5 papers
On the cuspidal cohomology of Iwahori congruence subgroups of
Zachary Porat
We investigate automorphic forms for congruence subgroups of that are Iwahori at . In particular, we study the cuspidal cohomology of Iwahori congru…
Distinguishing elliptic curves modulo and identifying images of product representations
Jessica Bennett, Jeffrey Hatley, Sasha Kononova +3
Given two elliptic curves defined over and a rational prime , we study the product of their residual Galois representations. Using Goursat's lemma, we explicitly en…
Heuristics for (ir)reducibility of -rank strata of the moduli space of hyperelliptic curves
Thomas Bouchet, Erik Davis, Steven R. Groen +2
Let denote the moduli space of smooth hyperelliptic curves of genus in characteristic , and let denote the -rank stratum of $\…
Computations directly on the cuspidal cohomology of congruence subgroups of
Zachary Porat
Ash, Grayson, and Green [J. Number Theory 19 (1984), pp. 412-436] compute the action of Hecke operators on a certain subspace of the cohomology of low-level congruence subgroups of…
Family sizes for complete multipartite graphs
Danielle Gregg, Thomas W. Mattman, Zachary Porat +1
The obstruction set for graphs with knotless embeddings is not known, but a recent paper of Goldberg, Mattman, and Naimi indicates that it is quite large. Almost all known obstruct…