Welcome to my personal portal on the Information Superhighway! Thanks for stopping by.
I can usually be found in my office, MCS B46B, and my email is email@example.com .
I am currently the instructor for MA 226 SB2 My office hours are Tuesday from 2pm - 5pm in MCS B46B.
My research interests are infinite dimensional dynamical systems and PDEs. Specifically, my research has focused on applying Center Manifold
theory to explain Taylor Dispersion, a phenomenon occuring in pipe flows.
Dye moving through a pipe.
The same dye, in a moving frame.
Here is a list of publications and preprints:
"Center Manifolds and Taylor Dispersion," in preparation with
M. Beck and C.E. Wayne.
"Analysis of enhanced diffusion in Taylor dispersion via a model problem," with M. Beck and C.E. Wayne. In the special volume of the Fields Institute Communications entitled "Hamiltonian PDEs and Applications", Springer-Verlag, New York (2015)
"The Stubborn Roots of Metabolic Cycles," with E. Reznik and A. Watson.
Journal of the Royal Society Interface (2013), volume 10 no. 83. [Interface].
Confused about "point", "continuous", "residual", and "essential" spectrum? Here's a writeup that may help.
A Mathematica notebook containing some demonstrations you may find useful (possibly after some modification) for your teaching;
right-click, shift-click, or two-finger click to save the .nb file.
A numerical simulation of the FPU "alpha" model (quadratic nonlinearity) on a finite lattice (64 interior oscillators) with Dirichlet boundary conditions. "Recurrence" occurs around 65 seconds, near the end of the video. Mathematica notebook available