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 1	no teaching
Winter 2008/09 Term 2	Integral Calculus with Applications to Life Sciences (Math 103) Section 201
	Calculus IV (Math 317) Section 201
Winter 2007/08 Term 2	Calculus IV (Math 317) Section 202
Winter 2007/08 Term 1	Calculus IV (Math 317) Section 101
Winter 2006/07 Term 2	Calculus IV (Math 317) Section 201

Selected Publications

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.

H. Pfeiffer:
2-Groups, trialgebras and their Hopf categories of representations,
Adv. Math. 212, No. 1 (2007) 62-108, arXiv:math/0411468, MR 2319763.

Click here for all publications.

Recent Talks

Getting modular categories ready for categorification
(PIMS, 2008/09/02)

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)

Modular tensor categories from finite-dimensional algebras
(UBC Vancouver, 2007/04/30; University of Bielefeld, 2007/06/29)

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) 822-3783
Fax:	+1 (604) 822-6074
Email:	pfeiffer(at)math.ubc.ca
Office:	MATX 1215 (Mathematics Annex)

Updated: September 17, 2009.