Research

My research is primarily in algebraic number theory and arithmetic geometry. I am currently interested in the arithmetic of hyperelliptic curves.

Research Papers

   Work in progress:

  • On generalizations of the second Euclid-Mullin sequence (with J. Clark)

    Preprints/Submitted for Publication:

  • ABC and the Hasse principle for quadratic twists of hyperelliptic curves (with P.L. Clark) (pdf)
  • Varga’s theorem in number fields (with P.L. Clark) (pdf)

Talks

  • Graduate Student Seminar, The University of Georgia, November 28, 2017: “2-Selmer two ways
  • Mock AMS Conference, The University of Georgia, July 29-31, 2015: “An Introduction to P-orderings