151 citations · 289 across the 14 of their papers we have counts for
16 papers · 1 filter
Explicit reciprocity laws and Iwasawa theory for modular forms
Matthew Emerton, Robert Pollack, Tom Weston
We prove that the Mazur-Tate elements of an eigenform sit inside the Fitting ideals of the corresponding dual Selmer groups along the cyclotomic -extension (up to…
Non-vanishing of critical -values in Hida families
Robert Pollack, Vlad Serban
We study the vanishing of as runs through all classical forms in a -adic Hida family (including forms with arbitrarily high nebentype at ), runs through al…
Slopes of modular forms and reducible Galois representations: an oversight in the ghost conjecture
John Bergdall, Robert Pollack
The ghost conjecture, formulated by this article's authors, predicts the list of p-adic valuations of the non-zero p-th eigenvalues ("slopes") for overconvergent p-adic modular eig…
-adic Gross-Zagier formula at critical slope and a conjecture of Perrin-Riou
Kazim Büyükboduk, Robert Pollack, Shu Sasaki
Let be an odd prime. Given an imaginary quadratic field where splits with , and a -ordinary newform such that …
Congruences with Eisenstein series and mu-invariants
Joël Bellaïche, Robert Pollack
We study the variation of mu-invariants in Hida families with residually reducible Galois representations. We prove a lower bound for these invariants which is often expressible in…
Slopes of modular forms and the ghost conjecture, II
John Bergdall, Robert Pollack
In a previous article, we constructed an entire power series over -adic weight space (the 'ghost series') and conjectured, in the -regular case, that this series encodes…