Winter term 2018/19
- lecture Algebra (B.Sci. Mathematics)
- seminar Algebraic Topology (M.Sci. Mathematics)
Lecture Notes
In English:
- Algebraic Topology
- Concepts and Methods of Mathematical Physics
- Geometry and Physics (with Karl-Hermann Neeb)
- Homological Algebra
- Hopf Algebras
In German:
- Einführung in die Darstellungstheorie (Introduction to representation theory)
- Körpertheorie (Galois theory)
- Lineare Algebra 1 und 2 (Linear Algebra 1 and 2)
- Topologie (Topology)
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 | Andreas Räthe |
August 2018 | Peter Guthmann: The tricategory of formal composites and its strictication |
April 2018 | Sebastian Halbig: The braided Hochschild homology of a transmutated Hopf algebra |
Sept 2017 | Thomas Voß: Simplicial module algebras in Hopf algebra gauge theory |
Sept 2017 | Hannes Scharrer: The pentagon relation in Kitaev models |
Aug 2017 | Philipp Karg: Iterated semidirect products from Drinfeld doubles of group algebras |
March 2016 | Alexander 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
- Matthias Bauer: The Fiber Transport Functor
- Andreas Grigorjew: Applications of the Theorem of Borsuk-Ulam
- Nikolay Iakovlev: Classification of Compact Surfaces
- Magdalena Maximiuc: Fiber bundles
- 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 2018/19 | Algebra, 2nd/3rd year B. Sci. Mathematics,
Department of Mathematics, University of Erlangen-Nürnberg, Germany |
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 2009/10 | Concepts and Methods of Mathematical Physics, M.Sci. Mathematical Physics, Department of Mathematics, Hamburg University, Germany |
Seminars | |
Winter term 2018/19 | Seminar on Algebraic Topology, M. Sci. Mathematics, Department of Mathematics, University of Erlangen-Nürnberg, Germany |
Summer term 2018 | Seminar on Category Theory, M. Sci. Mathematics, Department of Mathematics, University of Erlangen-Nürnberg, Germany |
Winter term 2017/18 | Selected Topics in Algebraic Topology, B. Sci. Mathematics, Department of Mathematics, University of Erlangen-Nürnberg, Germany |
Summer term 2017 | Discrete Mathematics, seminar for teaching degree students (Lehramt nicht-vertieft), Department of Mathematics, University of Erlangen-Nürnberg, Germany |
Summer term 2017 | Elementary Geometry, seminar for teaching degree students (Lehramt nicht-vertieft), Department of Mathematics, University of Erlangen-Nürnberg, Germany |
Winter term 2016/17 | Moduli Spaces of flat connections, M. Sci. Mathematics, Department of Mathematics, University of Erlangen-Nürnberg, Germany |
Summer term 2014 | Representations 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 2013/14 | Algebraic topology, M. Sci. Mathematics, Department of Mathematics, University of Erlangen-Nürnberg, Germany |
Summer term 2013 | Hyperbolic manifolds, M. Sci. Mathematics, Department of Mathematics, University of Erlangen-Nürnberg, Germany |
Winter term 2012/13 | Graphs, seminar for teaching degree students (Lehramt nicht-vertieft), Department of Mathematics, University of Erlangen-Nürnberg, Germany |
Summer term 2012 | Numbers-Elements of Number Theory and Algebra, 1st year, B.Sci. Mathematics, Department of Mathematics, University of Erlangen-Nürnberg, Germany |
Winter term 2011/12 | Introductory Seminar for 1st Year Students, Department of Mathematics, University of Erlangen-Nürnberg, Germany |
Summer term 2011 | Complex 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 2011 | Graduate seminar on homology for PhD and Master students, Department of Mathematics, Hamburg University, Germany |