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.

preprint(s)

  • Evans function computation for the stability of travelling waves, (with Blake Barker, Jeffrey Humpherys, and Joshua Lytle), Preprint, 25 pages, 2017. (Accepted for publication in Philosophical Transactions of the Royal Society A)
  • Euler vs. Lagrange: The role of coordinates in practical Evans-functions computations, (with Blake Barker, Jeffrey Humpherys, and Kevin Zumbrun), arXiv:1707.01938.
  • Balanced flux formulations for multidimensional Evans function computations for viscous shocks (with Blake Barker, Jeffrey Humpherys, and Kevin Zumbrun), arXiv:1703.02099. (Accepted for publication in Quarterly of Applied Mathematics)
  • 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.