Up: Geometry Center Alumni
Activities at the Geometry Center
Bob's primary activity at the Geometry Center was the development
and implementation of course materials for the calculus classroom. He
taught a multivariable calculus course at the Geometry Center
through the University of Minnesota Talented Youth Mathematics Program
(UMTYMP). The students use the technological resources of the Center
in an interactive and geometric exploration of calculus. Bob also
developed hypertext laboratory materials for use in the
University of Minnesota's Institute of Technology firstyear calculus
course.
In the summer of 1996, Bob and
Patrick Worfolk sponsored
two undergraduates,
Molly
Megraw and Chris
Sinclair, in a research project in dynamical systems aimed at
understanding and
visualizing periodic orbits and their stable and unstable manifolds in
the restricted threebody problem.
Bob and Patrick also developed the
SaVi program for
visualizing and analyzing satellite constellations.
Bob's mathematical research falls under the umbrella of
singlevariable complex analysis. In his thesis he considers some
extremal problems for the logarithmic capacity of compact sets in the
plane. Now he's working on a physical interpretation (in terms of
electrostatics) of these extremal solutions.
Background
Bob received a B.A. in Mathematics and B.S. in Computer Science in 1986
from the University of Missouri. He went on to the University of
Illinois at UrbanaChampaign, where he got an MS in Mathematics in
1988. He then spent two years working for the Jet Propulsion
Laboratory in Pasadena, California. In 1990 he resumed graduate
studies in mathematics at the University of Michigan. He graduated
from there with a Ph.D. in May, 1995, and joined the Geometry Center
staff the following September.
Education
 PhD in Mathematics, 1995
University of Michigan, Ann Arbor, Michigan
Dissertation: Extremal Problems for Logarithmic Capacity and Extremal
Length
Dissertation Advisor: Prof. Peter L. Duren
MS in Mathematics, 1988
University of Illinois, Urbana, Illinois
BA in Mathematics, BS in Computer Science, 1986 (summa cum laude)
University of Missouri, Columbia, Missouri
Professional Experience

Employment
 September 1995  August 1997: Postdoctoral Fellow
Geometry Center
University of Minnesota
 19901994: Graduate Teaching and Research Assistant
Department of Mathematics
University of Michigan, Ann Arbor, Michigan
 19921994: Undergraduate Mathematics Counselor
Office of Academic Advising, College of LS & A
University of Michigan, Ann Arbor, Michigan
 19881990: Computer Programmer
Jet Propulsion Laboratory/NASA, Pasadena, California
 19861988: Graduate Teaching Assistant
Department of Mathematics
University of Illinois, Urbana, Illinois
Publications
 Maximal distortion of capacity under conformal mapping,
Trans. Amer. Math. Soc.,
Volume 346, Number 2, December, 1994, pp 605616.
 Bridged extremal distance and maximal capacity,
Pacific J. Math., to appear.
 Physical interpretation and further properties of Robin
capacity, with P. Duren and J. Pfaltzgraff,
Algebra i Analiz (=St. Petersburg Math. J.), to appear.
 Maximal capacity, Robin capacity, and minimum energy,
submitted to Indiana Math. J.
Talks
 Maximal distortion of capacity under conformal mapping,
Special session on Quasiconformal mappings, Joint
Meetings of the AMS and MAA, Cincinnati, Ohio, January, 1994.
 Bridged extremal distance and maximal capacity,
Geometric Function Theory seminar, University of Cincinnati
Department of Mathematics, October, 1994.
 Bridged extremal distance and maximal capacity,
Special session on Geometric function theory, Joint
Meetings of the AMS and MAA, San Francisco, California, January,
1995.
 A minimum energy view of Robin capacity,
Wahington University (St. Louis) Department of Mathematics
colloquium, February, 1996.
 Maximal capacity, Robin capacity, and minimum energy,
Summer school in Conformal Geometry, Segovia, Spain, June, 1996.
Up: Geometry Center Alumni
The Geometry Center Home Page
Comments to:
webmaster@geom.umn.edu
Created: Nov 19 1995 
Last modified: Oct 31 1997