 Home ›
 Research ›
 Analysis and Partial Differential Equations
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.
Activities
Regular Faculty

Jeffrey Diller
Professor
Complex Analysis and Geometry, Dynamical Systems

Nicholas Edelen
Assistant Professor
Differential Geometry & PDE's

Matthew Gursky
Professor
Differential Geometry and Partial Differential Equations

Brian C. Hall
Professor
Mathematical Physics and Lie Groups

Qing Han
Professor
Differential Geometry and Partial Differential Equations

Richard Hind
Professor
Differential Geometry

Gerard Misiolek
Professor
Analysis and Geometry

Liviu Nicolaescu
Professor, Director of Undergraduate Honors Math Program
Topology and Probability

MeiChi Shaw
Professor
Complex Analysis and Partial Differential Geometry

Jiahong Wu
Professor
Fluid Mechanics and Partial Differential Equations
Emeriti Faculty

Karsten Grove
Emeritus  Full
Differential Geometry and Topology

Brian Smyth
Emeritus  Full
Differential Geometry

Dennis Snow
Professor
Complex Analysis, Complex Geometry

Nancy Stanton
Emerita  Full
Complex Geometry, Several Complex Variables and Partial Differential Equations

Frederico Xavier
Emeritus  Full
Differential Geometry and Geometric Analysis
Adjunct or Concurrent Faculty

Marco Radeschi
Adjunct Professor
Differential Geometry, Topology and differential/ Riemannian geometry

Gábor Székelyhidi
Department of Mathematics, Northwestern University
Complex and Partial Differential Geometry
Graduate Students

Feibai Ren
Real Analysis / PDE