I am a CLE Moore Instructor here at the Massachusetts Institute of Technology. In January 2019 I will join the University of Cambridge. Here is information about upcoming travel and some photographs from past travel. Research: My current research revolves around combinatorial structures that arise in the study of algebraic varieties and the leveraging of these structure to establish new results in algebraic geometry. My primary focus has been on applications of tropical, non-archimedean, and logarithmic techniques to the study of algebraic curves, the geometry and topology of their moduli spaces, and enumerative geometry. You can read a little about tropical geometry in Katz's nice Notices article.Teaching: From February to May 2018 I will be teaching 18.702, the second semester undergraduate abstract algebra at MIT. From August to December 2018 I will teach 18.700, a linear algebra course for mathematics and mathematics-adjacent students.Seminar: I co-organize the Harvard/MIT algebraic geometry seminar. The seminar is Tuesdays at 3 PM alternating between the two schools.On May 1st: MIT will host BATMOBYLE@MIT.Student Research: You can read about the work of undergraduates who did research with me here to get a feeling for what research with me might be like. In summer 2017 I was a coordinator for Yale's SUMRY program. I am presently supervising a high school student as a part of MIT's larger PRIMES-USA program. I am also happy to work with undergraduates at MIT via the UROP system. |