Research Interest:

My research interests are in the area of geometric topology and low-dimensional manifolds; in particular, 3-manifolds and knot theory. In recent year I have been working on problems concerning Dehn surgery on knots and links, 2-handle additions, and incompressible surfaces in 3-manifolds.

Here is my curriculum vita and a list of publications and preprints.

Teaching (Fall 2003):

22M203: Topology of Manifolds


Syllubus.

22M130: General Topology


Syllubus.
Grades: | Comprehensive | homework |

Service:

Advisory board member, Topology and its Application.


I am no longer a managing editor for the journal. Darren Long at UC Santa Barbara is the current managing editor for the journal in the area of low dimensional topology.

Computer Programs:

"MING" is a computer program used to minimize MD-energy of polygonal knots, reduce number of edges, and draw/visualize their 3-dimensional pictures. It was written in C++, OpenInventor, and Motif.

Some math sites

Low-dimensional topology page created by Mark Brittenham.
KnotPlot of Rob Scharein. It has lots of beautiful pictures of knots and links.
AMS e-MATH Home Page
MathSciNet Search
e-Print Math Archive