Jeff Breeding-Allison

jbreeding.math [at] gmail.com

About Me:

I am a Data Scientist. I am interested in time-series, neural networks, clustering, and other machine learning algorithms.

I am also a mathematician. I received my Ph.D. in Mathematics at the University of Oklahoma in 2011 under the supervision of Ralf Schmidt. I wrote my thesis on the irreducible non-cuspidal characters of GSp(4, k), where k is a finite field of odd order.

My main research interests are in number theory and the Langlands program. In particular, I am interested in representations of p-adic reductive groups, automorphic forms, and modularity. Much of my recent work has focused on topics related to A. Brumer and K. Kramer's Paramodular Conjecture. This conjecture is a degree two analogue of the Shimura Conjecture (Modularity Theorem) that all rational elliptic curves are modular.

© 2022 Jeff Breeding-Allison