Teaching


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Summer term 2020

High dimensional probability with applications to big data sciences

Potential Theory in the Complex Plane

Functional Analysis 2

Seminar on Gaussian Hilbert Spaces

Block seminar on category theory

Research Seminar on Free Probability

Research Seminar on Functional Analysis


Winter term 2019/2020

Random matrices

Mathematics for Natural Scientists I

K-theory of C*-algebras

Hardy spaces (M. Hartz)

Seminar on graph theory

Research Seminar on Free Probability


Summer term 2019

Non-commutative Distributions

Introduction to Noncommutative Differential Geometry

Set theory and forcing

Research Seminar on Free Probability


Winter term 2018/2019

Free probability (Freie Wahrscheinlichkeitstheorie)

Reading seminar on quantum groups and Hopf algebras

22nd Internetseminar on Ergodic Theorems

Research Seminar on Free Probability

Research Seminar on Functional Analysis


Summer term 2018

Operator algebras (Functional analysis II)

Random Matrices

Reading Seminar: A Mathematical Introduction to Modern Physics

Research Seminar on Free Probability

Research Seminar on Functional Analysis


Winter term 2017/2018

Functional Analysis

Complex Analysis II

Non-commutative (Algebraic) Geometry

Students Seminar on The Millenium Prize Problems

Research Seminar on Free Probability

Research Seminar on Functional Analysis


Summer term 2017

Complex Analysis

Students Seminar on Operators on Hilbert Spaces

Research Seminar on Free Probability

Research seminar on Functional Analysis


Winter term 2016/2017

Analysis III

Short course on noncommutative algebra

Reading course on Free Probability Theory

Research Seminar on Free Probability

Research Seminar on Functional Analysis


Summer term 2016

Analysis II

Von Neumann algebras, subfactors, and planar algebras

Leseseminar zu Quantengruppen

Research Seminar on Free Probability

Research Seminar on Functional Analysis

Preparatory math courses for studies in MINT subjects*

         (*For students within the program Studies for refugees and people entitled to political asylum)


Winter term 2015/2016

Real Analysis I

Operator Algebras

Hilbert Moduls and their Application

Research seminar / Seminar "Ramanujan graphs of all degrees"

Research Seminar on Free Probability

Research Seminar on Functional Analysis

Preparatory math courses for studies in MINT subjects*

         (*For students within the program Studies for refugees and people entitled to political asylum)


Summer term 2015

Real Analysis I

Lecture on Combinatorics and Graph Theory

Students Seminar on Operator Algebras and Free Probability

Research Seminar on Free Probability

Research Seminar on Functional Analysis


Winter term 2014/2015

Noncommutative Distributions

Research Seminar on Free Probability

Research Seminar Functional Analysis


Summer term 2014

Operator Algebras

Students Seminar on Noncommutative Function Theory (Free Analysis)

Research Seminar on Free Probability

Research Seminar Functional Analysis


Winter term 2013/2014

Functional Analysis

Random Matrices and Free Entropy

Students Seminar on Operators on Hilbert Spaces

Research Seminar on Free Probability

Research Seminar Functional Analysis


Sommer term 2013

Operator Algebras

Students Seminar on von Neumann algebras

Research Seminar on Free Probability

Research Seminar Functional Analysis


Winter term 2012/2013

Functional Analysis

Complex Analysis II

Mathematics for Biology and Chemistry

Students Seminar on Free Probability

Research Seminar on Free Probability

Research Seminar Functional Analysis


Summer term 2012

Complex Analysis

Random Matrices

C*-Algebras and K-theory

Research Seminar on Free Probability

Research Seminar Functional Analysis


Winter term 2011/2012

Real Analysis III

C*-Algebras

Research Seminar on Free Probability

Research Seminar Functional Analysis


Summer term 2011

Real Analysis II

Students Seminar Fourier Analysis

Students Seminar von Neumann Algebras

Research Seminar on Free Probability

Research Seminar Functional Analysis


Winter term 2010/2011

Real Analysis I

Students Seminar Introduction to Free Probability

Research Seminar Functional Analysis



Updated: 25 May 2020 by Tobias Mai Impressum