Amritapuri
Ph.D. program in Mathematics aims to develop expertise in a specific mathematical area, fostering critical thinking, problem-solving skills, and the ability to contribute new knowledge to the field. Mathematics encompasses diverse areas, each with its own unique focus and application. Some broad categories are Stochastic Modelling and Analysis, Semi-group Theory, Number Theory, Machine and Deep learning, Graph Theory and Combinatorics, Inverse problems, ill-posed problems, and numerical analysis, Metric Fixed Point Theory, Genome Rearrangement Problems, Physics informed Neural Networks, Wavelet Analysis.
The main research interest is stochastic modelling and analysis with special reference to Queues, Queueing inventory systems, Reliability systems, Reliability Inventory Systems and Operations Research. In the Semigroups that arise in the context of transformations or mappings, the set is the domain of the transformations. Number theory has applications in various areas of mathematics and beyond, including computer science, cryptography, and physics.