Frederick J. "Rick" Wicklin Title: Postdoctoral Fellow Dates: August 23, 1993 - September 15, 1995 Currently at: SAS Institute Inc. E-mail: fjw@geom.umn.edu Homepage: http://www.geom.umn.edu/~fjw/

Activities at the Geometry Center

Rick supervised eight undergraduate students during the Geometry Center's summer reasearch experience, and worked with female and minority students in grades 6-8. His work with middle school students led him to create an on-line teacher's guide that describes how to build a Platonic solid as a classroom project.

Background

Education

Ph.D., Applied Mathematics, 1993
Cornell University

B.S. Mathematics and Physics, 1988
Guilford College, Greensboro, NC

Professional Experience

Employment

• 8/95 to present, Assistant Professor
  School of Mathematics, University of Minnesota
  
  
• 8/93 to 8/95, Postdoctoral Research Fellow
  Geometry Center, University of Minnesota
  
  

Publications

• A. Petters and F. J. Wicklin (1995) "Caustic Phenomena in Multiple-Plane Gravitational Lensing," in preparation.
• C-H. Nien and F. J. Wicklin (1995) "Continuation Methods for Bifurcations in Planar Noninvertible Mappings," in preparation.
• F. J. Wicklin, R. Dror, and B. Johnson (1995) "Detecting High-Order Singularities of Implicitly-defined Planar Curves," in preparation.
• F. J. Wicklin (1995) "Pisces: A Platform for Implicit Surfaces and Curves and the Exploration of Singularities," Technical Report #89, The Geometry Center.
• H. Keynes and F. J. Wicklin (1995) "Education at the Geometry Center," Proceedings of the 1995 World Conference on Engineering Education.
• F. J. Wicklin (1995) "A New Method for Investigating Resonant Dynamics of Multi-frequency Mappings," submitted to Physica D.
• A. Petters and F. J. Wicklin (1995) "New Caustic Phenomena in Double-plane Lensing," Proceeding of the Australian Conference on Gravitational Lensing.
• A. Petters and F. J. Wicklin (1995) "Caustics of the Double-Plane Two Point-Mass Gravitational Lens with Continuous Matter and Shear," Monthly Notices of the Royal Astronomical Society.
• F. J. Wicklin (1995) "Maple," in Handbook of Software for Engineers and Scientists. P. W. Ross, Ed. CRC Press, Inc.
• H. Keynes and F. J. Wicklin (1995) "The Geometry Center Reaches Out," MAA FOCUS, February, 1995.
• A. Back, J. Guckenheimer, M. Myers, F. Wicklin, and P. Worfolk, (1992) "DsTool: Computer Assisted Exploration of Dynamical Systems," Notices of the AMS, 39:4, 303-309.
• J. Guckenheimer, M. Myers, F. Wicklin, and P. Worfolk, (1991) "DsTool: A Dynamical System Toolkit with an Interactive Graphical Interface," Center for Applied Mathematics, Cornell University.
• J. Marsden, O. O'Reilly, F. Wicklin, and B. Zombro, (1991) "Symmetry, Stability, Geometric Phases, and Mechanical Integrators, Parts I & II" Nonlinear Science Today 1:1, 4-11, and 1:2, 14-21.
• F. J. Wicklin, (1990) "Discrete Dynamical System and Sarkovskii's Theorem on Linearly Ordered Spaces" in Models for Undergraduate Research in Mathematics, L. Senecal (ed.), MAA Notes, number 18, 133-141.

Recent Talks and Presentations

• "Continuation of Connecting Orbits in Dynamical Systems," University of Minnesota, Fall 1995.
• "Pisces: A Platform for Implicit Surfaces and Curves and the Exploration of Singularities," University of Minnesota, Fall 1995.
• "The Computation and Visualization of Level Sets," invited lectures, Lafayette College, Bowdoin College, St. Olaf College, and Carleton College, Spring and Fall 1995.
• "Using Technology in Mathematical Research and Education," three lectures and a workshop at the University of Colorado, Boulder, October, 1994.
• "The Geometry of Resonance Regions for Coupled Oscillators," University of Minnesota, two lectures, September, 1993.
• "Visualization of Geometric Structures in Dynamical Systems," Workshop on Visualization of Geometric Structures, Berkeley, CA, October, 1992.

The Geometry Center Home Page

Comments to: webmaster@geom.umn.edu
Created: Nov 17 1995 --- Last modified: Oct 31 1997