Papers and Preprints

1. Affine nil-Hecke Algebras and Shift operators. With Cheuk Yu Mak, Dan Pomerleano, 2022, https://doi.org/10.48550/arXiv.2202.05785
2. On the classification of HTW spaces. 2018, in preparation.
3. Report. Mini-workshop: superpotentials in algebra and geometry. Abstracts from the mini-workshop held February 23--29, 2020. Organized by Lara Bossinger, Eduardo Gonzalez, Konstanze Rietsch and Lauren Williams. Oberwolfach Rep. 17 (2020), no. 1, 569--600.DOI: 10.4171/OWR/2020/10
4. Quantum Kirwan for quantum K-theory. Facets of Algebraic Geometry: A Collection in Honor of William Fulton's 80th Birthday (London Mathematical Society Lecture Note Series). Cambridge: Cambridge University Press. https://doi.org/10.1017/9781108877831.
5. Stable Gauged Maps. with P. Solis and C. Woodward. Stable gauged maps. Algebraic geometry: Salt Lake City 2015, 243--275, Proc. Sympos. Pure Math., 97.1, Amer. Math. Soc., Providence, RI, 2018..
6. Applications of Gauged GW theory: a survey. Morfismos, vol 22 No. 2. (2018) link here Morfismos
7. Properness for scaled affine maps. with P. Solis and C. Woodward. Journal of Algebra, 490, 104--157. (2017). https://doi.org/10.1016/j.jalgebra.2017.06.015
8. 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.
9. A wall-crossing formula for Gromov-Witten invariants under variation of git quotient. With C. Woodward. (2012) arXiv:1208.1727.
10. Quantum cohomology and toric minimal model programs. With C. Woodward. Advances in Mathematics Volume 353, 7 September 2019, Pages 591-646.arXiv:1207.3253. https://doi.org/10.1016/j.aim.2019.07.004
11. 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
12. Deformation of symplectic vortices. With C. Woodward. Ann. Glob. Anal. Geom. (2011) 39 : 45-82. arXiv:0811.3711., springerlink.
13. Gauged Gromov-Witten theory for small spheres. With C. Woodward. Math. Z. 273 (2013), no. 1-2, 485-514. arxiv:0907.3869.
14. Symplectic vortices with fixed holonomy at infinity. Joint with A.Ott, C.Woodward and F. Ziltener. fixed.pdf. Unpublished note.
15. Seidel elements and mirror transformations. With H. Iritani. Selecta Math. (N.S.) 18 (2012), no. 3, 557--590. arxiv.org:1103.4171
16. Classifying semi-free hamiltonian $S^1$-manifolds. Int Math Res Notices (2011) Vol. 2011. 387-418. math.SG/0502364. doi:10.1093/imrn/rnq076
17. Quantum cohomology and $S^1$-actions with isolated fixed points. Trans. Amer. Math. Soc. 358 (2006), 2927-2948.

Interdisciplinary work