Publications and Preprints
Publications:
Structure of Hecke algebras of modular forms modulo p, Algebra & Number Theory, 11(1): 1-38, 2017.
On the eigenvariety of Hilbert modular forms at classical parallel weight one points with dihedral projective image, Transactions of AMS, 370 (6): 3885-3912, 2018.
Newforms mod p in squarefree level with applications to Monsky's Hecke-stable filtration (with an Appendix by Alexandru Ghitza) (joint with Anna Medvedovsky) , Transactions of AMS Series B, 6 (2019): 245-273, 2019.
Dihedral universal deformations (joint with Gabor Wiese), Research in Number Theory, 6 (2020), No. 3, Article Number: 29, 37 pages, 2020.
On the Hilbert eigenvariety at exotic and CM classical weight 1 points (joint with Adel Betina and Francesc Fite), Mathematische Zeitschrift, 298, No. 3-4, 1077-1096, 2021.
Effect of increasing the ramification on pseudo-deformation rings, Journal de Théorie des Nombres de Bordeaux (JTNB), Vol. 34, No. 1, 189-236, 2022.
On the μ equals zero conjecture for fine Selmer groups in Iwasawa theory (joint with Anwesh Ray and R. Sujatha), Pure and Applied Mathematics Quarterly, Vol. 19, No. 2, 641-680, 2023.
On density of modular points in pseudo-deformation rings, International Mathematics Research Notices (IMRN), Vol. 2023, Issue 21, 18443-18499, 2023.
The Eisenstein ideal of weight k and ranks of Hecke algebras, Accepted for Publication in Journal de l'Institut de Math de Jussieu.
Unramifiedness of weight one Hilbert Hecke algebras (joint with Mladen Dimitrov and Gabor Wiese), Accepted for Publication in Algebra & Number Theory.
Mod-2 Hecke algebras of level 3 and 5 (joint with Anna Medvedovsky), Accepted for Publication in Selecta Mathematica.