About Me
I am a Ph.D. candidate in Mathematics at the Purdue School of Science, Indianapolis (now Indiana University Indianapolis), advised by Prof. Evgeny Mukhin.
I love exploring mathematical ideas and sharing them with others. My curiosity is driven by two great fascinations: the physics of the universe, especially gravity and quantum mechanics, and the workings of the human mind, particularly through neural networks and deep learning. I hope that the mathematics I do can one day contribute to these fields.
Outside of academics, I love traveling and exploring new places. In my free time, I also enjoy playing chess, poker, ping pong and badminton.
Research Interests
My research interests include quantum algebras, representation theory, and integrable systems. As part of my Ph.D. work, I study intertwiners of representations of quantum affine algebras, which serve as solutions to the quantum Yang–Baxter equation. In the future, I aim to apply these intertwiners to the study of stochastic vertex models and the diagrammatic calculus of web categories.
Education
- Ph.D. in Mathematics, Purdue School of Science, Indianapolis, 2026
- M.S. in Mathematics, Indian Institute of Technology, Delhi, 2020
- M.Tech. in Information and Communication Technology, Indian Institute of Technology, Delhi, 2015
- B.Tech. in Electrical Engineering, Indian Institute of Technology, Delhi, 2015