Resources By Branch (Selected Texts, Surveys, Video's etc)

  • Free Probability
    1. Lectures on the Combinatorics of Free Probability Theory by Nica and Speicher
    2. Free Probability and Random Matrices by Mingo and Speicher
    3. Free Probability Theory And Its Avatars by Roland Speicher
    4. Surveys of Free Probability Theory by Roland Speicher
    5. History and Overview of Free Probability by Roland Speicher
    6. Lecture Series on Free Probability by Roland Speicher
    7. Motivation for Operator-Valued-Free Probability by Roland Speicher
    8. Lecture Series on the Strong Convergence, by Ramon van Handel
    9. Brown Measures
    10. ...
  • Random Matrix Theory
    1. An Introduction to Random Matrices by Anderson, Guionnet and Zeitouni
    2. The Random Matrix Theory of the Classical Compact Groups by Meckes
    3. Topics in random matrix theory by Tao
  • Non Commutative Analysis
    1. Intro to NC-Function Theory I
    2. Intro to NC-Function Theory II
    3. Intro to NC-Function Theory III
    4. NC-Rational Functions as NC-Multipliers
    5. Survey of the Drury Averson Space, by Michael Hartz
  • General Operator Theory
    1. Conway, J. B. (2009). A course in functional analysis.
    2. Gerard J. Murphy (1990). C*-Algebras and Operator Theory.
  • Classical Probability
    1. Rick Durret. (1990). Probability.
    2. Roman Vershynin (2018). High-Dimensional Probability An Introduction with Applications in Data Science
    3. Peter Mörters and Yuval Peres. (2010). Brownian Motion
  • Operator Algebras,Spaces, and Systems
    1. Vern Paulsen. (2002). Completely Bounded Maps and Operator Algebras.
    2. Gilles Pisier. (2002). Introduction to Operator Space Theory.
    3. OASIS: Operator Algebra Resources
  • More notes
    1. Tensor Vector spaces
    2. Tensor Algebras

    Resources for Undergraduate

    1. 3Blue1Brown Youtube Channel
    2. ...

    Resources for Graduate Students

    1. Writing Mathematics:
      1. How To Write Mathematics by Paul Halmos
      2. A Primer of Mathematical Writing by Steven G. Krantz
    2. Speaking Mathematics:
      1. How To Make Presentation Slides in Beamer
    3. Terrence Tao Website
    4. Graduate School:
      1. Ten Lessons I Whish I Had Been Taught by Gian-Carlo Rota
      2. ...
    5. ...