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 Research
I 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 notes
Teaching
More links
My
department webpage
My old webpage (less professional, more fun)
Professional Memberships
 &emsp  &emsp
Website last updated: August 1, 2010.
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