Up: Geometry Center Staff
Activities at the Geometry Center
As technical staff manager, Mark coordinates the technical staff and
equipment resources of the Geometry Center. This involves estimating
the technical needs of possible future projects, allocating staff and
equipment to current projects, tracking staff time spent on projects,
hiring new staff, and planning and managing the Center's computer
software and hardware environment. He also is actively involved in
some of the projects himself. In particular, he serves as the software
engineer for the Pisces project.
Mark was one of the authors of
Geomview,
the Center's 3D visualization
system. In addition to working on the design and implementation of
the core of the program, he wrote the parser for the Geomview command
language, which allows Geomview to communicate with other software.
He also wrote the Geomview user's manual. As a member of the
technical staff, he has contributed to many of the Center's technical
needs, including consulting with visitors, providing support for
workshops and conferences, and organizing the Center's equipment and
software.
Background
Mark received his BS in mathematics in 1982 from Davidson College in
Davidson, NC. He attended graduate school at Rensselaer Polytechnic
Institute in Troy, NY, where he obtained an M.S. in applied
mathematics in 1984, and then the University of Maryland, where he
graduated with a Ph.D. in mathematics in 1990. His thesis was on
visual aspects of complex hyperbolic geometry. He spent one year on
the faculty of the math department at the University of Richmond in
Richmond, VA, and then joined the staff of the Geometry Center in July
of 1991.
Education

Ph.D. in Mathematics, 1990
University of Maryland, College Park, Maryland
Dissertation: Dirichlet Polyhedra in Complex
Hyperbolic Space
Dissertation Advisor: Dr. William M. Goldman
M.S. in Applied Mathematics, 1984
Rensselaer Polytechnic Institute, Troy, New York
Master's Project: PHASE: A Computer Program for Generating
ThreeDimensional Phase Space Diagrams of Ordinary Differential
Equations.
Master's Advisor: Dr. Garrett M. Odell
B.S. in Mathematics, 1982 (magna cum laude)
Davidson College, Davidson, North Carolina
William G. McGavock Mathematics Award
Professional Experience

Employment
 July 1991  December 1994, Technical Staff
January 1995  present, Technical Staff Manager
Geometry Center
University of Minnesota
 1990  1991: Assistant Professor of Mathematics
Mathematics and Computer Science
University of Richmond, Virginia
 1984  1990: Graduate Teaching and Research Assistant
Department of Mathematics
University of Maryland, College Park, Maryland
 1985 (Spring and Summer): Instructor
Department of Mathematical Sciences
University of Alaska, Fairbanks, Alaska
 1982  1984: Research Assistant
Center for Interactive Computer Graphics
Renssealaer Polytechnic Institute
Publications
 (with Silvio Levy and Tamara Munzner)
Geomview: An Interactive Geometry Viewer,
Notices of the American Mathematical Society,
October, 1993, pp 985988.
 Dirichlet Polyhedra for Cyclic Groups in Complex Hyperbolic
Space, Proceedings of the American Mathematical
Society, Volume 115, Number 1, May 1992.
 (with Charles Gunn)
Visualizing Hyperbolic Space: Unusual Uses of 4 x 4
Matrices, Proceedings of the 1992 Symposium on
Interactive 3D Graphics, ACM SIGGRAPH, March 1992.
 Mathematica as an Interface to an Interactive Mathematical
Graphics Program, The Mathematica Journal,
Vol 1 No 2, Fall 1990.
 (with G. M. Odell) An Algorithm for Locating and
Displaying the Intersection of Two Arbitrary Surfaces,
IEEE Computer Graphics and Applications, Vol. 4
No. 9, September 1984, pp 4856.
Other Works
 (with Leonidas Palios)
Tetrahedral Breakup,
Animation of Algorithms: A Video Review,
DEC Systems Research Center,
Palo Alto, CA,
June, 1992.
 Complex Hyperbolic Kleinian Groups, computer graphics
videotape, October 1990, 13 min. This tape was shown on
October 20, 1990 at a meeting of the American Mathematical
Society in Amherst, Massachusetts.
 A Tour of Heisenberg Space, computer graphics videotape,
June 1990, 19 min.
 HEISENBERG, an interactive computer program for exploring
Heisenberg geometry, 1990.
 Complex Hyperbolic Space, computer graphics videotape,
November 1989, 13 min.
 HYPERCAD, an interactive computer program for exploring
hyperbolic geometry, 1989.
 VIEWWLD, an interactive 3D visualization program for Sun
workstations, 1988.
 The Double Torus Unfolded, computer graphics film.
August 1984, 60 sec.
Talks
 Computer graphics as a visualization tool in mathematics
Workshop on Systems Administration: The Mathematician's
Perspective, Geometry Center, December 1994.
 Software tools for visualization at the Geometry
Center. SIAM Annual Meeting, San Diego, July 1994.
 Interactive RealTime Software for Mathematical
Visualization; coorganized this special session,
with George Francis and Norbert Quien, at the joint
meeting of AMS and German Mathematical Society,
Heidelberg, Germany, October 1993.
 Geomview: an interactive geometry viewer.
Experimental Mathematics seminar at University of Bonn,
Germany, October 1993.
 Visualizing nonEuclidean geometry.
DEC Systems Research Center, Palo Alto, CA,
April 1993.
 Life in nonEuclidean space.
St. Olaf College, Northfield, MN,
April 1993.
 Communicating geometry: ideas and tools.
National Council of Teachers of Mathematics meeting,
Minneapolis, MN, November 1992.
 Geomview.
MSRI Workshop on Visualization of Geometric Structures,
Berkeley, CA, October 1992.
 Visualizing hyperbolic space.
Mathematics Seminar, University of Massachusetts at Dartmouth,
March 1992.
 Visualizing hyperbolic space.
ACM SIGGRAPH Symposium on Interactive Computer Graphics,
Boston, MA, March 1992.
 Interactive 3D Graphics. Several presentations at
workshop on Scientific Visualization Environments/IEEE
Visualization Conference, San Diego, October 1991.
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Created: Nov 29 1995 
Last modified: Feb 19 1996