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 |
Activities and Resources:
- Analysis Seminar
- Dynamical Systems Seminar
- Geometric Analysis Seminar
- Scientific Computing and Numerics Seminar
- 5th Cornell Conference on Analysis, Probability, and Mathematical Physics on Fractals
- Research Experiences for Undergraduates
- Dynamics at Cornell — dynamical systems software and information
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