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Patrik Nabelek

Patrik V. Nabelek

Instructor
Department of Mathematics

Patrik V. Nabelek

Instructor
Department of Mathematics

I enjoy teaching mathematics and doing research on mathematics. My teaching interests are in calculus, differential equations, linear algebra, data science, probability, and mathematics for engineers. My research interests are on applications of mathematical physics to problems in wave and structural mechanics with the goal of providing solutions to coastal and ocean engineering problems. I am particularly interested in nonlinear coherent structures (such as solitons, breathers, solitary wakes, shockwaves), nonlinear wave turbulence, and nonlinear vibrations, and wave structure interactions. My favorite mathematical methods come from the areas of Hamiltonian and completely integrable systems, analysis (focus on complex and numerical), partial differential equations, classical algebraic geometry of Riemann surfaces, moduli spaces, probability, and complex dynamical systems theory.

I am also a fan of anything ocean related, platonic solids, crystals, group theory, and quantum mechanics.

Education

Ph.D. in Applied Mathematics, University of Arizona, 2018

M.S. in Applied Mathematics, University of Arizona, 2015

B.S. in Mathematics, Oregon State University, 2012