About

I am an NSF Postdoc/Research Assistant Professor in the mathematics department at UIC. I received my Ph.D. at the University of Georgia in 2022, under the direction of Valery Alexeev. Previously I was an undergraduate at Cal Poly in San Luis Obispo, CA.

Here is my CV.

You can contact me at nschoc2@uic.edu

Research

I am interested in algebraic geometry and tropical geometry. My research focuses in particular on intersection theory and birational geometry of moduli spaces of higher-dimensional varieties, and the use of tropical geometry in the study of such moduli spaces.

Papers

• Moduli of weighted stable marked cubic surfaces. Preprint, submitted (2024).

• The W(E_6)-invariant birational geometry of the moduli space of marked cubic surfaces. Math. Nachrichten (2024). arxiv

• Quasilinear tropical compactifications. Advances in Mathematics (accepted) (2021).

• Intersection theory of the stable pair compactification of the moduli space of six lines in the plane. European Journal of Mathematics (2021). arxiv.

• Classically integral quadratic forms excepting at most two values, with M. Barowsky, W. Damron, A. Mejia, F. Saia, K. Thompson. Proc. Amer. Math. Soc. 146 (2018), 3661-3677.