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Analysis

Mathematical analysis covers a wide range of different subjects. Areas currently active at Cornell include: dynamics, harmonic analysis, potential analysis, partial differential equations, geometric analysis, applied analysis, and numerical methods. In addition, we value the many interactions with other areas such as differential geometry, geometry, Lie theory, combinatorics, and probability.

Notable contributions of Cornell faculty to analysis include: Larry Payne’s work on ill-posed problems, Len Gross’s logarithmic Sobolev inequality, Strichartz’s estimates, James Eell’s work on harmonic maps (joint with J. Sampson), and Richard Hamilton’s seminal contribution to the Ricci flow.

 

Field Members

Xiaodong Cao Differential geometry and geometric analysis
Timothy J. Healey Applied analysis and partial differential equations, mathematical continuum mechanics
John H. Hubbard Analysis, differential equations, differential geometry
Camil Muscalu Harmonic analysis and partial differential equations
Richard H. Rand Nonlinear dynamics
Laurent Saloff-Coste Analysis, potential theory, probability and stochastic processes
Robert S. Strichartz Harmonic analysis, partial differential equations, analysis on fractals
Steven Strogatz Dynamical systems applied to physics, biology, and social science.
Nicolas Templier Number theory, automorphic forms, and mathematical physics
Alexander Vladimirsky Numerical methods, dynamical systems, nonlinear PDEs, control theory

 

Emeritus and Other Faculty

James H. Bramble              
Numerical solutions of partial differential equations
Federico Fuentes Finite element analysis, numerical analysis, computational mechanics, applied nonlinear dynamics
Nataliya Goncharuk Dynamical systems and differential equations
Leonard Gross Functional analysis, constructive quantum field theory
John M. Guckenheimer Dynamical systems
Benjamin Harris Abstract Harmonic Analysis
Brian Hwang Number theory, representation theory, algebraic geometry
Artem Pulemotov Geometric analysis
Alfred H. Schatz Numerical solutions of partial differential equations
John Smillie Dynamical systems