Reading groups
Probabilistic Operator Algebras Seminar
I am currently the website manager for Voiculescu’s Probabilistic Operator Algebras Seminar online. For schedule and details, see http://poas-math.com
Past seminars and reading groups
- During Fall 2024-Summer 2025 I co-organized a reading group with Jennifer Pi on the paper [2407.13344] Extremal models and direct integrals in affine logic by Ben Yaacov, Ibarlucía, and Tsankov.
- During July 2024-March 2025, I organized an online reading group on non-commutative optimal transport, including both quantum and free probability settings. This was intended to prepare for the IPAM long program on non-commutative optimal transport in Spring 2025.
- I coorganized with Anshu the Model Theory of C*-algebras Reading Seminar at the Fields Institute for Fall 2023. This was part of the long program in operator algebras
- I organized the UCSD Functional Analysis Seminar for 2021-2022.
- During 2022-2023, I was a coorganizer with Priyanga Ganesan for the UCSD functional analysis seminar (details can be found here).
Learning resources
Random matrices and free probability
- An introduction to random matrices by Greg Anderson, Alice Guionnet, and Ofer Zeitouni. (Free PDF)
- Free probability and random matrices by James Mingo and Roland Speicher. (Free PDF)
C* and von Neumann algebras
- C*-Algebras and Finite-Dimensional Approximations by Nathanial P. Brown and Narutaka Ozawa.
- Introduction to II1 factors by Claire Anantharaman-Delaroche and Sorin Popa (free).
Model theory of operator algebras
- Model theory for metric structures by Itai Ben Yaacov, Alexander Berenstein, C. Ward Henson, Alexander Usvyatsov. (Free PDF)
- Model theory of operator algebras edited by Isaac Goldbring.