个人简介
Employment
2014 -present: Professor Tsinghua University
2012 -2014: Assistant Professor Boston University
2011 -2012: Boas Assistant Professor (Postdoctoral Fellowship) Northwestern University
- Visiting positions
2019 -2020: Visiting fellow Institute for Advanced Study
2014 -2015: Visiting fellow Perimeter Institute for Theoretical Physics
2014 -2020: Affiliated Visiting Senior Scientist Kavli IPMU at University of Tokyo
- Service positions
2020-2022, Associate Dean Qiuzhen College, Tsinghua University
2019-2020, Associate Dean BIMSA, Yanqi Lake Beijing
2017-2020, Associate Dean Dept. of Math. Sci., Tsinghua University
Education
Ph.D. in Mathematics, 2006-2011 Harvard University
M.Phil. in Mathematics, 2003-2005 Univ. of Sci. & Tech. of China
B.Sc. in Mathematics, 1999–2003 Univ. of Sci. & Tech. of China
Awards
National Key Research and Development Program of China 2020YFA0713000 (PI), 2021-2025
NSF Beijing Key Project, Z180003 (co-PI) 2018.12-2021.12, Geometry and Category on Calabi-Yau manifolds
NSF Grant DMS-1309118 (PI) 2013-2016, Geometric Aspects of Quantum Field Theory and Topological String
Morningside Medal of Mathematics: Gold Medal Award, 2016
近期论文
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Quantum Algebra of Chern-Simons Matrix Model and Large N Limit (with S.Hu, D. Ye, Y. Zhou), arXiv:2308.14046 [math.QA]
Vertex algebras and quantum master equation . J.Diff.Geom. 123 (2023), no 3, 461 - 521.
Regularized Integrals on Elliptic Curves and Holomorphic Anomaly Equations (with J. Zhou). Commun. Math. Phys. 401, pp 613–645 (2023).
Quadratic Duality for Chiral Algebras (with Z. Gui, K. Zeng), arXiv:2212.11252 [math.QA]
On the L2-Hodge theory of Landau-Ginzburg models (with H. Wen). Adv. Math. 396 (2022) 108165
Landau-Ginzburg mirror symmetry conjecture (with W. He, Y. Shen, R. Webb). J. Eur. Math. Soc. Volume 24, Issue 8, (2022), pp. 2915–2978
Elliptic Trace Map on Chiral Algebras (with Z. Gui), arXiv:2112.14572 [math.QA]
Regularized Integrals on Riemann Surfaces and Modular Forms (with J. Zhou). Commun. Math. Phys. 388, 1403–1474 (2021).
Geometry of Localized Effective Theories, Exact Semi-classical Approximation and the Algebraic Index (with Z.Gui, K.Xu). Commun. Math. Phys. 382, 441–483 (2021).
Anomaly cancellation in the topological string (with K. Costello). Adv. Theo. Math. Phys. Vol. 24, No. 7 (2020), pp. 1723-1771.
Dispersionless Integrable Hierarchy via Kodaira-Spencer Gravity (with W.He, X.Tang, P. Yoo). Commun. Math. Phys. 379, 327–352 (2020).
Homotopy Algebras in Higher Spin Theory (with K. Zeng). Adv. Theo. Math. Phys. Vol 24, Issue 3, 757-819 (2020)
G-twisted braces and orbifold Landau-Ginzburg Models (with W. He and Y. Li), Commun. Math. Phys. 373, no.1, 175–217 (2020).
Calabi-Yau geometry, Primitive form and Mirror symmetry ., Adv. Stud. Pure Math. Primitive Forms and Related Subjects—Kavli IPMU 2014, page 237-268 (2019). Mathematical Society of Japan.
Categorical primitive forms and Gromov-Witten invariants of An singularities (with A. Caldararu and J. Tu). Int Math Res Notices, rnz315 (2019).
Seiberg-Witten differential via primitive forms (with D. Xie and S.-T. Yau). Commun. Math. Phys 367, no.1, 193-214 (2019).
Effective Batalin-Vilkovisky Quantization and Geometric Applications . Proceedings of the 7th ICCM, Vol. I, 349–372, Adv. Lect. Math. 43.
Unfolding of Orbifold LG B-Models: A Case Study (with W. He and Y. Li), PAMQ 14.3 (2018): 443-465.
Some Classical/Quantum Aspects of Calabi-Yau Moduli . Trends in Mathematics , Birkh?user, Cham. B-Model Gromov-Witten Theory, page 463-497 (2018).
Batalin-Vilkovisky quantization and the algebraic index. (with R.E.Grady and Q. Li). Adv. Math. 317 (2017), 575-639.
Mirror symmetry for unimodular exceptional singularities (with C.Z.Li, K.Saito and Y.Shen). J. Eur. Math. Soc. 19 (2017), no.4, 1189-1229.
Twisted supergravity and its quantization (with K. Costello),arXiv:1606.00365[hep-th]
On the B-twisted topological sigma model and Calabi-Yau geometry (with Q.Li). J.Diff.Geom. 102 (2016) no.3, 409-484.
Quantization of open-closed BCOV theory, I (with K. Costello), arXiv:1505.06703[hep-th]
A mirror theorem between Landau-Ginzburg models . Nuclear Phys. B., 898 (2015).
Primitive forms via polyvector fields (with C.Z.Li and K.Saito), arXiv:1311.1659[math.AG].
Variation of Hodge structures, Frobenius manifolds, and gauge theory, arXiv:1303.2782[math.QA].
On the B-twisted quantum geometry of Calabi-Yau manifolds (with Q. Li), Proceedings of the Sixth International Congress of Chinese Mathematicians 2013.
Quantum BCOV theory on Calabi-Yau manifolds and the higher genus B-model (with K.Costello), arXiv:1201.4501[math.QA] .
Renormalization and Mirror symmetry, SIGMA Symmetry Integrability Geom. Methods Appl. 8 (2012), 101.
Feynman graph integrals and almost modular forms, Comm. in Number Theory and Physics , 6, 2012.
Picard-Fuchs Equations of Relative Periods and Abel-Jacobi Map for Calabi-Yau Hypersurfaces (with B.H. Lian and S.-T. Yau), Amer. J. Math. 134 (2012), no. 5, 1345-1384.
On the spectrum of unitary Finite-Euclidean graphs (with L.A. Vinh), Ars Combin. 110 (2013), 275-287.
BCOV theory on the elliptic curve and higher genus mirror symmetry, arXiv:1112.4063[math.QA].
Morphisms from Azumaya prestable curves with a fundamental module to a projective variety: Topological D-strings as a master object for curves (with C.H. Liu, R. Song, S.-T. Yau), arXiv:0809.2121[math.AG]
Hamiltonian Formalism of the de-Sitter Invariant Special Relativity (with M.L. Yan, N.C. Xiao, W. Huang), Commun. Theor. Phys. 48:27-36, 2007.
Baryonium with a phenomenological skyrmion-type potential (with M.L. Yan, B. Wu, B. Q. Ma), Phys.Rev.D , 72, 2005.
Thesis: Calabi-Yau geometry and higher genus mirror symmetry, Harvard University, 2011
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