Research

Interests

I am interested in arithmetic geometry. I use multidimensional formal groups in a theory that parallels complex multiplication of abelian varieties to examine generalizations of results from local class field theory. I generally enjoy all things p-adic and involving Galois representations.

Publications

  1. Multidimensional formal group laws with complex multiplication. (2020) Dissertation completed at the University of Colorado under PhD advisor David Grant. Submitted via Proquest. (PDF)
  2. The Refined Lecture Hall Theorem via Abacus Diagrams. (2012). Bradford, Harris, Jones, Komarinski, Matson, & O'Shea. The Ramanujan Journal. 34. doi:10.1007/s11139-013-9525-8. (arXiv)