Seminars and Reading Projects

During my Bachelor's and my Master's, I was fortunate enough to do projects and seminars with some wonderful professors. Here are some of the projects I did.

Reading Seminar in Probability and Geometric Group Theory (July-December 2019, Indian Statistical Institute, Bangalore)

Supervisor : Dr. Yogeshwaran D

The plan was to give a series of seminars with other students in the broad areas of Probability and Geometric Group Theory. In my seminars I covered Random Walks, Electrical Networks and Kesten's Theorem on amenability.

Website 

Reading Project in Probability (May-June 2019, Indian Statistical Institute, Bangalore)

Supervisor : Dr. B. Rajeev

I undertook this project following the final year of my Bachelor's. In the course of this project, I studied topics such as Convergence of measures on Polish spaces, Martingale convergence theorems and Brownian Motion. Using the results learnt in these areas, I read a proof of Donsker's theorem on Brownian Motion being the scaling limit of random walks. The primary resource was Klenke's 'Probability Theory - A comprehensive course'. 

Reading Project in Commutative Algebra (May-June 2017, CEBS, Mumbai)

Supervisor : Dr. Balwant Singh

This project was done in the summer after the first year of my Bachelor's. I studied topics in Commutative Algebra such as Tensor Products, Noetherian Rings and Modules, Primary Decomposition, Integral Domains. The primary resources were the book by Atiyah & McDonald and the book Basic Commutative Algebra  by Prof. Balwant Singh.