23 citations · 45 across the 13 of their papers we have counts for
13 papers
Eigenvalues and congruences for the weight paramodular nonlifts of levels , , and
Cris Poor, Jerry Shurman, David S. Yuen
We use Borcherds products to give a new construction of the weight paramodular nonlift eigenform for levels . We classify the congruences of to Grit…
Nonlift weight two paramodular eigenform constructions
Cris Poor, Jerry Shurman, David S. Yuen
We complete the construction of the nonlift weight two cusp paramodular Hecke eigenforms for prime levels N<600, which arise in conformance with the paramodular conjecture of Brume…
On the paramodularity of typical abelian surfaces (and reduction of G-covariant bilinear forms)
Armand Brumer, Ariel Pacetti, Cris Poor +3
Generalizing the method of Faltings-Serre, we rigorously verify that certain abelian surfaces without extra endomorphisms are paramodular. To compute the required Hecke eigenvalues…
Finding all Borcherds product paramodular cusp forms of a given weight and level
Cris Poor, Jerry Shurman, David S. Yuen
We present an algorithm to compute all Borcherds product paramodular cusp forms of a specified weight and level, describing its implementation in some detail and giving examples of…
Siegel Paramodular Forms of Weight 2 and Squarefree Level
Cris Poor, Jerry Shurman, David S. Yuen
We compute the space of weight Siegel paramodular cusp forms of squarefree level . In conformance with the paramodular conjecture of A. Brumer and K. Kramer,…
Antisymmetric Paramodular Forms of Weights 2 and 3
Cris Poor, Valery Gritsenko, David S. Yuen
We define an algebraic set in ~dimensional projective space whose -rational points correspond to meromorphic, antisymmetric, paramodular Borcherds products. We know…