2 citations · 3 across the 9 of their papers we have counts for
11 papers
Modularity theorems for Eisenstein congruences in prime-power level
Jaclyn Lang, Katharina Müller, Bharathwaj Palvannan
Let be primes such that . We prove modularity theorems at levels and , showing that suitable Eisenstein localizations of the weight- $…
A minimal modularity lifting theorem for Siegel modular forms
Shaunak V. Deo, Bharathwaj Palvannan
We prove a minimal modularity lifting theorem (in the spirit of Genestier--Tilouine and Pilloni) in the setting of Siegel modular forms of genus two when the residual representatio…
A new perspective on the rank of Mazur's Eisenstein Hecke algebra
Jaclyn Lang, Katharina Müller, Bharathwaj Palvannan
Let be primes such that . We study the rank of the Hecke algebra that parametrizes modular forms of weight 2 and level that are Eisenstein…
On local characterizations of Hida families of Siegel modular forms
Shaunak V. Deo, Bharathwaj Palvannan
We provide new local characterizations of Hida families of Siegel modular forms with genus two arising from stable Yoshida lifts, that is, automorphic inductions of nearly ordinary…
On the congruence ideal associated to -adic families of Yoshida lifts
Ming-Lun Hsieh, Bharathwaj Palvannan
We study congruences involving -adic families of Hecke eigensystems of Yoshida lifts associated with two Hida families (say ) of elliptic cusp forms. Wi…
An ergodic approach towards an equidistribution result of Ferrero--Washington
Jungwon Lee, Bharathwaj Palvannan
An important ingredient in the Ferrero--Washington proof of the vanishing of cyclotomic -invariant for Kubota--Leopoldt -adic -functions is an equidistribution result whic…
Codimension two cycles in Iwasawa theory and tensor product of Hida families
Antonio Lei, Bharathwaj Palvannan
The purpose of this paper is to build on results in {\it{higher codimension Iwasawa theory}}. The setting of our results involves Galois representations arising as cyclotomic twist…
Codimension two cycles in Iwasawa theory and elliptic curves with supersingular reduction
Antonio Lei, Bharathwaj Palvannan
A result of Bleher, Chinburg, Greenberg, Kakde, Pappas, Sharifi and Taylor has initiated the topic of higher codimension Iwasawa theory. As a generalization of the classical Iwasaw…
On free resolutions of Iwasawa modules
Alexandra Nichifor, Bharathwaj Palvannan
Let (isomorphic to ) denote the usual Iwasawa algebra and denote the Galois group of a finite Galois extension of totally real fields. When the non…
On Selmer groups and factoring -adic -functions
Bharathwaj Palvannan
Samit Dasgupta has proved a formula factoring a certain restriction of a 3-variable Rankin-Selberg -adic -function as a product of a 2-variable -adic -function related…
Height one specializations of Selmer groups
Bharathwaj Palvannan
We provide applications to studying the behavior of Selmer groups under specialization. We consider Selmer groups associated to four dimensional Galois representations coming from…