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## Greetings to you!I HAVE GRADUATED!!For the 2010–2011 academic year, I will be a visiting assistant professor of mathematics at Lenoir–Rhyne University in Hickory, North Carolina. Until very recently, I was a graduate student in the mathematics department of Cornell University in Ithaca, New York. I recently completed my doctoral work under the supervision of my advisor, Reyer Sjamaar. For my undergraduate studies, I attended Bard College in lovely Annadale-on-Hudson, New York, where I earned a BA degree in mathematics in 2002. I began graduate studies at Cornell University in 2002. I am a Capricorn, and I love turtles, pumpkins, and mashed potatoes. ## My ResearchI study actions of Lie groups on symplectic manifolds. Symplectic manifolds are the natural setting for Hamiltonian mechanics, but are also extremely interesting as purely mathematical objects. Group actions describe symmetries, and hence the geometry, of the acted-upon object. In many cases (i.e. if the action is Hamiltonian), features of a group action on a symplectic manifold can be encoded in a certain vector-valued function on the manifold, called a moment map. These have many remarkable properties, such as those described in the Atiyah/Guillemin-Sternberg Theorem.Symplectic geometry, and more specifically, the study of Hamiltonian actions, is a very pretty and very rich field. Some of the richest prettiness comes from its interesection with other kinds of geometry, such as complex and algebraic. This is where my work usually takes place. ## Links:Talks and papers and notesTeaching More links My department webpage My old webpage (less professional, more fun) ## Professional MembershipsWebsite last updated: August 1, 2010. |