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positions

• 2023 - Present: Optum, Eden Prairie, MN.
  • Senior Director, Optum AI
• 2018 - 2023: UnitedHealth Group, Minnetonka, MN.
  • Research Fellow, UHG R&D/Optum Labs
• 2005 - 2018: University of Wyoming, Laramie, WY.
  • Department Head, Mathematics & Statistics (2017 - 2018)
  • Department Head, Mathematics (2015 - 2017)
  • Professor (2015 - 2018)
  • Associate Professor (2010 - 2015)
  • Assistant Professor (2005 - 2010)
• 2002 - 2005: University of Michigan, Ann Arbor, MI.
  • Post-Doctoral Assistant Professor
  • Mentors: Peter Miller & Joel Smoller

education

• Indiana University, Bloomington, IN.
  • Ph.D., Mathematics, 2002
    • Dissertation: One dimensional stability of detonation waves
    • Advisor: Kevin Zumbrun
    • Committee: D. Hoff (Indiana), J. Rubinstein (Technion/IU), S. Wang (Indiana)
  • M.A. Mathematics, Indiana University, Bloomington, IN, 1999
• St. Olaf College, Northfield, MN.
  • B.A. magna cum laude, Mathematics, 1996
• Trinity College Dublin, The University of Dublin, Dublin, Ireland.
  • Visiting Student, Mathematics & Classics, 1994 - 1995

publications and patents

List of Publications and Patents

talks

List of Talks

awards

• I’ve won stuff.

academic funding

• 2016–2019: National Science Foundation (DMS-1551236), $599,471. Principal Investigator, Title of Project: EDT/Collaborative Research— FRAMEWORK: Front Range Applied Mathematics Exchanges & Workshops, [Co-PIs: M. Allen (U. Wyoming), S. Pankavich & B. Moskal (Colorado School of Mines)].

• 2014–2017: National Science Foundation (DMS-1413273), $245,486. Principal Investigator, Title of Project: New Perspectives in Nonlinear Waves: Taming Modulational Instability, [Co-PI: L. Lee (U. Wyoming)].

• 2010: National Science Foundation (DMS-1005317), $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”.

• 2009–2014: National Science Foundation (DMS-0845127), $409,998. Principal Investigator, Title of Project: CAREER: Wyoming Applied Analysis & Computing Group: Behavior of Solutions of Nonlinear Partial Differential Equations.

phd/ms students

• Kristen Shavlik, PhD, U. Wyoming (Co-chair with L. Lee)
  • Dissertation: Computational methods for the nonselfadjoint Zakharov–Shabat eigenvalue problem
  • Defense: May 2019
  • After Wyoming: InTrack Radar Technologies, Inc.
• Rachel Jennings, PhD, U. Wyoming (Co-chair with R. Liu)
  • Dissertation: Environmental heterogeneity and host condition in the transmission of low pathogenic avian influenza among migratory wild birds
  • Defense: June 2016
  • After Wyoming: Postdoc, Population Medicine & Diagnostic Sciences, Cornell U.
• Yi-Hung Kuo, PhD, U.Wyoming (Co-chair with L. Lee)
  • Dissertation: Analysis and development of compact finite difference schemes with optimized numerical dispersion relations
  • Defense: September 2014
  • After Wyoming: Grad School, Atmospheric & Oceanic Sciences, UCLA
• Eric Quade, PhD, U. Wyoming
  • Dissertation: A new construction of viscous weak detonation waves
  • Defense: August 2012
  • After Wyoming: Faculty, Laramie County Community College
• Michael Bostick, MS, U. Wyoming
  • Thesis: Combustion waves with multistep chemistry
  • Defense: December 2009
  • After Wyoming: Faculty, Central Wyoming College

undergraduate research & independent study students

• Josiah Batson, Wyoming (Summer 2015, Co-mentor w/ L. Lee)
  • Topic: Random semiclassical soliton ensembles
  • After Wyoming: Grad School, Electrical Engineering, Wyoming.
• Christian Waddey, Wyoming (Summer/Fall 2014)
  • Topic: Pseudospectrum
  • After Wyoming: Grad School, Mathematics, Wyoming.
• George Wheeler, Wyoming (Summer 2013)
  • Topic: Weakly stable multidimensional shocks in $2\times 2$ systems
  • After Wyoming: Grad School, Mathematics, Wyoming.
• Yeongjoh Kim, Wyoming (Summer 2013, Co-mentor w/ L.\ Lee)
  • Topic: Eigenvalues of the Zakharov–Shabat Problem
  • After Wyoming: Grad School, Mathematics, Wyoming.
• Allison Lindgren, Wyoming (Summer 2012)
  • Topic: Refined stability - the scalar case.
  • After Wyoming: Grad School, Mechanical Engineering, Northern Arizona
• Samuel Pasco, Wyoming (Summer 2011)
  • Topic: Supercontinuum generation
  • After Wyoming: Basin Electric Power Cooperative
• Irena Vankova, Wyoming (Spring/Summer 2011, Co-mentor w/ L. Lee)
  • Topic: Semiclassical Soliton Ensembles
  • After Wyoming: Grad School, Applied Mathematics, NYU
• Stephen Bagley, Wyoming, (Summer 2010)
  • Topic: Refined Stability of Navier–Stokes Shocks.
  • After Wyoming: Grad School, Mathematics, Utah
• Nicholas Anderson, Wyoming, (Summer 2010)
  • Topic: Refined Stability of Navier–Stokes Shocks.
  • After Wyoming: Grad School, Mathematics, Wyoming
• Brian Kim, Michigan (Summer 2004)
  • Topic: Traveling-Wave Front Solutions of Diffusive Predator-Prey Equations.
  • After Michigan: Grad School, Biostatistics, Florida State

reviewer/referee

• Conference Abstracts: Young Mathematicians Conference (Ohio State)

• Journals (Selected): International Mathematics Research Notices, Journal of Differential Equations, Journal of Mathematical Analysis and Applications, Journal of Mathematical Physics, Journal of Physics A, Nonlinearity, Physica D, Proceedings of the Royal Society A, SIAM Journal on Mathematical Analysis, Studies in Applied Mathematics
• Book Proposals: J. Wiley & Sons, Inc.
• Grant Proposals: National Science Foundation (USA) — Panel Reviewer (×5)
• External Reviewer for University Tenure and/or Promotion (×3)