151 citations · 262 across the 18 of their papers we have counts for
18 papers
Dedekind zeta functions of non-Galois torsion fields of elliptic curves
Robert Pollack, Tom Weston
We give an algorithm to determine factorization types of primes in the number fields generated by a single point of odd order on an elliptic curve. We apply this to compute coeffic…
Diophantine stability for elliptic curves on average
Anwesh Ray, Tom Weston
Let be a number field and a prime number. Mazur and Rubin introduced the notion of diophantine stability for a variety at a prime . We show that th…
Hilbert's tenth problem in Anticyclotomic towers of number fields
Anwesh Ray, Tom Weston
Let be an imaginary quadratic field and be an odd prime which splits in . Let and be elliptic curves over such that the -modules …
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…
Class group statistics for torsion fields generated by elliptic curves
Anwesh Ray, Tom Weston
For a prime and a rational elliptic curve , set to denote the torsion field generated by .…
Arithmetic statistics for Galois deformation rings
Anwesh Ray, Tom Weston
Given an elliptic curve defined over the rational numbers and a prime at which has good reduction, we consider the Galois deformation ring parametrizing lifts of the re…