Corvin Paul
Hi there. I am a second third year PhD student in mathematics at the LSGNT supervised by Simon Donaldson and Michael Singer. Before that I studied mathematics in Copenhagen, and mathematics and computer science in Karlsruhe. Currently this website mainly contains expository texts I have written at some point. You can reach me at firstname.lastname.18@ucl.ac.uk.
We are currently organising a workshop about calibrated geometry in the peak district. Cancelled thanks to Covid.
Teaching materials can be found further down.
Teaching
Seminars
Talks
Imperial College Junior Geometry Seminar 12.02.2021 : Adiabatic Limits by example
UCL Postgraduate Seminar 05.11.2021 : G2-metrics and Kovalev-Lefshetz fibrations
Conferences
Materials
Introduction to the twisted connected sum construction : Talk in the G2-reading group about Kovalev's construction of G2 manifolds via the twisted connected sum construction.
Instantons on six dimensional nearly Kähler manifolds: Notes on the paper https://arxiv.org/abs/1510.07720 written for a talk at the British Isles Graduate Workshop III.
Hyperkähler metrics on Hilbert schemes and instantons on Taub-NUT: (Unfinished) mini project with Michael Singer with the goal to construct a new hyperkähler metric on Hilbert schemes of points on the complex plane.
Circle quotients of G2-metrics and the Eguchi-Hanson space: (Unfinished) mini project with Simon Salamon about circle quotients of G2-manifolds. Contains a detailed exposition of the Eguchi-Hanson space as a Gibbons-Hawking ansatz metric.
An introduction to the almost purity theorem: Master thesis written under Dustin Clausen containing an exposition of Scholze's PhD thesis and a note on how to rewrite results of Tate in this language.
Étale cohomology and Brauer groups: Notes for a project with Lars Halle on étale cohomology mainly focusing on defining the Brauer-Manin obstruction.