Siddharth Gurumurthy

Siddharth Gurumurthy

Math grad student at URochester. I’m broadly interested in homotopy theory, category theory and algebraic topology.

Talks and presentations

These talks were given as part of courses or seminars. Handwritten notes which were written down as a part of the talks are attached, but are missing quite a bit of the context which was provided verbally. Not particularly useful.

  1. A categorical version of Brown’s Representability Theorem: Based on Heller’s paper.

  2. Elementary Topoi.pdf: A basic introduction to Elementary topi, generalized elements and Lawvere’s ETCS.

  3. Hilbert’s 17th problem: Based off of the proof given in Marker’s **Model Theory: An Introduction.” This was a collaborative talk, but this just includes my part in it.

  4. The Joyal Model structure on simplicial sets: Based on Chris Kapulkin’s notes on higher category theory.