# Current Lectures

As visiting professor at University of Alberta: Complex Analysis **WS 2021**

**Previous Semesters:**

- Lecture: "Gruppen, Permutationen und der Rubik Würfel" (for Teachers)
**SS 2021** - Lecture: "Representations of Groups and applications in mathematical physics" (for Master Mathematics and Mathematical Physics)
**SS 2021** - Lecture: Algebra 1 (for Teachers)
**WS 2021** - Lecture: Tensor Categories, Quantum Groups, and Topological Quantum Field Theories
**WS 2021** - Lecture: Mathematics 2 for Physics, Geoscience, Oceanography, Meteorology
**SS 2021** - Lecture: Mathematics 1 for Physics, Geoscience, Oceanography, Meteorology
**WS 2020** - Block seminar: "Vertex Algebras, Tensor Categories, Quantum groups"
**SS 2019** - Seminar: "Representation theory and conformal field theory"
**WS 2019** - 2-Week Preparation Course: "Bachelor Mathematics"
**WS 2019** - Seminar: (for teachers) "Elementare Zahlentheorie
**" SS 2019** - Seminar: "Algebra and tensor categories"
**SS 2019** - Seminar: (for teachers) "Elementare Gruppentheorie"
**SS 2018** - Seminar "Presentation Skills"
**SS 2018** - Semiar "p-adic Analysis and the Zeta-Function"
**SS 2018** - Lecture "Elliptic Curves and Modular Forms"
**WS 2017/18**. - Lecture "Funktionentheorie"
**SS 2017**. Standard lecture in complex analysis for Bachelor. Topics are complex differentiability, contour integration, Cauchy integral formula, power series expansion, outlook on Riemann surfaces. - Seminar: Root Systems and Lie Algebras Topics are the classification of finite root systems, Weyl groups, semisimple Lie algebras, highest weight modules.
- Seminar Finite Groups And Their Representations
**WS 2014/15**Introduction to the theory of groups and basic representation theory. The main part of the seminar is on character theory. Special emphasis is put on Lie groups over finite fields. - Diploma-Thesis "Game-Theory of the Stock Market", Lisa Kraus,
**7.12.2011**. The influence of mutual ownership to the matrix of a given game shall be analysed with methods from statistical physics and an isomorphy to variations of the Ising model proven (especially we observe a phase transition for high connectivity). - Course "Finite Groups and their Nichols algebras",
**SS 2011**. An introduction to current research and examples in the classification of Nichols algebras with emphasis on groups theory (no Hopf algebra background necessary). - Seminar "Game theory with many players",
**WS 2010/11**. We treat applications of the techniques in statistical physics to game theory in the limit of many players. - Diploma-Thesis "Anyonenmodels from Hopf algebras aus Hopf Algebren", Karolina Vocke,
**24.12.2010**. Work-Out of explicit formulae for characters and fusion rules for the twisted group double (a quasi-Hopf algebra) by introducing projective Yetter-Drinfel'd modules (in the sense of non-proper action) - Course "Hopf Algebras Generating Fusion Rings And Topological Invariants",
**SS 2010**. A basic introduction to Hopf algebras with a strong emphasis to theoretical physics. Climax is the construction of the Dijkgraaf-Witten-Topological Field Theories. Incl. Lecture Notes.