My research concerns optimal geometry, and is currently supported by the NSF as award DMS-97-27859. My most recent preprints are online with extended "plain English" abstracts; many are also available in the department's new series of Research Reports.
For years, I have been creating mathematical computer graphics, now available on the web. In 1998, I produced two new mathematical videos, one on Knot Energies, and another (The Optiverse) on a new family of optimal sphere eversions.
On Tuesday 8 December at 4pm, I gave a public lecture on "The Geometry of Foams" in the department's series on Mathematics in Science and Society.
In Spring 1999, I am teaching two courses. Math 428, a graduate topics course in geometry, covers Optimal Geometry, and in particular, surfaces in space which minimize area or bending energy. Math 296 is an honors course, Geometry and the Imagination. (In Fall 1999, I will likely teach Math 430 at 11am MWF, and Math 302.)
In fall 1998, I taught Math 423, an introduction to differentiable manifolds and riemannian geometry, which is one of the new graduate core courses. In Spring 1998, I taught Math 323, for which I was put on the "Incomplete List". In Fall 1997, I taught two sections of Math 302, an introduction to nonEuclidean geometry. I have taught a wide range of previous courses.
In March 1999, with Rob Kusner, I am organizing a special session on Optimal Geometry at the AMS sectional meeting in Urbana.
Recently a group of us at UIUC got a grant from the NSF to start a Center for Process Simulation and Design here on campus. We're hiring a math postdoc to work on this project.
In 1997, I helped develop Eggmath, which brings exciting interactive mathematics (related to eggs) into the K-12 classroom through the web, with java.
I have written a few Java applets, including demonstrations of stereographic projection and parallel transport for spherical geometry. Some of my older software is also online.
I sing with the U of I Chorale, a choir of about 25 singers on campus; I have put an unofficial schedule of performances online. Sometimes I scan in some of my photos and put them online.
From 1991 through 1997 I was an Assistant Professor in the School of Mathematics at the University of Minnesota. However, in Fall 1996, I was on leave for a semester at UIUC. There were not enough students for my course "Geometry on Computers", but I plan to offer it again somewhere in the future. I visited GANG, at UMass, for the spring semester 1995. I spent six months at MSRI in fall 1993, I was a postdoc at the Geometry Center from 1990 to 1993.
I received my PhD in math at Princeton in 1990, under Fred Almgren. I received my AB from Harvard in 1985. I graduated from Princeton High School in 1981.