# Research

Here are the papers I have written that relate to my current research
interests in mirror symmetry:

Zeta functions of alternate
mirror Calabi-Yau families,
(with Charles F. Doran,
Adriana Salerno,
Steven Sperber,
John Voight,
and Ursula Whitcher), to appear in
Israel Journal of Mathematics.

Derived Categories of BHK Mirrors, (with David Favero), submitted.

Equivalences of Families of Stacky Toric Calabi-Yau Hypersurfaces, (with Charles F. Doran and David Favero), to appear in Proceedings of the American Mathematical Society.

Proof of a Conjecture of Batyrev and Nill, (with David Favero), American Journal of Mathematics 139 no. 6 (2017), 1493-1520.

Picard Ranks of K3 Surfaces of BHK Type, Fields Institute Monographs, Calabi-Yau Varieties: Arithmetic, Geometry and Physics 34 (2015), 45-63.

Berglund-Hubsch-Krawitz Mirrors via Shioda Maps, Advances in Theoretical and Mathematical Physics, 17 no. 6 (2013), 1425-1449.

Mirror Quintics, discrete symmetries and Shioda Maps (with Gilberto Bini and Bert van Geemen) Journal of Algebraic Geometry, 21 (2012), 401-412.

Older Research:

Quiver Grassmannians and their Quotients by Torus Actions, Master's Thesis under Elham Izadi.

On Kostant's Theorem for Lie Algebra Cohomology (with UGA VIGRE Algebra Group), Contemporary Mathematics, 478 (2008), 39-60.