I am an associate 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 counting curves arithmetically.
I was a mentor for the Grace Jordan McFadden Professors Program (formerly the African American Professors Program). I recommend the program. My mentee said it "helped immensely"
Candace Bethea and Paula Vazquez founded a local chapter of the Association for Women in Mathematics. Check out their activities here.
During college, I worked at the Ross Mathematics Program for several summers. The program is a six week long residential program for high school students. It is an excellent experience for talented students interested in mathematics.
Research Papers
Research projects sponsored by the National Security Agency under Grant Number H982301510264, the Simons Foundation under Award Number 429929, and the National Science Foundation under Grant Number 2001565. The United States Government is authorized to reproduce and distribute reprints of the projects sponsored by the NSA notwithstanding any copyright notation herein.

An Example of Wild Ramification in an Enriched RiemannHurwitz Formula
(with C. Bethea and K. Wickelgren)
Submitted. (8 December 2018)

An arithmetic count of lines on a smooth cubic surface
(with K. Wickelgren)
Submitted. (2 August, 2017)

A classical proof that the algebraic homotopy class of a rational function is the residue pairing
(with K. Wickelgren)
Linear Algebra Appl. 595 (2020), 157–181.

James L. Solomon and the end of segregation at the University of South Carolina
(with contributions from N. Knox, H. M. Treadwell, and C. L. Solomon)
Notices Amer. Math. Soc. 67 (2020), no. 2, 192–200. Additional material here.

The stability space of compactified universal Jacobians
(with N. Pagani)
Trans. Amer. Math. Soc. 372 (2019), no. 7, 4851–4887.

The class of EisenbudKhimshiashviliLevine is the local ABrouwer degree (with K. Wickelgren)
Duke Math. J. 168 (2019), no. 3, 429469.

How can a line bundle on a curve degenerate
Oberwolfach Report on workshop Flat Surfaces and Algebraic Curves (November 5, 2018).

An étale realization function which does not exist
(with K. Wickelgren)
in
New Directions in Homotopy Theory (AMS 2018) 1130.

Extending the Double Ramification Cycle using Jacobians (with D. Holmes and N. Pagani)
European Journal of Mathematics (2018) 113.

Extensions of the universal theta divisor (with N. Pagani)
Advances in Mathematics 321(1) (2017) 221268.

Autoduality holds for a degenerating abelian variety
Research in the Mathematical Sciences 4:27 (2017), 11 pp.

The singularities and birational geometry of the universal compactified Jacobian
(with S. CasalainaMartin and F. Viviani)
Algebraic Geometry 4(3) (2017) 353393.

A1Milnor number
(with K. Wickelgren)
Oberwolfach Report 35(2016) 20472052.

Moduli of generalized line bundles on a ribbon (with D. Chen)
J. Pure Appl. Algebra 220(2) (2016) 822844.

The compactified Jacobian can be nonreduced
Bull. London Math. Soc. 47(4) (2015) 686692.

The local structure of compactified Jacobians
(with S. CasalainaMartin and F. Viviani)
Proc. Lond. Math Soc. 110(2) (2015) 510542.

An Abel map to the compactified Picard scheme realizes Poincaré duality
(with K. Wickelgren)
Algebraic & Geometric Topology 15.1 (2015) 319369.

An explicit semifactorial model of the Néron model
Comptes Rendus Mathematique 352.9 (2014) 667671.

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
PhD Thesis. (2009)
Desegregation and Mathematics
One of the first African American students who desegregated the University of South Carolina in 1963 was mathematics graduate student James L. Solomon. You can find more information about him here: James L. Solomon Archive.
Blog
I keep a blog Blind Math with a Math Degree. The blog primarily records my thoughts and ideas about the racial desegregation of higher education, especially the role played by mathematicians. The blog started as a place to record thought about James Solomon that did not make it into my article.
Teaching
Course website is here.
If you are an undergraduate thinking of asking me for a letter of recommendation, please read Keith Conrad’s page.
Interesting in having me sit on your thesis committee? I require a draft of your thesis 45 days in advance of your defense.
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.
Outreach
Frank Thorne and I are assisting Marcus Neal and Patrick Rybarczyk at Hammond school in running the Columbia Math Circle. The Math Circle is a weekend math program for middle school and high schools students interested in exploring math outside of school.
If you are a South Carolina teenager or a mathematician interested in working with teenagers, I encourage you to participate. Some details about the program are in this old announcement email.
Advising
Interested in working with me? Check out the advice pages of Jordan Ellenberg, Kiran Kedlaya, Bjorn Poonen, Hal Schenk, and David ZureickBrown.
Current University of South Carolina graduate students are advised to read this FAQ about graduation requirements.
Seminars
Video Lectures
Events Organized
Letters to the Editor
Expository Notes
Me in Hannover next to the gravestone of Raphael Levi.
Me next to an announcement of the James Solomon Commemoration.
My dad Richard 'doc' Kass was the drummer in the (Original) Primetime Blues Band. (Photo from Richard Kass.)