Charles K. Smart

Teaching

Last year, I helped design and instruct Math 191 with Alberto Grunbaum.
In the Spring of 2008, I was the Math 110 GSI.
In the Fall of 2007, I was a GSI for Math 128A.

Research

I'm currently studying partial differential equations with Lawrence C. Evans. Recently, I've studied the infinity Laplace equation and singular solutions of fully nonlinear elliptic equations.

I've done some work in model theory, generalizing Hrushovski's fusion construction under the supervision of Leo Harrington.

I'm also interested in Robotics. I wrote most of the control and navigation software for an autonomous motorcyle. As an undergraduate at Carnegie Mellon I worked on the Cognitive Colonies Project.

Papers

5. (with S. N. Armstrong and B. Sirakov) Fundamental solutions of homogeneous fully nonlinear elliptic equations, preprint. arXiv.

4. (with S. N. Armstrong and S. J. Somersille) An infinity Laplace equation with gradient term and mixed boundary conditions, preprint. arXiv.

3. (with S. N. Armstrong) An easy proof of Jensen's theorem on the uniqueness of infinity harmonic functions, Calc. Var. Partial Differential Equations (in press). arXiv, Journal.

2. (with S. N. Armstrong) A finite difference approach to the infinity Laplace equation and tug-of-war games, submitted. arXiv.

1. Interpreting Hasson's Example, draft. PDF.

Slides

PDF, A finite difference approach to the infinity Laplace equation and tug-of-war games, Workshop on New Connections Between Differential and Random Turn Games, PDE's and Image Processing, July 30, 2009.

Contact

smart@math.berkeley.edu

Charles K. Smart
Department of Mathematics
University of California at Berkeley
Berkeley, CA 94720