Sahil(The Institute of Mathematical Sciences, 2025)
In this thesis, we focus on two well-connected topics: quantum measurement and quan-
tum uncertainty relation. The first topic is the well-known “pre- and postselected mea-
surements”. Aharonov, Bergmann, and Lebowitz ...
Ratheesh T V(The Institute of Mathematical Sciences, 2025)
This thesis is structured into two distinct parts. The first part addresses two special cases of a conjecture proposed by Ayyer, Mandelshtam, and Martin concerning a bijection between two different combinatorial models for ...
Dhananjaya Sahu(The Institute of Mathematical Sciences, )
In this thesis, we investigate holomorphy and special values of Artin L-functions.
Let K/F be a Galois extension of number fields with Galois group G. Artin conjectured that Artin L-functions associated to non-trivial ...
Subashri V(The Institute of Mathematical Sciences, 2024)
To summarize, we developed a biased Monte Carlo algorithm to compute probabili- ties of rare events in irreversible cluster-cluster aggregation for an arbitrary collision kernel. In particular, the algorithm measures P (M, ...
Manas Mandal(Institute of Mathematical Sciences, 2024)
A Dold manifold is defined as the quotient space Sm × CP n /∼, where (s, L) ∼ (−s, L̄). These manifolds were first introduced by Albrecht Dold in 1956 to construct generators in odd dimensions for Thom’s unoriented cobordism ...
Ajaya Kumar Sahoo(Institute of Mathematical Sciences, 2024)
Humans and ecosystems are frequently exposed to myriad of chemicals, including those found in consumer products, industrial pollutants, and pesticides, which collectively con- stitute the chemical exposome. These chemicals ...
Sahil(The Institute of Mathematical Sciences, 2025)
In this thesis, we focus on two well-connected topics: quantum measurement and quan-
tum uncertainty relation. The first topic is the well-known “pre- and postselected mea-
surements”. Aharonov, Bergmann, and Lebowitz ...
Ratheesh T V(The Institute of Mathematical Sciences, 2025)
This thesis is structured into two distinct parts. The first part addresses two special cases of a conjecture proposed by Ayyer, Mandelshtam, and Martin concerning a bijection between two different combinatorial models for ...
Dhananjaya Sahu(The Institute of Mathematical Sciences, )
In this thesis, we investigate holomorphy and special values of Artin L-functions.
Let K/F be a Galois extension of number fields with Galois group G. Artin conjectured that Artin L-functions associated to non-trivial ...
Subashri V(The Institute of Mathematical Sciences, 2024)
To summarize, we developed a biased Monte Carlo algorithm to compute probabili- ties of rare events in irreversible cluster-cluster aggregation for an arbitrary collision kernel. In particular, the algorithm measures P (M, ...
Manas Mandal(Institute of Mathematical Sciences, 2024)
A Dold manifold is defined as the quotient space Sm × CP n /∼, where (s, L) ∼ (−s, L̄). These manifolds were first introduced by Albrecht Dold in 1956 to construct generators in odd dimensions for Thom’s unoriented cobordism ...
Ajaya Kumar Sahoo(Institute of Mathematical Sciences, 2024)
Humans and ecosystems are frequently exposed to myriad of chemicals, including those found in consumer products, industrial pollutants, and pesticides, which collectively con- stitute the chemical exposome. These chemicals ...
Piyasa Sarkar(The Institute of Mathematical Sciences, 2024)
An E 0 -semigroup is a semigroup of normal, unital §-endomorphisms of B(H ), where
H is an infinite-dimensional separable Hilbert space. Though initially considered
only in the one-parameter context, multiparameter E 0 ...
Siddheswar Kundu(The Institute of Mathematical Sciences, 2024)
This thesis is divided into two parts. The first part includes the Demazure crystal structure for flagged reverse plane partitions and flagged skew semi-standard tableaux. The second part addresses the saturation property ...
Pavan Dharanipragada(The Institute of Mathematical Sciences, 2024)
The renormalisation group is a powerful set of ideas that relate physical theories at different length scales. The Polchinski’s exact renormalisation group (ERG) equation is a differential equation that enables us to perform ...
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 ...