Some expository notes that I've made over the years.
Some expository notes that I've made over the years.
These were notes made for talks intended for Part III (masters) students studying algebraic geometry.
Everything that can go wrong will go wrong. Slides for a presentation on parts of my Part III essay on Hilbert Schemes of Points, Lent 2023.
Tropical Brill Noether Theory. Handwritten notes for Part III seminar, Michaelmas 2022.
These were notes made for talks intended for undergraduate students studying a variety of pure maths subjects.
Moduli Spaces of Curves. An extremely light introduction to moduli spaces of algebraic and tropical curves.
Cohomology and vector bundles. A fast and loose introduction to De Rham cohomology as background for a seminar series in K-theory.
These were notes made for talks intended for sixth form (high school) students. Feel free to reach out to me if you would like to use them.
Algebraic curves and tropical geometry. The talk on enumerative geometry below was found to be quite hard, so it was reshaped into a softer introduction to projective varieties, with a little flavouring of tropical geometry at the end. The only talk of this set that went well over time, so a warning applies.
Bernoulli numbers and sums of powers. What it says on the tin.
Enumerative geometry. Mainly consists of an elementary proof of Bezout's theorem.
Hyperbolic geometry. An introduction to Riemannian metrics and the hyperbolic disc model. Also has slides.
I am currently secretary of the Cambridge Univeristy Ethics in Maths society.
COMPAS, algorithms, and the fairness debate. Winter essay written 2019-2020, topic set by Maurice Chiodo.
Algorithms and the mathematics of fairness. Handwritten notes for a 30 minute talk for Part III seminar, Michaelmas 2023.