Activities at the Geometry Center
Rick is leading the Pisces Project at the
Geometry Center and is involved in the creation of dynamical systems software tools. He
co-organized a conference on
computational bifurcation theory and singularity theory for the
fall of 1996. He has been heavily involved in the University of
Minnesota calculus initiative and
has created and thrice taught a new course on multivariable calculus. He has written several expository papers on the educational
activities at the Center.
Rick has supervised ten undergraduate students during the Geometry
Center's summer reasearch experience, and has 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
Rick graduated from Cornell
University in 1993 with a degree in Applied Mathematics. He has
spent summers working in industries such as Lockheed-Martin Aerospace
and the General Electric R&D Center.
Education
Ph.D., Applied Mathematics, 1993
Cornell University
B.S. Mathematics and Physics, 1988
Guilford College,
Greensboro, NC
Professional Experience
Employment
- 7/97 to present, Applications staff
Statistical Graphics and Interface,
Research and Development Division,
SAS Institute, Inc.
- 8/95 to 7/97, Assistant Professor
School of Mathematics, University of Minnesota
- 8/93 to 8/95, Postdoctoral Research Fellow
Geometry Center, University of Minnesota
Publications
- J. A. De Loera and F. J. Wicklin (1997) "On the
Need of Convexity in Patchworking," to appear,
Advances in Applied Mathematics.
- A. Petters and F. J. Wicklin (1997) "Fixed Points due to
Gravitational Lenses," to appear,
J. Math. Phys.
- C-H. Nien and F. J. Wicklin (1997)
"An Algorithm for the
Computation of Preimages in Noninvertible Mappings,"
submitted to Int. J. Bifurcation and Chaos
- H. Keynes, A. Olson, D. Shaw, and F. J. Wicklin (1996)
"Redesigning the Calculus Sequence at a Research University:
Issues, Implementation, and Objectives,"
submitted to College Math Journal.
- F. J. Wicklin (1996)
A Laboratory Approach to Calculus Using
Interactive Features of the World-Wide Web,
To appear: Proceedings of the Ninth Annual International Conference
on Technology in Collegiate Mathematics, November 7-10, 1996, Reno, Nevada.
- 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)
"Engineering Education at
the Geometry Center,"
Proceedings of the 1995 World Conference on Engineering Education.
- A. Petters and F. J. Wicklin (1995) "New Caustic Phenomena
in Double-plane Lensing," in
Astrophysical Applications of
Gravitational Lensing,
Proceedings of the 173rd Symposium of the
International Astronomical Union, Melbourne, Australia, July 9-14, 1995.
C.S. Kochanek and J.N. Hewitt, eds., Kluwer Academic Publishers, Boston.
- 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, Dec, 1399.
- 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
- (UPCOMING) "Computing Stable Sets of Noninvertible Mappings," (Invited),
SIAM Conference on Dynamical Systems, Snowbird, Utah, May, 1997.
- "Hilbert's 16th Problem and a Combinatorial Construction of Viro",
(Invited) AMS Special Session on Algebraic Combinatorics,
San Diego joint meetings of the AMS/MAA, January 1997.
- "A Laboratory Approach to Calculus Using
Interactive Features of the World-Wide Web," (Invited)
Ninth Annual International Conference on Technology in Collegiate
Mathematics, November, 1996, Reno, Nevada.
- "Numerical Detection and Resolution of Singularities in Bifurcation Surfaces",
workshop on Issues in the Computation of Bifurcations
and Singularities in Dynamical Systems, The Geometry Center,
University of Minnesota, October, 1996.
- "A Web-Based Calculus Laboratory," Joint meetings of AMS/MAA,
Summer, 1996, Seattle, WA.
- "Issues in the Computation of Stable Sets for Noninvertible Mappings,"
University of Minnesota, Spring 1996.
- "Calculus and the World-Wide Web,"
North Central Sectional Meeting of the MAA, Hamline
University, Spring 1996;
MAA contributed paper, AMS-MAA Joint Meeting, Seattle, Summer 1996.
- "Using Technology in Undergraduate Mathematics Courses,"
University of Minnesota, Fall 1995.
- "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,
Carleton College, and Guilford College, Spring and Fall 1995-1996.
- "The Geometry of Gradient Fields", invited lecture,
Guilford College, Spring 1996.
- "Using Technology in Mathematical Research and Education,"
three invited 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.
Frederick J. Wicklin <fjw@geom.umn.edu>
Last modified: Mon Feb 3 09:18:42 1997