Dr. Uwe Kaiser came to Boise State University in 2001 as a member of the faculty of the Department of Mathematics. He taught previously at the Universität Siegen in Germany, where he earned his Dr. rer. nat. degree in Mathematics in 1989. In 1998, with the required combination of scholarship and teaching experience, Dr. Kaiser qualified for the added distiction of Habilitation (Venia Legendi) in Mathematics, also earned from the Universität Siegen. Dr. Kaiser continues to pursue his research interests in the topology of manifolds, including the embeddings, immersions and singularities of maps and in particular 3-dimensional topology; the theory of knots and links, quantum topology; and related studies in homotopy theory and algebra. He is presently working on topological quantum field theories and categorification. He serves as the organizer of the Topology Seminar in the Department of Mathematics at Boise State, reviews and referees for numerous mathematical journals, and maintains memberships in professional organizations including the American Mathematical Society and Deutscher Mathematiker Verband.
Articles
Frobenius Algebras and Skein Modules of Surfaces in 3-Manifolds, Banach Center Publications (2009)
For each (commutative) Frobenius algebra there is defined a skein module of surfaces embedded in...
Link Bordism Skein Modules, Fundamenta Mathematicae (2004)
We compute link bordism skein modules of colored oriented links in oriented 3-manifolds. A Hurewicz...
Quantum Deformations of Fundamental Groups of Oriented 3-Manifolds, Transactions of the American Mathematical Society (2004)
We compute two-term skein modules of framed oriented links in oriented 3-manifolds. They contain the...
Deformation of String Topology into Homotopy Skein Modules, Algebraic & Geometric Topology (2003)
Relations between the string topology of Chas and Sullivan and the homotopy skein modules of...
Presentations of Homotopy Skein Modules of Oriented 3-Manifolds, Journal of Knot Theory and Its Ramifications (2001)
A new method to derive presentations of skein modules is developed. For the case of...
Books
Link Theory in Manifolds (1997)
Any topological theory of knots and links should be based on simple ideas of intersection...
Unpublished Papers
Deformation of Homotopy into Isotopy in Oriented 3-Manifolds (2003)
We will show that deformation quantization in skein theory of oriented 3-manifolds is induced from...
Presentations
Bar-Natan Modules and Tunneling Graphs, American Mathematical Society, Spring Western Section Meeting (2011)
We describe a general method for presentations of colimit modules of functors into module categories....
Commutative Frobenius Algebras and 3-Dimensional Compression Bordisms, American Mathematical Society, Spring Central Section Meeting (2010)
Given a commutative Frobenius algebra V over a commutative ring R with 1 we construct...
From Euler to Witten: A Short Survey of the Volume Conjecture in Knot Theory, Mathematical Association of America, Intermountain Sectional Meeting (2010)
Bar-Natan Modules and Bar-Natan Pairings of Oriented 3-Manifolds, Knots in Washington XXVII; 3rd Japan-USA Workshop in Knot Theory (2009)
We discuss sesquilinear pairings defined by Bar-Natan modules (and their generalizations using general Frobenius algebras),...