Calum Crossley

About

Hi! I'm Calum Crossley, currently a PhD student in mathematics at UCL as part of the LSGNT, supervised by Prof Ed Segal.

At the moment I am interested in matrix factorizations; their relations to the geometry of algebraic varieties via derived categories, and to physics (actually, string theory) via Landau–Ginzburg models.

Education

I have been a student with the LSGNT since Winter 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 Prof Alan Lauder.

Teaching

This year I am doing TA work for Algebra 1 (MATH0005) at UCL.

Talks and Seminars

I am currently co-organizing the KCL / UCL Junior Geometry Seminar for 2024-2025.

Talks:

• 4 Oct 2024, 'Cohomology and Derived Categories' for the Imperial Junior Geometry Seminar

Notes

• Foliations mini-project supervised by Dr Calum Spicer
• Derived categories mini-project with Bogdan Simeonov and Ines Chung-Halpern, supervised by Prof Ed Segal
• LSGNT Elliptic Curves by Prof Vladimir Dokchitser, personal notes from 2023-2024
• LSGNT Geometry Topics, personal notes from 2023-2024
• LTCC Birational Geometry by Dr Calum Spicer, personal notes from 2023-2024

Websites

• https://calumcrossley.github.io/
• https://www.ucl.ac.uk/junior-geometry/