I am a sixth year graduate student at Penn State University, expecting
to graduate in May 2018. My advisor is
Kirsten Eisenträger. I am interested in number theoretic
questions of decidability and definability, and in algorithmic number
theory with applications to cryptography.
Publications and Preprints
Diophantine definitions of non-norms of square-free cyclic
extensions of global fields. In preparation.
On the hardness of
computing endomorphism rings of supersingular elliptic curves.
With Kirsten Eisentäger and Sean Hallgren. Submitted for publication, 2017.
Universally and existentially definable subsets of global fields. With Kirsten Eisenträger. Accepted for publication, 2017.