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.