Summary
My research is broadly in applied mathematics, scientific computing, and fluid dynamics. I study and develop mathematical models, numerical algorithms, and open-source software for applications involving fluid flows, granular-fluid mechanics, and wave propagation. My research focus involves PDEs (particularly hyperbolic systems), finite volume numerical methods, well-balanced methods, and adaptive mesh refinement techniques. I currently investigate shallow earth-surface flows with varying granular and fluid compositions. Examples include tsunamis, overland flooding, sediment-laden flows, and dense granular-fluid flows such as landslides and debris flows.
Appointments
- 2012-Present: Research Mathematician, USGS, Cascades Volcano Observatory
- 2008-2012: Mendenhall Postdoctoral Fellow, USGS, Cascades Volcano Observatory
- 2007-2008: VIGRE Acting Asst. Prof. of Applied Mathematics, Univ. of Washington
- 2006-2007: RTG Acting Asst. Prof. of Mathematics, University of Utah
- 2001-2006: TA & RA (PhD student), Applied Mathematics, Univ. of Washington
- 1999-2001: TA & RA (PhD student), Physiology and Biophysics, Univ. of Washington
Education
- PhD Applied Mathematics, University of Washington, Seattle, 2006.
- MS Applied Mathematics, University of Washington, Seattle, 2004.
- BA Physics, U.C. Santa Barbara, 1999.
- BS Biological Sciences, U.C. Santa Barbara, 1999.
- BA Physical Anthropology, U.C. Santa Barbara, 1997.