My research is primarily in algebraic number theory and arithmetic geometry. I am currently interested in the arithmetic of algebraic 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). To appear in C. R. Math. Acad. Sci. Paris (pdf)
  • Varga’s theorem in number fields (with P.L. Clark). To appear in INTEGERS. (pdf)