Partial Differential Equations
Doug Arnold
McKnight Presidential Professor
numerical analysis, differential equations, mechanics, computational relativity
Jeffrey Calder
Assistant Professor
partial differential equations, numerical analysis, applied probability, machine learning, image processing and computer vision
Carme Calderer
Professor
applied mathematics, continuum mechanics, soft condensed matter physics and materials science, with emphasis on liquid crystals, ferroic materials, partial differential equations and calculus of variations
Paul Carter
Assistant Professor
dynamical systems, nonlinear waves, partial differential equations, singular perturbations, applied mathematics, pattern formation
Max Engelstein
Assistant Professor
mengelst@umn.edu
harmonic analysis, geometric measure theory, calculus of variations
Hao Jia
Assistant Professor
partial differential equations, regularity, stability, large data asymptotics
Markus Keel
Professor
partial differential equations; real, harmonic, and functional analysis
Nicolai Krylov
Samuel G. Ordway Professor
partial differential equations, probability
Ru-Yu Lai
Assistant Professor
inverse problems and partial differential equations;
Mitchell Luskin
Professor
numerical analysis, scientific computing, applied mathematics, computational physics
Walter Littman
Professor Emeritus
partial differential equations
Svitlana Mayboroda
Professor
analysis and partial differential equations
Wei-Ming Ni
Professor
wmni@math.umn.edu
nonlinear functional analysis, partial differential equations
Peter Olver
Professor
Lie groups, differential equations, computer vision, applied mathematics, differential geometry, mathematical physics
Peter Polacik
Professor
partial differential equations, dynamical systems
Mikhail Safonov
Professor
partial differential equations, probability
Arnd Scheel
Professor
dynamical systems, partial differential equations, applied math
Daniel Spirn
Professor
partial differential equations, applied mathematics
Vladimir Sverak
McKnight University Professor
partial differential equations
Jiaping Wang
Professor
differential geometry and partial differential equations