Research: My current research focuses on the development and application of combinatorial methods in algebraic geometry, especially through connections to tropical geometry and nonarchimedean analytic spaces. This work is partially supported by NSF grants DMS–1068689 and CAREER DMS–1149054.

Teaching and Service: I am currently teaching a graduate course on scheme theory (MATH 658) and a section of second semester calculus (MATH 115) with a flipped classroom. I serve as the faculty sponsor for Yale Splash, on the scientific committee of GAeL, on the organizing committee for AGNES, and sponsor undergraduate research projects throughout the year.

Seminar: Together with Asher Auel, Dustin Cartwright, Dave Jensen, I run a weekly seminar on algebraic and tropical geometry. We meet on Thursday afternoons, 4:30–5:30 pm, in 431 DL.

Undergraduate Research: Together with Amanda Folsom, I am co-director of SUMRY, a ten week intensive summer research program in mathematics for undergraduate Yale students.