Calum Crossley
- Location: University College London
- E-mail: calum dot crossley dot 23
@ucl.ac.uk
- CV: cv.pdf
(updated 2024)
About
Hello! I'm Calum Crossley, currently a PhD student in mathematics at UCL as
part of the LSGNT, supervised by
Ed Segal.
My research is within algebraic geometry, working with derived categories of
sheaves on varieties. I am also interested in matrix factorizations of
polynomials, which give a deformed version of these derived categories
relating to the physics-inspired conjectures of homological mirror symmetry.
I've been a student with the LSGNT since Autumn 2023. As an undergraduate, I
completed an MMath degree at the University of Oxford during 2019-2023, with a
masters' thesis on varieties over finite fields supervised by
Alan Lauder.
Preprints
Talks and Seminars
I am currently co-organizing the
KCL / UCL Junior Geometry Seminar for 2024-2025.
Talks:
Teaching
- Spring 2025: Advanced Linear Algebra (UCL), Marker.
- Spring 2025: Effective Methods in Algebra (LMO), TA.
- Autumn 2024: Algebra 1 (UCL), TA.
- Autumn 2024: Foundations and Proofs (UCL), Marker.
Notes
Be warned, these may contain errors:
- Derived categories
mini-project with Bogdan Simeonov and Ines Chung-Halpern,
supervised by Ed Segal, 2023-2024.
- LSGNT 'Elliptic Curves' by Vladimir Dokchitser,
personal notes from 2023-2024.
- LSGNT 'Topics in Geometry',
personal notes from 2023-2024.
- LTCC 'Birational Geometry' by Calum Spicer,
personal notes from 2023-2024.
Websites