Department of Mathematics

University of Illinois at Urbana-Champaign

250 Altgeld Hall (MailCode-382)

1409 W. Green Street

Urbana, Illinois 61801-2975

Office:
326
Illini Hall

tel: +1-217-244-5930

fax: +1-217-333-9576

e-mail:
*jms@math.uiuc.edu*

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.