Browsing Division of Physical and Mathematical Sciences by Title
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Applications of Holography
This thesis consists of four parts. In the first part of the thesis, we investigate the phase structure of EinsteinMaxwellScalar system with a negative cosmological constant. For the conformally coupled scalar, an ... 
Applications of Moonshine Symmetry in String Theory
In this thesis we study the applications of Mathieu moonshine symmetry to compacti cations of supersymmetric string theories. These theories are compacti ed on a 6 dimensional manifold K3 T2. The main ingredient in ... 
Aspects of conformal field theories at finite temperature
In this thesis we have studied broadly two aspects of thermal field theory. We began by examining how the macroscopic system (described by relativistic hydrodynamics) behalves in presence of microscopic anomalies. We ... 
Aspects of Heavy Supersymmetry
The recent discovery of a Higgs boson with a mass around 125 GeV, taken together with experimental results from flavor factories, dark matter direct detection, and searches for SUSY particles in the LHC suggest that ... 
Aspects of Higher Spin Theories Conformal Field Theories and Holography
(20180530)This dissertation consist of three parts. The first part of the thesis is devoted to the study of gravity and higher spin gauge theories in 2+1 dimensions. We construct cosmological solutions of higher spin gravity in 2+1 ... 
Aspects of time dependence in quantum quenches
In this thesis we study the time dependence of correlators such as Green function, entanglement (Renyi) entropy and mutual information following quantum quench in Conformal Field Theories (CFTs) and their holographic duals ... 
Asymptotic Lower Bound for Quasi Transitive Codes over Cubic Finite Fields
(20180714)Algebraic geometric codes were first introduced by V.D.Goppa . They were well recognized and developed by Tsfasman, Vladut and Zink because they have parameters better than GilbertVarshmov bound and thus giving rise to ... 
Automation of Microscopic Tests for Cytodiagnostics Using Custombuilt Slide Scanner
(20171011)Optical microscopy is the simplest and the gold standard method adopted for the screening and subsequent diagnosis of various hematological and infectious diseases like malaria, sickle cell disease, tuberculosis etc. In ... 
Axially Symmetric Equivalents Of ThreeDimensional Rf Ion Traps
(20130913)This thesis presents axially symmetric equivalents of threedimensional rf ion traps. Miniaturization in mass spectrometry has focused on miniaturizing mass analyzers. Decrease in mass analyzer size facilitates reduction ... 
A Bayesian Approach To Positron Emission Tomography
(20111122) 
Betti Numbers, Grobner Basis And Syzygies For Certain Affine Monomial Curves
(Indian Institute of Science, 20070330)Let e > 3 and mo,... ,me_i be positive integers with gcd(m0,... ,me_i) = 1, which form an almost arithmetic sequence, i.e., some e  1 of these form an arithmetic progression. We further assume that m0,... ,mc_1 generate ... 
BorsukUlam Theorem And Its Equivalent Formulations
(20110928) 
Bounded Analytic Functions On The Unit Disc
(20110809)In this thesis, we have dealt primarily with two function algebras. The first one is the space of all holomorphic functions on the unit disc D in the complex plane which are continuous up to the boundary, denoted by A(D). ... 
CahnHilliardNavierStokes Investigations of BinaryFluid Turbulence and Droplet Dynamics
(20171210)The study of finitesized, deformable droplets adverted by turbulent flows is an active area of research. It spans many streams of sciences and engineering, which include chemical engineering, fluid mechanics, statistical ... 
The CaratheodoryFejer Interpolation Problems and the VonNeumann inequality
(20180530)The validity of the vonNeumann inequality for commuting $n$  tuples of $3\times 3$ matrices remains open for $n\geq 3$. We give a partial answer to this question, which is used to obtain a necessary condition for the ... 
Carrier Mobility And High Field Transport in Modulation Doped pType Ge/Si1xGex And nType Si/Si1xGex Heterostructures
(Indian Institute of Science, 20070626)Modulation doped heterostructures have revolutionized the operation of field effect devices by increasing the speed of operation. One of the factors that affects the speed of operation of these devices is the mobility of ... 
Central and Peripheral Correlates of Motor Planning
(20180211)A hallmark of human behaviour is that we can either couple or decouple our thoughts, decision and motor plans from actions. Previous studies have reported evidence of gating of information between intention and action that ... 
Characterization of Brain Signals Across Scales Using Temporally Modulated Visual Stimuli
Electrical signals from the brain can be recorded at several different scales, ranging from spiking activity to local field potential (LFP) in animals to scalp electroencephalogram (EEG) in humans. Each signal represents ...