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)

## Talks

*Hasse Principle Violations of Quadratic Twists of Hyperelliptic Curves,*Connecticut Summer School in Number Theory (CTNT), University of Connecticut, June 1, 2018.*2-Selmer two ways*, Graduate Student Seminar, The University of Georgia, November 28, 2017.*An Introduction to P-orderings*, Mock AMS Conference, The University of Georgia, July 29, 2015.