# Mathematical Physics

**Douglas Arnold**

McKnight Presidential Professor

arnold@umn.edu

Numerical analysis, differential equations,

mechanics, computational relativity.

**Wei-Kuo Chen***Associate Professor*

wkchen@umn.edu*probability theory, mathematical physics*

**Jack Conn***Associate Professor*

conn@math.umn.edu*differential geometry, mathematical physics*

**Ru-Yu Lai***Assistant Professor*

rylai@math.umn.edu*inverse problems and partial differential equations*

**Mitchell Luskin***Professor*

luskin@math.umn.edu*numerical analysis, scientific computing, applied mathematics, computational physics*

**Svitlana Mayboroda***Professor*

svitlana@umn.edu*analysis and partial differential equations*

**Willard Miller, Jr.***Professor Emeritus*

miller@math.umn.edu*Lie groups, special functions, q-series, academic administration*

**Peter Olver***Professor*

olver@umn.edu*Lie groups, differential equations,
computer vision, applied mathematics,
differential geometry, mathematical physics*

**Peter Rejto***Professor Emeritus*

rejto@math.umn.edu*functional analysis and its applications to quantum mechanics*

**Alexander Voronov ***Professor*

voronov@math.umn.edu *mathematical physics, algebraic topology, algebra, algebraic geometry*

## More About Faculty Research Areas

- Algebra
- Algebraic Geometry
- Algebraic Topology
- Analysis
- Applied Mathematics
- Combinatorics
- Complex Analysis
- Data Science
- Differential Geometry
- Dynamical Systems and Differential Equations
- Inverse Problems and Imaging
- Lie Theory
- Materials Science
- Mathematical Biology
- Mathematical Fluid Mechanics
- Mathematical Logic
- Mathematics Education
- Number Theory and Automorphic Forms
- Numerical Analysis
- Partial Differential Equations
- Probability and Stochastic Processes
- The Faculty Research Overview