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Analysis and PDE are a major strength of Stanford’s Department of Mathematics, with strong connections to geometry and applied mathematics (since PDE describe fundamental aspects of these fields). The fields of interest represented among the senior faculty include elliptic and parabolic PDE, especially in connection with Riemannian geometry; propagation phenomena such as waves and scattering theory, including Lorentzian geometry; microlocal analysis, which gives a phase space approach to PDE; geometric measure theory; and stochastic PDE and wave propagation in random media as well as PDE of applied mathematics.

Weekly seminar links:

Analysis & PDE

PDE & Stochastic Asymptotics

Student Analysis & Geometry

Faculty with related interests:

Rafe Mazzeo

Professor
Stanford University
Mathematics

Office: 383-R

Address:
450 Serra Mall
Bldg. 380
Stanford, CA 94305-2125

Phone: (650) 723-1894
Email:
Website: http://math.stanford.edu/~mazzeo/
Research Interests: Differential geometry Microlocal analysis, PDE

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Papanicolaou, George
Robert Grimmett Professor of Mathematics
383-V

George Papanicolaou

Robert Grimmett Professor of Mathematics
Stanford University
Mathematics

Office: 383-V

Address:
450 Serra Mall
Bldg. 380
Stanford, CA 94305-2125

Phone: (650) 723-2081
Email:
Website: http://math.stanford.edu/~papanico/
Research Interests: Applied & Computational mathematics PDE Stochastic processes

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Lenya Ryzhik

Professor
Stanford University
Mathematics

Office: 382-U

Address:
450 Serra Mall
Building 380
Stanford, CA 94305-2125

Phone: (650) 721-2113
Email:
Website: http://math.stanford.edu/~ryzhik/
Research Interests: Applied Mathematics PDE

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Schoen, Richard
Professor Emeritus
382-G

Richard Schoen

Professor Emeritus
Stanford University
Mathematics

Office: 382-G

Address:
450 Serra Mall
Bldg. 380
Stanford, CA 94305-2125

Phone: (650) 725-0854
Email:
Website: http://math.stanford.edu/~schoen/
Research Interests: Differential geometry PDE

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Simon, Leon
Professor Emeritus
382-G

Leon Simon

Professor Emeritus
Stanford University
Mathematics

Office: 382-G

Address:
450 Serra Mall
Building 380
Stanford, CA 94305-2125

Phone: (650) 723-3224
Email:
Research Interests: Differential geometry PDE Real Analysis

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András Vasy

Professor
Stanford University
Mathematics

Office: 383-M

Address:
450 Serra Mall
Bldg. 380
Stanford, CA 94305-2125

Phone: (650) 723-2226
Email:
Website: http://math.stanford.edu/~andras/
Research Interests: Linear PDE Mathematical scattering theory

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Zhu, Xuwen
Szegö Assistant Professor
383-FF

Xuwen Zhu

Szegö Assistant Professor
Stanford University
Mathematics

Office: 383-FF

Address:
450 Serra Mall
Building 380
Stanford, CA 94305-2125

Phone: (650)723-5742
Email:
Website: http://web.stanford.edu/~xuwenzhu/
Research Interests: Partial Differential Equations Microlocal Analysis Differential Geometry

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