Publications

1. Canonical Witt Formal Scheme Extensions and p-torsion Groups (with A. Bertapelle and N. Mazzari),  Annali di Matematica Pura ed Applicata (2023), doi:10.1007/s10231-023-01321-2.

2.  Arithmetic Jet Spaces (with A. Bertapelle and E. Previato), Journal of Algebra, Vol 623, Pages 127-153, 2023, doi:10.1016/j.jalgebra.2023.01.026. 

3.   Differential modular forms over totally real fields of non zero integral weights (with D. Banerjee),  Research in Number Theory, 7(42), 2021, doi: 10.1007/s40993-021-00269-7.

4.  Isocrystals associated to arithmetic jet spaces of abelian schemes (with J. Borger), Advances in Mathematics, 351: 388-428, 2019.

5.   Differential characters of Drinfeld modules and de Rham cohomology (with J. Borger), Algebra and Number Theory, 13(4): 797–837, 2019

6.   Invariant rational forms for correspondences of curves, Journal of Number Theory 143:170-184, 2014.

7.   The first p-jet space of an elliptic curve: global functions and lifts of Frobenius (with A. Buium), Mathematical Research Letters, 21(4):677- 689, 2014.

8.   Hecke operators on differential modular forms mod p (with A. Buium), Journal of Number Theory 132(5):966-997, 2012.

9.   The ring of differential Fourier expansions (with A. Buium), Journal of Number Theory 132(5):896-937, 2012.

10.  Differential Overconvergence (with A. Buium), Algebraic methods in dynamical systems, volume 94 of Banach Center Publications, pages 99-129. Polish Acad. Sci. Inst. Math., Warsaw, 2011. 

Submitted/Preprints

11.  Differential Characters of Commutative Group Schemes (with R. Mishra), (submitted) 

12. Delta Characters and Crystalline Cohomology (with S. Pandit), (submitted)

13.  Delta Characters in Positive Characteristic and Galois Representations (with S. Pandit), (submitted)

14.  On de Rham Cohomology of Drinfeld Modules of Rank 2 (with S. Pandit)

15. On the refined Koblitz conjecture, (with S. Dey, J. Sivaraman and A. Vatwani), (submitted)