I am an assistant professor at the University of South Carolina.
I work in algebraic geometry. My current work focuses on abelian varieties, compactified Jacobians, moduli of sheaves and related topics.
During college, I worked at the Ross Mathematics Program at the Ohio State University for several summers. The program is a six week long residential program for high school students. I highly recommend the program! It is an excellent experience for talented students interested in mathematics.
Research Papers

A family of compactified jacobians satisfies autoduality because it has rational singularities
Submitted. (20 May, 2014)

The compactified Jacobian can be nonreduced
Submitted. (21 October, 2013)

The local structure of compactified Jacobians
(with S. CasalainaMartin and F. Viviani)
Submitted. (21 July, 2011)

Moduli of generalized line bundles on a ribbon
(with D. Chen)
Submitted. (27 June, 2011)

An explicit semifactorial model of the Néron model
To appear in Comptes Rendus Mathematique. (20 May, 2014)

An Abel map to the compactified Picard scheme realizes Poincaré duality
(with K. Wickelgren)
To appear in Algebraic & Geometric Topology. (July 10, 2014)

Singular curves and their compactified Jacobians
in
A
celebration of algebraic geometry  in honor of
Joe Harris's 60th birthday (AMS 2013), 391429.

The geometry and combinatorics of cographic toric face rings
(with S. CasalainaMartin and F. Viviani)
Algebra & Number Theory 7.8 (2013) 17811815.

An explicit nonsmoothable component of the compactified Jacobian
Journal of Algebra, 370 (2012), 326343.

Two ways to degenerate the Jacobian are the same
Algebra & Number Theory 7.2 (2012) 379404.

A Riemann singularity theorem for integral curves (with S. CasalainaMartin)
American Journal of Mathematics, 134.5 (2012) 11431165.

Good Completions of Néron Models
Ph. D. Thesis. (2009)
Teaching
I am not teaching this summer.
Students who have attended my classes have gone to have successful careers in law, medicine, science, and professional football.
When I was a graduate student, I had the honor of being a course assistant for the 7th most ridiculoussounding math class offered at a liberalarts college. The movie trailer for the class can be found here.
Seminar
Seminar on moduli of abelian varieties: Fall 2012, Summer 2013 .
Seminar on vector bundles on abelian varieties: Summer 2014.
Video Lectures
Expository Notes
Conferences Organized

the Commutative Algebra  Algebraic Geometry Meeting at South Carolina 2013
Me in Hannover next to the gravestone of Raphael Levi.