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.

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- (with N.-C. Leung) Appendix to the paper "Functorial relationships between QH^*(G/B) and QH^*(G/P)".
- (with S. Li and K. Saito)
*Primitive forms via polyvector fields*, preprint at arxiv: math.AG/1311.1659**.** - (with
N.-C. Leung)
*An update of quantum cohomology of homogeneous varieties*, in preprint -
(with
D. Hwang, H. Lee, and J.-H. Lee)
*W-translated Schubert divisors and transversal intersections*, - (with
T. Lam,
L. Mihalcea and M. Shimozono) A
conjectural Peterson isomorphism in K-theory,
preprint
- (with
L. Mihalcea and R. Shifler)
*On the Conjecture O for odd symplectic Grassmannians*, preprint

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- (with N.-C. Leung)
*Hard Lefschetz actions in Riemannian geometry with special holonomy*. Math. Res. Lett. 15 (2008), no. 4, 683-698. - (with N.-C. Leung) Functorial relationships between QH^*(G/B) and QH^*(G/P). J. Differential Geom. 86 (2010), no. 2, 303-354.
- (with N.-C. Leung) Gromov-Witten invariants for G/B and Pontryagin product for OmegaK. Tran. Amer. Math. Soc. (2012) no. 5, 2567-2599.
- (with N.-C. Leung)
*Classical aspects of quantum cohomology of generalized flag varieties*..**Int. Math. Res. Not****. IMRN** - (with N.-C. Leung)
*Quantum Pieri rules for tautological subbunldes*,**Adv. Math****.**248 (2013), 279-307. - (with L.C. Mihalcea)
*K-theoretic Gromov-Witten invariants of lines in homogeneous spaces.***Int. Math. Res. Not****. IMRN** -
Functorial relationships between QH^*(G/B) and QH^*(G/P) (II).
**Asian J. Math**. 19 (2014), no.2, 203-234. -
(with
Y.
Huang)
*On equivariant quantum Schubert calculus for G/P*,**J. Algebra**441 (2015), 21每56. - (with
V. Ravikumar)
*Equivariant Pieri rules for isotropic Grassmannians*,**Math. Ann.**365 (2016), no. 1-2, 881每909. -
(with D. Cheong)
*On the Conjecture O for G/P*,**Adv. Math****.**306 (2017), 704--721. -
(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.****.**

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