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Geometry

Modern geometry takes many different guises, ranging from geometric topology and algebraic geometry and symplectic geometry to geometric analysis (which has a significant overlap with PDE and geometric measure theory) to dynamical problems. 

Stanford has long been one of the key centers in all these aspects of geometry.  Prominent areas of current research among faculty who work in geometry include algebraic geometry, Ricci and mean curvature flows and other curvature equations, minimal surfaces and geometric measure theory, mathematical relativity, spectral geometry, geometric scattering theory, and the geometry and dynamics of the Riemann & Teichmüller moduli spaces.

Faculty

Herald L. and Caroline L. Ritch Professor of Mathematics
  (650) 723-4073
  Building 380, 383-S
Robert Grimmett Professor in Mathematics
  (650) 723-2228
  Building 380, 383-L
  (650) 723-4508
  Building 380, 382-K
  650-723-4157
  Building 380, 383-X
Professor of Mathematics, Cassius Lamb Professor in Natural Sciences
  (650) 723-1894
  Building 380, 383-R
Szegö Assistant Professor, NSF Postdoctoral Fellow
  Building 380, 382-H
  (650) 725-0854
  Building 380, 382-G
  (650) 723-3224
  Building 380, 382-G
Szegö Assistant Professor
  Building 380, 382-B
Robert Grimmett Professor in Mathematics
  (650) 723-7850
  Building 380, 383-Q
Visiting Postdoctoral Scholar
  Building 380, 384-B