Grand Teton Grand Canyon of the Yellowstone Snowy Range

research interests

Applied analysis and partial differential equations: nonlinear waves, existence & stability of traveling waves, Evans-function techniques, conservation & balance laws, gas dynamics, shock waves, combustion, integrable equations.


  • Balanced flux formulations for multidimensional Evans function computations for viscous shocks (with Blake Barker, Jeffrey Humpherys, and Kevin Zumbrun), arXiv:1703.02099.
  • Multidimensional stability of large-amplitude Navier-Stokes shocks (with Jeffrey Humpherys and Kevin Zumbrun), arXiv:1603.03955.
  • Analysis and development of compact finite difference schemes with optimized numerical dispersion relations (with Yi-Hung Kuo and Long Lee), arXiv:1409.3535.

selected publications

about me

I grew up in Fort Wayne, Indiana (the one-time magnet wire capital of the world), and I earned a BA in mathematics from St. Olaf College. My PhD is from Indiana University, Bloomington. After a post-doctoral stint at the University of Michigan, I came to Wyoming in 2005. Outside of mathematics, I enjoy skiing, ruminating on the New York Times crossword puzzle, drinking good coffee, and passionately following the (mis)fortunes of the Indiana University men's basketball team.