1 citations · 1 across the 5 of their papers we have counts for
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Counting level-raising congruences using modular representation theory
Jaclyn Lang, Robert Pollack, Preston Wake
We introduce a new method for studying mod- congruences between eigenforms through the modular representation theory of . When $p\equiv \pm 1 \p…
On the maximality of the -invariants of Mazur--Tate elements
Antonio Lei, Robert Pollack, Naman Pratap
Let be an elliptic curve with good ordinary reduction at an odd prime . Assuming that Greenberg's conjecture holds, we show that the -invariants of the Mazur--Tate…
The refined Tamagawa number conjectures for
Chan-Ho Kim, Robert Pollack
Let be a cuspidal newform and a prime such that the associated -adic Galois representation has large image. We establish a new and refined "Birch and Swinnerton-D…
On the Iwasawa Invariants of Mazur--Tate elements of elliptic curves at additive primes
Antonio Lei, Robert Pollack, Naman Pratap
We investigate the -invariants of Mazur--Tate elements of elliptic curves defined over the field of rational numbers at primes of additive reduction. We explain their growth and…
Iwasawa invariants in residually reducible Hida families
Robert Pollack, Preston Wake
We study the variation of -invariants of modular forms in a cuspidal Hida family in the case that the family intersects an Eisenstein family. We allow for intersections that occ…