GEOMETRY AND TOPOLOGY EDITORS INTERESTS 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. Simon Donaldson 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 John Morgan 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: G and T home page The editors list
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