Summer term 2018

  • lecture Introduction to Representation Theory (B.Sci. Mathematics)
  • seminar Category Theory (M.Sci. Mathematics)

Lecture Notes

In English:

In German:

Supervision


PhD theses

Sept. 2017 - Thomas Voß
Oct. 2016 - Alexander Spies
July 2010 - Sept. 2013 Gregor Schaumann, Summa cum Laude
Duals in tricategories and in the tricategory of bimodule categories
May 2009 - Nov. 2012 Torsten Schönfeld, Magna cum Laude
Gauge fixing and classical dynamical r-matrices in (2+1)-gravity

Master theses

current Peter Guthmann, Andreas Räthe
April 2018Sebastian Halbig: The braided Hochschild homology of a transmutated Hopf algebra
Sept 2017Thomas Voß: Simplicial module algebras in Hopf algebra gauge theory
Sept 2017Hannes Scharrer: The pentagon relation in Kitaev models
Aug 2017Philipp Karg: Iterated semidirect products from Drinfeld doubles of group algebras
March 2016Alexander Spies: Poisson Structures on Fat Graphs and Poisson-Lie Group Actions
April 2014 Eva-Maria Huth: Fuchsian groups from Fenchel-Nielsen coordinates
April 2014 Roland Schnellhammer: Fundamental domains of arithmetic Fuchsian groups

Bachelor theses

  • Peter Guthmann: The Jones-Kauffman Polynomial
  • Sebastian Halbig: The Burau representation of the braid group
  • Philipp Karg: Invariants of Knots and Links
  • Stefan Nekovar: Measurements of Lightrays in the (2+1)-dimensional Torus Universe
  • Andreas Räthe: Field Constructions with Origami
  • Theresa Schmid: Basic Representation theory of bialgebras and Hopf algebras
  • Alexander Spies: Braided tensor categories
  • Florian Unger: Artin's Braid group
  • Thomas Voß: The Alexander-Conway Polynomial
  • Clemens Weiske: Knots and links as closures of braids


Teaching - Chronological

Lectures
Summer term 2018 Introduction to Representation theory, 3rd year B. Sci. Mathematics,
Department of Mathematics, University of Erlangen-Nürnberg, Germany
Winter term 2017/18 Homological Algebra, M. Sci. Mathematics
Department of Mathematics, University of Erlangen-Nürnberg, Germany
Summer term 2017 Topology, B. Sci. Mathematics
Department of Mathematics, University of Erlangen-Nürnberg, Germany
Winter term 2016/17 Hopf algebras and representations of Hopf algebras, M. Sci. Mathematics
Department of Mathematics, University of Erlangen-Nürnberg, Germany
Summer term 2016 Linear Algebra 2, 1st year Mathematics, Physics
Department of Mathematics, University of Erlangen-Nürnberg, Germany
Winter term 2015/16 Linear Algebra 1, 1st year Mathematics, Physics
Department of Mathematics, University of Erlangen-Nürnberg, Germany
Winter term 2014/15 Algebraic Topology, M. Sci. Mathematics,
Department of Mathematics, University of Erlangen-Nürnberg, Germany
Summer term 2014 Galois theory, 3rd year B. Sci. Mathematics,
Department of Mathematics, University of Erlangen-Nürnberg, Germany
Winter term 2013/14 Lie Groups, M. Sci. Mathematics,
Department of Mathematics, University of Erlangen-Nürnberg, Germany
Winter term 2012/13 Introduction to Representation theory, 3rd year B. Sci. Mathematics,
Department of Mathematics, University of Erlangen-Nürnberg, Germany
Summer term 2012 Algebraic Topology, M. Sci. Mathematics,
Department of Mathematics, University of Erlangen-Nürnberg, Germany
Geometry and Physics, M. Sci. Mathematics, together with Karl-Hermann Neeb, Department of Mathematics, University of Erlangen-Nürnberg, Germany
Winter term 2011/12 Mathematics for physicists III, 2nd year, B. Sci. Physics
Department of Mathematics, University of Erlangen-Nürnberg, Germany
Summer term 2011 Mathematics for physicists II, 1st year, B. Sci. Physics
Department of Mathematics, University of Erlangen-Nürnberg, Germany
Winter term 2010/11 Complex Analysis, 2nd/3rd year, B. Sci. Mathematics,
Department of Mathematics, Hamburg University, Germany
Winter term 2009/10Concepts and Methods of Mathematical Physics, M.Sci. Mathematical Physics,
Department of Mathematics, Hamburg University, Germany
Seminars
Summer term 2018Seminar on Category Theory, M. Sci. Mathematics, Department of Mathematics, University of Erlangen-Nürnberg, Germany
Winter term 2017/18Selected Topics in Algebraic Topology, B. Sci. Mathematics, Department of Mathematics, University of Erlangen-Nürnberg, Germany
Summer term 2017Discrete Mathematics, seminar for teaching degree students (Lehramt nicht-vertieft), Department of Mathematics, University of Erlangen-Nürnberg, Germany
Summer term 2017Elementary Geometry, seminar for teaching degree students (Lehramt nicht-vertieft), Department of Mathematics, University of Erlangen-Nürnberg, Germany
Winter term 2016/17Moduli Spaces of flat connections, M. Sci. Mathematics,
Department of Mathematics, University of Erlangen-Nürnberg, Germany
Summer term 2014Representations of Compact Lie Groups, M. Sci. Mathematics,
Department of Mathematics, University of Erlangen-Nürnberg, Germany
Knots and Braids, 3rd year, B. Sci. Mathematics,
Department of Mathematics, University of Erlangen-Nürnberg, Germany
Winter term 2013/14Algebraic topology, M. Sci. Mathematics,
Department of Mathematics, University of Erlangen-Nürnberg, Germany
Summer term 2013Hyperbolic manifolds, M. Sci. Mathematics,
Department of Mathematics, University of Erlangen-Nürnberg, Germany
Winter term 2012/13Graphs, seminar for teaching degree students (Lehramt nicht-vertieft),
Department of Mathematics, University of Erlangen-Nürnberg, Germany
Summer term 2012Numbers-Elements of Number Theory and Algebra, 1st year, B.Sci. Mathematics, Department of Mathematics, University of Erlangen-Nürnberg, Germany
Winter term 2011/12Introductory Seminar for 1st Year Students,
Department of Mathematics, University of Erlangen-Nürnberg, Germany
Summer term 2011Complex Numbers and Geometry, seminar for teaching degree students (Lehramt nicht-vertieft) ,
Department of Mathematics, University of Erlangen-Nürnberg, Germany
Oct.2009-June 2010 Graduate seminar on quantum groups for PhD and Master students,
Department of Mathematics, Hamburg University, Germany
Oct.2010-March 2011Graduate seminar on homology for PhD and Master students, Department of Mathematics, Hamburg University, Germany