Winter term 2017/18

  • lecture Homological Algebra (M.Sci. Mathematics)
  • seminar Selected Topics in Algebraic Topology (B.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 Sebastian Halbig, Hannes Scharrer, Thomas Voss, Peter Guthmann
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
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
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