Research Insterests

I am interested in Algebraic Geometry, Kahler Geometry, with special emphasis on Gromov-Witten theory and Quantum Schubert Calculas. Currently, I am particularly interested in the following topics:
1)  Quantum K-theory of flag varieties.
2)  Mirror symmetry for flag varieties.
3)  Primitive forms and Landau-Ginzburg B-model.
4)  Conjecture O and Gamma Conjecturs by Galkin-Golyshev-Iritani.


Preprints and work in progress 


Accepted/Published papers (Pdf files here may be slightly different from the published version)

  1. (with N.-C. Leung)    Hard Lefschetz actions in Riemannian geometry with special holonomyMath. Res. Lett. 15 (2008), no. 4, 683-698.
  2. (with N.-C. Leung)    Functorial relationships between QH^*(G/B) and QH^*(G/P).  J. Differential Geom. 86 (2010), no. 2, 303-354.
  3. (with N.-C. Leung)    Gromov-Witten invariants for G/B and Pontryagin product for OmegaKTran. Amer. Math. Soc. (2012) no. 5, 2567-2599.
  4. (with N.-C. Leung)    Classical aspects of quantum cohomology of generalized flag varieties.. Int. Math. Res. Not. IMRN (2012), no. 16, 3706-3722.
  5. (with N.-C. Leung)    Quantum Pieri rules for tautological subbunldes, Adv. Math. 248 (2013), 279-307.
  6. (with L.C. Mihalcea)  K-theoretic Gromov-Witten invariants of lines in homogeneous spacesInt. Math. Res. Not. IMRN (2014), no. 17, 4625-4664.
  7.  Functorial relationships between QH^*(G/B) and QH^*(G/P) (II). Asian J. Math. 19 (2014), no.2, 203-234.
  8. (with Y. Huang)                On equivariant quantum Schubert calculus for G/P,  J. Algebra 441 (2015), 21每56.  
  9. (with V. Ravikumar)         Equivariant Pieri rules for isotropic Grassmannians,  Math. Ann. 365 (2016), no. 1-2, 881每909.
  10. (with D. Cheong)           On the Conjecture O for G/PAdv. Math. 306 (2017), 704--721.
  11. (with S. Li, K. Saito and Y. Shen)    Mirror symmetry for exceptional unimodular singularities,   J. Eur. Math. Soc.19 (2017), no. 4, 1189每1229.  (Codes for the four-point functions in the appendix: .nb file via mathematica or pdf file).