# 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*