3 papers
math.NT2026
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…
math.NT2025
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…
math.NT2024
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…