Analysis and Partial Differential Equations

Analysis is broadly concerned with problems and techniques that involve estimation, approximation and limiting processes. Many specific areas of math fall entirely or largely under the analysis umbrella. These include riemannian geometry, complex analysis, dynamical systems, probability and many aspects of mathematical physics.  Differential equations, which aims to understand functions from relationships among their derivatives, plays a particularly important role in most of these areas and as a subfield of analysis in its own right.
 

Faculty

 

Areas of Research

Jeffrey Diller   Complex Analysis and Geometry, Dynamical Systems
Karsten Grove   Differential Geometry and Topology
Matthew Gursky   Differential Geometry and Partial Differential Equations
Brian C. Hall   Mathematical Physics and Complex Analysis
Qing Han   Partial Differential Equations and Differential Geometry
Richard K. Hind   Differential Geometry
Gerard Misiolek   Global Analysis, Partial Differential Equations
Liviu Nicolaescu   Topology and Probability
Marco Radeschi   Differential Geometry
Mei-Chi Shaw   Complex Analysis and Partial Differential Geometry
Dennis Snow   Complex Geometry
Gabor Szekelyhidi   Complex and Partial Differential Geometry

Current Visiting Faculty

Greg Edwards    
Harrison Pugh    
Priyanka Rajan    
Behrouz Taji   Complex Geometry and Algebraic Geometry

Emeritus Faculty

   
Brian B. Smyth   Differential Geometry
Nancy Stanton   Complex Geometry, Several Complex Variables and Partial Differential Equations
Frederico J. Xavier   Differential Geometry and Geometric Analysis

Activities

   
Felix Klein Seminar
PDE, Complex Analysis and Differential Geometry Seminar