projects

1. Local Dynamics Around Attracting Fixed Points of Meromorphic Maps
   (REU) lodha genius program, 2025, ashoka university
   may 2025 - june 2025
   read it here

   This was a reading/expository project on holomorphic dynamics, under the guidance of Dr. Niladri Patra. I did this project with anwesha and we wrote an expository article on it.

   The paper surveys the local behaviour of meromorphic maps of the Riemann sphere in the neighbourhood of attracting fixed points. After recalling fundamental complex-analytic tools (holomorphicity, normal families, Montel's theorem, Riemann-Hurwitz), it introduces the Fatou and Julia sets, along with stating some properties and their proofs. The article focuses on attracting periodic orbits and explores important results of the same from Koenigs Linearisation and its global extension to studying the behaviour of critical points.

2. The Generalised Stokes Theorem and Calculus on Manifolds
   (REU) lodha genius program, 2024, ashoka university
   may 2024 - june 2024

   This was an expository article i wrote after reading about calculus on manifolds. It is available to read here

   This paper is an exposition of the Generalized Stokes Theorem and covers topics of calculus on manifolds. The paper starts at the ground by defining manifolds and extending ideas of smoothness, boundaries, and orientation to them. It introduces multilinear functions and their algebra, followed by differential forms, as an application of exterior algebra in manifolds. This section starts building the multilinear structures on Euclidean spaces and follows through to manifolds. Further, it covers how ideas of integration are extended to manifolds, finally reaching the generalized Stokes theorem. The final section is a revisit to classical theorems in vector calculus, and how they can be derived from the generalized Stokes theorem.

3. Project Title
   January 1, 2023

   This is a brief description of the project. It explains the purpose and details.

work

1. Summer Intern
   Safexpress Center for Data, Learning, and Descision Sciences, Ashoka University
   May 2025 - Aug 2025

   ◦ Working on a Machine learning, Data Analysis and Satellite image analysis project under Professor Anustubh Agnihotri.

2. Teaching Assistant
   CS-1102: Introduction to Computer Science, Ashoka University
   Jan 2025 - May 2025

   ◦ Assisting in teaching first and second year students in the Introduction to Computer Science course taken by Professor Debayan Gupta and Aalok Thakkar.
   ◦ Conducted discussion sessions, labs, and office hours; prepared and graded assignments and exams.

3. Teaching Assistant
   Lodha Genius Program, Ashoka University
   May 2024, May 2025

   ◦ In May 2024, assisted in teaching the Geometry course in the Lodha Genius Program (LGP) under Professor Sneha Chaubey; conducted discussion sessions and office hours, prepared and graded assignments and exams.
   ◦ In May 2025, assisted in teaching the Number Theory course in the Lodha Genius Program (LGP) under Professor Shanta Laishram.