121 citations
- Friedrich-Alexander-Universität Erlangen-NürnbergDE12 papers
- University of North Carolina at Chapel HillUS12 papers
- University of WarwickGB11 papers
- University of PotsdamDE9 papers
- Czech Academy of Sciences, Astronomical InstituteCZ8 papers
- Texas Tech UniversityUS8 papers
- Charles UniversityCZ7 papers
- Radboud University NijmegenNL7 papers
- Boston UniversityUS5 papers
- KU LeuvenBE5 papers
- Universidad Católica del NorteCL5 papers
- Universität InnsbruckAT5 papers
6 papers · 1 filter
Computing supersingular endomorphism rings using inseparable endomorphisms
Jenny Fuselier, Annamaria Iezzi, Mark Kozek +2
We give an algorithm for computing an inseparable endomorphism of a supersingular elliptic curve defined over , which, conditional on GRH, runs in expected $O(…
Reciprocity and the Kernel of Dedekind Sums
Alexis LaBelle, Emily Van Bergeyk, Matthew P. Young
We use the action of Atkin-Lehner operators to generate a family of reciprocity formulas for newform Dedekind sums. This family of reciprocity formulas provides symmetries which we…
Hypergeometric series, truncated hypergeometric series, and Gaussian hypergeometric functions
Alyson Deines, Jenny G. Fuselier, Ling Long +2
In this paper, we investigate the relationships among hypergeometric series, truncated hypergeometric series, and Gaussian hypergeometric functions through some families of `hyperg…
Generalized Legendre curves and Quaternionic Multiplication
Alyson Deines, Jenny G. Fuselier, Ling Long +2
This paper is devoted to abelian varieties arising from generalized Legendre curves. In particular, we consider their corresponding Galois representations, periods, and endomorphis…
Traces of Hecke operators in level 1 and Gaussian hypergeometric functions
Jenny G. Fuselier
We provide formulas for traces of p-th Hecke operators in level 1 in terms of values of finite field 2F1-hypergeometric functions, extending previous work of the author to all odd…
Hypergeometric functions over F_p and relations to elliptic curves and modular forms
Jenny G. Fuselier
For primes p congruent to 1 mod 12, we present an explicit relation between the traces of Frobenius on a family of elliptic curves with j-invariant 1728/t and values of a particula…