Preprints/publications

• k-Diophantine m-tuples in finite fields (with Trajan Hammonds, Seoyoung Kim, Steven J. Miller, Arjun Nigam, Kyle Onghai and Dishant Saikia), 2022. (Preprint). (Journal). 

Expository material

• Notes on K-theory and regulators (in progress).

• Deligne's conjecture on special values of L-functions : Edited version of some notes from a lecture series, 2025. (PDF)

• Grassmannian - A whirlwind : This is a very short and elementary note about the Grassmannian, 2024. (PDF)

• Iwasawa theory and the cohomology of Tate twists (my master's thesis), 2024. (PDF).

Notes from reading projects

• l-adic cohomology and trace functions (Winter 2025-26)

  • • Week 1: Introduction to trace functions. (Notes).

    • Week 3 : Some properties of l-adic cohomology. (Notes).

    • Week 5 : Cancelled!

    • Week 6 : Lisse sheaves. (Notes). 

    • Week 7 : Purity and sums of trace functions. (Notes)