Subbaroyan Ajay(The Institute of Mathematical Sciences, 2024)
Cells make decisions based on underlying gene regulatory networks (GRNs). GRNs may be modeled as a Boolean network (BN) in which nodes and directed edges represent genes or proteins and their interactions respectively. In ...
Yogesh Dahiya(The Institute of Mathematical Sciences, 2024)
A central goal of computer science is to understand the capabilities and limitations
of various computational devices. To understand various computational devices
we formalize them using mathematical models called "models ...
Farhina Mozaffer(The Institute of Mathematical Sciences, 2023)
Infectious disease are transmitted by pathogens such as bacteria, viruses and parasites. This
thesis describes modeling work on two different diseases: COVID-19 and Malaria. The first wave of
COVID-19 reached India at ...
V Sathish Kumar(The Institute of Mathematical Sciences, 2024)
1. Let A n⇥n be a symmetrizable generalized Cartan matrix (GCM) and let g be the associated symmetrizable Kac-Moody Lie algebra with a fixed Cartan subalgebra h. Parabolic Verma modules are highest weight modules for g ...
Nishant Gupta(The Institute of Mathematical Sciences, 2024)
This thesis explores the derivation of chiral current algebras from different gravita-
tional theories, including R1,3 gravity, AdS4 gravity, and 3d conformal gravity. We
propose chiral boundary conditions consistent ...
Aritra Bhattacharya(The Institute of Mathematical Sciences, 2024)
This thesis is divided in two parts. The rst part is about a conjecture of J.
Haglund on expansion of the (normalized) integral form Macdonald symmetric
functions in terms of the Schur basis. The second part of the thesis ...
Rashi Sanjay Lunia(The Institute of Mathematical Sciences, 2024)
The central theme of this thesis is to study some analytic and arithmetic properties
of values of L-functions at “special points”. The values of L-functions encode a lot
of arithmetic data and are at the heart of several ...
Surabhi Tiwari(The Institute of Mathematical Sciences, 2022)
This thesis contains works mainly on soft-virtual approximation to inclusive and differ-
ential observables for various Sudakov-type processes at the hadron colliders.
Threshold resummation for a generic n-colorless final ...
Subbaroyan Ajay(The Institute of Mathematical Sciences, 2024)
Cells make decisions based on underlying gene regulatory networks (GRNs). GRNs may be modeled as a Boolean network (BN) in which nodes and directed edges represent genes or proteins and their interactions respectively. In ...
Farhina Mozaffer(The Institute of Mathematical Sciences, 2023)
Infectious disease are transmitted by pathogens such as bacteria, viruses and parasites. This
thesis describes modeling work on two different diseases: COVID-19 and Malaria. The first wave of
COVID-19 reached India at ...
Yogesh Dahiya(The Institute of Mathematical Sciences, 2024)
A central goal of computer science is to understand the capabilities and limitations
of various computational devices. To understand various computational devices
we formalize them using mathematical models called "models ...
V Sathish Kumar(The Institute of Mathematical Sciences, 2024)
1. Let A n⇥n be a symmetrizable generalized Cartan matrix (GCM) and let g be the associated symmetrizable Kac-Moody Lie algebra with a fixed Cartan subalgebra h. Parabolic Verma modules are highest weight modules for g ...
Nishant Gupta(The Institute of Mathematical Sciences, 2024)
This thesis explores the derivation of chiral current algebras from different gravita-
tional theories, including R1,3 gravity, AdS4 gravity, and 3d conformal gravity. We
propose chiral boundary conditions consistent ...
Aritra Bhattacharya(The Institute of Mathematical Sciences, 2024)
This thesis is divided in two parts. The rst part is about a conjecture of J.
Haglund on expansion of the (normalized) integral form Macdonald symmetric
functions in terms of the Schur basis. The second part of the thesis ...
Rashi Sanjay Lunia(The Institute of Mathematical Sciences, 2024)
The central theme of this thesis is to study some analytic and arithmetic properties
of values of L-functions at “special points”. The values of L-functions encode a lot
of arithmetic data and are at the heart of several ...
Surabhi Tiwari(The Institute of Mathematical Sciences, 2022)
This thesis contains works mainly on soft-virtual approximation to inclusive and differ-
ential observables for various Sudakov-type processes at the hadron colliders.
Threshold resummation for a generic n-colorless final ...
Raghvendra Singh(The Institute of Mathematical Sciences, 2023)
In this thesis, we focused on studying how the background structure of spacetime a↵ects
quantum phenomena at micro and macroscopic levels [2, 11]. We also studied the possi-
bility that spacetime might be Euclidean at ...
Ramit Das(The Institute of Mathematical Sciences, 2023)
This work is about analysing reasoning about games - specially the social network
games, polymatrix games, priority separable games and large games. Towards the
reasoning we employ di↵erent logics - namely the least fixed ...
Prateek Chawla(The Institute of Mathematical Sciences, 2023)
Quantum walks are the quantum generalization of classical random walks, and form a
powerful yet versatile toolkit for the development of quantum algorithms for quantum
simulation and quantum computing applications. One ...
Toshali Mitra(The Institute of Mathematical Sciences, 2023)
The existence of hydrodynamic attractors in various microscopic theories and phenomenological models has paved the way for understanding hydrodynamization in out-of-equilibrium systems. The thesis studies a far-away-from ...
Akhil Antony(The Institute of Mathematical Sciences, 2023)
Acoustic peaks in the Cosmic Microwave Background (CMB) temperature spectrum as observed by the Planck satellite appear to be smoother than our expectation from the standard model lensing effect. This anomalous effect can ...
Sunil L Naik(The Institute of Mathematical Sciences, 2023)
The focal point of our thesis is to study prime divisors of non-zero Fourier coefficients of Hecke eigenforms. Let f be a non-CM normalized Hecke eigenform and for any natural number n, let a f (n) be its n-th Fourier ...