Resources By Branch

1. 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. ...
2. Free Probability
1. Free Probability Theory And Its Avatars by Roland Speicher
2. Surveys of Free Probability Theory by Roland Speicher
3. History and Overview of Free Probability by Roland Speicher
4. Lecture Series on Free Probability by Roland Speicher
5. Motivation for Operator-Valued-Free Probability by Roland Speicher
6. Brown Measures
7. ...
3. General Operator Theory
4. General Functional Analysis
1. Conway, J. B. (2009). A course in functional analysis. Springer.
5. Algebra
1. Tensor Vector spaces
2. Tensor Algebras
6. Topology

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
3. Terrence Tao Website
4. ...