My primary field of study is differential geometry. Specifically, I
study Hamiltonian actions in symplectic geometry. Recently I have become
interested in Dirac geometry and generalized complex geometry.
Talks

The pigeonhole principle, Quantitative Reasoning course, Marymount
Manhattan College, 14 April 2010,
[slides]

Bicycle math, Math, Computer Science, & Physics Seminar,
Bard College, 1 April 2010,
[slides]

Bicycle math, Olivetti Seminar, Cornell University, 30 March 2010,
[poster], [slides]

Hamiltonian actions on integral Kähler manifolds, Mathematics
Department Colloquium, Georgie Southern University, 6 November 2009.

A little taste of symplectic geometry,
Mathematics Seminar,
Richard Stockton College, 19 October 2009, [slides].

Hamiltonian actions in generalized complex geometry, Lie Groups
Seminar, Cornell University, 25 September 2009, [notes].

Groups, groupoids, and symmetry, Student Seminar, Union
College, 22 April 2009, [slides].

What's purple and commutes, and ends with "oid"?, Olivetti
Seminar, Cornell University, 24 February 2009, [poster].

A convexity theorem for the real part of a Borel invariant
subvariety, contributed paper, 2009 Joint Mathematics Meetings,
Washington, DC, 5 January 2009, [slides].

What is a connection, and what is it good for?, Olivetti
Seminar, Cornell University, 1 April 2008, [notes].

How to describe a moment polytope using a line bundle, Lie Groups
Seminar, Cornell University, 15 February 2008, [slides].

Convexity theorems from positive Hermitian line bundles, Lie
Groups Seminar, Cornell University, 2 November 2007.

The nonabelian convexity theorem, unofficial Bernstein Seminar,
Cornell
University, 19 October 2007.

A little taste of symplectic geometry, Olivetti Seminar, Cornell
University, 4 October 2007, [poster],
[slides].

A little taste of symplectic geometry, Math and CS Seminar, Bard
College, 2 May 2007, [handout].

Good news, everyone! Group actions, torsors, and affine
space, Olivetti Seminar, Cornell University, 29 August 2006, [poster].

A little Lie algera cohomology, if you please, Olivetti Seminar,
Cornell University, 31 January 2006, [poster].

The Lie bracket and the commutator of flows, Olivetti Seminar,
Cornell University, 25 October 2005, [notes],
[poster image].
Papers

A convexity theorem for the involution fixed set of a Borel invariant
subvariety, Proc. Amer. Math. Soc. 137 (2009), 14471458, arXiv:0709.3287v3.

Combinatorial Laplacians of Simplicial Complexes, Senior Thesis,
Bard College, May 2002, [pdf].
Notes

The very, very basics of Hamiltonian actions on symplectic
manifolds, 12 March 2009, [pdf].

The symplectic integrability condition, answering what the closed
condition of a symplectic form means, 3 September 2008, [pdf].

About
Lie groups, some notes about Lie groups, 23 April 2008,
[pdf].

About connections, some (unpolished and incomplete) notes about
connections from my Olivetti
talk, 1 April
2008,
[pdf].

The orientation manifesto (for undergraduates), some notes on
orienting manifolds, 11 November 2007, [pdf].
