Research

I am interested in the arithmetic of modular forms. More specifically, I am interested in p-adic L-functions, Euler systems, Iwasawa theory and their p-adic variation.

My research is supported by a DST INSPIRE Faculty Grant (IFA20-MA-147) and a DST SERB MATRICS grant (MTR/2022/000031).

Curriculum Vitae

Papers and Preprints

6. Stark-Heegner cycles for cohomological representations of PGL(2) over arbitrary number fields. Preprint.

5. The rationality of Stark-Heegner cycles attached to Bianchi modular forms - The base--change scenario. Preprint (ArXiv).

4. (w/ C. Williams) Stark-Heegner cycles attached to Bianchi modular forms. J. London Math. Soc. Vol. 104(1) (2021), 394-422 (Journal | ArXiv | Video).

3. (w/ K. Buyukboduk and A. Lei) Iwasawa theory for Symmetric Square of non-p-ordinary eigenforms. Documenta Mathematica Vol. 26 (2021) 1-63. (Journal | ArXiv).

2. (w/ K. Buyukboduk, A. Lei and D. Loeffler) Iwasawa theory for Rankin-Selberg products of p-non-ordinary eigenforms, Algebra & Number Theory Vol. 13 (4) (2019), 901-941. (Journal | ArXiv).

1. Darmon cycles and the Kohnen-Shintani lifting, Trans. Amer. Math. Soc. Vol. 370(6) (2018), 4059-4087. (Preprint | Journal).

Undergraduate Papers

1. Baer sum constructions and extension of modules. Math. Newsl. 21 (2011), no. 2, 67–68.

2. Extensions of modules. Math. Newsl. 19 (2010), no. 2, 6–9.