In this thesis, we delve into the theory of cores of partitions and tackle two main problems: the enumeration of t-cores and t-bar cores, and the computation of McKay numbers for the symmetric and alternating groups. For ...

Amyotrophic Lateral Sclerosis (ALS) is a fatal, motor neurodegenerative disease affecting thousands of people every year worldwide. ~50% of the ALS cases patients display behavioural changes, cognitive and executive ...

Security is of paramount importance in today’s world. Public places such as shopping malls, banks, ATMs, city squares, and parks are increasingly equipped with CCTV cameras. These cameras aid in monitoring these spaces and ...

Double-stranded RNA-binding domains (dsRBDs) target topologically distinct dsRNAs in a variety of biological pathways that are central to viral replication, cancer causation, neurodegeneration, etc. TRBP is one of the ...

Primordial Black Holes (PBHs) are one of the viable dark matter candidate that comprises some or all of its density in different mass regions. In this context, various constraints suggest that they could entirely comprise ...

Over the last century, the vapor compression and expansion cycle has been the most widely used technique for refrigeration and other cooling applications. This technique uses gases like chlorofluorocarbons and hydrofluorocarbons ...

Conformal invariance completely fixes the form of 2- and 3-point functions in a conformal field theory (CFT). However, this does not extend to higher point functions where the correlator is only determined up to arbitrary ...

The elaborate acoustic signals of animals consist of multiple components or modules. These modules typically follow complex temporal arrangements, referred to as syntactic structure. Syntax of a vocal sequence can convey ...

In this thesis, an epidemic modelling problem at an individual level is studied. The Individual-Based model, which is the discretised version of the SIR compartmental model on a network, is used to study the problem. The ...

This thesis explores the effects and origins of a ‘noise with memory’ in the dynamics of an open quantum system. The system considered here is a multi-qubit register performing the Grover’s quantum search algorithm. We ...