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Geometry
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Hyperbolic geometry
Isospectral plane domains
Geometry is the study of rigid properties of space such as distance, angle and curvature. The surface of the earth, with all its mountains and valleys, is topologically the same as a round sphere but is geometrically very different. A major focus of the geometry group at Dartmouth is Riemannian geometry. Examples of questions addressed by members of the Dartmouth geometry group include: Geometry interacts naturally with nearly every area of mathematics. For example, the inverse spectral problem connects with analysis, combinatorics, group theory and number theory.

Members

Peter Doyle
Hyperbolic geometry
Alena Erchenko
Dynamical systems and ergodic theory; Geometry
Carolyn Gordon
Riemannian geometry, especially spectral geometry and Riemannian homogeneous spaces
Craig Sutton
Riemannian geometry, especially spectral geometry and Riemannian homogeneous spaces
David Webb
Differential geometry; K-theory

Activities

Geometry Seminar