151 citations · 289 across the 14 of their papers we have counts for
16 papers
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…