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 Gromov-Witten theory.
For PhD Students & Postdoctoral Fellows: In October 2020 I will organize an Oberwolfach seminar aimed at young researchers on the subject of logarithmic and tropical enumerative geometry. If you're interested in the subject, please apply!
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 the work of undergraduates who have worked with me here. Mark Gross and I have cognate research interests, and we together organize the algebraic geometry seminar.
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.