I am an associate professor in mathematics at Cambridge and a fellow at John's. I study algebraic geometry.
My work focuses on tropical geometry in moduli theory and enumerative geometry. You can get a flavour for it from this Quanta article and these more detailed articles: I, II, and III.
I am teaching Part II Algebraic Geometry this term. I taught Part III Algebraic Geometry last term.
Cambridge Algebraic Geometry: I supervise PhD students Ajith, Patrick, Siao Chi, Siddarth (with Melody), and Terry. Thibault is a postdoctoral fellow in the group. You can get a sense of what people work on here. The broader group includes postdoctoral fellows Tim and Eloise. Mark and his students have similar interests. We run a seminar.
Undergraduates: I help coordinate the Cambridge Summer Research in Mathematics Programme. You can read about work of my former students here.
Editorial: I am an editor for the Mathematical Proceedings of the Cambridge Philosophical Society.
My work is currently supported by the EPSRC.
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.