Joan Birman
Classical knot theory, theory of braids,
knots in dynamical systems, mapping class groups of surfaces.
Martin Bridson
Geometric group theory; geometry in the presence of non-positive
curvature; low-dimensional topology.
Jim Bryan
Algebraic geometry. Gromov-Witten theory, moduli spaces, gauge theory.
Ben Chow
Geometric evolution equations, Ricci flow, and geometric analysis.
Ralph Cohen
Algebraic Topological Aspects of four dimensional geometry (Gauge
theory)
and Symplectic Geometry.
Diffeomorphisms, Embeddings, and Immersions of Manifolds.
K -theory, Homotopy Theory.
Braid groups, loop spaces, and loop groups.
Tobias Colding
Differential Geometry, Geometric Analysis and PDE.
Bill Dwyer
Algebraic topology, stable and unstable homotopy theory, algebraic
K-theory
Yasha Eliashberg
Symplectic geometry and topology,
several complex variables,
singularities of smooth mapppings.
Benson Farb
Discrete subgroups of Lie groups, geometric group theory,
large-scale geometry, nonpositive curvature, mapping class
groups, actions of infinite groups on manifolds
Steve Ferry
High-dimensional geometric topology and related areas of differential geometry
Ronald Fintushel
Topology/geometry in dimension 4, gauge theory.
Mike Freedman
Geometry.
David Gabai
Low Dimensional Topology, Knot Theory, Hyperbolic Geometry, Foliation and
Lamination Theory.
Paul Goerss
Algebraic Topology; homotopy theory, stable homotopy theory.
In particular, I'm interested in the interplay between stable homotopy
theory and the algebraic geometry of formal groups - "the chromatic"
approach to stable homotopy theory.
Lothar Göttsche
Algebraic Geometry. Moduli spaces, Gromov-Witten invariants, enumerative
geometry, gauge theory.
Tom Goodwillie
Manifolds, algebraic K-theory, homotopy theory
Cameron Gordon
Knot theory, 3-dimensional topology.
Eleny Ionel
Symplectic topology, in particular Gromov-Witten and enumerative
invariants; moduli spaces and gauge theory.
Vaughan Jones
Knots and braids, quantum invariants of 3 manifolds,
Loop groups and their representations.
Robion Kirby
Geometric and low dimensional topology, and, more particularly,
the topology of 4-manifolds and topological quantum field theory.
Frances Kirwan
Symplectic and algebraic geometry, particularly
group actions on symplectic manifolds and algebraic varieties,
geometric invariant theory and moduli spaces.
Wolfgang Lück
L2-invariants, K- and L-theory, equivariant algebraic topology,
manifolds
Haynes Miller
Homotopy theory, relations between elliptic curves and homotopy theory,
the Steenrod algebra, the homotopy theory of Lie groups.
Shigeyuki Morita
Low dimensional topology, mapping class groups of surfaces,
moduli space of curves, diffeomorphism groups
Tom Mrowka
Low dimensional topology. Geometric PDEs
Walter Neumann
Topology/geometry in low dimensions, geometric structures,
geometric group theory, topology of algebraic varieties.
Jean-Pierre Otal
Low-dimensional topology, hyperbolic manifolds, geodesic flows.
Peter Ozsvath
Gauge theory, low-dimensional topology, symplectic geometry
Leonid Polterovich
Symplectic topology, geometric and topological aspects of dynamical
systems
Colin Rourke
PL Topology. Low-dimensional topology. Diagrams in group theory.
Ronald J. Stern
Topology and (complex, symplectic and differential) geometry in four and
fewer dimensions.
Peter Teichner
Mathematical aspects of quantum field theory, elliptic cohomology,
classical concordance.
Gang Tian
Symplectic manifolds, differential and
complex geometry, geometric analysis.
Links:
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