Lecture
Notes:
Research Publications:
- Decompositions of non-simple polytopes (joint with J. Agapito), in preparation.
- Hyperpolygon spaces and moduli spaces of parabolic Higgs bundles (joint with A. Mandini), submitted.
- The fundamental group of S^1-manifolds (joint with M. E. Sousa-Dias), Canad. J. Math. 62 (2010), 1082-1098.
- Intersection numbers of polygon spaces (joint with J. Agapito), Trans. Amer. Math. Soc. 361 (2009), 4969-4997.
- Hearing the weights of weighted projective planes (joint with M. Abreu, E. Dryden and P. Freitas), Ann. Global Anal. Geom. 33 (2008), 373-395.
- New polytope decompositions and Euler-Maclaurin formulas for simple integral polytopes
(joint with J. Agapito), Adv. in Math. 214 (2007), 379-416.
- Equivariant cohomology of S^1-actions on 4-manifolds, Canad. Math. Bull. 50 (2007), 365-376.
- Semifree
symplectic circle actions on 4-orbifolds, Trans. Amer. Math. Soc. 358 no. 11 (2006), 4919-4933.
- On
certain symplectic circle actions,
J. Symplectic Geom. 3 no. 3 (2005), 357-383.
- Blowing up symplectic orbifolds, Ann. Global Anal. Geom. 20 (2001), 117-162.
- Circle Actions on Symplectic Manifolds, Ph.D. Thesis, SUNY at
Stony Brook, 1999.