Hi! I'm Calum Crossley, currently a PhD student in mathematics at UCL as part of the LSGNT, supervised by Ed Segal.
I study algebraic geometry using homological algebra, in the guise of derived categories of sheaves. 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 have 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.
I am currently co-organizing the KCL / UCL Junior Geometry Seminar for 2024-2025.