Sabin Cautis

Subject: Prospective PhD student: geometric representation theory affine Grassmannian categorification coherent sheaves categorical actions factorization spaces Satake category perverse sheaves flag varieties cluster varieties 4d N=2 field theory Dear Professor Cautis, My name is [your name], and I am a [your current degree or role] at [your institution]. I am applying for a PhD position starting in [term and year]. Your research on geometric representation theory affine grassmannian categorification coherent sheaves categorical actions factorization spaces satake category perverse sheaves flag varieties cluster varieties 4d n=2 field theory connects closely to my own work on [your research topic]. [One or two sentences on what you did and what you learned.] I also saw your NSERC-funded project "Representation theoretic methods in geometry and mathematical physics" (2019), and I would be glad to contribute to work in that direction. Are you accepting new PhD students for [term and year]? I have attached my CV and transcripts, and I would be glad to talk at a time that suits you. Thank you for your time. Kind regards, [your name]