Papers and Preprints

  1. Seidel elements and potential functions of holomorphic disc counting. With Iritani. (2013) arXiv:1301.5454.
  2. A wall-crossing formula for Gromov-Witten invariants under variation of git quotient. With C. Woodward. (2012) arXiv:1208.1727.
  3. Quantum cohomology and toric minimal model programs. With C. Woodward. (2012) arXiv:1207.3253.
  4. Quantum Witten localization and abelianization for qde solutions. With Woodward. (2013 Revision) (This was previously titled "Area dependence in gaged GW theory") arxiv.org/0811.3358
  5. Deformation of symplectic vortices. With C. Woodward. Ann. Glob. Anal. Geom. (2011) 39 : 45-82. arXiv:0811.3711., springerlink.
  6. Gauged Gromov-Witten theory for small spheres. With C. Woodward. Math. Z. 273 (2013), no. 1-2, 485-514. arxiv:0907.3869.
  7. Symplectic vortices with fixed holonomy at infinity. Joint with C.Woodward. fixed.pdf. Under revision to a joint paper with Andreas Ott, Fabian Ziltener and Chris Woodward. 43 pages. Preliminary version, updated March, 2010.
  8. Seidel elements and mirror transformations. With H. Iritani. Selecta Math. (N.S.) 18 (2012), no. 3, 557--590. arxiv.org:1103.4171
  9. Classifying semi-free hamiltonian $S^1$-manifolds. Int Math Res Notices (2011) Vol. 2011. 387-418. math.SG/0502364. doi:10.1093/imrn/rnq076
  10. Quantum cohomology and $S^1$-actions with isolated fixed points. Trans. Amer. Math. Soc. 358 (2006), 2927-2948.

Interdisciplinary work