Uwe joined the mathematics department in 2001. He earned his degrees from the University of Siegen in Germany (diploma 1985, PhD 1989, habilitation 1995). He also earned the teaching certificate for Mathematics/Physics for NRW (Germany). He spent 1989/190 as NASA scholar at Brandeis University.
Uwe’s research interests are in Geometric topology. This asks and answers questions about immersions and embeddings in manifolds, in particular link theory in manifolds and in low dimensions studies geometric and quantum invariants. He is also interested in all aspects of Quantum Computing and Mathematical Physics.
- A short survey of quantum computing. Journal of Knot Theory and it Ramifications 26, 2017, no.3, 19 pp.
- Frobenius algebras and skein modules of surfaces in 3-manifolds. Algebraic Topology – old and new, 59-81, Banach Center Publications 85, Polish Acad. Sci. Inst. Math., Warsaw, 2009
- Quantum deformations of fundamental groups of oriented 3-manifolds; Transactions of the AMS 356 (2004), 3869-3880
- Deformation of string topology into homotopy skein modules. Algebraic and Geometric Topology 3, 2003, no. 34, 1005-1035
- Link theory in manifolds. Lecture Notes in Mathematics 1669, 167 pp., Springer Verlag, Berlin 1997
Selected courses taught
- Math 275 Multivariable and Vector Calculus
- Math 305 Introduction to Abstract Algebra and Number Theory
- Math 411/511 Topology
- Math 414/514 Real Analysis
- Math 515 Real and Linear Analysis