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

Faculty with related interests:

### Rafe Mazzeo

ProfessorStanford University

Mathematics

**Office:**383-R

**Address:**

450 Serra Mall

Building 380

Stanford, CA 94305-2125

**Phone:**(650) 723-1894

**Email:**mazzeo@math.stanford.edu

**Website:**http://math.stanford.edu/~mazzeo/

**Research Interests:**differential geometry; microlocal analysis; PDE

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### George Papanicolaou

Robert Grimmett Professor of MathematicsStanford University

Mathematics

**Office:**383-V

**Address:**

450 Serra Mall

Building 380

Stanford, CA 94305-2125

**Phone:**(650) 723-2081

**Email:**papanico@math.stanford.edu

**Website:**http://math.stanford.edu/~papanico/

**Research Interests:**applied & computational mathematics; PDE; stochastic processes

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### Lenya Ryzhik

ProfessorStanford University

Mathematics

**Office:**382-U

**Address:**

450 Serra Mall

Building 380

Stanford, CA 94305-2125

**Phone:**(650) 721-2113

**Email:**ryzhik@math.stanford.edu

**Website:**http://math.stanford.edu/~ryzhik/

**Research Interests:**applied mathematics; PDE

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### Richard Schoen

Professor EmeritusStanford University

Mathematics

**Office:**382-G

**Address:**

450 Serra Mall

Building 380

Stanford, CA 94305-2125

**Phone:**(650) 725-0854

**Email:**schoen@stanford.edu

**Website:**http://math.stanford.edu/~schoen/

**Research Interests:**differential geometry; PDE

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### Leon Simon

Professor EmeritusStanford University

Mathematics

**Office:**382-G

**Address:**

450 Serra Mall

Building 380

Stanford, CA 94305-2125

**Phone:**(650) 723-3224

**Email:**lsimon@stanford.edu

**Research Interests:**differential geometry; PDE; real analysis

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### András Vasy

ProfessorStanford University

Mathematics

**Office:**383-M

**Address:**

450 Serra Mall

Building 380

Stanford, CA 94305-2125

**Phone:**(650) 723-2226

**Email:**andras@math.stanford.edu

**Website:**http://math.stanford.edu/~andras/

**Research Interests:**linear PDE; mathematical scattering theory

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