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.

Faculty 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
Steven Strogatz	Dynamical systems applied to physics, biology, and social science.
Nicolas Templier	Number theory, automorphic forms, and mathematical physics
Alex Townsend	Numerical analysis, scientific computing, and numerical algebraic geometry
Alexander Vladimirsky	Numerical methods, dynamical systems, nonlinear PDEs, control theory
Xin Zhou	Geometric Analysis and Calculus of Variations

Emeritus and Other Faculty

Ahmed Bou-Rabee	Probability, elliptic PDE
Leonard Gross	Functional analysis, constructive quantum field theory
John M. Guckenheimer	Dynamical systems
Alfred H. Schatz	Numerical solutions of partial differential equations
John Smillie	Dynamical systems