {\bf Perturbative QCD:} This deals with the strong forces in the
standard model particularly in the context of scattering
processes.\newline
[{\small {\bf Rahul Basu, D. Indumathi, M. V. N. Murthy}}]
\newline

\item {\bf Non-Perturbative QCD:} This deals with widely believed
  properties of strong forces such as ``color confinement'', ``color
  superconductivity'' and ``chiral symmetry breaking''.  \newline
  [{\small {\bf Ramesh Anishetty, Sanatan Digal, Prashanth Jayakumar,
      H. S. Sharatchandra}}] \newline

\item {\bf Neutrino Physics:} Neutrinos are very weakly interacting
particles which have recently been found to be massive, going beyond the
Standard Model. There is a national proposal to build a {\it Indian
Neutrino Observatory} (INO).\newline
[{\small {\bf D. Indumathi, M. V. N. Murthy, Nita Sinha}}]
\newline

\item {\bf CP-violation and B-Physics:}  %  Symmetries play a crucial role
%   in understanding the fundamental laws of nature. 
  Several experiments worldwide are studying the physics of ``beauty
  mesons'' (B-physics) in order to explain the observed CP-violation (the
  dominance of matter over antimatter). Such studies are also
  important in the search for physics beyond the Standard Model.
% % Symmetries play a crucial role
% in building models. The combined invariance under charge conjugation and
% parity is the CP symmetry. Its violation, which correlates with the
% violation of `time reversal symmetry', is being investigated in both the
% strong and the weak interactions.  Physics involving the ``bottom
% quark'' holds the promise of physics beyond the Standard Model.
%
\newline
[{\small {\bf Nita Sinha, Rahul Sinha}}]
\newline

\item {\bf Gravitational Physics:} Einstein's theory of gravity has a
bearing on the theory of our cosmos and also predicts exotic objects
such as black holes. Its quantum version is being constructed in a
variety of approaches such as string theory, loop quantum gravity,
non-commutative geometry etc. Both classical and quantum aspects of
gravity are being studied at IMSc.
%
\newline
%
[{\small {\bf Ghanashyam Date, T. R.  Govindarajan, Romesh Kaul}}]
%
\newline

\item {\bf Quantum Field Theory:} This provides a general theoretical
framework for the quantum theory of fields. Apart from the perturbative
analyses of quantum field theories used in the theory of scattering
processes, their non-perturbative aspects are crucial for a more
complete understanding.  There are many different types of quantum field
theories such as Conformal Field Theories, Topological Field Theories,
Non-commutative Field Theories, Lattice Gauge Theories etc.\newline
%
[{\small {\bf Sanatan Digal, T. R.  Govindarajan,
Romesh Kaul, H. S. Sharatchandra}}] \newline

\item {\bf String Theory:} In the quest for a unified framework to
understand all interactions, string theory is the leading approach.  At
IMSc the focus has been on Calabi-Yau manifolds, loop variables
approach, string dualities, brane physics including cosmology and black
hole entropy. 
%
\newline [{\small {\bf Sujay K. Ashok, T.  Jayaraman, S. Kalyana Rama, Partha Mukhopadhyay,
Balachandran Sathiapalan, Nemani V. Suryanarayana}}]
%
%
\newline

\end{itemize}

\item {\bf Condensed Matter Physics:} The field of condensed matter
physics deals with the understanding of the properties of materials.
Materials display an amazingly diverse set of properties; for example,
the resistivity of materials can vary over about 20 orders of magnitude
depending on the material.  Condensed matter physics attempts to
understand the reasons behind such diversity of behaviour in terms of
simpler models which can then be studied using a variety of theoretical
and computational tools.
\newline

\begin{itemize}

\item {\bf High Temperature Superconductivity:} At very low
temperatures, several materials undergo a transition into a
superconducting state, in which an electrical current flows without
resistance. The properties of materials which superconduct at somewhat
higher temperatures, the high-temperature superconductors, is one of the
most active areas of research today, since it raises many theoretical
questions of principle and has important implications for technology.\newline
[{\small {\bf G. Baskaran, Gautam I. Menon}}]
\newline

\item {\bf Correlated Electronic Systems, Magnetism and the Quantum Hall
Effect:} The interactions between electrons is responsible for
magnetism. Such interactions are key to several unusual electronic
states.  Understanding this problem better would impact our
understanding of a host of recently discovered materials with unusual
properties.
\newline [{\small {\bf G. Baskaran, Syed Raghib Hassan, A. K. Mishra, R.  Shankar}}] 
\newline

\item {\bf Electrochemistry, Chemisorption and Electron Transfer:}
Electrochemistry is the science of the reactions that can take place at
the interface of an electronic conductor (the electrode, which can be a
metal or a semiconductor including graphite) and an ionic conductor (the
electrolyte).\newline
[{\small {\bf A. K. Mishra}}]
\newline

\item {\bf Soft Condensed Matter Physics:}
Soft condensed matter refers to physical systems in which the energy
scales required to create sizeable deformations are comparable to
temperature. Thus, such systems can exhibit a remarkable variety
of complex flow behaviour as well as equilibrium phases under relatively
modest perturbations.
\newline
[{\small {\bf Ronojoy Adhikari, Gautam I. Menon}}]
\newline

\end{itemize} 
\vspace{-2.0mm} 
\item {\bf Statistical Mechanics:} The field of statistical mechanics
  provides a foundation for thinking about the collective behaviour of
  large numbers of interacting particles.  The behaviour of systems
  out of thermal equilibrium is of particular interest, featuring such
  problems as fracture in disordered materials, hysteresis in magnets
  and surface growth. Given the generality of the approach of
  statistical mechanics, it finds application in a huge range of
  fields, including study of critical phenomena, statistical physics
  of surfaces and networks, granular system, statistical mechanics of
  materials, turbulence in liquids, the modeling of biological systems
  and even explaining socio-economic distributions such as that of
  income or stock price fluctuations.
  \newline
  [{\small {\bf Gautam I. Menon, M. V. N.  Murthy, Purusattam Ray, R.
      Rajesh, Sitabhra Sinha}}] \newline \vspace{-2.0mm}

\item {\bf Biological Physics and Computational Biology:} The field of
the physics of biological systems is one of the most rapidly growing
areas of physics today. Apart from more traditional sub-areas, this term
is broadly defined to include fields such as computational biology,
computational genomics and protein folding, where physicists have
contributed and continue to contribute extensively.\newline
[{\small {\bf Ramesh Anishetty, Gautam I. Menon, Rahul Siddharthan, 
Sitabhra Sinha, Satyavani Vemparala}}]
\newline
\vspace{-2.0mm} 

\item {\bf Non-linear Dynamics:} Nonlinear systems exhibit surprising
and complex effects that would never be anticipated by a scientist
trained only in linear techniques.  Prominent examples of these include
bifurcation, chaos, and solitons.  Surprisingly, diverse non-linear
dynamical systems exhibit remarkably similar, sometimes even universal
behaviour.  Nonlinear science has applications to a wide variety of
fields, from mathematics, physics, biology, and chemistry, to
engineering, economics, and medicine.\newline
[{\small {\bf Radha Balakrishnan, R. Jagannathan, Sitabhra Sinha, Sudeshna
Sinha}}]
\newline
\vspace{-2.0mm} 

\item {\bf Quantum Physics:} This is a grouping of areas not subsumed
under the above headings and contains the following specializations.
\newline
\vspace{-2.0mm}
\begin{itemize}
\item {\bf Particle Beam Optics:} Many physics experiments,
notably accelerator experiments, involve particle beams. Their
quantum mechanical transport properties are being studied.\newline
[{\small {\bf R.  Jagannathan}}]
\newline
%
\item {\bf Quantum Optics:} Broadly, this area refers to the study of
quantum states of light. At IMSc, the focus in this area has been on
specifically non-classical (quantum) aspects of radiation. Other related
interests %have been and 
are geometric phases, Wigner distribution
functions for finite dimensional Hilbert spaces etc.\newline
[{\small {\bf R.  Simon, Sibasish Ghosh}}]
\newline
\vspace{-2.0mm} 

\item {\bf Quantum Entanglement, Quantum Information Theory:} Classical
states have definite attributes while quantum states can exist as
``superpositions'' and have non-classical (probabilistic) attributes. This
feature affects aspects of information science such as coding/decoding,
transmission, computing etc. Aspects of quantum information theory in
the context of finite dimensional as well as infinite dimensional
quantum state spaces are being studied.\newline
[{\small {\bf R.  Simon, V. Arvind, Sibasish Ghosh}}]
%\newline

\end{itemize}

\end{itemize}

\subsubsection{Theoretical Computer Science}
\vfill

Theoretical computer science is mainly concerned with the mathematical
structure of computations (as distinct from software development). There
are various aspects of the field that are of interest to the group at
IMSc.  A very brief description of these specializations is provided
followed by the names of faculty members currently working in these
areas.
\vfill

In 2008-2009, a total of 34 articles were submitted/accepted/published in 
journals and conference proceedings and 2 books were edited. 
\vfill 
\begin{itemize} 
% 
\item {\bf Algorithms and Data Structures:} 
% 
%
The main goal of this area is the design of efficient methods for solving various 
computational problems and developing methods for analyzing their 
performance in terms of the resources used (eg. time, space) and the 
quality of the solution. It also involves developing means of storing 
information, with small space requirements, and supporting efficient 
access and update operations. 
\newline 
% 
[{\small{\bf V. Arvind, Meena B. 
Mahajan, Venkatesh Raman, C. R. Subramanian}}] 
\newline 
\vfill

\item {\bf Computational Complexity:}
%
Broadly speaking, computational complexity theory is the study of bounds
on resources such as time and space required for solving computational
problems. The theory aims at a classification of problems into various
complexity classes defined by resource bounds and seeks to separate them
by proving lower bounds and upper bounds on resources required by the
problems. \newline
%
[{\small{\bf V. Arvind, Meena B. Mahajan}}] \newline
\vfill

\item {\bf Graph theory and Combinatorics:}
%
This area is the mathematical study of discrete objects with
applications to various branches of Computer Science. It uses tools from
various branches of mathematics such as probability theory, algebra,
etc.\newline
%
[{\small{\bf Venkatesh Raman, C. R. Subramanian}}]\newline

\item {\bf Formal models:}
%
This area is concerned with three main aspects: developing and comparing
different mathematical models of computation, developing and analyzing
different tools for logical reasoning as well as applying them to
computational processes and the connection between automata, logic and
algebra.  \newline
%
[{\small{\bf Kamal Lodaya, R. Ramanujam}}] %\newline
\vfill

\end{itemize}
\newpage
\subsection{Teaching Programmes}

An integral part of sustained research activity is training future
generations of scientists and mathematicians. At IMSc this is done by
supervising postgraduate and doctoral level thesis work. Motivated and
bright students at the graduate and post-graduate level are selected
every year through a national level Joint Entrance Screening Test
followed by an interview.  The selected students receive a fellowship
throughout their tenure. They undergo one or two years of course-work,
followed by doctoral thesis work under the guidance of a faculty member.

During 2008-2009, the student strength is 84 with 23 in Mathematics, 36 
in Physics and 25 in Theoretical Computer Science. 

{\it Six} students have submitted their doctoral theses. 

A total of 50 courses, in all three disciplines and some for
the undergraduate programme of CMI, were taught at IMSc
during 2008-2009.

Apart from this main training activity, IMSc also offers the opportunity of
learning for a few students during the summer vacation period. These
students spend up to 6 weeks doing projects with faculty members. The
faculty also supervises short-term projects during other periods. 

A total of 30 students availed these opportunities during 2008-2009.

\subsection{Scientific Meetings and Visitor Program} 

The academic members of the Institute typically participate extensively
in a large number of national and international scientific meetings.

An important component of research is the organization of 
national and international scientific meetings.  The
Institute contributes towards such activities either by sponsoring them
fully or partially.  In this year, the following conferences were
organized or co-sponsored by the Institute.
%
\begin{itemize}
%
%\item Albert Einstein Annus Mirabilis Centennial Public Lectures
%
%\item Indo UK Conference on Number theory
%
%\item  Workshop on Modeling Infectious Diseases
%
%\item K.S. Krishnan Discussion Meeting on Frontiers in Quantum
%  Science
%
%\item Annual Foundation School
%
%\item Instructional Workshop on Noncommutative Geometry
%
%\item ISEA Course on Security

%\item FTAG V
%\item ATM workshop on Algebraic Topology

\item NBHM Summer programme

%\item Cypher Retreat 2007

%\item Update Meeting on Algorithms and Complexity

%\item Xth Workshop in High Energy Physics Phenomenology

%\item K Theory Conference
\item Entanglement in Quantum Condensed Matter Systems

\item RMS/SMF/IMSc Indo-French Conference in Mathematics

\item Non Commutative Geometry and Quantum Field Theory

\item Workshop on Logic and Social Interaction

\item Third Indian Conference on Logic and its Applications

\item Workshop on von Neumann algebras, Ergodic Theory and Geometric Group Theory 
%%%%%%
\item Dagstuhl Seminar 08171 on Beyond the Finite: New Challenges in Verification and Semistructured Data

\item DST-RFBR Indo-Russian Workshop on Algebra, Combinatorics, and Complexity

\item Perspectives on concurrency theory

\item Cipher Retreat - II

\item Workshop on Cryptography

\item Signaling the Arrival of the LHC Era

\item Indian Strings Meeting 2008 (ISM08)

\item Workshop on Automata, Concurrency and Timed Systems (ACTS 09)

\item National Seminar on Advances in Nonlinear Systems(ANLS-2009)

\item Neutrinos in Particle Astrophysics and Cosmology
%%%%%%

\end{itemize}

The annual activities included the following:

\begin{itemize}

%
\item {Annual K.S. Krishnan Meeting on Quantum Matter and Quantum Entanglement}

\item {Subhashis Nag Memorial Endowment Lecture}
%
%\item {National Science Day}
%
\item {Institute Seminar Week}
%
\end{itemize}

Institute members and visitors discuss their work during weekly seminars.
During 2008-2009 around 190 such seminars were held at IMSc. %\newline

Research is a collaborative activity and is boosted by a vibrant visitor
program. The Institute hosts a large number of short term
and long term visitors. %at both junior and senior levels. 

During 2008-2009 around 124 scientists visited the Institute.

\newpage
\subsection{Collaborative Projects}

Institute members are also involved in joint projects with
colleagues from other national and international institutes. 
The following projects are ongoing:
\begin{itemize}
\vspace{-1.0mm}
\item {\bf India-based Neutrino Observatory:} The INO proposal is
  currently with the Government of India and included in the Mega
  Science Project proposals. The project is awaiting approval. INO
  group at IMSc is an active participant in the collaboration. The INO
  group at IMSc consists of D. Indumathi, H.S. Mani, M.V.N. Murthy,
  G. Rajasekaran and Nita Sinha. In addition, two full time project
  members N.S. Srinivasan and D.V. Ramakrishna are involved in the
  INO group activities at IMSc.

The IMSc group is also involved in analysing the Physics and
Simulation issues relevant to the Magnetised Iron Calorimeter (ICAL)
detector at INO.  Apart from the physics results that can be studied
with atmospheric neutrinos and neutrinos from long base-line neutrino
beams, the group is also engaged in studies such as track recognition
and reconstruction using ICAL detector.

The members of the group are taking active part in outreach
activities, by giving popular lectures at various universities and
other such institutions with the long term goal of creating awareness
and interest in INO as well as generate human resources necessary for
such a large project at a future time.

\item{\bf Physical Properties Relevant to Nanoscale Devices and
    Biological Motors in the Brownian Regime :} This is a joint
  project of Gautam I. Menon of IMSc with A.M. Jayannavar (IOP,
  Bhubaneswar) and Surajit Sengupta (SNBNCBS, Kolkata), funded by the
  Nanoscience and Nanotechnology Initiative of the DST, India.  Our
  general goal in this project is posed in terms of the following
  questions which we will attempt to address: What are the generic
  ingredients of models for machines which can do work in a thermal
  (Brownian) environment?  How do physics requirements constrain the
  design, performance and efficiency of nanoscale machines? Are there
  general principles governing how biological systems perform work at
  the nano-scale? Can we use models devised for understanding the
  functioning of nano-scale biological motors for insights into
  guiding principles for the construction of man-made devices at that
  scale?  Finally, what materials properties of nano-scale devices
  might be optimally selected if they are to be used as machine
  components?

\item{\bf Provably Efficient Exact Algorithms for NP-hard problems :}
This is a DST-DAAD joint project with Venkatesh Raman, Somnath Sikdar and Saket Saurabh of theoretical computer science and the research group of Prof. Rolf Niedermier of University of Jena, Germany and two of his students.

The aim of the project is to address problems in exact and parameterized computations utilizing the common interests and complementary skill set of the two groups. The project supports a fixed number of mutual visits of the scientists in the project. Under this project, Somnath Sikdar visited Jena University and Hannes Moser visited IMSc during this year.   
%
%\\
\vfill



\item{\bf The Debian Project}

The Debian project was established in 1993 to provide an
operating system that is composed of entirely free software.

The IMSc is one of the few academic institutions in India that runs
all its services on free software; indeed it has been a pioneer in
this area. In earlier years our contribution has been restricted to
reporting bugs and patches for those bugs.

Since November 2004 we have been maintaining some packages that are
used by the wide community of Debian users. This project is carried
out by Kapil H. Paranjape.

\item{\bf The Mechanics of Living Matter :} This is a joint project of
  Gautam I. Menon of IMSc and Sriram Ramaswamy (IISc, Bangalore),
  Jacques Prost (ESPCI, Paris), J.-F Joanny (Institut Curie,
  Paris), Madan Rao (RRI and NCBS, Bangalore), Yashodhan Hatwalne
  (RRI, Bangalore) and David Lacoste (ESPCI, Paris) and  funded
  by the Indo-French Centre for the Promotion of Advanced Research
  (CEFIPRA). The project will focuss on active systems, i.e. systems
  which contain components which are capable of taking up energy from
  their surroundings and turning it into motion via an irreversible
  chemical reaction. They arise primarily in biology, but soft-matter
  and nonequilibrium statistical physics are essential to
  understanding them. 

\item {\bf Electron Transport along Monoatomic Electrochemical Wire
    and chains:} A DST-DAAD project on Electron Transport along
  Monoatomic Electrochemical Wire and chains, involving IMSc and
  University of Ulm, Germany.  A.K. Mishra and Vallan Bruno Cruz are
  the project members from Indian side and Prof.  W. Schmickler and
  Ms. Sonja Bartenschlager are German participants.

\item {\bf Belle Colaboration:} BELLE is an international
  collaboration of 371 physicists from 14 countries (Australia,
  Austria, China, Germany, India, Italy, Japan, Korea, Poland, Russia,
  Slovenia, Switzerland, Taiwan, and USA ) and 60 institutions that
  are invovled in research pertaining to matter-antimatter differences
  and the study of other phenomenon accessible at the KEK-B collider
  operated by High Energy Accelerator Research Organization in
  Tsukuba, Japan. Rahul Sinha of IMSc was invited to join the Belle
  collaboration and is a member of Belle since July 2008.

%%\item{\bf The Mechanics of Living Matter :} This is a joint project of
%%  Gautam I. Menon of IMSc and Sriram Ramaswamy (IISc, Bangalore),
%%  Jacques Prost (ESPCI, Paris), J.-F Joanny (Institut Curie, Paris),
%%  Madan Rao (RRI and NCBS, Bangalore), Yashodhan Hatwalne (RRI,
%%  Bangalore) and David Lacoste (ESPCI, Paris) and funded by the
%%  Indo-French Centre for the Promotion of Advanced Research (CEFIPRA).
%%  The project will focuss on active systems, i.e. systems which
%%  contain components which are capable of taking up energy from their
%%  surroundings and turning it into motion via an irreversible chemical
%%  reaction. They arise primarily in biology, but soft-matter and
%%  nonequilibrium statistical physics are essential to understanding
%%  them.


\item{\bf Wave Propagation in disordered excitable media and simulated cardiac tissue}

  This is an IFCPAR project (no. 3404-4) funded by the Indo-French
  Centre for the Promotion of Advanced Research, being carried out by
  Sitabhra Sinha of IMSc in collaboration with Prof. Alain Pumir of
  INLN, Sophia-Antipolis, France.

\end{itemize}

\newpage
\subsection{Outreach}
\vfill
Apart from engaging in high quality research and training activities,
the Institute also recognizes its responsibility towards enhancing its
interactions with academic colleagues in the university system.
Currently, this occurs through two programs:
\vfill
\begin{itemize}
\item {\bf Associateship program:}
The Institute has established {\it short-term associateships} in
Mathematics, Theoretical Physics  and Theoretical Computer Science to
enable teachers from colleges and universities to work at the institute.
Under this programme, an associate can visit the institute once or twice
a year, up to a total of 90 days per year, with each visit lasting a
minimum of three weeks. The tenure of an associate is for a period of
three years and (s)he is expected to visit the institute at least twice
during this period.
\vfill

The associates are given travel allowance and daily allowance to
facilitate their visits to IMSc.  During their visit, they are
accommodated in the institute Guest House.
\vfill

During 2008-2009 six  associates visited the Institute.

\item {\bf Science Popularization:} 
The Institute organizes {\it Public Lectures} from time to time to
inform the lay public as well as to enthuse the younger
generation. An annual feature is the celebration of the {\it National
Science Day} where a science quiz competition is organized for college
students. Typically there are also talks by eminent scientist(s). 
\newline
\vfill

Many IMSc members also give talks in schools, colleges, clubs etc in
their individual capacities.

\end{itemize}
\vfill

\newpage
%\section{Facilities}
\section{Infrastructure and Facilities}
\vspace{-3.0mm}
The institute has excellent facilities required for competitive
research. The two main facilities are the {\it Library} and the {\it
Computing Environment}. The Institute also has an on-campus hostel for
students and a guest house for short term and long term visitors.
Recreational facilities are also available. The state of the art, 200
seater {\it Ramanujan Auditorium} provides the venue for conferences
and other public events of an academic nature.

\vspace{-5.0mm} 
\subsection{Computing Facilities} 
\vspace{-3.0mm}
%

%\renewcommand{\baselinestretch}{1.5}
\parskip 3pt
\centerline{\large \bf Ehnancement of Computer Facility during 2008-2009}

\begin{itemize}
\item Hardware facility:
\begin{enumerate}
\item 30 desktops were upgraded
\item 2 Netbook of makes Asus-EEE and Acer Aspire One are added
\item 10 Laptops of different makes(Apple/HP/Dell/Sony) 
were issued to faculty as a long term loan.
\item To enhance the LAN performaces 2 backbone switches added in the network.
\item One electronic scribling pad of A4 size(iBall TakeNote) added for general use.
\item 2 LCD projectors fixed in the lecture rooms.
\item New SMF batteries were added for four UPSs
\item 2 Multifunction printers installed in the HBNI cell and other Office works.
\end{enumerate}

\item Sofware facility:
\begin{enumerate}
\item Mathematica version 7 with 10 user network licenses added in the network
\item Matlab 2008b with 10 user network licenses and the additional 
Toolboxes of Image processing, Compiler, Optimization, Signal and SimBiology
added in the network.
\item Maple version 12 with 5 user network licenses newly added in the network.
\item Adobe Acrobat profession 9 S/W is installed the central place for general
use.
\end{enumerate}

\item Students are encouraged to use Institute laptops while attending conferences and workshops.
\item One Technical Assistant and one Administrative Assistant are appointed to handle 
the computer system facility under the Plan project.
\end{itemize}
%\end{document}
\vspace{-4.0mm}
\subsection{The Library}
\vspace{-2.0mm}

\noindent The Institute Library holds a total
collection of 61742 books and bound periodicals as on March 31,
2009. This includes an addition of 1267 volumes during the current
year April 2008 - March 2009. The library subscribes to around 300 national and international journals in the subject areas of Theoretical
Physics, Mathematics and Theoretical Computer Science including journals on exchange.  The library has a well balanced collection on these subject areas and is a resource for research workers of the entire southern region.

\noindent
The NBHM has recognized this Institute library
as the Regional Library for Mathematics.  An average of about 5000  outside users in a year from colleges, universities and research institutions from different parts of the country make use of the library facilities for their academic and research information needs.

\noindent The library has access to over 3000+ online journals from
major publishers such as Elsevier, American Mathematical
Society, American Physical Society, Springer Verlag, World
Scientific, Institute of Physics, Wiley, etc.

Library has also access to Nature online, Science Online, ACM Digital Library, SIAM Journals Archive, Duke Mathematical Journal, and JSTOR Full digital archive.  It has also perpetual online access to backfile collection of journals from Elesevier under DAE consortium and Annual Reviews Electronic Backvolume collection.  The library has added this year the Springer Online Collection Archive that provides perpetual access to journals in the areas of mathematics, physics and computer science and book series such as Lecture Notes in Mathematics, Physics and Computer Sciences from volume 1 till the year 1996. 

Access to online journals is restricted to members of the Institute.

\subsection*{Services}

Apart from developing the collection, the library
offers reprographic and inter library loan services.  Using Libsys
software, the library catalogue has been computerized and made
available online to the readers both within and outside the
Institute Campus. Online request for acquisition of books and
status of borrowings have also been enabled using Libsys. Library 
has implemented  RFID based system for self check-in and checkout of library materials. The library also provides effective 24x7 access to its resources with the help of RFID enabled access control system, perhaps the only library of this kind in the country.

Library has a website dedicated to host all the electronic information resources and to provide information about the library and its services. 

Library is a member of DAE Libraries Consortium that subscribes to SCIENCE DIRECT SERVICE of Elsevier.

Library is also coordinating the MathSciNet consortium which provides online access to MathSciNet for 8 participating institutions at a deeply discounted rate in the southern region. 

Library is an institutional member of AMS, MALIBNET, CURRENT SCIENCE Association, and IAPT.


\subsection{Hostel, Guest House, Recreation Facilities}

The students hostel can accommodate  34 students and currently operates
to full capacity. Currently, the Guest House has a total of 47 units of
rooms and apartments and also a dormitory with 10 beds. Some students
including married students, post-doctoral fellows and visitors are
accommodated in the guest house.

\newpage
%\section{Accounts}
\section{Audited Statement of Accounts for the year 2008-2009}
\end{document}



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\leftline{\bf Foreword}

\vspace{1cm}

I am presenting the progress report of 2008-2009 with great pleasure
noting that three of our members were given external awards including 
a Third World Academy fellowship, the J C Bose fellowship and the Prof Thathachari Science Award.

\vspace{.5cm}

The first ever review of our Institute activities was conducted by an International committee of experts representing the three main areas of activity of our Institute.  The Institute members presented their work to the committee over a period of one week during which time they also had extensive interactions with the committee.  
 
\vspace{.5cm}

This year continues to be academically productive for the members of our Institute.  We organised several conferences and workshops this year. These include  
Entanglement in Quantum Condensed matter systems, RMS-SMF Indo-French conference on Mathematics, Non-Commutative geometry and Quantum Field theory, A workshop on Logic and social interaction, a workshop on von Neumann algebras ergodic theory and geometric group theory were organized in addition to the NBHM summer nurture programme.
\vspace{.5cm}

IMSc faculty continue to organize conferences off-site.  Some of these include
the "Beyond the Finite" at Schloss Dagstuhl, the DST-RFBR Indo-Russian workshop
on algebra, combinatorics and complexity, perspectives on concurrencty theory
a festschrift for Prof Thiyagarajan at CMI, Cipher Retreat II, workshop on 
cryptography, signalling the arrival of LHC era at ICTP, 
Indian String Meeting at Pondichery, workshop on concurrency, automata and 
timed systems, the national seminar on advances in Non-linear systems and 
Neutrinos in Particle physics and cosmology.

\vspace{.5cm}

The Subashish Nag Memorial lecture was given this year by Prof Rajesh Gopakumar of the Harish-Chandra Research Institute.

\vspace{.5cm}

This report was compiled through the efforts of a Annual Report Committee comprising of Drs Krishna Maddaly, V Arvind, Rahul Sinha, Paul Pandian, Usha Devi and Mr Parthiban.  I owe my gratitude to all of them.

\vspace{.5cm}

{\noindent July, 2009} \hfill {\bf R Balasubramanian}  


\newpage
\section{The Institute}
~
\vfill
\begin{center}
\parbox[c]{4.5in}{

The Institute of Mathematical Sciences (IMSc), founded in 1962, is a
national institution for fundamental research in the mathematical and
physical sciences.
%
\newline

The Institute is funded by the  Department of Atomic Energy of the
Government of India.  Institute members work primarily in the areas of
Mathematics, Theoretical Computer Science and  Theoretical Physics. 
%
\newline

The Institute is governed by a Governing Board and an Executive Council.
Academic personnel at the Institute are grouped as Faculty,
Post-Doctoral Fellows and Junior Research Fellows.  The academic
programmes are ably supported by an administrative set-up.  The Director
is assisted by the Faculty in academic matters and by the Registrar in
financial and administrative matters.
%
\newline

At present the faculty strength is 56 with 36 members at professor level
and above and 20 junior faculty members. Typically, about 18
post-doctoral fellows from all over the world work at IMSc at any given
time. The number of doctoral students is 82 at present. The non-academic
staff number 63.  
\newline

IMSc has an outstanding scientific library, an excellent computing
environment including a recently commissioned tera-flop class cluster
computer and a dedicated high-speed network. The Institute hosts several
national and international scientific  meetings every year.
\newline

This year saw the Institute members continue to receive prestigious awards.
Prof V S Sunder was awarded the J C Bose fellowship by the 
Department of Science and Technology, Prof G Bhaskaran was awarded the 
fellowship of the Third World Academy of Sciences and Prof R Shankar 
was awarded the "Prof. Thathachari Science Award". 
\newline

This report briefly describes the programmes and activities of the
Institute as well as its achievements in the past year. More details are
available in the detailed annual report.
%
} 

\end{center} 

\newpage

\section{Board}
%\vspace{.5cm}

\noindent Dr. {\bf K. Ponmudi}, Hon'ble Minister for Education,
Government of Tamil Nadu, Fort St. George, Chennai 600 009 \\
({\bf Chairman})%\\

\noindent Dr. {\bf Anil Kakodkar}, Chairman, AEC \& Secretary to 
Government of India, Department of Atomic Energy, CSM Marg, Mumbai 400 001 
 \\
({\bf Vice-Chairman})%\\

\noindent Prof. {\bf S. K. Joshi}, Honorary Scientist Emeritus CSIR, 
Vikram Sarabhai Professor, National Physical Laboratory, Dr. K. S. 
Krishnan Road, New Delhi 110 012 \\
({\bf Member}) %\\

\noindent Prof. {\bf S. Ramachandran}, Vice Chancellor,
University of Madras, Chennai 600 005. \\
({\bf Member}) %\\

\noindent Prof. {\bf C. S. Seshadri}, Director, Chennai Mathematical 
Institute, Information Technology Park, Padur Post, Siruseri 603 103.\\
({\bf Member})% \\

\noindent Prof. {\bf S. S. Jha}, Department of Physics, Indian Institute of Technology, Bombay, Mumbai 400 076 \\
\hfill ({\bf Member})%\\

\noindent Prof. {\bf Mustansir Barma}, Director, Tata
Institute of Fundamental Research, Mumbai 400 005 \\
({\bf Member}) %\\

\noindent Prof. {\bf Amitava Raychaudhuri,} Director, Harish Chandra Research 
Institute,
Chhatnag Road, Jhusi, Allahabad 211 019. \\
({\bf Member}) %\\


\newpage


\noindent Dr. {\bf P. Mukherjee}, IA \& AS.,Joint Secretery(R\&D), Department of Atomic Energy, CSM Marg, Mumbai 400 001 \\
({\bf Member}) %\\

\noindent Shri {\bf V.R. Sadasivam}, IDAS., \ Joint Secretary (Finance) to
Government of India, Department of Atomic Energy, CSM Marg, Mumbai 400 001 \\
({\bf Member}) %\\

\noindent Shri {\bf K. Ganesan}, I.A.S., Secretary to
Government, Higher Education Department, Government of Tamil Nadu, Fort
St. George, Chennai 600 009 \\
({\bf Member}) %\\

\noindent Prof. {\bf R. Balasubramanian}, Director, The Institute of 
Mathematical Sciences, Chennai
\\({\bf Member Secretary}) 

\newpage
\section{Executive Council}

\vspace{0.3cm}
\vspace{0.3cm}
\noindent Prof. {\bf S. K. Joshi}, Honorary Scientist Emeritus CSIR, 
Vikram Sarabhai Professor, National Physical Laboratory, Dr. K. S. Krishnan Road,
New Delhi 110 012 \\({\bf Chairman})%\\

\vspace{0.3cm}
\noindent Prof. {\bf Mustansir Barma}, Director, Tata
Institute of Fundamental Research, Mumbai 400 005 \\
({\bf Member})%\\

\vspace{0.3cm}
\noindent Prof.{\bf Amitava Raychaudhuri,} Director, Harish Chandra Research
Institute, Chhatnag Road, Jhusi, Allahabad  211 019 \\
({\bf Member})%\\

\vspace{0.3cm}
\noindent Prof. {\bf C. S. Seshadri}, Director, Chennai Mathematical
Institute, Information Technology Park, Padur Post, Siruseri,603 103.\\
({\bf Member})%\\

\noindent Dr {\bf P. Mukherjee,} IA \& AS., Joint Secretery (R\&D), Department of Atomic Energy, CSM Marg, Mumbai 400 001 \\
({\bf Member})%\\

\noindent Shri {\bf V.R. Sadasivam}, IDAS., \ Joint Secretary (Finance) to
Government of India, Department of Atomic Energy, CSM Marg, Mumbai 400 001\\
({\bf Member}) %\\

\vspace {0.3cm}
\vspace{0.3cm}
\noindent Shri {\bf K. Ganesan}, I.A.S., Secretary to
Government, Higher Education Department, Government of Tamil Nadu, Fort
St. George, Chennai 600 009\\
({\bf Member}) %\\

\vspace{0.3cm}
\noindent Prof. {\bf R. Balasubramanian}, Director,
The Institute of Mathematical Sciences,Chennai\\({\bf Member Secretary}) 

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newpage
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\subsection{Faculty}

\parbox[t]{6.4cm}{\bf{Mathematics}}

%\vskip \LineSpacing

\parbox[t]{6.4cm}{\bf {Balasubramanian,}  R.}
\parbox[t]{6.4cm}{\bf {Chakraborty,} Partha Sarthi}
\parbox[t]{6.4cm}{\bf {Chatterjee,} Pralay}
\parbox[t]{6.4cm}{\bf {Gun,} Sanoli}
\parbox[t]{6.4cm}{\bf {Iyer,}Jaya N.}
\parbox[t]{6.4cm}{\bf {Kesavan,}S }
\parbox[t]{6.4cm}{\bf {Kodiyalam,} Vijay }
\parbox[t]{6.4cm}{\bf {Krishna,} M. }
\parbox[t]{6.4cm}{\bf {Mohari}, Anilesh}
\parbox[t]{6.4cm}{\bf {Mukhopadhyay}, Anirban}
\parbox[t]{6.4cm}{\bf {Nagaraj,} D. S.}
\parbox[t]{6.4cm}{\bf {Paranjape,} Kapil H.}
\parbox[t]{6.4cm}{\bf {Prasad,} Amritanshu}
\parbox[t]{6.4cm}{\bf {Raghavan,} K. N.}
\parbox[t]{6.4cm}{\bf {Sankaran,} P. }
\parbox[t]{6.4cm}{\bf {Srinivas,} K. }
\parbox[t]{6.4cm}{\bf {Sunder,} V. S.}

%\vskip \LineSpacing

\parbox[t]{6.4cm}{\bf{Physics}}
%\vskip \LineSpacing

\parbox[t]{6.4cm}{\bf {Adhikari,} Ronojoy }
\parbox[t]{6.4cm}{\bf {Anishetty,}
R. }
\parbox[t]{6.4cm}{\bf {Baskaran,}
G. }
\parbox[t]{6.4cm}{\bf {Basu,}
Rahul }
\parbox[t]{6.4cm}{\bf {Date,}
G.}
\parbox[t]{6.4cm}{\bf {Digal,}
Sanatan}
\parbox[t]{6.4cm}{\bf {Ghosh,} Sibasish}
\parbox[t]{6.4cm}{\bf {Govindarajan,}
T. R.}
\parbox[t]{6.4cm}{\bf {Hassan,} Syed Raghib}
\parbox[t]{6.4cm}{\bf {Indumathi,}
D. }
\parbox[t]{6.4cm}{\bf {Jagannathan,}
R. }
\parbox[t]{6.4cm}{\bf {Jayakumar,} Prashanth.}
\parbox[t]{6.4cm}{\bf {Jayaraman,}
 T.}
\parbox[t]{6.4cm}{\bf {Kaul,}
R. }
\parbox[t]{6.4cm}{\bf {Menon,}
Gautam I.}
\parbox[t]{6.4cm}{\bf {Mishra,}
Ashok K.}
\parbox[t]{6.4cm}{\bf {Murthy,} M. V. N.}
\parbox[t]{6.4cm}{\bf {Mukhopadhyay,} Partha}
\parbox[t]{6.4cm}{\bf {Nemani,} Venkata Suryanarayana.}
\parbox[t]{6.4cm}{\bf {Rajesh,} Ravindran}
\parbox[t]{6.4cm}{\bf {Rama,} S. Kalyana }
\parbox[t]{6.4cm}{\bf {Ray,} Purusattam }
\parbox[t]{6.4cm}{\bf {Sathiapalan,}
Balachandran}
\parbox[t]{6.4cm}{\bf {Shankar,}
R. }
\parbox[t]{6.4cm}{\bf {Sharatchandra,}
H. S. }
\parbox[t]{6.4cm}{\bf {Siddharthan,}
Rahul}
\parbox[t]{6.4cm}{\bf {Simon,}
R. }
\parbox[t]{6.4cm}{\bf {Sinha,}
Nita}
\parbox[t]{6.4cm}{\bf {Sinha,}
Rahul }
\parbox[t]{6.4cm}{\bf {Sinha,}
Sitabhra }
\parbox[t]{6.4cm}{\bf {Sinha,}
Sudeshna }
\parbox[t]{6.4cm}{\bf {Sujay K,}
Ashok }
\parbox[t]{6.4cm}{\bf {Vemparala}, Satyavani}
%\vskip \LineSpacing

\parbox[t]{6.4cm}{\bf{Theoretical Computer Science}}
%\vskip \LineSpacing

\parbox[t]{6.4cm}{\bf {Arvind,} V. }
\parbox[t]{6.4cm}{\bf {Lodaya,} Kamal }
\parbox[t]{6.4cm}{\bf {Mahajan,} Meena B.}
\parbox[t]{6.4cm}{\bf {Raman,} Venkatesh }
\parbox[t]{6.4cm}{\bf {Ramanujam,}  R.}
\parbox[t]{6.4cm}{\bf {Subramanian,} C.R.}

\newpage \section{Academic Activities and Programmes}
%
%
\subsection{Research Activities} Faculty members at IMSc carry out
research in their areas of interests in a self-directed manner, often in
collaboration with doctoral students, post-doctoral fellows and
researchers from elsewhere. Research output is disseminated primarily
as refereed journal articles as well as articles in conference
proceedings. The expertise available at the institute is organized below
according to the areas of specialization.
%
\vspace{-5.0mm}
\subsubsection{Mathematics}
\vspace{-4.0mm}
%
The Mathematics group has wide ranging interests. These specializations
are conveniently grouped together under broad headings. A very brief
description is provided followed by the names of faculty members
currently working in these areas. 

In 2008-2009, a total of 59 articles were submitted/accepted/published
 in journals and
conference proceedings.
\vspace{-2.0mm}
\begin{itemize}
\item{\bf Algebra:}
%
Algebra is the study of the properties of mathematical structures
involving ``algebraic'' operations such as addition and multiplication.
One of the main motivations to study algebraic structures is to analyze
geometric objects such as curves and surfaces via the algebra of
functions defined on them. Aspects of algebra being studied at IMSc
involve algebraic geometry (study of loci of solutions of polynomial
equations),  algebraic groups (groups of matrices),  and the theory of
knots. \newline
%
[{\small{\bf Vijay Kodiyalam, D. S. Nagaraj, K. N. Raghavan.}}]\newline

\item{\bf Algebraic Geometry:}
%
This branch of mathematics is a study of the solution set of a finite
set of polynomials in several variables. The total degrees of the
polynomials and the number of polynomials play an important role in
determining the geometry of the solution set. This subject has rich
interactions with mathematical physics and other areas.\newline 
%
[{\small{\bf Jaya Iyer, Kapil Paranjape, D. S.  Nagaraj}}]\newline
%
\item{\bf Mathematical physics:}
%
An important area of mathematical physics is the spectral theory of
Schr\"odinger operators. Such operators arise in describing the quantum
mechanics of particles. The spectrum of such an operator gives the
possible energies of the quantum system. The operators are considered
both for deterministic as well as random potentials and the focus is on
obtaining the spectrum rigorously. \newline
Another area of study is the quantum spin chains, where the ground state 
of various models is studied for its uniqueness.  Another major question
in the area is the existence of a mass gap.  In addition to these entropy of quantum dynamical systems is studied.
%
[{\small{\bf M. Krishna, A. Mohari}}]\newline

\item{\bf Number Theory:}
%
Number theory is concerned mainly with the way prime numbers are
distributed in the set of natural numbers. This area has rich
interactions with many other branches of mathematics including algebra,
complex analysis and geometry. There are also applications to
cryptography.\newline
%
[{\small{\bf R. Balasubramanian, Kapil Paranjape, K. Srinivas, Anirban Mukhopadhyay, Sonali Gun}}]\newline

\item{\bf Operator algebras:} 

This subject may loosely be described as the study of
`infinite-dimensional matrices'. It was introduced by von Neumann in
order to address some problems arising from quantum mechanics. Even
today, it is intimately tied to various branches of physics as well as
to other areas of pure mathematics, such as knot theory.\newline
%
[{\small{\bf Vijay Kodiyalam, V. S. Sunder, Partha Sarathi Chakraborty}}]\newline

%\item{\bf Non-commutative Geometry:} 
%
%This area is the study of geometry of space where points are taken to be
%operators.
%[{\small{\bf Partha Sarathi Chakraborty}}]\newline


\item{\bf Partial Differential Equations:}

Partial Differential equations (PDEs) arise when studying several
problems in physics and engineering. The research done in this area
includes the study of existence and multiplicity of solutions (of linear
and nonlinear PDEs or systems of PDEs) and their qualitative properties
such as their behaviour as various parameters tend to some limit, the
estimation of their size in various norms and so on. The techniques used
come from functional analysis and the calculus of variations (study of
critical points of functionals defined on infinite dimensional
spaces).\newline
%
[{\small{\bf S. Kesavan}}]\newline

\item{\bf Representation theory:}
%
Groups are algebraic structures that arise as symmetries of physical or
mathematical objects. Representation theory studies properties of
abstract groups via their matrix representations.  Representation theory
enables many group-theoretic problems to be reduced to problems in
matrix algebra, which is very well-understood. \newline
%
[{\small{\bf A. Prasad, K. N. Raghavan, P. Sankaran}}]\newline

\item{\bf Topology:}
%
Topology may be described as geometry with or without a notion of
distance. It aims to study properties of these objects, of which curves
and surfaces are well-known examples, which are invariant under
deformations.  The subject has wide applications within mathematics as
well as in physics.\newline
%
[{\small{\bf P. Sankaran}}]%\newline

\end{itemize}

\newpage

\subsubsection{Theoretical Physics}

\vspace{-1.0mm}
The Theoretical Physics group subsumes a very broad spectrum of
specializations.  These are conveniently grouped under a
smaller number of headings. A very brief description is provided
followed by the names of faculty members currently working in these
areas. 

\vspace{-2.0mm} In 2008-2009, a total of 73 articles were
submitted/accepted for publication in journals and conference
proceedings and a volume in Journal of Physics: conference Series, 
was edited.      
% 39?? 
% and 39?? were submitted/accepted for publication.
\vspace{-2.0mm}
\begin{itemize}

\item {\bf Elementary Particle Physics:} The current status of our
knowledge of the sub-nuclear constituents of nature and their properties
is well summarized by the {\it Standard Model}. This model describes
the strong and electro-weak interactions.  The research involves both
elaboration of the model as well as searching for clues to go beyond it.
The following grouping refers to different aspects that are being
pursued at IMSc.  \newline

\begin{itemize}
\item{\bf Collider Physics:} The phenomenological aspects of physics
  at existing and future colliders are studied with a view to seek
  possible signals of New Physics (or Physics beyond the Standard
  Model). Globally the main focus is currently on
  the physics discovery potential of the upcoming Large Hadron Collider
  (LHC) at CERN in Geneva. India is an observer member at CERN, the
  European Organization for Nuclear Research.  \newline 
[{\small {\bf Rahul Basu, Rahul Sinha}}]\newline

\item {\bf Perturbative QCD:} This deals with the strong forces in the
standard model particularly in the context of scattering
processes.\newline
[{\small {\bf Rahul Basu, D. Indumathi, M. V. N. Murthy}}]
\newline

\item {\bf Non-Perturbative QCD:} This deals with widely believed
  properties of strong forces such as ``color confinement'', ``color
  superconductivity'' and ``chiral symmetry breaking''.  \newline
  [{\small {\bf Ramesh Anishetty, Sanatan Digal, Prashanth Jayakumar,
      H. S. Sharatchandra}}] \newline

\item {\bf Neutrino Physics:} Neutrinos are very weakly interacting
particles which have recently been found to be massive, going beyond the
Standard Model. There is a national proposal to build a {\it Indian
Neutrino Observatory} (INO).\newline
[{\small {\bf D. Indumathi, M. V. N. Murthy, Nita Sinha}}]
\newline

\item {\bf CP-violation and B-Physics:}  %  Symmetries play a crucial role
%   in understanding the fundamental laws of nature. 
  Several experiments worldwide are studying the physics of ``beauty
  mesons'' (B-physics) in order to explain the observed CP-violation (the
  dominance of matter over antimatter). Such studies are also
  important in the search for physics beyond the Standard Model.
% % Symmetries play a crucial role
% in building models. The combined invariance under charge conjugation and
% parity is the CP symmetry. Its violation, which correlates with the
% violation of `time reversal symmetry', is being investigated in both the
% strong and the weak interactions.  Physics involving the ``bottom
% quark'' holds the promise of physics beyond the Standard Model.
%
\newline
[{\small {\bf Nita Sinha, Rahul Sinha}}]
\newline

\item {\bf Gravitational Physics:} Einstein's theory of gravity has a
bearing on the theory of our cosmos and also predicts exotic objects
such as black holes. Its quantum version is being constructed in a
variety of approaches such as string theory, loop quantum gravity,
non-commutative geometry etc. Both classical and quantum aspects of
gravity are being studied at IMSc.
%
\newline
%
[{\small {\bf Ghanashyam Date, T. R.  Govindarajan, Romesh Kaul}}]
%
\newline

\item {\bf Quantum Field Theory:} This provides a general theoretical
framework for the quantum theory of fields. Apart from the perturbative
analyses of quantum field theories used in the theory of scattering
processes, their non-perturbative aspects are crucial for a more
complete understanding.  There are many different types of quantum field
theories such as Conformal Field Theories, Topological Field Theories,
Non-commutative Field Theories, Lattice Gauge Theories etc.\newline
%
[{\small {\bf Sanatan Digal, T. R.  Govindarajan,
Romesh Kaul, H. S. Sharatchandra}}] \newline

\item {\bf String Theory:} In the quest for a unified framework to
understand all interactions, string theory is the leading approach.  At
IMSc the focus has been on Calabi-Yau manifolds, loop variables
approach, string dualities, brane physics including cosmology and black
hole entropy. 
%
\newline [{\small {\bf Sujay K. Ashok, T.  Jayaraman, S. Kalyana Rama, Partha Mukhopadhyay,
Balachandran Sathiapalan, Nemani V. Suryanarayana}}]
%
%
\newline

\end{itemize}

\item {\bf Condensed Matter Physics:} The field of condensed matter
physics deals with the understanding of the properties of materials.
Materials display an amazingly diverse set of properties; for example,
the resistivity of materials can vary over about 20 orders of magnitude
depending on the material.  Condensed matter physics attempts to
understand the reasons behind such diversity of behaviour in terms of
simpler models which can then be studied using a variety of theoretical
and computational tools.
\newline

\begin{itemize}

\item {\bf High Temperature Superconductivity:} At very low
temperatures, several materials undergo a transition into a
superconducting state, in which an electrical current flows without
resistance. The properties of materials which superconduct at somewhat
higher temperatures, the high-temperature superconductors, is one of the
most active areas of research today, since it raises many theoretical
questions of principle and has important implications for technology.\newline
[{\small {\bf G. Baskaran, Gautam I. Menon}}]
\newline

\item {\bf Correlated Electronic Systems, Magnetism and the Quantum Hall
Effect:} The interactions between electrons is responsible for
magnetism. Such interactions are key to several unusual electronic
states.  Understanding this problem better would impact our
understanding of a host of recently discovered materials with unusual
properties.
\newline [{\small {\bf G. Baskaran, Syed Raghib Hassan, A. K. Mishra, R.  Shankar}}] 
\newline

\item {\bf Electrochemistry, Chemisorption and Electron Transfer:}
Electrochemistry is the science of the reactions that can take place at
the interface of an electronic conductor (the electrode, which can be a
metal or a semiconductor including graphite) and an ionic conductor (the
electrolyte).\newline
[{\small {\bf A. K. Mishra}}]
\newline

\item {\bf Soft Condensed Matter Physics:}
Soft condensed matter refers to physical systems in which the energy
scales required to create sizeable deformations are comparable to
temperature. Thus, such systems can exhibit a remarkable variety
of complex flow behaviour as well as equilibrium phases under relatively
modest perturbations.
\newline
[{\small {\bf Ronojoy Adhikari, Gautam I. Menon}}]
\newline

\end{itemize} 
\vspace{-2.0mm} 
\item {\bf Statistical Mechanics:} The field of statistical mechanics
  provides a foundation for thinking about the collective behaviour of
  large numbers of interacting particles.  The behaviour of systems
  out of thermal equilibrium is of particular interest, featuring such
  problems as fracture in disordered materials, hysteresis in magnets
  and surface growth. Given the generality of the approach of
  statistical mechanics, it finds application in a huge range of
  fields, including study of critical phenomena, statistical physics
  of surfaces and networks, granular system, statistical mechanics of
  materials, turbulence in liquids, the modeling of biological systems
  and even explaining socio-economic distributions such as that of
  income or stock price fluctuations.
  \newline
  [{\small {\bf Gautam I. Menon, M. V. N.  Murthy, Purusattam Ray, R.
      Rajesh, Sitabhra Sinha}}] \newline \vspace{-2.0mm}

\item {\bf Biological Physics and Computational Biology:} The field of
the physics of biological systems is one of the most rapidly growing
areas of physics today. Apart from more traditional sub-areas, this term
is broadly defined to include fields such as computational biology,
computational genomics and protein folding, where physicists have
contributed and continue to contribute extensively.\newline
[{\small {\bf Ramesh Anishetty, Gautam I. Menon, Rahul Siddharthan, 
Sitabhra Sinha, Satyavani Vemparala}}]
\newline
\vspace{-2.0mm} 

\item {\bf Non-linear Dynamics:} Nonlinear systems exhibit surprising
and complex effects that would never be anticipated by a scientist
trained only in linear techniques.  Prominent examples of these include
bifurcation, chaos, and solitons.  Surprisingly, diverse non-linear
dynamical systems exhibit remarkably similar, sometimes even universal
behaviour.  Nonlinear science has applications to a wide variety of
fields, from mathematics, physics, biology, and chemistry, to
engineering, economics, and medicine.\newline
[{\small {\bf Radha Balakrishnan, R. Jagannathan, Sitabhra Sinha, Sudeshna
Sinha}}]
\newline
\vspace{-2.0mm} 

\item {\bf Quantum Physics:} This is a grouping of areas not subsumed
under the above headings and contains the following specializations.
\newline
\vspace{-2.0mm}
\begin{itemize}
\item {\bf Particle Beam Optics:} Many physics experiments,
notably accelerator experiments, involve particle beams. Their
quantum mechanical transport properties are being studied.\newline
[{\small {\bf R.  Jagannathan}}]
\newline
%
\item {\bf Quantum Optics:} Broadly, this area refers to the study of
quantum states of light. At IMSc, the focus in this area has been on
specifically non-classical (quantum) aspects of radiation. Other related
interests %have been and 
are geometric phases, Wigner distribution
functions for finite dimensional Hilbert spaces etc.\newline
[{\small {\bf R.  Simon, Sibasish Ghosh}}]
\newline
\vspace{-2.0mm} 

\item {\bf Quantum Entanglement, Quantum Information Theory:} Classical
states have definite attributes while quantum states can exist as
``superpositions'' and have non-classical (probabilistic) attributes. This
feature affects aspects of information science such as coding/decoding,
transmission, computing etc. Aspects of quantum information theory in
the context of finite dimensional as well as infinite dimensional
quantum state spaces are being studied.\newline
[{\small {\bf R.  Simon, V. Arvind, Sibasish Ghosh}}]
%\newline

\end{itemize}

\end{itemize}

\subsubsection{Theoretical Computer Science}
\vfill

Theoretical computer science is mainly concerned with the mathematical
structure of computations (as distinct from software development). There
are various aspects of the field that are of interest to the group at
IMSc.  A very brief description of these specializations is provided
followed by the names of faculty members currently working in these
areas.
\vfill

In 2008-2009, a total of 45 articles were submitted/accepted/published in 
journals and conference proceedings and 2 books were edited. 
\vfill 
\begin{itemize} 
% 
\item {\bf Algorithms and Data Structures:} 
% 
%
The main goal of this area is the design of efficient methods for solving various 
computational problems and developing methods for analyzing their 
performance in terms of the resources used (eg. time, space) and the 
quality of the solution. It also involves developing means of storing 
information, with small space requirements, and supporting efficient 
access and update operations. 
\newline 
% 
[{\small{\bf V. Arvind, Meena B. 
Mahajan, Venkatesh Raman, C. R. Subramanian}}] 
\newline 
\vfill

\item {\bf Computational Complexity:}
%
Broadly speaking, computational complexity theory is the study of bounds
on resources such as time and space required for solving computational
problems. The theory aims at a classification of problems into various
complexity classes defined by resource bounds and seeks to separate them
by proving lower bounds and upper bounds on resources required by the
problems. \newline
%
[{\small{\bf V. Arvind, Meena B. Mahajan}}] \newline
\vfill

\item {\bf Graph theory and Combinatorics:}
%
This area is the mathematical study of discrete objects with
applications to various branches of Computer Science. It uses tools from
various branches of mathematics such as probability theory, algebra,
etc.\newline
%
[{\small{\bf Venkatesh Raman, C. R. Subramanian}}]\newline

\item {\bf Formal models:}
%
This area is concerned with three main aspects: developing and comparing
different mathematical models of computation, developing and analyzing
different tools for logical reasoning as well as applying them to
computational processes and the connection between automata, logic and
algebra.  \newline
%
[{\small{\bf Kamal Lodaya, R. Ramanujam}}] %\newline
\vfill

\end{itemize}
\newpage
\subsection{Teaching Programmes}

An integral part of sustained research activity is training future
generations of scientists and mathematicians. At IMSc this is done by
supervising postgraduate and doctoral level thesis work. Motivated and
bright students at the graduate and post-graduate level are selected
every year through a national level Joint Entrance Screening Test
followed by an interview.  The selected students receive a fellowship
throughout their tenure. They undergo one or two years of course-work,
followed by doctoral thesis work under the guidance of a faculty member.

During 2008-2009, the student strength is 82 with 23 in Mathematics, 36 
in Physics and 23 in Theoretical Computer Science. 

{\it Four} students have submitted their doctoral theses. 

A total of 44 courses, in all three disciplines and some for
the undergraduate programme of CMI, were taught at IMSc
during 2008-2009.

Apart from this main training activity, IMSc also offers the opportunity of
learning for a few students during the summer vacation period. These
students spend up to 6 weeks doing projects with faculty members. The
faculty also supervises short-term projects during other periods. 

A total of 13 students availed these opportunities during 2008-2009.

\subsection{Scientific Meetings and Visitor Program} 

The academic members of the Institute typically participate extensively
in a large number of national and international scientific meetings.

An important component of research is the organization of 
national and international scientific meetings.  The
Institute contributes towards such activities either by sponsoring them
fully or partially.  In this year, the following conferences were
organized or co-sponsored by the Institute.
%
\begin{itemize}
%
%\item Albert Einstein Annus Mirabilis Centennial Public Lectures
%
%\item Indo UK Conference on Number theory
%
%\item  Workshop on Modeling Infectious Diseases
%
%\item K.S. Krishnan Discussion Meeting on Frontiers in Quantum
%  Science
%
%\item Annual Foundation School
%
%\item Instructional Workshop on Noncommutative Geometry
%
%\item ISEA Course on Security

%\item FTAG V
%\item ATM workshop on Algebraic Topology

\item NBHM Summer programme

%\item Cypher Retreat 2007

%\item Update Meeting on Algorithms and Complexity

%\item Xth Workshop in High Energy Physics Phenomenology

%\item K Theory Conference
\item Entanglement in Quantum Condensed Matter Systems

\item RMS/SMF/IMSc Indo-French Conference in Mathematics

\item Non Commutative Geometry and Quantum Field Theory

\item Workshop on Logic and Social Interaction

\item Third Indian Conference on Logic and its Applications

\item Workshop on von Neumann algebras, Ergodic Theory and Geometric Group Theory 
%%%%%%
\item Dagstuhl Seminar 08171 on Beyond the Finite: New Challenges in Verification and Semistructured Data

\item DST-RFBR Indo-Russian Workshop on Algebra, Combinatorics, and Complexity

\item Perspectives on concurrency theory

\item Cipher Retreat - II

\item Workshop on Cryptography

\item Signaling the Arrival of the LHC Era

\item Indian Strings Meeting 2008 (ISM08)

\item Workshop on Automata, Concurrency and Timed Systems (ACTS 09)

\item National Seminar on Advances in Nonlinear Systems(ANLS-2009)

\item Neutrinos in Particle Astrophysics and Cosmology
%%%%%%

\end{itemize}

The annual activities included the following:

\begin{itemize}

%
\item {Annual K.S. Krishnan Meeting on Quantum Matter and Quantum Entanglement}

\item {Subhashis Nag Memorial Endowment Lecture}
%
%\item {National Science Day}
%
\item {Institute Seminar Week}
%
\end{itemize}

Institute members and visitors discuss their work during weekly seminars.
During 2008-2009 around 190 such seminars were held at IMSc. %\newline

Research is a collaborative activity and is boosted by a vibrant visitor
program. The Institute hosts a large number of short term
and long term visitors. %at both junior and senior levels. 

During 2008-2009 around 124 scientists visited the Institute.

\newpage
\subsection{Collaborative Projects}

Institute members are also involved in joint projects with
colleagues from other national and international institutes. 
The following projects are ongoing:
\begin{itemize}
\vspace{-1.0mm}
\item {\bf India-based Neutrino Observatory:} The INO proposal is
  currently with the Government of India and included in the Mega
  Science Project proposals. The project is awaiting approval. INO
  group at IMSc is an active participant in the collaboration. The INO
  group at IMSc consists of D. Indumathi, H.S. Mani, M.V.N. Murthy,
  G. Rajasekaran and Nita Sinha. In addition, two full time project
  members N.S. Srinivasan and D.V. Ramakrishna are involved in the
  INO group activities at IMSc.

The IMSc group is also involved in analysing the Physics and
Simulation issues relevant to the Magnetised Iron Calorimeter (ICAL)
detector at INO.  Apart from the physics results that can be studied
with atmospheric neutrinos and neutrinos from long base-line neutrino
beams, the group is also engaged in studies such as track recognition
and reconstruction using ICAL detector.

The members of the group are taking active part in outreach
activities, by giving popular lectures at various universities and
other such institutions with the long term goal of creating awareness
and interest in INO as well as generate human resources necessary for
such a large project at a future time.

\item{\bf Physical Properties Relevant to Nanoscale Devices and
    Biological Motors in the Brownian Regime :} This is a joint
  project of Gautam I. Menon of IMSc with A.M. Jayannavar (IOP,
  Bhubaneswar) and Surajit Sengupta (SNBNCBS, Kolkata), funded by the
  Nanoscience and Nanotechnology Initiative of the DST, India.  Our
  general goal in this project is posed in terms of the following
  questions which we will attempt to address: What are the generic
  ingredients of models for machines which can do work in a thermal
  (Brownian) environment?  How do physics requirements constrain the
  design, performance and efficiency of nanoscale machines? Are there
  general principles governing how biological systems perform work at
  the nano-scale? Can we use models devised for understanding the
  functioning of nano-scale biological motors for insights into
  guiding principles for the construction of man-made devices at that
  scale?  Finally, what materials properties of nano-scale devices
  might be optimally selected if they are to be used as machine
  components?

\item{\bf Provably Efficient Exact Algorithms for NP-hard problems :}
This is a DST-DAAD joint project with Venkatesh Raman, Somnath Sikdar and Saket Saurabh of theoretical computer science and the research group of Prof. Rolf Niedermier of University of Jena, Germany and two of his students.

The aim of the project is to address problems in exact and parameterized computations utilizing the common interests and complementary skill set of the two groups. The project supports a fixed number of mutual visits of the scientists in the project. Under this project, Somnath Sikdar visited Jena University and Hannes Moser visited IMSc during this year.   
%
%\\
\vfill



\item{\bf The Debian Project}

The Debian project was established in 1993 to provide an
operating system that is composed of entirely free software.

The IMSc is one of the few academic institutions in India that runs
all its services on free software; indeed it has been a pioneer in
this area. In earlier years our contribution has been restricted to
reporting bugs and patches for those bugs.

Since November 2004 we have been maintaining some packages that are
used by the wide community of Debian users. This project is carried
out by Kapil H. Paranjape.

\item{\bf The Mechanics of Living Matter :} This is a joint project of
  Gautam I. Menon of IMSc and Sriram Ramaswamy (IISc, Bangalore),
  Jacques Prost (ESPCI, Paris), J.-F Joanny (Institut Curie,
  Paris), Madan Rao (RRI and NCBS, Bangalore), Yashodhan Hatwalne
  (RRI, Bangalore) and David Lacoste (ESPCI, Paris) and  funded
  by the Indo-French Centre for the Promotion of Advanced Research
  (CEFIPRA). The project will focuss on active systems, i.e. systems
  which contain components which are capable of taking up energy from
  their surroundings and turning it into motion via an irreversible
  chemical reaction. They arise primarily in biology, but soft-matter
  and nonequilibrium statistical physics are essential to
  understanding them. 

\item {\bf Electron Transport along Monoatomic Electrochemical Wire
    and chains:} A DST-DAAD project on Electron Transport along
  Monoatomic Electrochemical Wire and chains, involving IMSc and
  University of Ulm, Germany.  A.K. Mishra and Vallan Bruno Cruz are
  the project members from Indian side and Prof.  W. Schmickler and
  Ms. Sonja Bartenschlager are German participants.

\item {\bf Belle Colaboration:} BELLE is an international
  collaboration of 371 physicists from 14 countries (Australia,
  Austria, China, Germany, India, Italy, Japan, Korea, Poland, Russia,
  Slovenia, Switzerland, Taiwan, and USA ) and 60 institutions that
  are invovled in research pertaining to matter-antimatter differences
  and the study of other phenomenon accessible at the KEK-B collider
  operated by High Energy Accelerator Research Organization in
  Tsukuba, Japan. Rahul Sinha of IMSc was invited to join the Belle
  collaboration and is a member of Belle since July 2008.

%%\item{\bf The Mechanics of Living Matter :} This is a joint project of
%%  Gautam I. Menon of IMSc and Sriram Ramaswamy (IISc, Bangalore),
%%  Jacques Prost (ESPCI, Paris), J.-F Joanny (Institut Curie, Paris),
%%  Madan Rao (RRI and NCBS, Bangalore), Yashodhan Hatwalne (RRI,
%%  Bangalore) and David Lacoste (ESPCI, Paris) and funded by the
%%  Indo-French Centre for the Promotion of Advanced Research (CEFIPRA).
%%  The project will focuss on active systems, i.e. systems which
%%  contain components which are capable of taking up energy from their
%%  surroundings and turning it into motion via an irreversible chemical
%%  reaction. They arise primarily in biology, but soft-matter and
%%  nonequilibrium statistical physics are essential to understanding
%%  them.


\item{\bf Wave Propagation in disordered excitable media and simulated cardiac tissue}

  This is an IFCPAR project (no. 3404-4) funded by the Indo-French
  Centre for the Promotion of Advanced Research, being carried out by
  Sitabhra Sinha of IMSc in collaboration with Prof. Alain Pumir of
  INLN, Sophia-Antipolis, France.

\end{itemize}

\newpage
\subsection{Outreach}
\vfill
Apart from engaging in high quality research and training activities,
the Institute also recognizes its responsibility towards enhancing its
interactions with academic colleagues in the university system.
Currently, this occurs through two programs:
\vfill
\begin{itemize}
\item {\bf Associateship program:}
The Institute has established {\it short-term associateships} in
Mathematics, Theoretical Physics  and Theoretical Computer Science to
enable teachers from colleges and universities to work at the institute.
Under this programme, an associate can visit the institute once or twice
a year, up to a total of 90 days per year, with each visit lasting a
minimum of three weeks. The tenure of an associate is for a period of
three years and (s)he is expected to visit the institute at least twice
during this period.
\vfill

The associates are given travel allowance and daily allowance to
facilitate their visits to IMSc.  During their visit, they are
accommodated in the institute Guest House.
\vfill

During 2008-2009 six  associates visited the Institute.

\item {\bf Science Popularization:} 
The Institute organizes {\it Public Lectures} from time to time to
inform the lay public as well as to enthuse the younger
generation. An annual feature is the celebration of the {\it National
Science Day} where a science quiz competition is organized for college
students. Typically there are also talks by eminent scientist(s). 
\newline
\vfill

Many IMSc members also give talks in schools, colleges, clubs etc in
their individual capacities.

\end{itemize}
\vfill

\newpage
%\section{Facilities}
\section{Infrastructure and Facilities}
\vspace{-3.0mm}
The institute has excellent facilities required for competitive
research. The two main facilities are the {\it Library} and the {\it
Computing Environment}. The Institute also has an on-campus hostel for
students and a guest house for short term and long term visitors.
Recreational facilities are also available. The state of the art, 200
seater {\it Ramanujan Auditorium} provides the venue for conferences
and other public events of an academic nature.

\vspace{-5.0mm} 
\subsection{Computing Facilities} 
\vspace{-3.0mm}
%

%\renewcommand{\baselinestretch}{1.5}
\parskip 3pt
\centerline{\large \bf Ehnancement of Computer Facility during 2008-2009}

\begin{itemize}
\item Hardware facility:
\begin{enumerate}
\item 30 desktops were upgraded
\item 2 Netbook of makes Asus-EEE and Acer Aspire One are added
\item 10 Laptops of different makes(Apple/HP/Dell/Sony) 
were issued to faculty as a long term loan.
\item To enhance the LAN performaces 2 backbone switches added in the network.
\item One electronic scribling pad of A4 size(iBall TakeNote) added for general use.
\item 2 LCD projectors fixed in the lecture rooms.
\item New SMF batteries were added for four UPSs
\item 2 Multifunction printers installed in the HBNI cell and other Office works.
\end{enumerate}

\item Sofware facility:
\begin{enumerate}
\item Mathematica version 7 with 10 user network licenses added in the network
\item Matlab 2008b with 10 user network licenses and the additional 
Toolboxes of Image processing, Compiler, Optimization, Signal and SimBiology
added in the network.
\item Maple version 12 with 5 user network licenses newly added in the network.
\item Adobe Acrobat profession 9 S/W is installed the central place for general
use.
\end{enumerate}

\item Students are encouraged to use Institute laptops while attending conferences and workshops.
\item One Technical Assistant and one Administrative Assistant are appointed to handle 
the computer system facility under the Plan project.
\end{itemize}
%\end{document}
\vspace{-4.0mm}
\subsection{The Library}
\vspace{-2.0mm}

\noindent The Institute Library holds a total
collection of 61742 books and bound periodicals as on March 31,
2009. This includes an addition of 1267 volumes during the current
year April 2008 - March 2009. The library subscribes to around 300 national and international journals in the subject areas of Theoretical
Physics, Mathematics and Theoretical Computer Science including journals on exchange.  The library has a well balanced collection on these subject areas and is a resource for research workers of the entire southern region.

\noindent
The NBHM has recognized this Institute library
as the Regional Library for Mathematics.  An average of about 5000  outside users in a year from colleges, universities and research institutions from different parts of the country make use of the library facilities for their academic and research information needs.

\noindent The library has access to over 3000+ online journals from
major publishers such as Elsevier, American Mathematical
Society, American Physical Society, Springer Verlag, World
Scientific, Institute of Physics, Wiley, etc.

Library has also access to Nature online, Science Online, ACM Digital Library, SIAM Journals Archive, Duke Mathematical Journal, and JSTOR Full digital archive.  It has also perpetual online access to backfile collection of journals from Elesevier under DAE consortium and Annual Reviews Electronic Backvolume collection.  The library has added this year the Springer Online Collection Archive that provides perpetual access to journals in the areas of mathematics, physics and computer science and book series such as Lecture Notes in Mathematics, Physics and Computer Sciences from volume 1 till the year 1996. 

Access to online journals is restricted to members of the Institute.

\subsection*{Services}

Apart from developing the collection, the library
offers reprographic and inter library loan services.  Using Libsys
software, the library catalogue has been computerized and made
available online to the readers both within and outside the
Institute Campus. Online request for acquisition of books and
status of borrowings have also been enabled using Libsys. Library 
has implemented  RFID based system for self check-in and checkout of library materials. The library also provides effective 24x7 access to its resources with the help of RFID enabled access control system, perhaps the only library of this kind in the country.

Library has a website dedicated to host all the electronic information resources and to provide information about the library and its services. 

Library is a member of DAE Libraries Consortium that subscribes to SCIENCE DIRECT SERVICE of Elsevier.

Library is also coordinating the MathSciNet consortium which provides online access to MathSciNet for 8 participating institutions at a deeply discounted rate in the southern region. 

Library is an institutional member of AMS, MALIBNET, CURRENT SCIENCE Association, and IAPT.


\subsection{Hostel, Guest House, Recreation Facilities}

The students hostel can accommodate  34 students and currently operates
to full capacity. Currently, the Guest House has a total of 47 units of
rooms and apartments and also a dormitory with 10 beds. Some students
including married students, post-doctoral fellows and visitors are
accommodated in the guest house.

\newpage
%\section{Accounts}
\section{Audited Statement of Accounts for the year 2008-2009}
\end{document}