I am broadly interested in the geometry, topology, and arithmetic of algebraic varieties, with a focus on the development and application of combinatorial methods in algebraic geometry, especially through connections to tropical and nonarchimedean analytic geometry. My work is partially supported by NSF DMS–1068689 and NSF CAREER DMS–1149054.
Asher Auel, Dustin Cartwright, Dave Jensen, and I run a weekly seminar on algebraic and tropical geometry. We meet on Thursday afternoons, 4:30–5:30 pm, in 431 DL.
I am currently teaching a graduate class on scheme theory and a section of second semester calculus (MATH 115) with a flipped classroom. I also 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.
Slides and videos from selected talks
Topology of nonarchimedean analytic spaces. Current Events Bulletin. AMS/MAA Joint Meetings, San Diego. January 11, 2013.
Limits of tropicalizations. Special Session on Tropical Geometry. AMS/MAA Joint Meetings, San Diego. January 9, 2013.
Bidding Games. Department Colloquium, Eindhoven. May 30, 2012.
Tropical and nonarchimedean analytic geometry of curves. Latin School of Algebraic Geometry (ELGA), Córdoba, Argentina. August 11, 2011.
Nonarchimedean geometry, tropicalization, and metrics on curves. AGNES Spring 2011, MIT. April 25, 2011.
Boundary complexes of varieties. MSRI conference on Combinatorial, Enumerative, and Toric Geometry. March 25, 2009.