For a complete list of my papers, and publication information for the ones here, please see my Annotated Bibliography.

If you have access to the AMS MathSciNet, you can retrieve the Math Reviews of my papers.

Some of the papers below are also available (in more formats) from the eprint arXiv maintained by LANL.

Some of these papers are also available through the UIUC Math Dept's series of Research Reports.

- On the Minimum Ropelength of Knots and Links, with Jason Cantarella and Rob Kusner; Sep 9, 1999; revised Mar 30, 2001
- The Second Hull of a Knotted Curve, with Jason Cantarella and Greg Kuperberg and Rob Kusner; May 5, 2000; revised Apr 4, 2002
- Tight Knot Values Deviate from Linear Relations, with Jason Cantarella and Rob Kusner; Sep 21, 1997
- On Distortion and Thickness of Knots, with Rob Kusner; Nov 14, 1996, revised Jan 17, 1997
- Möbius-Invariant Knot Energies, with Rob Kusner; Oct 31, 1997

- Tomographic Imaging of Foam, with Fetterman, Tan, Ying, Stack, Marks, Feller, Cull, Munson, Thoroddsen and Brady; Aug 28, 2000
- Foam Evolution: Experiments and Simulations; Aug 9, 2000
- New Tetrahedrally Close-Packed Structures; Jun 2, 2000; revised Sep 14, 2000
- The Geometry of Bubbles and Foams; Sep 12, 1997; revised Nov 2, 1997
- Open Problems in Soap Bubble Geometry, with Frank Morgan; collected August 1995

- Making "The Optiverse": A Mathematician's Guide to AVN, a Real-Time Interactive Computer Animator; with George Francis and Stuart Levy; 2001.
- "The Optiverse" and Other Sphere Eversions; May 3, 1999
- Computing Sphere Eversions, with George Francis and Chris Hartman; Aug 21, 1997, revised Oct 1, 1997
- The Minimax Sphere Eversion, with George Francis, Rob Kusner, Ken Brakke, Glenn Chappell, and Chris Hartman; 1996.

- Triunduloids: Embedded Constant Mean Curvature Surfaces with Three Ends and Genus Zero; with Karsten Große-Brauckmann and Rob Kusner; Jan 12, 2001; revised Mar 2, 2001
- Constant Mean Curvature Surfaces with Three Ends, with Karsten Große-Brauckmann and Rob Kusner; Mar 16, 1999
- Constant Mean Curvature Surfaces with Cylindrical Ends, with Karsten Große-Brauckmann and Rob Kusner; Jul 27, 1997

- Cubic Polyhedra, with Chaim Goodman-Strauss, May 11, 2002.
- Rescalable Real-Time Interactive Computer Animations, Jan 12, 2001.
- Dynamic Skin Triangulation, with Cheng, Dey and Edelsbrunner; Jul 12, 2000; revised Jan 6, 2001.
- Generating and Rendering Four-Dimensional Polytopes; 1990.
- A Crystalline Approximation Theorem for Hypersurfaces; October 1990.
- Computing hypersurfaces which minimize surface energy plus bulk energy; January 1993.
- Sphere Packings Give an Explicit Bound for the Besicovitch Covering Theorem; June 1994.