Tanmay Saha(The Institute of Mathematical Sciences, 2025)
The industrial revolution catalyzed the development of classical thermodynamics, emerg-
ing from the furnaces of mines and factories. Subsequently, statistical mechanics refined
and shaped its principles. At the dawn of ...
Mamale Vinod Suryakant(The Institute of Mathematical Sciences, 2025)
This thesis consists of three parts. In first, we will examine the validity of the geodesic
rule, a key postulate of the Kibble-Zurek mechanism, which describes topological defect
formation during second-order phase ...
Amit Kumar(The Institute of Mathematical Sciences, 2025)
This thesis addresses the fundamental problem of shock propagation in both homogeneous and inhomogeneous media, with a focus on scenarios initiated by either intense explosions or continuous energy input. Classical ...
Tanmoy Sengupta(The Institute of Mathematical Sciences, 2025)
A conformal field theory (CFT) possessing the Virasoro algebra as its local symmetry algebra is endowed with an infinite set of mutually commuting local integrals of motion, commonly referred to as quantum Korteweg-de Vries ...
Hitesh Garg(The Institute of Mathematical Sciences, 2025)
Macromolecules or polymers are generally found in crowded environments. The interior of a cell contains a high concentration of macromolecules, typically constituting 20–30% of the total cell volume. Crowders play a crucial ...
Adarsh Sudhakar(The Institute of Mathematical Sciences, 2025)
Symmetries play an important role in modern physics by providing a basis for many con-
servation laws and enabling the classification of elementary particles. Typically, gravita-
tional systems do not possess any global ...
Amit Suthar(The Institute of Mathematical Sciences, 2025)
In this thesis, we investigate the amplitudes of gauge theories in two different contexts
using the on-shell methods and positive geometry. We study the amplitudes and so-called
on-shell functions for the Coulomb branch ...
Samim Akhtar(The Institute of Mathematical Sciences, 2024)
The advent of gravitational-wave astronomy, marked by the LIGO–VIRGO–KAGRA (LVK) collaboration’s detection of neutron star mergers and binary black holes, has revitalized efforts to address the relativistic two-body problem ...
P Rakesh Kumar Dora(The Institute of Mathematical Sciences, 2025)
Two-dimensional electron systems (2DESs) in strong magnetic fields host a rich variety of interacting ground states, including the celebrated fractional quantum Hall effect (FQHE), Wigner crystals (WC), and bubble and ...
Tanmay Saha(The Institute of Mathematical Sciences, 2025)
The industrial revolution catalyzed the development of classical thermodynamics, emerg-
ing from the furnaces of mines and factories. Subsequently, statistical mechanics refined
and shaped its principles. At the dawn of ...
Mamale Vinod Suryakant(The Institute of Mathematical Sciences, 2025)
This thesis consists of three parts. In first, we will examine the validity of the geodesic
rule, a key postulate of the Kibble-Zurek mechanism, which describes topological defect
formation during second-order phase ...
Amit Kumar(The Institute of Mathematical Sciences, 2025)
This thesis addresses the fundamental problem of shock propagation in both homogeneous and inhomogeneous media, with a focus on scenarios initiated by either intense explosions or continuous energy input. Classical ...
Tanmoy Sengupta(The Institute of Mathematical Sciences, 2025)
A conformal field theory (CFT) possessing the Virasoro algebra as its local symmetry algebra is endowed with an infinite set of mutually commuting local integrals of motion, commonly referred to as quantum Korteweg-de Vries ...
Hitesh Garg(The Institute of Mathematical Sciences, 2025)
Macromolecules or polymers are generally found in crowded environments. The interior of a cell contains a high concentration of macromolecules, typically constituting 20–30% of the total cell volume. Crowders play a crucial ...
Adarsh Sudhakar(The Institute of Mathematical Sciences, 2025)
Symmetries play an important role in modern physics by providing a basis for many con-
servation laws and enabling the classification of elementary particles. Typically, gravita-
tional systems do not possess any global ...
Amit Suthar(The Institute of Mathematical Sciences, 2025)
In this thesis, we investigate the amplitudes of gauge theories in two different contexts
using the on-shell methods and positive geometry. We study the amplitudes and so-called
on-shell functions for the Coulomb branch ...
Samim Akhtar(The Institute of Mathematical Sciences, 2024)
The advent of gravitational-wave astronomy, marked by the LIGO–VIRGO–KAGRA (LVK) collaboration’s detection of neutron star mergers and binary black holes, has revitalized efforts to address the relativistic two-body problem ...
P Rakesh Kumar Dora(The Institute of Mathematical Sciences, 2025)
Two-dimensional electron systems (2DESs) in strong magnetic fields host a rich variety of interacting ground states, including the celebrated fractional quantum Hall effect (FQHE), Wigner crystals (WC), and bubble and ...
Himanshu Badhani(The Institute of Mathematical Sciences, 2024)
This work presents a consistent method for defining subsystems on a Hilbert space whose underlying vector space admits a tensor-product decomposition, while the Hilbert space itself lacks such a decomposition due to its ...
Namitha C H(The Institute of Mathematical Sciences, 2025)
The content of this thesis comes from the study of product systems over closed convex
cones. Product systems arise in the study of E0 - semigroups. An E0 -semigroup is a σ-
weakly continuous semigroup of normal, unital ...
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, 2024)
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 ...