• Introductory talk on TQFTs [notes] (given in Current Mathematics Seminar, Rice)
• Introductory talk on Hopf algebras and Quantum Symmetries [slides] (given at Google X)

The following are notes for some talks that I have given as part of various learning groups (organized by Dr. Chelsea Walton) and student seminars. If you find any errors or would like to discuss any of the material here, please email me.

• AGNT-QA learning group (Fall 2021 - Spring 2022) reading Correspondences of ribbon categories
  • FFRS 2006, section 7 [notes]
  • FFRS 2006, section 4 [notes]
  • FFRS 2006, section 3.1 [notes]
  • FFRS 2006, section 2.3 [notes]
• Hochschild cohomology (Spring 2021)
  • Graded defomrations, PBW theorem, Braverman-Gaitsgory theory [notes]
• 3D TQFTs and Modular Categories (Fall 2020)
• Definitions of ordinary and entended TQFTs [notes]
• 3,2,1 TQFT, Z(S^1) is ribbon, internal string diagrams [notes]
• Description of Bord_{3,2,1}, constructing extended TQFT using a ribbon category [notes]
• Braided Tensor Categories (Summer 2020)
  • EGNO sec 8.7,8.8 Module cat over braided cats, commutative algs, central functors [notes]
  • EGNO sec 8.13 - S-matric of a premodular category [notes]
  • EGNO sec 8.15 - Gauss sums [notes]
  • EGNO sec 8.16 - Representations of the modular group [notes]
• Monoidal Categories (Fall 2019)
• Reconstruction theorems (EGNO sec 5.2,5.3,9.9) [notes]
• Drinfeld center [notes]