**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.

“*International Journal of Bifurcation and Chaos* **11:3**, pp. 801-820
(2001).
With John M. Neuberger.

“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).*

“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