burchn

Submitted by burchn on September 13, 2011 - 1:41pm

Academics:
I received a B.Sc. degree in 05/2006 from Grand Valley State Unversity, where I majored in mathematics and minored in statistics under the supervision of Dr. Paul Fishback. From 08/2006--08/2011, I studied at Colorado State University. In 05/2008 and 05/2009, I received M.Sc. degrees from the Department of Mathematics and the Department of Statistics, respectively. While at CSU, I held graduate teaching assistantships in which I taught an introductory calculus course and an upper division course in ordinary differential equations. I was also a PRIMES (program for interdisciplinary mathematics, ecology, and statistics) fellow and consulted biologists at Badlands National Park. Moreover, I held several graduate research assistantships in which I collaborated with faculty from the mathematics, statistics, and electrical engineering departments as well as the department of fish, wildlife, and conservation biology. From 06/2009 to 08/2011, I was an intern at Sandia National Laboratories in Albuquerque, NM under the supervision of Dr. Richard Lehoucq. I finished my Ph.D in mathematics under the supervision of Dr. Donald Estep in 08/2011.

Recent CV: click here

Recreation:
   running, trail running, cycling
   hiking, camping, backpacking
   fishing, kayaking
   bowling

Research interests:
My research interests include probability, stochastic processes, uncertainty quantification, numerical solution of PDEs, sensitivity analysis, modeling (in particular, developing ecological, biological, and financial models), nonlocal evolution equations, CTRWs, and stochastic differential equations.

Journal publications/submissions:
8. Analysis of Routing Protocols and Interference-limited Communication in Large Wireless Networks,
Burch et al., Journal of Engineering Mathematics, in revision, 2011.
7. Optimal Design and Directional Leverage -- With Applications in Differential Equation Models,
Burch, Hoeting, and Estep, Metrika, in press, 2011.
6. Transient Sensitivity in a Matrix Population Model for Bison: a Case Study,
Buhnerkempe et al., Conservation Biology, in press, 2011.
5. Classical, Nonlocal, and Fractional Diffusion Equations on Bounded Domains,
Burch and Lehoucq, International Journal for Multiscale Computational Engineering, in press, 2011.
4. Continuous Time Random Walks on Bounded Domains,
Burch and Lehoucq, Physical Review E, 83(1), 2011.
3. Survival and Breeding Transitions for a Reintroduced Bison Population: a Multi-state Approach,
Pyne et al., Journal of Wildlife Management, 74(7), 2010.
2. Orthogonal Polynomials and Regression-based Symmetric Derivatives,
Burch and Fishback, The Real Analysis Exchange, 32(2), 2007.
1. Least-squares Property of the Lanczos' Derivative,
Burch, Fishback, and Gordon, Mathematics Magazine, 78(5), 2005.