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IMSc Theses/ Dissertations: Recent submissions

  • Exploring LogCFL using language theory[HBNI Th13] 
    Limaye, Nutan (The Institute of Mathematical Sciences, 2010)
    The Complexity classes contained in LogCFL is explored in this thesis by drawing connections to Language theory. Many depth reduction techniques involved in this process are studied along the way. The two factor-2 ...
  • Degrees of Maps between complex Grassmann Manifolds[HBNI Th16] 
    Swagata Sarkar (The Institute of Mathematical Sciences, 2010)
    Let f:Gn,k --> Gm,l be any continuous map between to distinct complex ( resp. quaternionic )Grassmann manifolds of the same dimension. It is shown that the degree of f is zero provided n, m are sufficiently large and ...
  • Acyclic, k-intersection edge colourings and oriented colouring [HBNI Th14] 
    Narayanan, N. (The Institute of Mathematical Sciences, 2010)
    Three graph colouring problems are studied in this thesis with the main focus on 'acyclic edge colouring problem'. The first part of this thesis deals with some classes of graphs and improved upper bounds are obtained. ...
  • Angular analysis of a B decaying into tensor, vector and scalar modes 
    Chandradew Sharma (, 2009-12-15)
    This thesis studies the decays B ---> J/{\`Psi}T, B ---> J /{`Psi}V and B ---> J /{`Psi}S, where T, V and S are tensor (J^P = 2^+), vector (J^P = 1^-) and scalar (J^P = 0^+) mesons respectively. The Present study is ...
  • Modularity and Hierarchy in complex systems: Relating network structure to dynamics [HBNI Th11] 
    Raj Kumar Pan (The Institute of Mathematical Sciences, 2009)
    Complex systems, whether integrated circuits, food webs, transportation networks, social systems, or the biochemical interactome of a living cell, all behave in ways that cannot be fully explained by analyzing their ...
  • On some problems in Additive number theory 
    Gyan Prakash (, 2009-11-04)
    This thesis discusses some problems relating the properties of a set A and those of A+A, when A is a subset of an abelian group. Given a finite abelian group G and A is a subset of G, it is said that A is sum-free if the ...
  • A Theorem of Cowsik and Nori 
    Surya Ramana, D. (, 2009-11-02)
    This thesis is an expository account of a proof of the theorem of R.C.Cowsik and M.V. Nori (1978), which asserts that every algebraic curve in an affine space over a field of positive characteristic is a set theoretic ...
  • Proton Decay in higher dimensions 
    Turbasu Biswas (2009-10-27)
    Proton decay is used as a guiding principle for the search of a Grand unified theory. As a starting point minimal nonsupersymmetric SU(5) model is taken as it is the simplest possible grand unified model. Then modifications ...
  • Spontaneous Chiral Symmetry breaking (SCSB) in quark confinement 
    Alok Kumar (, 2009-10-23)
    The non-perturbative aspects of QCD, the gauge theory of strong interactions are studied. The phenomenon of confinement of quarks and the dynamical chiral symmetry breaking are examined. The phenomenological linear ...
  • A Microscopic model for Microtubules 
    Mithun Kumar Mitra (2009-10-19)
    The controlled polymerization and depolymerization of biological macromolecules, such as Microtubules plays an important role in the process of force generating mechanisms in living cells. There has been much activity in ...
  • A Comparative study of string theory and loop quantum gravity in cosmological context 
    Kinjal Banerjee (, 2009-10-07)
    As per this study a possible comparison between String Theory and Loop Quantum Gravity is conceivable only at perturbative level in the large volume(in Planck units) limit. The simplest context of homogeneous isotropic ...
  • Aspects of high energy scattering in Abelian and non Abelian Gauge theories 
    Tapobrata Sarkar (, 2009-10-06)
    This thesis reviews certain aspects of high energy scattering in abelian and non abelian gauge theories. This subject has been extensively studied over the last few decades, using perturbative techniques. Recently it has ...
  • Scalar-Tensor Theory for gravity in D Dimensions 
    Arjun Bagchi (, 2009-10-05)
    The general theory of Relativity and the scalar-Tensor theory are studied in general D dimensions stressing on Cosmology and the static spherically Schwarzchild solution. General Relativity is dealt with in Brief. Different ...
  • On Polynomial Identity Testing and Related Problems[HBNI Th12] 
    Partha Mukhopadhyay (The Institute of Mathematical Sciences, 2009)
    The polynomial identity Testing problem and its connection to several other important complexity theoretic problems are studied in this thesis. Polynomial identity testing problem is considered over commutative and non ...
  • Parameterized field theories and Loop Quantization[HBNI Th10] 
    Alok Laddha (The Institute of Mathematical Sciences, 2009)
    This thesis shows how two dimensional parametrized field theories constitute perfect toy models for Loop Quantum Gravity. Two dimensional massless scalar field theories on a Minkowskian plane and show how various aspects ...
  • Modelling Biological clocks: a study of the Repressilator 
    Somdeb Ghosh (The Institute of Mathematical Sciences, 2009-09-29)
    Biological clocks are found everywhere in the natural world. From circadian rhythms to pacemakers of the heart, biological clocks are an essential part of the smooth functioning of living organisms. They are composed of ...
  • Geometry of Quantum States 
    Sandeep, K. Goyal (, 2009-09-25)
    Understanding the geometry of state space is of fundamental interest in the field of quantum information, in particular to study entanglement. The states of a d-dimensional system form a convex set in the d^2 - 1 dimensional ...
  • Brusselator as a Reaction-Diffusion system 
    Rajeev Singh (, 2009-09-24)
    In this work the Brusselator model is studied, which is a minimal mathematical model, for chemical oscillations. The mean field analysis for the model and the traditional way of adding the effect of diffusion is reviewed. ...
  • Cosmological Perturbation Theory 
    Sabapathy, KrishnaKumar (2009-09-24)
    This study is a review of Cosmological perturbation theory. The theory aims to model the physical universe by perturbing about a background Friedmann-Robertson-Walker cosmological model. Two approaches are highlighted, ...
  • Complexity upper bounds using permutation group theory 
    Kurur, Piyush P. (2009-09-23)
    This thesis studies the Graph Isomorphism and problems that arise in Galois theory. It is targeted to use structural properties of permutation groups together with other algebraic techniques to prove complexity upper ...

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