Primary Title:

Postdoctoral Scholar

Email Contact:

Office:

KIDD 008

Office Hours:

Zoom and Kidder 008: M 2pm-3pm, W 11am-12pm, F 10am-11am

Bio:

Patrik was an undergraduate at Oregon State University, and received his BS in Mathematics. Patrik received his PhD in Applied Mathematics from the University of Arizona working under the supervision of Ken McLaughlin and Vladimir Zakharov. His research is on applications of complex analysis to the study of nonlinear waves, probability, and geometry. Patrik has taught classes on mathematical modeling, ordinary differential equations, partial differential equations, complex variables, probability, calculus, and linear algebra. Patrik is particularly interested in teaching students how to apply techniques learned in mathematics classes to problems in mathematics, science, and engineering.

PhD in Applied Mathematics, University of Arizona, 2018

MS in Applied Mathematics, University of Arizona, 2015

BS in Mathematics, Oregon State University, 2012

Research Field:

Nonlinear Waves, Complex Analysis, Probability

Research Description:

My research is on solitons, spinning things, donuts, and something random (sometimes on computers).

My primary interest is applications of complex analysis to the study solutions to completely integrable Hamiltonian systems in analytical mechanics, nonlinear wave mechanics, and mathematical physics. I am also interested in probability (random waves, soliton gasses, and Markov processes), and geometry (Riemann surfaces, translation surfaces, zero curvature connections, and complex algebraic geometry).

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