Research: My research concerns the combinatorial structures that arise in the geometry of algebraic varieties and the leveraging of these "tropical" methods to study curves, moduli, and enumerative geometry.
Teaching: Part II Algebraic Geometry (Lent 2021) & Part III Algebraic Surfaces (Lent 2021).
Cambridge Algebraic Geometry: I currently supervise two PhD students (Patrick Kennedy-Hunt and Wanlong Zheng); I regularly work with undergraduate students during the summer. You can read about their work here. Mark Gross and I have cognate research interests, and we together organize the algebraic geometry seminar. Navid Nabijou is a part of our group here.
Editorial: I serve on the editorial board of the Mathematical Proceedings of the Cambridge Philosophical Society. Instructions for submission are here.
I support and believe in Federico Ardila's axioms:
Mathematical talent is distributed equally among different groups, irrespective of geographic, demographic, and economic boundaries.
Everyone can have joyful, meaningful, and empowering mathematical experiences.
Mathematics is a powerful, malleable tool that can be shaped and used differently by communities to serve their needs.
Every student deserves to be treated with dignity and respect.