I am currently employed at
Stanford University.
I was previously a Postdoctoral researcher at the
Institute for Mathematics and its Applications
(IMA)
at University of
Minnesota.
I received my PhD
from Princeton University
under the supervision of
Yannis Kevrekidis.
When I was a graduate student/postdoc, some my research/education interests are listed here. I still enjoy these problems, but have a hard time finding the time to explore them these days:
- Computational Dynamics. The construction of software to
be used by scientists and mathematicians alike in the study of phase-,
parameter-, and physical-space of dynamical systems with the hopes
of creating a means by which one can perform robust numerical
experiments.
- Dependence of long-time dynamics of spatially varying PDEs.
The reduction of certain infinite-dimensional dynamical systems to
finite-dimensions via inertial manifold theory has established itself
in the industry. I am pursuing research addressing the question
concerning the robustness and/or the sesnsitivity of these approaches
with respect to the introduction of spatial inhomogenietites in the
physical system and hence in the PDE.
- Computers in the classroom - teaching ODEs via the World
Wide Web. When given the opportunity, I enjoy teaching students
about computers and how they can be used to learn about differential
equations and dynamical systems. A hope is to one day create an online
classroom for the individual investigation of differential equations
using some of the more sophisticated machinery available in the industry.
Some CV information follows:
Education
Employment
Presentations
Preprints
research interests
Computational Dynamics
Mathematical Visualization
Useful Links
MathSciNet
Netlib at
The Univ. of Tennessee and ORNL
maejohns@alumni.Princeton.EDU