Resources By Branch (Selected Texts, Surveys, Video's etc)
Free Probability
- Lectures on the Combinatorics of
Free Probability Theory by Nica and Speicher
- Free Probability and Random
Matrices by Mingo and Speicher
- Free Probability Theory And Its Avatars by Roland Speicher
- Surveys of Free Probability Theory by Roland Speicher
- History and Overview of Free Probability by Roland Speicher
- Lecture Series on Free Probability by Roland Speicher
- Motivation for Operator-Valued-Free Probability by Roland Speicher
- Lecture Series on the Strong Convergence, by Ramon van Handel
- Brown Measures
- ...
Random Matrix Theory
- An Introduction to Random Matrices by Anderson, Guionnet and Zeitouni
- The Random Matrix Theory of the
Classical Compact Groups by Meckes
- Topics in random matrix theory by Tao
Non Commutative Analysis
- Intro to NC-Function Theory I
- Intro to NC-Function Theory II
- Intro to NC-Function Theory III
- NC-Rational Functions as NC-Multipliers
- Survey of the Drury Averson Space, by Michael Hartz
General Operator Theory
- Conway, J. B. (2009). A course in functional analysis.
- Gerard J. Murphy (1990). C*-Algebras and Operator Theory.
Classical Probability
- Rick Durret. (1990). Probability.
- Roman Vershynin (2018). High-Dimensional Probability
An Introduction with Applications in Data Science
- Peter Mörters and Yuval Peres. (2010). Brownian Motion
Operator Algebras,Spaces, and Systems
- Vern Paulsen. (2002). Completely Bounded Maps and Operator Algebras.
- Gilles Pisier. (2002). Introduction to Operator
Space Theory.
- OASIS: Operator Algebra Resources
More notes
- Tensor Vector spaces
- Tensor Algebras
Resources for Undergraduate
- 3Blue1Brown Youtube Channel
- ...
Resources for Graduate Students
- Writing Mathematics:
- How To Write Mathematics by Paul Halmos
- A Primer of Mathematical
Writing by Steven G. Krantz
- Speaking Mathematics:
- How To Make Presentation Slides in Beamer
- Terrence Tao Website
- Graduate School:
- Ten Lessons I Whish I Had Been Taught by Gian-Carlo Rota
- ...
- ...