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Oguz Durumeric |
His interests include the following: Global Riemannian Geometry. Geometric and regularity properties
of limit metrics in the sense of Gromov and its applications to Geometry.
Curvature, volume and topology relations, Finiteness Theorems, and study
of injectivity radius. Maximization of normal injectivity radius
of submanifolds, particularly for the thicknesses of ideal knots in 3-space.
The ideal knots are of special interest in the research of large molecules
such as DNA. More information (including his CV and preprints) can
be accessed at his
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Hao Fang |
His interests are in geometry, especially geometric analysis,
spectral invariants and applications to algebraic geometry and mathematical physics.
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Erin Pearse |
His research revolves around the study of complex
dimensions. This is an extension of real-valued dimensions like Hausdorff or
Minkowski/box dimensions. Richly structured sets (like fractals) typically
have an infinite sequence of complex dimensions, and these may allow one to
study connections between the geometry and spectrum of the set. I am
especially interested in how the complex dimensions describe the "geometric
oscillations" (that is, the oscillatory behavior of the tube formula) of a
set, and how this can be used to study the curvature of fractal sets. This
theory touches on harmonic analysis, dynamical systems, geometric measure
theory, and convex geometry. Dr. Pearse is a VIGRE post-doctoral fellow.
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Walter Seaman |
His research interests in Differential Geometry center around Curvature
and Cohomology relations, Complex and Kaehler Geometry, Hodge Theory and
Higgs Bundles.
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Lihe Wang |
His research is concerned with nonlinear partial differential equations and geometric evolutions. Examples include nonlinear elliptic and parabolic equations and flows of surfaces with their curvatures. Home Page |
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Alumni |
Steve Bean
Larry Peterson
Ben Teo
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Current
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Related Sites |
Please visit the
Differential
Geometry Images page. |
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