Prizes and Awards:
- Department Mentored Research Award, BYU Department of Mathematics 2009
- BYU Faculty Young Scholar Award 2009
- NSF Faculty Early Career Development Award 2009
- Young Scholar Award, BYU College of Physical and Mathematical Sciences 2010
Publications:
- Computing expected transition events in reducible Markov chains, SIAM Journal on Matrix Analysis and Applications, 31 (2009), 1040-1054.
- On the shock wave spectrum for isentropic gas dynamics with capillarity, Journal of Differential Equations, 246 (2009), 2938-2957.
- Spectral stability of large-amplitude noncharacteristic boundary layers, Archive for Rational Mechanics and Analysis, 192 (2009), 537-587.
- Option pricing for inventory management and control, Proceedings of the 2009 American Controls Conference, (2009), 2831-2836.
- Discrete-event counting in multi-agent Markov processes, Proceedings of the 2009 American Controls Conference, (2009), 713-718.
- Spectral stability of ideal-gas shock layers, Archive for Rational Mechanics and Applications, 194 (2009), 1029-1079.
- Stability of isentropic viscous shock profiles in the high Mach number limit, Communications in Mathematical Physics, (2010).
- Pricing of American retail options, Proceedings of the 2010 American Control Conference, (2010).
- One-dimensional stability of parallel shock layers in isentropic magnetohydrodynamics, Journal of Differential Equations, (2010).
- Kalman Filtering with Newton's Method, IEEE Control Systems Magazine, 30(6) (2010), 101-106.
- Following straight lines and orbital paths with input constraints, Proceedings of the 2011 American Control Conference, (2011)
- Dynamic input consensus using integrators, Proceedings of the 2011 American Control Conference, (2011).