My research area is Algebraic Number Theory, more specifically, Iwasawa Theory.  I'm interested in main conjectures of Iwasawa Theory in the context of number fields, elliptic curves and graphs.  Here is my research statement.

8) An Equivariant Main Conjecture for Branched $Z_p$-towers of Finite Graphs (with Daniel Vallieres) (in preparation)

7) Iwasawa Theory for the Branched $Z_p$- towers of Finite Graphs and Ihara zeta and L-functions (with Daniel Vallieres) (arxiv )

6) Structure of (Fine) Mordell-Weil Groups (with Debanjana Kundu) (arxiv )

5) An Integral Equivariant Refinement of the Iwasawa Main Conjecture for Totally Real Fields (arxiv )

4) Equivariant Iwasawa Theory for Ritter-Weiss Modules and Applications (with Cristian Popescu)  (arxiv )

3) On the p-ranks of class groups of certain Galois extensions (with Ufuoma Asarhasa, Debanjana Kundu, Enrique Nunez Lon-Wo, Arshay Sheth) (arxiv )

2) Iwasawa Theory for the Branched $Z_p$- towers of Finite Graphs (with Daniel Vallieres)  Documenta Mathematica 29, no. 6, (2024) 1435-1468.(arxiv , journal )

1)  An Unconditional Equivariant Main Conjecture in Iwasawa Theory (with Cristian  Popescu), Research in the Mathematical Sciences 12, 95 (2025). (arxiv, journal )

Here is my PhD thesis.