James W. Swift
Curriculum Vitae
Education
1978-1984 University of
Ph.D.
in Physics (December 1984)
Dissertation: “Bifurcation and Symmetry in Convection”
Research
Advisor: Edgar Knobloch
1974-1978 University of
B.A.
in Physics (September 1978)
Awarded
Highest Honors in the Major
Professional Experience
1990-Present Associate Professor in
Mathematics at Northern
1989-1990 Research Scientist under the
supervision of Martin Golubitsky in the Mathematics
department at the
1988-1989 Temporary Lecturer at
the Mathematics Institute,
1988 June-July Postdoctoral Fellow at
1984-1988 Research Fellow at King’s College, Cambridge, and
Research Associate in the Department of Applied Mathematics and Theoretical
Physics, University of Cambridge, U.K.
1985 July-Aug. Postdoctoral Fellow in the Geophysical
Fluid Dynamics Program, Woods Hole Oceanographic Institution.
1980-1984 Research Assistant at UC
Berkeley in bifurcation theory and convection under the direction of Edgar Knobloch.
1978-1983 Teaching Assistant at UC
Berkeley Physics Department.
“Symmetries
and Pattern Selection in Rayleigh-Benard Convection,”
Physica D 10, pp. 249-276 (1984). With M. Golubitsky
and
“Suppression
of Period Doubling in Symmetric Systems,” Phys. Rev. Lett. 52:9, pp. 705-708 (1984). With K. Wiesenfeld.
“Hopf Bifurcation with the Symmetry of the Square,” Nonlinearity
1, pp. 333-377 (1988).
“Three Identical Oscillators with Symmetric Coupling,” Nonlinearity
3, pp. 585-601 (1990). With Peter Ashwin and G.P. King.
“Stationary Bifurcation to Limit Cycles and Heteroclinic
Cycles,” Nonlinearity 4, pp. 1001-1053 (1991). With Mike Field.
“The Dynamics of n Weakly
Coupled Identical Oscillators,” Journal of Nonlinear Science
2, pp. 69-108 (1992). With Peter Ashwin.
“Averaging of Globally Coupled
Oscillators,” Physica D 55, pp.
239-250 (1992). With Steven Strogatz
and Kurt Wiesenfeld.
“Unfolding
the Torus: Oscillator Geometry from Time
Delays,” Journal of Nonlinear Science 3, pp. 459-475 (1993). With Peter Ashwin.
“Hopf Bifurcation and the Hopf Fibration,” Nonlinearity 7, pp. 385-402
(1994). With Mike Field.
“Measuring Rotation Sets of Coupled
Oscillators,” Nonlinearity 7, pp. 925-942 (1994). With Peter Ashwin.
“Torus Doubling in Four Weakly Coupled
Oscillators,” International Journal of Bifurcation and Chaos 5:1,
pp. 231-241 (1995). With Peter Ashwin.
“Averaged Equations for Josephson
Junction Series Arrays,” Physical Review E 51:2, pp. 1020-1025
(1995). With Kurt Wiesenfeld.
“Stability of Periodic Solutions in
Series Arrays of Josephson Junctions with Internal Capacitance,” J.
Nonlinear Science 7, pp. 503-536 (1997). With Shinya Watanabe.
“Observing
the Symmetry of Attractors,” Physica D 114,
pp. 315-337 (1998). With Jeffrey H. Schenker.
“
“Numerical Solutions of a Vector Ginzburg-Landau Equation with a Triple-Well Potential,” International Journal of Bifurcation and
Chaos 13:11, pp. 3295-3306
(2003).
With John M. Neuberger and Dennis R. Rice, Jr.
“The Boundary
of Weighted Analytic Centers for Linear Matrix Inequalities,” Journal of Inequalities in Pure and Applied
Mathematics 5:1, Article 14, 21
pages (electronic), (2004).
With Shafiu Jibrin.
“Computing
Eigenfunctions on the Koch Snowflake: A New Grid and Symmetry,"
Journal of Computational and
Applied Mathematics 191, pp. 126-142 (2006). With John M. Neuberger and Nándor Sieben.
“Symmetry
and Automated Branch Following for a Semilinear
Elliptic PDE on a Fractal Region,” SIAM Journal on Applied Dynamical Systems 5:3, pp. 476-507 (2006). With John M. Neuberger and Nándor Sieben.
“Automated
Bifurcation Analysis for Nonlinear Elliptic Partial Difference Equations on
Graphs,” International Journal of
Bifurcation and Chaos 19: 8, pp. 2531-2556 (2009). With John M. Neuberger and Nándor Sieben.
“An MPI Implementation of a
Self-Submitting Parallel Job Queue,” International Journal of Parallel
Programming 40:4, pp.
443-464 (2012). With John M. Neuberger and Nándor Sieben.
“A Linear Condition Determining Local
or Global Existence for Nonlinear Problems,”
Cent. Eur. J. Math. 11:8 pp. 1361-1374 (2013).
With John M. Neuberger and John W. Neuberger.
“Newton’s Method and Symmetry for
Semilinear Elliptic PDE on the Cube,” SIAM J. Appl. Dyn. Syst. 12:3, pp. 1237-1279, (2013). With John M. Neuberger and Nándor Sieben.
“Symmetry
Analysis and Numerical Solutions for Semilinear
Elliptic Systems,” Elect. J. of Diff. EQ – 2012 Variational and Topological
Methods Conference Proceedings, (refereed conference proceedings) accepted. With C. Tyler Diggans and John M.
Neuberger.
Updated
September 2013