Final year undergraduate at the University of Toronto. Interested in more or less anything, but if forced to pick (unordered): 1) Set theory, in particular inner model theory - background here is up to fine structure of the constructible hierarchy, but currently learning more. I also like (what I know about) forcing axioms. 2) Arithmetic geometry and more generally number theory - most relevant background is a topics course on Shimura curves (preceded by one on modular curves and modular forms, preceded by more general background). I`d also like to know more about the Langlands programme, but only have familiarity with basic objects yet. Basic things approaching the trace formula is a project for the next year. 3) Topos theory - Sheaves in Geometry and Logic is extremely beautiful, and I hope I have time to finish it all in thorough detail this year.
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