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