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I received my Ph.D in August, 2004 from Cornell University, with Reyer Sjamaar as my thesis advisor. In the academic year 2004-2005, I was a visiting assistant professor at the University of Illinois at Urbana-Champaign; in the academic year 2005-2008, I was a Postdoctoral Fellow in the Department of Mathematics at the University of Toronto, where my mentors are Lisa Jeffrey, Yael Karshon, and Eckhard Meinrenken . Currently I am a tenure track assistant professor in the Department of Mathematical Sciences at Georgia Southern University.
I began teaching in 1999 as a teaching assistant at Cornell University. Since then, I have had ten semester-long appointments as a teaching assistant at Cornell University; and I have been an instructor with the University of Illinois and the University of Toronto. I have taught a variety of undergraduate courses ranging from introductory calculus to upper level probability and geometry courses.
MATH 2242 E, H; Calculus II
2: The log-concavity conjecture for
the Duistermaat-Heckman measure revisited, International
Mathematics Research Notices, (2008) Vol. 2008, article ID rnn027, 19 pages,
doi:10.1093/imrn/rnn027. PDF.
3: Generalized geometry, equivariant
$\overline{\partial}\partial$-lemma, and torus actions, math.DG/0607401, the
Journal of Geometry and Physics, 57 (2007) 1842-1860. PDF
4: Symmetries in generalized K\"ahler geometry, with Susan Tolman,
Commun. Math. Phys., 208 (206) 199-222. PDF
5: Examples of Non-Kahler Hamiltonian circle manifolds with the
strong Lefschetz property, Advances in Math., 208 (2007), issue 2, 699-709.
PDF
6: Equivariant symplectic Hodge theory and the $d_G$, $\delta$-lemma, with R., Sjamaar, J. Symplectic Geom. 2 (2003), no. 2, 267-278. PDF
2: Geography of non-K\"ahler symplectic torus actions,
with Alvaro Pelayo, 13 pages, submitted, August 2007. PDF
3: $d_G$, $\delta$-lemma for equivariant forms with generalized
coefficient, 19 pages, submitted.
4: Cohomology of generalized complex quotients I, with Tom
Baird, arXiv: math.DG/0802.1341.
1: [PDF]
Hamiltonian actions on generalized complex manifolds and equivariant
$\overline{\partial}_G\partial$-lemma, CMS 2006 winter meeting, Toronto,
Canada.
2: [PDF]Hamiltonian symmetry in generalized complex geometry, November, 2006, University of Western Ontario