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

## Research Papers

#### Preprints:

*Hasse principle violations in twist families of superelliptic curves.*(pdf)*Odd degree isolated points on X*(with A. Bourdon, D. Gill, and J. Rouse). (arxiv)_{1}(N) with rational j-invariant*On generalizations of the second Euclid-Mullin sequence*(with J. Clark). (pdf)

#### Accepted and/or Published:

*ABC and the Hasse principle for quadratic twists of hyperelliptic curves*(with P.L. Clark). C. R. Math. Acad. Sci. Paris 356 (2018), 911-915. (pdf)*Varga’s theorem in number fields*(with P.L. Clark). INTEGERS 18 (2018), A74, 11pp. (pdf)

## Upcoming Talks

- (TBD) Appalachian State University. April 30, 2021.

## Previous Talks

- On isolated points of odd degree on X1(N).

JMM NAM Haynes-Granville-Browne Session of Presentations by Recent Doctoral Recipients. January 7, 2021. - Odd degree isolated points on X1(N) with rational j-invariant.

University of Washington. December 1, 2020. - Hasse Principle Violations of Quadratic Twists of Hyperelliptic Curves.

Center for Computing Sciences Seminar. February 2020 *Hasse Principle Violations of Quadratic Twists of Hyperelliptic Curves*.

JMM AMS Special Session on Arithmetic Statistics. January 18, 2019.*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.