Research — Michael Allen

(With Brian Grove, Ling Long, and Fang-Ting Tu) The explicit modularity method, in preparation.
(With Ling Long) Hypergeometric functions through the arithmetic kaleidoscope, in preparation for the Notices of the American Mathematical Society.
(With Renee Bell, Robert Lemke Oliver, Allechar Serrano López, and Tian An Wong) Fields generated by points on plane curves, in preparation.
(With Olivia Beckwith and Vaishavi Sharma) Holomorphic projection for sesquiharmonic Maass forms, in preparation.
On some hypergeometric supercongruence conjectures of Long, Ramanujan Journal (2023).
Existence of η-quotients for squarefree levels, Research in Number Theory, 6, 34 (2020).
(With Nicholas Anderson, Asimina Hamakiotes, Ben Oltsik, and Holly Swisher) Eta-quotients of prime or semiprime level and elliptic curves, Involve, 13, 5 (2020), 879-900.