A man walks into a diner and orders a cup of coffee. Upon being served he turns to the waiter and says "Waiter, there's a nephroid in my cup." The waiter looks into the cup and says, "That's not a nephroid, that's the singular fold curve of an algebraic variety."(Okay, so it's not

Rick is also interested in educational issues at the K-12 level, and
in the exposition of mathematics to the general public (for example,
see Rick's article in
*MAA FOCUS* and his article on
engineering education). He sees geometry and interactive
graphical software as an important component of both of these areas.
During the summer of 1994, Rick developed curriculum for a summer
enrichment program for 6-8th grade students from populations that are
traditionally underrepresented in mathematics. As part of this summer
program, the students constructed the world's largest
icosahedron. Rick has created an on-line teacher's guide that
describes how to build a Platonic solid as a classroom project.

- Wicklin/DeLoera, On the Need of Convexity in Patchworking, Advances in Applied Mathematics, 1998.
- Wicklin/Petters, Fixed Points due to Gravitational Lenses, J. Math. Phys., 1998.
- Wicklin/Nien, An Algorithm for the Computation of Preimages in Noninvertible Mappings, Int. J. Bifurcation and Chaos, 1998.

With Jesús de Loera, Rick has used Pisces as a platform for implementing an algorithm (due to O. Ya. Viro) that constructs combinatorial models of algebraic curves. They are using this tool to explore the topology of algebraic curves (Hilbert's sixteenth problem).

A related interest is the mathematical modeling of gravitational lensing. Rick is currently trying to understand (with A. Petters, Princeton) the geometry of gravitational lensing when there are several lensing objects between the source and the observer.

Rick is one of the authors of DsTool, a widely-used interactive toolkit for the exploration of dynamical systems. He recently (Oct, 1996) organized a Workshop on Issues in the Computation of Bifurcations and Singularities in Dynamical Systems; this workshop was attended by 50 of the top researchers in computational bifurcation theory.

For a complete list of Rick's research publications, see his curriculum vita.

In his spare time,
Rick likes to climb mountains and go cross-country skiing with his wife,
Nancy. He wishes
that Minnesota had more mountains, but at least the ski trails are good!
He finds it interesting that God never received tenure in
a university.

Last modified: Mon Jun 30 13:42:46 1997Rick Wicklin <fjw@geom.umn.edu> The Geometry Center 1300 South Second Street Minneapolis, MN 55454 (612) 626-8308

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