Hendryk Pfeiffer

Research Interests

Categorification
Low-dimensional topology
Topological quantum field theories (TQFTs)
Quantum groups
Higher-dimensional algebra
Quantum gravity

Teaching

Winter 2009/10 Term 2 Calculus IV (Math 317) Section 202

Selected Publications

H. Pfeiffer:
Fusion categories in terms of graphs and relations,
Preprint arXiv:0912.0342.

H. Pfeiffer:
Finitely semisimple spherical categories and modular categories are self-dual,
Adv. Math. 221, No. 5 (2009) 1608-1652, arXiv:0806.2903.

H. Pfeiffer:
Tannaka-Krein reconstruction and a characterization of modular tensor categories,
J. Alg. 321, No. 12 (2009) 3714-3763, arXiv:0711.1402.

A. D. Lauda, H. Pfeiffer:
Open-closed TQFTs extend Khovanov homology from links to tangles,
J. Knot Th. Ramif. 18, No. 1 (2009) 87-150, arXiv:math/0606331.

A. D. Lauda, H. Pfeiffer:
State sum construction of two-dimensional open-closed Topological Quantum Field Theories,
J. Knot Th. Ramif. 16, No. 9 (2007) 1121-1163, arXiv:math/0602047, MR 2375819.

A. D. Lauda, H. Pfeiffer:
Open-closed strings: Two-dimensional extended TQFTs and Frobenius algebras,
Topology Appl. 155, No. 7 (2008) 623-666, arXiv:math/0510664, MR 2395583.

Click here for all publications.

Recent Talks

Fusion categories in terms of graphs and relations
(Columbia University, 2009/12; Stony Brook, 2009/12)

The modular categories associated with Uq(sl2) in terms of diagrams (Introduction)
(Columbia University, 2009/12)

Reconstructing algebras from monoidal categories
(University of Hamburg, 2009/06)

Two-dimensional TQFTs and extended TQFTs (Introduction)
(University of Hamburg, 2009/06)

Tannaka-Krein reconstruction and modular tensor categoriss
(ECM Satellite Conference on Noncommutative Methods, Brussels, 2008/07/23)

Two-dimensional extended TQFTs and categorification
(Oxford, 2008/07/17)

Invariants of 3-dimensional Kirby calculus and representation theory
(UBC Vancouver, 2008/03/19)

Where is the braided monoidal 2-category?
("Oporto Meeting", Faro, 2007/07/07)

Two-dimensional extended Topological Quantum Field Theories and Khovanov homology
(University of Aarhus, 2006/10/10; UBC Vancouver, 2006/11/02; University of Münster, 2006/11/15; University of Nottingham, 2007/05/22)

Two-dimensional extended Topological Quantum Field Theories and Khovanov homology
(Perimeter Institute, 2006/10/19)

Tangle homology from 2d extended TQFTs
("Categorification in Algebra and Topology 2006", Uppsala, 2006/09/07)

Two-dimensional extended Topological Quantum Field Theories and Khovanov homology
(Washington University, 2006/02/28; University of Chicago, 2006/04/14 and 2006/04/17; University of Potsdam, 2006/08/10)

Click here for more talks.

Contact

Department of Mathematics
The University of British Columbia
121-1984 Mathematics Road
Vancouver, BC, V6T 1Z2
CANADA

Phone: +1 (604) 822-9388
Fax: +1 (604) 822-6074
Email: pfeiffer(at)math.ubc.ca
Office: LSK 126E

Updated: January 1, 2010.

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