Research: I study combinatorial and "tropical" structures that arise in the geometry of algebraic varieties and use them to study curves, moduli, and enumerative geometry.
Teaching: Part II Algebraic Geometry (Lent 2021) & Part III Algebraic Surfaces (Lent 2021).
Cambridge Algebraic Geometry: I supervise two PhD students (Patrick Kennedy-Hunt and Wanlong Zheng); Navid Nabijou is a Herchel-Smith fellow in my group; Qaasim Shafi is visiting my group from the LSGNT. Mark Gross and his students have cognate research interests; we organize the algebraic geometry seminar.
Travel: Some Past Adventures.
Undergraduates: I regularly work with undergraduate students. You can read about their work here.
Editorial: I am an editor for 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.