My name is Gideon Simpson. I am currently a postdoc in the Department of Mathematics at the University of Toronto.

Email me at simpson(at)math(dot)

My office hours this semester (Winter 2010) are Mondays from 2 to 4 PM. My office is BA 6172.

Teaching:

Winter 2010, MAT234: see the Portal site.

Research Interests:

My research interests include nonlinear partiatl differential equations, nonlinear waves, dynamical systems, homogenization, scientific computing, fluid mechanics, geophysics, and materials science.

Publications:

G. Simpson, C. Sulem, and P.L. Sulem. Arrest of Langmuir wave collapse by quantum effects. Accepted to PRE [arXiv]

J. Colliander, C. Sulem, and G. Simpson. Numerical simulations of the energy- supercritical Nonlinear Schrodinger equation. Submitted [arXiv]

J. Marzuola, S. Raynor, and G. Simpson. A System of ODEs for a Perturbation of a Minimal Mass Soliton. Submitted [arXiv]

G. Simpson, M. Spiegelman, and M.I. Weinstein. A Multiscale Model of Partial Melts 2: Numerical Results. Accepted to Journal of Geophysical Research -- Solid Earth

G. Simpson, M. Spiegelman, and M.I. Weinstein. A Multiscale Model of Partial Melts 1: Effective Equations. Accepted to Journal of Geophysical Research -- Solid Earth

G. Simpson and M.I. Weinstein. Asymptotic stability of ascending solitary magma waves. SIAM J. Math. Anal., 40:1337--1391, 2008.

G. Simpson, M.I. Weinstein and P. Rosenau. On a Hamiltonian PDE arising in magma dynamics. DCDS-B, 10:903--924, 2008.

G. Simpson, M. Spiegelman, and M.I. Weinstein. Degenerate dispersive equations arising in the study of magma dynamics. Nonlinearity, 20:21--49, 2007.

Useful scientific computing software packages:

• GSL
• CLAWPACK
• SUNDIALS
• PETSc
• SUNDANCE
• FEniCS
• SciPy

LaTeX Tips:

• Use the AMS packages: amsmath, amsfonts, amssymb. In particular, use \begin{align}...\end{align} in place of \begin{eqnarray}...\end{eqnarray} for grouping equations; I get better results with less work. Also, for a single equation that must be broken up across multiple lines, use \begin{split}...\end{split} within a \begin{equation}...\end{equation} environment.
• Use the package showkeys to have your the labels you assign equations appear while working in draft mode.
• Use the package cite to have references appear as [1--5] instead of [1,2,3,4,5].
• Use the package hyperref. Without doing anything further, PDFs will now pick up the sections of your document.

About me:

I completed my PhD at Columbia University's Department of Applied Physics and Applied Mathematics under the joint supervision of Michael Weinstein and Marc Spiegelman.

I received my undergraduate degree from Cornell University in 2003. I did my honors thesis with John Hubbard. While at Cornell, I served as business manager of the Cornell Daily Sun. I remain interested in news and media.

Buy my sister's book, 'cause she's got two kids, and another one on the way . Buy something from my other sister's business, 'cause she's got four dogs.