activity
20082023
most citedGeneralized Legendre curves and Quaternionic Multiplication

16 citations · 31 across the 7 of their papers we have counts for

collaborators

8 papers

math.NT2023★ 1 cited

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(…

math.NT2015

Hypergeometric Functions over Finite Fields

Jenny Fuselier, Ling Long, Ravi Ramakrishna +2

Building on the developments of many people including Evans, Greene, Katz, McCarthy, Ono, Roberts, and Rodriguez-Villegas, we consider period functions for hypergeometric type alge…

math.NT2015★ 5 cited

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…

math.NT2014★ 16 cited

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…

math.NT2014

Hypergeometric type identities in the -adic setting and modular forms

Jenny G. Fuselier, Dermot McCarthy

We prove hypergeometric type identities for a function defined in terms of quotients of the -adic gamma function. We use these identities to prove a supercongruence conjecture o…

math.NT2012★ 5 cited

Mahler measure of some singular K3-surfaces

Marie-Jose Bertin, Amy Feaver, Jenny Fuselier +2

We study the Mahler measure of the three-variable Laurent polynomial x + 1/x + y + 1/y + z + 1/z - k where k is a parameter. The zeros of this polynomial define (after desingulariz…