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.
Faculty with related interests:
Simon Brendle
ProfessorStanford University
Mathematics
Office: 382-Z
Address:
450 Serra Mall
Bldg. 380
Stanford, CA 94305-2125
Phone: (650) 723-2209
Email: brendle "at" math.stanford.edu
Website: http://math.stanford.edu/~brendle/main.html
Research Interests:
Differential Geometry
Nonlinear Partial Differential Equations
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Rafe Mazzeo
ProfessorStanford University
Mathematics
Office: 383-R
Address:
450 Serra Mall
Bldg. 380
Stanford, CA 94305-2125
Phone: (650) 723-1894
Email: mazzeo "at" 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
Bldg. 380
Stanford, CA 94305-2125
Phone: (650) 723-2081
Email: papanico "at" 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
Bldg. 380
Stanford, CA 94305-2125
Phone: (650) 721-2113
Email: ryzhik "at" math.stanford.edu
Website: http://math.stanford.edu/~ryzhik/
Research Interests:
Applied Mathematics
PDE
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Richard Schoen
Bass Professor of Humanities & SciencesStanford University
Mathematics
Office: 383-T
Address:
450 Serra Mall
Bldg. 380
Stanford, CA 94305-2125
Phone: (650) 725-0854
Email: schoen "at" math.stanford.edu
Website: http://math.stanford.edu/~schoen/
Research Interests:
Differential geometry
PDE
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Leon Simon
Professor EmeritusStanford University
Mathematics
Office: 383-J
Address:
450 Serra Mall
Bldg. 380
Stanford, CA 94305-2125
Phone: (650) 723-3224
Email: lms "at" math.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
Bldg. 380
Stanford, CA 94305-2125
Phone: (650) 723-2226
Email: andras "at" math.stanford.edu
Website: http://math.stanford.edu/~andras/
Research Interests:
Linear PDE
Mathematical scattering theory
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