Christian Kassel

Institut de Recherche Mathématique Avancée
CNRS et Université de Strasbourg
7 rue René Descartes
67084 Strasbourg, France

Course proposal

I am ready to give courses (up to roughly 10 hours) for graduate students, doctoral students, post-docs on the following topics:

• Quantum groups and their applications to low-dimensional topology
• Principal fiber bundles in noncommutative geometry
• Tensor categories arising from quantum groups
• Braid groups
• Hecke algebras, their representations and applications

or any material contained in my books on quantum groups and on braid groups or in my research articles; see my full list of publications

Contact me by email if you are interested

Past courses

In the recent past I gave the following graduate courses:

• Fibrados principales no conmutativas, 7.5 hours (in Spanish), Summer school "Geometric, topological and algebraic methods for quantum field theory", Villa de Leyva, Colombia (July 2015)
• Noncommutative principal fiber bundles, 4 hours (in English), Summer school "Selected Mathematical Topics in Quantum Mechanics and Quantum Information", Tjärnö, Sweden (September 2011)
• Representation theory, 10 hours (in English), Beijing International Center for Mathematical Research (BICMR), University of Beijing, Beijing, China (April 2011)
• Braid groups and Hecke algebras, 5 hours (in English), CIMPA school "Braids in Algebra, Geometry and Topology", Institute of Mathematics, Vietnam Academy of Science and Technology, Hanoi, Vietnam (17-28 January 2011)
• Noncommutative principal fiber bundles, 4 hours (in English), Istanbul Center for Mathematical Sciences (IMBM), Bogaziçi Üniversitesi, Istanbul, Turkey (October 2010)
• Hecke algebras and their applications, 25 hours with exams (in French), Strasbourg University (Spring 2009)
• Hecke algebras and their representations, 10 hours (in English), Sun Yat-Sen University, Guangzhou/Canton, China (October 2008)
• An introduction to quantum groups, 5 hours (in English), Fifth Annual Spring Institute on Noncommutative Geometry and Operator Algebras, Vanderbilt University, Nashville, USA (May 2007)
• Homology and cohomology of associative algebras - A concise introduction to cyclic homology, 5 hours (in English), Advanced School on Non-commutative Geometry at ICTP, Trieste, Italy (August 2004)
• Braid groups, 25 hours with exams (in French), Université Louis Pasteur, Strasbourg (Fall 2002)
• Braided categories and applications, 6 hours (in Spanish), Universidad de Chile, Santiago, Chile (January 2002)
• Braided categories, 4.5 hours (in English), CIRM, Marseille, France (June 2001)
• Quantization of Lie bialgebras, 6 hours (in French), Université de Metz, France (January 2002)
• The Yang-Baxter equation and knot invariants, 7.5 hours, Université de Nantes, France (April 1998)

(9 February 2024)