3 papers
math.NT2021
Moments of Gaussian Periods and Modified Fermat Curves
Stephan Ramon Garcia, Brian Lorenz, George Todd
We use supercharacter theory to study moments of Gaussian periods. For and fixed , we compute the fourth absolute moments for all but finitely many primes . For …
math.CO2020
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…
math.NT2018
Supercharacters, elliptic curves, and the sixth moment of Kloosterman sums
Stephan Ramon Garcia, George Todd
We connect the sixth power moment of Kloosterman sums to elliptic curves. This yields an elementary proof that with are .