Dr. Kyle Claassen is the 2018 Project NExT Fellow of the Indiana section of the Mathematical Association of America. He studies the existence and stability of nonlinear waves, particularly for the Fractional Nonlinear Schrödinger Equation and Bidirectional Whitham water wave models. To show his students an interesting application of Green’s Theorem, he wrote software that uses a Nintendo Wiimote to find the area of a region. Dr. Claassen uses numerical methods to compute bifurcations and spectra, with the goal of motivating and verifying theoretical results. He earned his Ph.D. and master’s degree from the University of Kansas and his bachelor’s degree from Bethel College. Check out his personal web page.


Academic Degrees

  • PhD, University of Kansas, 2018
  • MA, University of Kansas, 2014
  • BA, Bethel College (Kansas), 2010

Awards & Honors

  • University of Kansas Department of Mathematics Florence Black Graduate Teaching Award (2017)

Publications & Presentations

Claassen, K.M. and Johson, M.A. (2018), Numerical Bifurcation and Spectral Stability of Wavetrains in Bidirectional Whitham Models. Studies in Applied Mathematics. loi:10.111-sapm.12221

Existence of a highest wave in a fully dispersive two-way shallow water model. Archive for Rational Mechanics and Analysis. To appear.

"Nondegeneracy of Antiperiodic Standing Waves for Fractional Nonlinear Schrodinger Equations," SIAM Conference on Applications of Dynamical Systems, 2017.

Research Interests

  • Existence and stability of nonlinear waves
  • Fractional Nonlinear Schrodinger Equation
  • Bidirectional Whitham water wave models

Teaching Interests

  • Calculus
  • Differential Equations
  • Applied Mathematics
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