MSRI Postdoctoral Fellow
Department of Mathematics and Statistics
McGill University, Montreal

Mathematician (CV)

Research Interests

I study geometry in the sense of Cartan. In particular, I am currently studying integrable PDE systems in 3 (or more) variables and their associated integrable GL(2) geometry. Additionally, I am interested in the theory of algebroids, groupoids, and integrable distributions. Mathematical relativity and Finsler geometry are neat, too.

The classification
of connected 2,3-integrable GL(2)-structures of degree 4. which correspond to
Hessian-type integrable hydrodynamic PDEs in three variables.

The classification of connected 2,3-integrable GL(2)-structures of degree 4 as well as Hessian-type integrable PDEs in three variables.

Publications

2009-12. Integrable GL(2) Geometry and Hydrodynamic Partial Differential Equations (submitted, preprint, maple code)
2009-04. Integrability of Second-Order Partial Differential Equations and the Geometry of GL(2)-Structures. PhD Dissertation, Duke University. (pdf)

Preprints

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Travel Schedule

Old Info:

http://fds.duke.edu/db/aas/math/grad/adsmith

This page is duplicated at www.math.mcgill.ca/adsmith, www.math.duke.edu/~adsmith, www.demigod.org/~abe. isis.no-ip.org/~abe.