معرفی
Summary
David Goluskin is an Associate Professor in the Department of Mathematics and Statistics at the University of Victoria. His research focuses on applied nonlinear dynamics, fluid dynamics, and computational methods. He has expertise in polynomial optimization for studying fluid dynamics and ordinary/partial differential equations. Goluskin holds a PhD in Applied Mathematics from Columbia University (2013), along with MS and BS degrees from Columbia and University of Colorado Boulder.
Education
- PhD in Applied Mathematics, Columbia University, 2013
- MS in Applied Mathematics, Columbia University, 2009
- BS in Applied Mathematics & Aerospace Engineering, University of Colorado Boulder, 2007
Research Interests
Goluskin’s work combines computation and analysis to explore nonlinear dynamics, particularly in fluid dynamics. He has developed methods using polynomial optimization to bound properties of dynamical systems, such as time averages and attractor characteristics. Recent studies include Rayleigh-Bénard convection, transient energy growth in fluid flows, and chaotic systems like the double pendulum.
Teaching
In Winter 2025, he taught MATH 444/550 (Topics in Fluid Dynamics) as a PIMS network-wide graduate course. He has also taught courses on partial differential equations and continuous optimization.
Publications
His research spans over 25 peer-reviewed articles, with recent contributions in SIAM Journal on Optimization, Nonlinearity, and Physical Review Letters. Key topics include turbulent transport scaling, convex computation of Lyapunov exponents, and bounding dissipation in shear flows.
