I work in computational science and engineering, and my research mixes mathematical analysis, application modeling, and software design. This page introduces some of my work -- I've left out older projects, projects where there aren't any results yet, and projects that can't readily be crammed into the listed categories. My CV gives a more complete list of talks and publications (with hyperlinks).
Advancing magnetic confinement fusion through optimization and hidden symmetries.
Parallel surrogate optimization
Asynchronous parallel algorithms for finding minima fast by fitting functions to surrogate models.
Scattering and resonances
Linear eigenproblems for standing waves; nonlinear eigenproblems for almost-standing waves.
Solid-wave MEMS gyroscopes
Building simulation tools to understand the challenges in miniaturizing the current gyro-of-choice for space applications. Success means MEMS IN SPACE!
Continuing invariant subspaces
If $A(s)$ is a parameter-dependent matrix, how do we compute an invariant subspace basis $V(s)$?
Opinions as game theory
In the game of expressing our opinions, we all want to both follow our beliefs and agree with our friends. Analyzing Nash equilibria yields interesting insights. Eigenvalues are involved!
Inferring internal network state by measuring end-to-end paths. It's a CAT scan for the Internet!