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education

Ph.D., Indiana University, Bloomington, 2002.
 Specialization: Mathematics
 Ph.D. Thesis Title: One Dimensional Stability of Detonation Waves
 Advisor: Kevin Zumbrun
 M.A., Mathematics, Indiana University, Bloomington, 1999.
 B.A. magna cum laude, Mathematics, Saint Olaf College, 1996.
professional history

September 2015  Present: Department Head, Department of Mathematics, University of Wyoming, Laramie.

July 2015  Present: Professor, Department of Mathematics, University of Wyoming, Laramie.

July 2010  June 2015: Associate Professor, Department of Mathematics, University of Wyoming, Laramie.

September 2005  June 2010: Assistant Professor, Department of Mathematics, University of Wyoming, Laramie.

September 2002  May 2005: Assistant Professor (3year Postdoctoral Position), Department of Mathematics, University of Michigan, Ann Arbor.
Mentors: Peter Miller and Joel Smoller 
August 1996  August 2002: Associate Instructor, Department of Mathematics, Indiana University, Bloomington.
research interests
Applied Analysis and Partial Differential Equations: nonlinear waves, existence & stability of traveling waves, Evansfunction techniques, conservation and balance laws, gas dynamics, shock waves, combustion, integrable equations.
funding & awards
 2016  2019: National Science Foundation (DMS1551236), $299,475, Principal Investigator, Title of Project: Collaborative Research/EDT: FRAMEWORK—Front Range Applied Mathematics Exchanges and Workshops, [CoPIs: Myron Allen, Stephen Pankavich, Barbara Moskal].
 2014  2017: National Science Foundation (DMS1413273), $245,486, Principal Investigator, Title of Project: New Perspectives in Nonlinear Waves: Taming Modulational Instability, [CoPI: Long Lee].
 2010: Extraordinary Merit in Teaching, College of Arts & Sciences, University of Wyoming.
 2010: National Science Foundation (DMS1005317), $25,000, Principal Investigator, Title of Project: Rocky Mountain Summer School: Conservation Laws & Applications.
 2010: Institute for Mathematics and its Applications, $5,000, Principal Investigator, Title of Project: Rocky Mountain Summer School: Conservation Laws & Applications.
 2009: Extraordinary Merit in Research, College of Arts & Sciences, University of Wyoming.
 2009  2014: National Science Foundation (DMS0845127), $409,998, Principal Investigator, Title of Project: CAREER: Wyoming Applied Analysis & Computing Group: Behavior of Solutions of Nonlinear Partial Differential Equations.
 2008  2011: National Science Foundation (DMS0755450), $245,574, CoPrincipal Investigator, Title of Project: REU Site: Rocky Mountain Mathematical Research and Career Experiences, [PI: Bryan Shader].
 2006: Basic Research Grant, College of Arts & Sciences, University of Wyoming, Principal Investigator, Title of Project: Evansfunction Analysis for Realistic Models of Reacting Fluids.
 2003  04: VIGRE Fellowship, Department of Mathematics, University of Michigan.
 2003: Rackham Faculty Fellowship, Horace H. Rackham School of Graduate Studies, University of Michigan, Title of Project: Stability of Combustion Waves.
 1999: Rothrock Teaching Award for Associate Instructors, Department of Mathematics, Indiana University.
selected talks
 2015, Spectral and nonlinear stability of viscous detonation waves in Majda's qualitative model, 25th International Colloquium on the Dynamics of Explosions and reactive systems, University of Leeds: Leeds, UK.
 2015, Viscous hyperstabilization of detonation waves, Shock Waves and Beyond, Institut Henri Poincaré: Paris, France.
 2015, Viscous hyperstabilization of detonation waves, 9th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, University of Georgia: Athens, GA.
 2015, Spectral (and nonlinear) stability of viscous detonation waves, SIAMSEAS Conference, University of Alabama at Birmingham: Birmingham, AL.
 2015, Spectral and nonlinear stability of viscous detonation waves, Nonlinear Partial Differential Equations Seminar, Texas A&M University: College Station, TX.
 2015, Spectral and nonlinear stability of viscous detonation waves, Applied & Interdisciplinary Mathematics Seminar, University of Michigan: Ann Arbor, MI.
 2014, Computing the refined stability condition for shock waves, NW14: SIAM Conference on Nonlinear Waves & Coherent Structures: Cambridge, UK.
 2014, Viscous hyperstabilization of detonation waves, Applied Mathematics and Statistics Colloquium, Colorado School of Mines: Golden, CO.
 2014, Viscous hyperstabilization of detonation waves, Applied Mathematics Seminar, Colorado State University: Fort Collins, CO.
 2013, Stability of viscous strong and weak detonation waves for Majda's model, PD13: SIAM Conference on Analysis of Partial Differential Equations: Orlando, FL.
 2013, Viscous hyperstabilization of detonation waves, IIMAS Applied Math Colloquium, Universidad Nacional Autónoma de México: Mexico City, Mexico.
 2013, The Gaussian semiclassical soliton ensemble, AMS Sectional Meeting, University of Colorado: Boulder, CO.
 2013, The Evans function and stability of viscous detonation waves: an overview, Analysis & Convexity Seminar, University of Oklahoma: Norman, OK.
 2012, The Gaussian semiclassical soliton ensemble, Applied Mathematics Seminar, Michigan State University: East Lansing, MI.
 2012, The Gaussian semiclassical soliton ensemble, Applied & Interdisciplinary Mathematics Seminar, University of Michigan: Ann Arbor, MI.
 2012, The semiclassical limit of the focusing nonlinear Schrödinger equation: overview & recent results, PDE Seminar, Indiana University: Bloomington, IN.
 2012, Refined stability for combustion waves, AMS Sectional Meeting, University of Kansas: Lawrence, KS.
 2011, The Evans function and the stability of viscous shock and detonation profiles, Mathematics Colloquium, University of Colorado: Colorado Springs, CO.
 2011, Refined Stability for gasdynamical shocks, Nonlinear Waves Seminar, University of Colorado: Boulder, CO.
 2011, Refined stability for combustion waves, PD11: SIAM Conference on Analysis of Partial Differential Equations: San Diego, CA.
 2010, (Refined) stability for Navierâ€“Stokes shocks, NW10: SIAM Conference on Nonlinear Waves and Coherent Structures: Philadelphia, PA.
 2010, Spectral stability of idealgas shock layers, Rocky Mountain Mathematics Consortium Summer School: Laramie, WY.
 2010, Spectral stability of combustion waves, DSPDEs'10: Emerging topics in dynamical systems and partial differential equations: Barcelona, Spain.
 2009, Spectral stability of idealgas shock layers, Applied Mathematics Seminar, Colorado State University: Fort Collins, CO.
 2008, Spectral stability of idealgas shock layers, Applied Mathematics Seminar, University of Wisconsin: Madison, WI.
 2008, The Evans function and stability of detonation waves, NW08: SIAM Conference on Nonlinear Waves and Coherent Structures: Rome, Italy.
 2008, Spectral stability of idealgas shock layers, Applied Mathematics & Computation Seminar, University of Massachusetts: Amherst, MA.
 2007, Pointwise Green function bounds and stability of combustion waves, DS07:SIAM Conference on Applications of Dynamical Systems: Snowbird, UT.
 2007, The largeN limit of Nsolitons for the focusing NLS equation: the secondary caustic, Seventh Joint Meeting of the Sociedad Matemática Mexicana (SMM) and the American Mathematical Society (AMS): Zacatecas, Mexico.
 2007, Toward the stability of combustion waves: pointwise Green function bounds, Taller de Ecuaciones Nolineales 2007 [2007 Workshop on Nonlinear Equations], Universidad Nacional Autónoma de México: Mexico City, Mexico.
 2007, Pointwise Green function bounds and stability of combustion waves, Applied Math Seminar, Michigan State University: East Lansing, MI.
 2006, The secondary caustic for the semiclassical limit of the focusing nonlinear Schrödinger equation, Applied Math Colloquium, University of Colorado: Boulder, CO.
 2006, The secondary caustic for the semiclassical limit of the focusing nonlinear Schrödinger equation, CCAM Seminar on PDEs and Numerical Methods, Penn State University: State College, PA.
 2006, Breaking curves for the largeN limit of the Nsoliton of the focusing nonlinear Schrödinger equation, NW06: SIAM Conference on Nonlinear Waves and Coherent Structures: Seattle, WA.
 2005, An Evansfunction Approach to Studying Detonations: Stability and Beyond, Seminar, University of Louisville: Louisville, KY.
 2005, An Evansfunction Approach to Studying Detonations: Stability and Beyond, Seminar, Trinity College: Dublin, Ireland.
 2004, Lowfrequency stability of multidimensional viscous and inviscid planar detonation waves, Hyp2004: Tenth International Conference on Hyperbolic Problems, Kyushu University: Osaka, Japan.
 2004, The Nsoliton of the focusing nonlinear Schrödinger equation for N large, Differential Equations Seminar, North Carolina State University: Raleigh, NC.
 2004, Lowfrequency stability of multidimensional detonations in three models of combustion: A spectral equivalence theorem, Partial Differential Equations Seminar, Indiana University: Bloomington, IN.
 2004, Lowfrequency stability of multidimensional detonations in three models of combustion: A spectral equivalence theorem, Applied & Interdisciplinary Mathematics Seminar, University of Michigan: Ann Arbor, MI.
 2004, The Evans function and the stability of viscous detonation waves, NC04: Tenth International Conference on Numerical Combustion, Society for Industrial and Applied Mathematics: Sedona, AZ.
 2003, Another look at Majda's model for reacting flow, Differential Equations Seminar, North Carolina State University: Raleigh, NC.
 2003, Stability of Detonation Waves,'' Equadiff2003: International Conference on Differential Equations, Limburgs Universitair Centrum: Hasselt, Belgium.
 2003, The Evans function and stability of viscous detonation waves, Applied Math Seminar, Ohio State University: Columbus, OH.
 2002, Stability of detonation waves, Differential Equations Seminar, University of Michigan: Ann Arbor, MI.
 2002, Stability of detonation waves, Hyp2002: Ninth International Conference on Hyperbolic Problems, California Institute of Technology: Pasadena, CA.
graduate student mentorship
 Rachel Jennings (PhD 2016, Coadvisor with Rongsong Liu)
First Position: Postdoc, Department of Population Medicine and Diagnostic Sciences, Cornell University  YiHung Kuo (PhD 2014, CoAdvisor with Long Lee)
Thesis Title: Analysis and development of compact finite difference schemes with optimized numerical dispersion relation
First Position: Graduate School, Atmospheric & Oceanic Sciences, UCLA  Eric Quade (PhD, 2012)
Thesis Title: A new construction of viscous weak detonation profiles
First Position: Faculty, Laramie County Community College (Albany County Campus)  Michael Bostick (MS, 2009)
Thesis Title: Combustion waves with multistep chemistry
First Position: Faculty, Central Wyoming College
undergraduate research & independent study students
 Josiah Batson (Summer 2015), Topic: Random semiclassical soliton ensembles.

Christian Waddey (Summer & Fall 2014), Topic: Pseudospectrum.
After Wyoming: Graduate School, Mathematics, University of Wyoming. 
George Wheeler (Summer 2013), Topic: Refined stability for systems.
After Wyoming: Graduate School, Mathematics, University of Wyoming.  Yeongjoh Kim (Summer 2013, Comentor with Long Lee), Topic: Eigenvalues of the ZakharovShabat problem.
After Wyoming: Graduate School, Mathematics, University of Wyoming.  Allison Lindgren (Summer 2012), Topic: Refined stability.
After Wyoming: Laramie County School District # 1  Samuel Pasco (Summer 2011), Topic: Supercontinuum generation.
After Wyoming: Basin Electric  Irena Vankova (Spring & Summer 2011, Comentor with Long Lee), Topics: Semiclassical soliton ensembles & supercontinuum generation.
After Wyoming: Graduate School, , Applied Mathematics, New York University.  Stephen Bagley (Summer 2010), Topic: Refined stability.
After Wyoming: Graduate School, Mathematics, University of Utah.  Nicholas Anderson (Summer 2010), Topic: Refined stability.
After Wyoming: Graduate School, Mathematics, University of Wyoming; Graduate School, Cybersecurity, NYUPoly.  Brian Kim (Summer 2004), Topic: Travelingwave solutions of a diffusive predatorprey system.
courses taught
peer reviewer
 Book Proposals: J. Wiley & Sons, Inc.
 Journal Articles: Acta Applicandae Mathematicae, Applicable Analysis, Discrete and Continuous Dynamical Systems (supplement), International Mathematics Research Notices, Journal of Differential Equations, Journal of Mathematical Physics, Journal of Physics A, Mathematical Models and Methods in Applied Sciences, Mathematische Nachrichten, Michigan Mathematics Journal, Nonlinear Analysis: Real World Applications, Nonlinearity, Physica D, Proceedings of the Royal Society A, SIAM Journal on Mathematical Analysis, SpringerPlus, Zeitschrift für Naturforschung A.
 Grant Proposals: National Science Foundation (×3)
professional associations
 Member, American Mathematical Society
 Member, Society for Industrial and Applied Mathematics
 Affiliate Faculty, Science & Mathematics Teaching Center, University of Wyoming: 2009  2012.
 Member, Advisory Board, Interdisciplinary Mentoring Program in Analysis, Computation, & Theory (IMPACT), Brigham Young University: 2009  Present.
outreach & other activities
 Coorganizer, Rocky Mountain Mathematics Consortium Summer School: Conservation Laws & Applications, Laramie, WY: June 2010.
 Judge, Wyoming State Science Fair, Laramie, WY: March 2010.
 Codirector, Rocky Mountain Mathematical Research and Career Experiences, University of Wyoming REU Program: Summers 2009  2011.
 Coinstructor, Wyoming Math Teachers Circle: Problem Solving, Teton Science Schools, Jackson, WY: July 2009.
service
 Committee Service (American Mathematical Society): Short Course Subcommittee (1 Feb 2013  31 Jan 2016)
 Committee Service (University of Wyoming): Enzi STEM Building Ownership and Programmatic Team (2016  Present)
 Committee Service (College of Arts and Sciences): Ad hoc General Education Requirements Committee (Fall 2011), Mathematical Sciences Liaison, A&S Board of Visitors (20152018)
 Committee Service (Department of Mathematics, *=committee chairman): Faculty Evaluation and Advisory Committee (elected, 20067, 200910, 201011, 20112012*, 201314, 201415), Undergraduate Committee (201011,201112), Graduate Committee (20056, 20067, Fall 2007, 20089, 201314*, 201415*), Colloquium Committee (20056, 20067, Fall 2007, 20089*, 200910*), Tenure & Promotion Committee (200910, 201415), Hiring Committee (201112*)