Gareth E. Roberts
Education
BOSTON UNIVERSITY, Boston, MA. Ph.D. in Mathematics, May, 1999.
OBERLIN COLLEGE, Oberlin, Ohio. B.A. in Mathematics, high honors, May,
1992.
Research Interests
Dynamical Systems, Hamiltonian Dynamics, Differential Equations, Celestial Mechanics,
Complex Dynamics
Dissertation:
Existence and Stability of Relative Equilibria in the
N-Body Problem
Advisor: Glen Hall
Honors and Awards
Charles and Rosanna Batchelor Ford Foundation Grant, College of the Holy
Cross, 2002.
NSF VIGRE Postdoctoral Fellowship, University of Colorado at Boulder, 1999-2001.
Outstanding Teaching Fellow Award, Boston University, 1998.
Presidential University Graduate Fellowship, Boston University, 1994.
Rebecca Cary Orr Memorial Prize in Mathematics, Oberlin College, 1992.
Phi Beta Kappa, Oberlin College, 1992.
Publications
- Linear Stability of the Elliptic Lagrangian Triangle Solutions in the
Three-Body Problem. Journal of Differential Equations 182,
191-218, 2002.
- Drift by Coupling to an Anti-Integrable Limit. R. W. Easton, J. D. Meiss,
and G. Roberts. Physica D 156, 201-218, 2001.
- Dynamical Convergence of Polynomials to the Exponential.
C. Bodelón, R. Devaney, L. Goldberg, M. Hayes, J. Hubbard
and G. Roberts. Journal of Difference Equations and Applications
6, 275-307, 2000.
- Linear Stability in the 1+n-gon Relative Equilibrium.
Hamiltonian Systems and Celestial Mechanics (HAMSYS-98),
World Scientific Monograph Series in Mathematics, vol. 6,
303-330, 2000.
- Spectral Instability of Relative Equilibria in the Planar N-Body Problem.
Nonlinearity 12, 757-769, 1999.
- A Continuum of Relative Equilibria in the 5-Body Problem.
Physica D 127, Nos. 3-4, 141-145, 1999.
- Hairs for the Complex Exponential Family. C. Bodelón, R. L. Devaney, L. Goldberg,
M. Hayes, J. Hubbard and G. Roberts. Intl. J. of Bifurcation and Chaos
9, No. 8, 1517-1534, 1999.
- Newton's vs. Halley's Method: A Dynamical Systems Approach. To appear in the
International Journal of Bifurcation and Chaos.
- Some Counterexamples to a Generalized Saari's Conjecture. Submitted to
the Transactions of the American Mathematical Society.
Invited Talks
Saari's Conjecture for a Certain Class of N-Body Problems
- Dynamical Systems Seminar, Boston University, 2003.
- Departmental Research Seminar, College of the Holy Cross, 2003.
Some Counterexamples for a Generalized Saari's Conjecture
- Equadiff 2003, Hasselt, Belgium, 2003.
Central Configurations and Their Importance in the N-Body Problem
Approach
- Colloquium, Department of Mathematical Sciences, Montclair State University, 2003.
- Departmental Research Seminar, College of the Holy Cross, 2002.
When Numerical Methods Fail: A Dynamical Systems
Approach
- New Directions in Dynamical Systems, Kyoto University, Kyoto, Japan, 2002.
- Pi Mu Epsilon Colloquium, College of the Holy Cross, 2002.
Linear Stability of the Elliptic Lagrangian Triangle
Solutions in the Three-Body Problem
- Southwest Dynamics Workshop, University of Southern California, 2000
- Dynamical Systems Seminar, Boston University, 2000
Stability of Elliptic Periodic Orbits in the N-Body Problem
- International Conference on Dynamical Systems and Differential Equations, Kennesaw State University, 2000
- Colloquium in Applied Mathematics, University of Colorado at Boulder, 2000
- Seminar in Dynamical Systems, University of Colorado at Boulder, 2000
- Midwest Dynamical Systems Conference, University of Florida at Gainesville, 2000
- Seminar in Dynamical Systems, University of Colorado at Boulder, 1999
Existence and Stability of Relative Equilibria in the N-Body
Problem
- Equadiff 99, Berlin, Germany, 1999
- Special Seminar in Celestial Mechanics, Astronomie et Systèmes Dynamiques, Bureau des Longitudes, Paris, France, 1999
- Dynamical Systems Seminar, Boston University, 1999
- Special Seminar in Applied Mathematics, University of Colorado at Boulder, 1999
Interesting Families of Central Configurations
- International Conference on Celestial Mechanics, Northwestern University, 1999
- Tufts-UMass/Lowell-Northeastern Dynamics Seminar, Northeastern University, 1999
Stability of Periodic Solutions in the N-Body Problem: Rings, Kings and other
fun Things
- Bloomsburg University, 1999
- Colgate University, 1999
- Connecticut College, 1999
Hairs for the Complex Exponential and Polynomial Families
- Seminar in Applied Mathematics, University of Colorado at Boulder, 1999
Relative Equilibria in the N-Body Problem
- Third International Symposium on Hamiltonian Systems and Celestial Mechanics, Patzcuaro, Mexico, 1998
- Semi-annual Dynamical Systems and Related Topics Workshop, Penn State University, 1998
- Dynamical Systems Seminar, Boston University, 1998
The Reform Course in Differential Equations: A Teaching Fellow's Perspective
Workshops on teaching Differential Equations with a Dynamical Systems perspective:
- DePaul University, 1997
- Davidson College, 1997
Teaching Experience
INSTRUCTOR, UNIVERSITY OF COLORADO at BOULDER, 1999 - 2001.
- Taught Calculus III for Engineers (large lecture class). Supervised graduate TA's,
maintained course webpage and supplemented teaching with computer presentations.
- Taught Linear Algebra course entitled ``Matrix Methods and Applications'' (small size class).
Prepared all lectures, homework assignments and exams. Wrote computer lab projects in MATLAB
to enhance student learning.
- Supervised undergraduate research in Complex Dynamics.
TEACHING FELLOW, BOSTON UNIVERSITY, 1995-1999 (7 semesters).
- Lectured in class, taught discussion sections, held office hours, tutored, and
graded exams/labs for Calculus I and Differential Equations.
- Extensive use of both graphing calculator and computer in the classroom.
INSTRUCTOR, BOSTON UNIVERSITY SUMMER SCHOOL, 1996.
- Taught Linear Algebra to sophomore-level college students.
- Prepared all lectures, homework assignments and exams.
INSTRUCTOR, THE HUN SCHOOL OF PRINCETON, 1992-1994.
- Taught Algebra I and II, Geometry and Precalculus to secondary school
students. Prepared all lectures, homework assignments and exams.
- Coached soccer and baseball teams.
- Provided leadership and guidance to students as a residential advisor.
Professional Experience
REFEREE for papers in:
- Proceedings of the American Mathematical Society
- SIAM Journal on Mathematical Analysis
- Celestial Mechanics and Dynamical Astronomy
- Mathematical Reviews
TEXTBOOK PROJECT MANAGER, BOSTON UNIVERSITY, 1995-1997.
- Supervised the production of text and pictures for the textbook Differential Equations,
Blanchard, Devaney and Hall.
- Led a team of graduate students on NSF grant and contributed and edited solutions
to exercises.
- Assisted in the running of two
workshops on teaching differential equations with a dynamical systems perspective
at DePaul University and Davidson College, 1997.
Computer Experience
- LATEX
- TEX
- Mathematica
- MATLAB
- Unix
- Pascal
References
Jim Curry
Applied Math Department
University of Colorado, Boulder
curry@colorado.edu
Bob Devaney
Mathematics Department
Boston University
bob@math.bu.edu
Bob Easton
Applied Math Department
University of Colorado, Boulder
easton@colorado.edu
Glen Hall
Mathematics Department
Boston University
rockford@math.bu.edu
Jim Meiss
Applied Math Department
University of Colorado, Boulder
jdm@colorado.edu
Don Saari
Department of Mathematics
University of California, Irvine
dsaari@uci.edu
Miscellaneous
Jazz piano, soccer, ultimate frisbee.
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