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IMSc Theses/ Dissertations: Recent submissions

  • Equality of Elementary orbits and Elementay symplectic orbits [HBNI Th24] 
    Pratyusha Chattopadhyay (The Institute of Mathematical Sciences, 2010)
    The aim of this thesis is to show a bijection between the orbit spaces of unimodular rows under the action of the elementary linear group and the orbit spaces of unimodular rows under the action of the elementary symplectic ...
  • Some Aspects of the Phenomenology of B Mesons [HBNI Th23] 
    Basudha Misra (The Institute of Mathematical Sciences, 2010)
    The variation of the measured (B^0 d − ((B^0)bar) d) mixing phase β/φ1 in b → cc(bar)s and b → sq(bar)q (where q = u, d, s) modes is regarded as a possible probe of New Physics. It has been speculated that this discrepancy ...
  • Parameterizing from the extremes: Feasible parameterizations of some NP-Optimization problems [HBNI Th22] 
    Somnath Sikdar (The Institute of Mathematical Sciences, 2010)
    Parameterized complexity is a newly developed sub-area of computational complexity that allows for a more refined analysis of problems that are considered hard in the classical sense. In contrast to the classical theory ...
  • BKM Lie Superalgebras in N=4 Supersymmetric String Theory[HBNI Th20] 
    Gopala Krishna, K. (The Institute of Mathematical Sciences, 2010)
    This thesis studies the problem of counting dyons in certain supersymmetric string theory models and the infinite dimensional Lie algebras that underlie the dyonic degeneracies. The counting of 1/4 BPS states in N = 4 ...
  • A Logical Study of Strategies in Games [HBNI Th15] 
    Simon, Sunil Easaw (The Institute of Mathematical Sciences, 2010)
    The Main theme of this thesis is reasoning about strategies in games in logical framework. Logical analyses of games typically consider players' strategies as atomic objects and the reasoning is about existence of strategies ...
  • Representations and conjugacy classes of general linear groups over principal ideal local rings of length two[HBNI Th21] 
    Pooja Singla (The Institute of Mathematical Sciences, 2010)
    The irreducible complex representations and conjugacy classes of general linear groups over principal ideal local rings of length two with a fixed finite residue field is studied in this thesis. A canonical correspondence ...
  • Some complexity theoretic aspects of graph isomorphism and related problems[HBNI Th19] 
    Das, Bireswar (The Institute of Mathematical Sciences, 2010)
    The complexity of graph isomorphism problem for restricted classes of graphs are studied and the complexity of group theoretic problems related graph isomorphism are investigated. Several problems closely related to the ...
  • Statistical Mechanics of pressurized two-dimensional polymer rings[HBNI Th18] 
    Mitra, Mithun Kumar (The Institute of Mathematical Sciences, 2010)
    This thesis studies the statistical mechanics of pressurized ring polymers. These can be thought of as a simple low-dimensional models for the understanding of vesicle shapes and phase transitions, a classic problem first ...
  • A Study of Width Bounded Arithmetic Circuits and the Complexity of Matroid Isomorphism [HBNI Th17] 
    Raghavendra Rao, B. V. (The Institute of Mathematical Sciences, 2010)
    This thesis is broadly divided into two parts: i) Study of width bounded arithmetic circuits, and ii) Computational complexity of matroid isomorphism problems. Various arithmetizations of boolean complexity class NC1 is ...
  • 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 ...

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