2 papers
math.NT2025
Uniform bounds on the level of cyclotomic division fields of elliptic curves
Sam Allen, Tyler Genao
In this paper, we prove that for each number field there exists a uniform bound on the prime levels of elliptic curves for which . Under the Generali…
math.GT2025
Knot primality: knot Floer homology, metacyclic representations and twisted homology
Samantha Allen, Charles Livingston
We develop purely algebraic methods for proving that a knot is prime. Our approach uses the Heegaard Floer polynomial in conjunction with classical knot-theoretic methods: cyclic,…