Research

As a geometer and topologist, I am interested in a broad range of geometry and topology questions.
My specialty is symplectic geometry and topology, a branch of differential geometry and topology.
I am also interested in areas close to symplectic geometry and topology, such as contact geometry
and topology, complex geometry, Kahler geometry, and mathematical physics. My current research
interests include the study of symplectomorphism groups, symplectic group action, Gromov-Witten
theory, and Floer theory.

Books:
With R. Umble, Transformational Plane Geometry, Textbook in Mathematics, Taylor & Francis/CRC Press (2014)

Articles:
1. The bounded isometry conjecture for the Kodaira-Thurston manifold and the 4-torus, Israel J. Math. 176, 285-306 (2010)
2. Bi-invariant metrics on the group of symplectomorphisms, Trans. Amer. Math. Soc. 361, 3343-3357 (2009)
3. Bi-invariant norms on the group of symplectomorphisms, Ph.D. Dissertation, Stony Brook University (2006)

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