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), 1447-1458, 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].
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