The Division of Applied Mathematics
Christopher Jones
Professor
Director of the Lefschetz Center for Dynamical Systems
ckrtj@cfm.brown.edu
37 Manning Street, Room 201
(401) 863-3696
Biography
Chris Jones received his Ph.D. in Mathematics from theDepartment
of Mathematics at the University of Wisconsin-Madison
in December of 1979 under the direction of Charles Conley. Since that time
he has held positions at the University
of Arizona and the University
of Maryland-College Park. He is currently a Professor of Applied Mathematics
at Brown University. He has held visiting
positions at the University of British
Columbia, the University of Minnesota
and Universitaet Stuttgart.
Research Interests
Dynamical systems as a tool for solving problems which originate
in applications is the main thrust of Jones's research. He has been interested
in the dynamics of optical systems, resonance phenomena in celestial mechanics
and pattern formation. A particular focus has been the use of dynamical
systems methods in the study of nonlinear wave motion. He has developed
techniques for determining the stability of traveling and standing waves
with applications in nerve impulse and optical beam propagation. He has
recently worked on the problem of stable (multiple) pulse propagation in
optical fibers with phase-sensitive amplifiers. He has also been involved
in a group effort to understand transport and mixing in mesoscale ocean
structures. He has focussed on the use of geometric methods, particularly
invariant manifolds in phase space. A major collaborative mathematical
study has been on the use of geometric methods in singularly perturbed
systems.
Editorial Work
Jones is currently one of the Coordinating Editors of Physica
D. He is also on the editorial boards of the Journal of Dynamics and
Differential Equations and Methods and Applications of Analysis.
AM136
Where to contact me
Christopher Jones
Box F
Brown University
Providence, RI 02912
Tel: (401) 863-3696
FAX: (401) 863-1355
E-mail: ckrtj@cfm.brown.edu
WWW: http://www.cfm.brown.edu/people/ckrtj
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Last updated: 13-Jan-97