Major Project : Symplectic Topology

I’m currently working on my master’s thesis under the guidance of Dr. Shrihari Sridharan at IISER Thiruvananthapuram.

Minor Project : Synchronization in complex dynamical networks

This project utilizes the master stability function (MSF) methodology to analyze the synchronizability of coupled dynamical networks. MSF is the most elegant and powerful tool to characterize the stability of synchronization in coupled dynamical systems on the network. Specifically, in this project, we focused on a star network of $N$ coupled oscillators, namely Lorenz and Rössler oscillators. We investigated their MSFs analytically and numerically under different coupling schemes. We have also observed various patterns in $N$ coupled dynamical systems under the coupling between different variables of the systems.

Internship with Dr. Chandrakala Meena : Appearance of Chimera states in various networks

My work revolved around the paper Chimera states in Star Networks. Mainly, I tried reproduce the results in this paper. This helped me get a glimpse of what is happening in the field Spatio-temporal pattern formation in complex systems.

Internship with Dr. Santanu Sarkar and Dr. Chandra Chowdhary : Topological Descriptors in Data Analysis

I worked on a project to predict various properties of 2D materials. The computations of material properties using Density Functional Theory and other methods are computationally expensive. An alternative approach is use machine learning. But traditional GNNs have their theoretical limits. We tried to overcome this limit by using Topological Graph Layer along with Atomistic Line Graph Neural Networks.

Winter Internship with Dr. Aparna Lakshmanan : Graph Theory

We used R Balakrishnan and K Ranganathan’s book as a reference during the internship. We started from the basics and covered topics such as Directed Graphs, Connectivity, Trees, Independent Sets, Matchings, Eulerian Graphs, Hamiltonian Graphs, Graph Colouring’s and Planarity.

Summer internship 2022 with Dr. Shrihari Sridharan : Analysis and Fractal Geometry

During my internship, I studied real analysis and fractals geometry. I started by figuring out how to make real numbers from rational numbers using Dedekind cuts and Cauchy sequences. Then I learned about polynomial spaces. After that, I looked at different fractals like the Cantor set, Sierpinski triangle, and Koch curve. I asked whether they were compact, countable, or perfect sets.

Indian Institute of Science Education and Research Thiruvananthapuram

• BSMS Mathematics Major with Physics minor
  
• Graduation July 2025

Mahatma Gandhi Higher Secondary School Pala (2018 - 2020)

• Science Stream
• Marks 97.33%

St. Thomas Higher Secondary School Pala (2015 - 2018)

• GPA 10/10