Research & Publications

Research Interests

•  Delta geometry 

•  p-adic Hodge theory 

•  Diophantine geometry

•  Arithmetic of function fields

• Emerging interests:  Zilber-Pink conjectures using p-adic methods, Prismatic cohomology.

Publications

1. Delta characters and crystalline cohomology (with Arnab Saha), Cambridge Journal of Mathematics, 2025. (Doi link) 

2. Delta Theory of Anderson Modules I: Differential Characters (with Arnab Saha), Israel Journal of Mathematics, 2025. (Doi link)

3. On de Rham Cohomology of Drinfeld Modules of Rank 2 (with Arnab Saha), International Journal of Number Theory, 2025. (Doi link)

4. Numerical Semigroups with unique Apéry expansions (with Joydip Saha and Indranath Sengupta), Journal of Algebra and Its Applications, 2023. (Doi link)

Submitted/ Preprints

1. A Buium--Coleman bound for the Mordell--Lang conjecture (with Netan Dogra), submitted.

2. Delta characters and Filtered Isocrystals (with Lance Gurney and Arnab Saha), submitted. 

3. Delta Theory of Anderson Modules II: Galois Representations (with Arnab Saha), preprint.

4. Delta isocrystal and crystalline cohomology of abelian schemes, preprint.

• Here is the link to my thesis.