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EducationPh.D. (2002) Massachusetts Institute of Technology Research Area: Symplectic GeometryThe focus of my research is symplectic geometry and its relationships with combinatorics, algebraic topology, and algebraic geometry. Recent projects include: (1) studying real loci of symplectic manifolds and the corresponding varieties in real algebraic geometry; and (2) investigating the topology of symplectic quotients that are orbifolds. Selected PublicationsThe equivariant cohomology of Hamiltonian G-spaces from residual S^1 actions (with Rebecca Goldin) Math. Res. Letters 8 (2001), 67–78. Distinguishing chambers of the moment polytope (with Rebecca Goldin and Lisa Jeffrey), J. Symp. Geom. 2 no. 1 (2003), 109–131. The mod 2 equivariant cohomology of real loci (with Daniel Biss and Victor Guillemin), Adv. in Math. 185 (2004), 370–399. Conjugation spaces (with Jean-Claude Hausmann and Volker Puppe), Algebr. Geom. Topol. 5 (2005), 923–964. Computation of generalized equivariant cohomologies of Kac-Moody flag varieties (with Megumi Harada and Andre Henriques), Adv. in Math. (to appear). Orbifold cohomology of torus quotients (with Rebecca Goldin and Allen Knutson), preprint. Last modified: September 11, 2006 |