Teaching Schedules Fall 2008
Student Project Showcase Opportunities:
Annual MAA Sectional Meeting Student Poster Session
Annual Northern California Undergraduate Mathematics Conference
Sample Student Project Presented by Susan Aten & Diana Zaccari and Pictures of the Poster
Research Interests
- Knot theory and Low-dimensional Topology
- Skein Theory, Topological Quantum Field Theory
- Geometric Topology, Computational Geometry
- Mathematics Education
Selected Publications
q An Algorithm to Compute the Kauffman Polynomial of 2-bridge Knots, (with B. Lu), to appear, the ROCKY MOUNTAIN JOURNAL OF MATHEMATICS.
q The Yang-Mills Measure on the SU(3)-Skein Modules, (with Charles Frohman) to appear, Journal of Knot Theory and its Ramifications .
q The Kauffman Polynomials of Pretzel Knots, Journal of Knot Theory and its Ramifications, Vol. 17, No. 2 (2008) 157-169 .
q A 2-chain can interlock with a 11-chain, (with J. Glass, B. Lu, J. O'Rourke), Geombinatorics (2006), Volume XV, paper no. 4, 166-176.
q Incorporating the Henstock Integral in Calculus Curriculum, (with B. Lu), Proceedings of ICM 2002 Satellite Conference of the Reform of Mathematics Curriculum and Its Education in the 21st Century, Chongqing, China, (2005) page 223-230, Chongqing Publishing House.
q A 2-chain can interlock with a k-chain, (with J. Glass, S. Langerman, J. O'Rourke, J. Snoeyink), the Workshop Proceedings for the 14th Annual Fall Workshop on Computational Geometry at Massachusetts Institute of Technology, Cambridge, Massachusetts, Nov. 2004, page 18-19.
q The Kauffman Skein Module of a connected sum of 3-manifolds, Topology and its Applications 139 (2004) 113–128.
q On the Kauffman Skein Modules. (with B. Lu), Manuscripta Mathematica, 109 (2002) 1, 29-47.
q The Kauffman Polynomials of the Generalized Hopf Links, (with B. Lu), Journal of Knot Theory and its Ramifications, Vol. 11 No.8 (2002), 1291-1306.
q The Homflypt Skein Module of a connected sum of 3-manifolds. (with P. Gilmer), Algebraic and Geometric Topology, Volume 1 (2001), paper no. 32, 605-626.
q On the Homflypt skein module of S1 x S2. (with P. Gilmer), Math. Zeit, vol 237, 769-814, 2001.
q
Homflypt Skein Modules, Ph.D Dissertation,