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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.

Fractional Calabi-Yau Categories from Landau-Ginzburg Models, (with David Favero), to appear in Algebraic Geometry (Foundation Compositio).

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.