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.
Submitted/ Preprints
A Buium--Coleman bound for the Zilber--Pink conjecture for curves inside abelian varieties (with Netan Dogra), preprint.
Delta isocrystal and crystalline cohomology of abelian schemes, preprint.
A Buium--Coleman bound for the Mordell--Lang conjecture (with Netan Dogra), submitted.
Delta characters and Filtered Isocrystals (with Lance Gurney and Arnab Saha), submitted.
Delta Theory of Anderson Modules II: Hodge--Pink structures (with Arnab Saha), preprint.
Published
Delta characters and crystalline cohomology (with Arnab Saha), Cambridge Journal of Mathematics, 2025. (Doi link)
Delta Theory of Anderson Modules I: Differential Characters (with Arnab Saha), Israel Journal of Mathematics, 2025. (Doi link)
On de Rham Cohomology of Drinfeld Modules of Rank 2 (with Arnab Saha), International Journal of Number Theory, 2025. (Doi link)
Numerical Semigroups with unique Apéry expansions (with Joydip Saha and Indranath Sengupta), Journal of Algebra and Its Applications, 2023. (Doi link)
Here is the link to my thesis.