Peter Huxford
Department of Mathematics
The University of Chicago
About me
I am a sixth year graduate student in the Mathematics PhD program at the University of Chicago, advised by Benson Farb.
I am interested in the topology of spaces that come from algebraic geometry, such as configuration spaces and discriminant complements. Lately I've been thinking a lot about braid groups and symplectic groups.
Here is a link to my CV.
Research
- Noninjectivity of the monodromy of certain equicritical strata [arXiv]
(with Nick Salter) Preprint, 2024 - Generators for the level m congruence subgroups of braid groups [arXiv]
(with Ishan Banerjee) Preprint, 2024 - Braid groups, elliptic curves, and resolving the quartic [arXiv] [doi]
(with Jeroen Schillewaert) accepted to Math. Ann., 2024 - Short presentations of finite simple groups [arXiv]
Preprint, 2019
Selected talks
- Level m congruence subgroups of braid groups
Rice University Topology Seminar, September 2024 - Braids, elliptic curves, and solving the quartic equation [video (starts 12:04)]
Banff International Research Station, April 2024 - Rigidity of resolving the quartic and other algebraic constructions
The University of Auckland, July 2023 - Special configurations in algebraic geometry
The University of Auckland, May 2021
Fun
- A Modular Sculpture Corresponding to Three Rotations [link]
(with Shintaro Fushida-Hardy) Bridges Conference Proceedings (2024), pp. 511-514