Papers and Preprints

  1. On the classification of HTW spaces. 2018, in preparation.
  2. Quantum Kirwan for quantum K-theory. With Woodward, in preparation. 2016.
  3. Stable Gauged Maps. with P. Solis and C. Woodward. To appear in AMS Proceedings of Symposia in Pure Mathematics. 2018.
  4. Properness for scaled affine maps. with P. Solis and C. Woodward. Journal of Algebra, 490, 104--157. (2017)
  5. Seidel elements and potential functions of holomorphic disc counting. With Iritani. Tohoku Math. J. (2) Volume 69, Number 3 (2017), 327-368 arXiv:1301.5454.
  6. A wall-crossing formula for Gromov-Witten invariants under variation of git quotient. With C. Woodward. (2012) arXiv:1208.1727.
  7. Quantum cohomology and toric minimal model programs. With C. Woodward. (2012) arXiv:1207.3253.
  8. Quantum Witten localization and abelianization for qde solutions. With Woodward. (2013 Revision) (This was previously titled "Area dependence in gaged GW theory")
  9. Deformation of symplectic vortices. With C. Woodward. Ann. Glob. Anal. Geom. (2011) 39 : 45-82. arXiv:0811.3711., springerlink.
  10. Gauged Gromov-Witten theory for small spheres. With C. Woodward. Math. Z. 273 (2013), no. 1-2, 485-514. arxiv:0907.3869.
  11. Symplectic vortices with fixed holonomy at infinity. Joint with A.Ott, C.Woodward and F. Ziltener. fixed.pdf. Unpublished note.
  12. Seidel elements and mirror transformations. With H. Iritani. Selecta Math. (N.S.) 18 (2012), no. 3, 557--590.
  13. Classifying semi-free hamiltonian $S^1$-manifolds. Int Math Res Notices (2011) Vol. 2011. 387-418. math.SG/0502364. doi:10.1093/imrn/rnq076
  14. Quantum cohomology and $S^1$-actions with isolated fixed points. Trans. Amer. Math. Soc. 358 (2006), 2927-2948.

Interdisciplinary work

  • Detecting Intermediate Structures in Protein Conformational Pathways Using Algebraic Topology With N. Haspel and D. Luo. To appear in BMC Bioinformatics.
  • Detecting Intermediate Structures in Protein Conformational Pathways Using Hierarchical Clustering With N. Haspel and D. Luo. Proceedings ICCABS 2016.
  • Topological properties of the configuration spaces of proteins. With Haspel, N. In Proc. 4th Int. Conf. on Bioinformatics and Computational Biology (BiCOB), Las Vegas, NV, USA, March 2012. ISCA (International society of computers and their applications).