Academic Interest

Publications and Preprints

  • Twisted supergravity and its quantization (with K. Costello), arXiv:1606.00365[hep-th]
  • BV quantization and the algebraic index (with Q.Li, R. Grady), arXiv:1507.01812[math-QA]
  • 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).
  • Landau-Ginzburg mirror symmetry conjecture (with W. He, Y. Shen, R. Webb), arXiv:1503.01757[math.AG]
  • On the B-twisted topological sigma model and Calabi-Yau geometry (with Q.Li). J.Diff.Geom. 102 (2016) no.3, 409-484.
  • Mirror symmetry for unimodular exceptional singularities (with C.Z.Li, K.Saito and Y.Shen). To appear in J. Eur. Math. Soc. (2016).
  • Primitive forms via polyvector fields (with C.Z.Li and K.Saito), arXiv:1311.1659[math.AG].
  • On the B-twisted quantum geometry of Calabi-Yau manifolds (with Q. Li), Proceedings of the Sixth International Congress of Chinese Mathematicians 2013.
  • Variation of Hodge structures, Frobenius manifolds, and gauge theory, arXiv:1303.2782[math.QA].
  • Renormalization and Mirror symmetry, SIGMA Symmetry Integrability Geom. Methods Appl. 8 (2012), 101.
  • Quantum BCOV theory on Calabi-Yau manifolds and the higher genus B-model (with K.Costello), arXiv:1201.4501[math.QA] .
  • BCOV theory on the elliptic curve and higher genus mirror symmetry, arXiv:1112.4063[math.QA].
  • 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.
  • 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]
  • On the spectrum of unitary nite-Euclidean graphs (with L.A. Vinh), Ars Combin. 110 (2013), 275–287.
  • 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

Conferences co-organized

  • Aug 1-5, 2016: Strings 2016, Tsinghua University, China.
  • July 24-28, 2016: Summer School on String Theory, Quantum Field Theory and Geometry of Spacetime, Tsinghua University, China.
  • Jan 6-14, 2016: Thematic Program: Mathematics of Quantum Field Theory, IBS-CGP, Korea.
  • Dec 31 2015- Jan 4 2016: String-Math 2015, Sanya, China.
  • Sep 29-Oct 3, 2015: Homological Methods in Quantum Field Theory, SCGP, USA.
  • Feb 10-14, 2014: Primitive forms and related subjects, Kavli-IPMU, Japan.

Invited talks

  • June 20-26, 2016: Retrospective Workshop for the Thematic Program on Calabi-Yau Varieties: Arithmetic, Geometry and Physics, Herstmonceux Castle, UK
  • May 8-14, 2016: Lecture series for ``Factorization Algebras and Functorial Field Theories", MFO, Germany.
  • May 6-8, 2016: Simons Workshop on SYZ Mirror Symmetry and related topics, Harvard, USA.
  • Apr 24-30, 2016: Mini course on ``BV quantization and geometric applications", IBS-CGP, Korea.
  • Apr 5-12, 2016: MIST IV: Mathematics Inspired by String Theory, CUHK, Hong Kong.
  • Jan 1-4, 2016: Workshop on Poisson Geometry and Mathematical Physics, Chern Institute of Mathematics, Tianjin.
  • Dec 31, 2015: Strings-Math 2015, Sanya, China.
  • Dec 27, 2015: Workshop on Mathematics Physics, Dec 27, Sanya, China.
  • Nov 24, 2015: 2015 Annual Conference of Chinese Mathematical Society, CNU, Beijing.
  • Nov 14, 2015: Geometry and Physics seminar, Shanghai Jiaotong University, Shanghai
  • July 13-July 18,, 2015: ``Uniformization,Riemann-Hilbert Correspondence, Calabi-Yau manifold, and Picard-Fuchs Equation", Mittag-Leffler Institute, Sweden
  • July 6-10, 2015: GAP XII-Derived Algebraic Geometry, IBS-CGP, Pohang, Korea
  • March 28, 2015: Tianyuan workshop in algebraic geometry, AMSS, Beijing.
  • March 23, 2015: Symplectic Geometry and Mathematical Physics, Peking University
  • March 7, 2015: Beijing Geometry and Physics Colloquium, Peking University
  • Feb 7, 8, 2015: Lectures: Introduction to perturbative field theory, Morningside Center for Mathematics, CAS, Beijing.
  • Jan 20, 2015: String/Math seminar, Perimeter Institute for theoretical physics, Canada.
  • Oct 20, 2014: Geometry seminar, Lehigh University, USA.
  • Oct 6, 2014: Informal mathematical physics seminar, Columbia University, USA.
  • Sep 29-Aug 3, 2014: Homological methods in quantum field theory, Simons center for geometry and physics, USA.
  • Sep 18, 2014: Seminar on mathematical physics, Morningside Center for Mathematics, CAS, Beijing.
  • Aug 26, 2014: China annual complex analysis conference, USTC
  • Aug 5, 2014: 60 years of Calabi conjecture-Workshop in Honor of Professor Shing-Tung Yau on the occasion of his 65th birthday, Tsinghua University
  • June 8-15, 2014: Lecturer for Research Training Group 1670, University of Hamburg, Germany \item May 19-23, 2014: Representation Theory, Integrable Systems, and Quantum Fields, Northwestern University, USA
  • April 1, 2014: Algebraic geometry seminar, Princeton, USA
  • Mar 3-7, 2014: Workshop on B-model aspect of Gromov-Witten theory, University of Michigan
  • Feb 10-14, 2014: Lecturer: Primitive forms and related subjects, Kavli IPMU, Japan
  • Nov 25, 2013: Geometry and Physics seminar, University of Michigan, USA
  • July 22, 2013: Invited seminar, Kavli IPMU, Japan
  • July 16, 2013: The Sixth International Congress of Chinese Mathematicians, Taipei
  • Apr 12-14, 2013: Mini-course for FRG Workshop on Gromov-Witten theory, Columbia University, USA
  • Mar 11, 2013: Geometry and Physics seminar, University of Michigan, USA
  • Jan 29, 2013: Differential geometry seminar, Harvard University, USA
  • Nov 30, 2012: Everytopic Seminar, Brandeis University, USA
  • Nov 27, 2012: GAP Seminar, Penn State University, USA
  • Sep 14-17, 2012: Boston-Keio Summer Workshop on Geometry, Boston University, USA
  • Aug 27, 2012: FRG Workshop: Generalized Geometry, String Theory, and Deformations, Harvard University, USA
  • August 20-24, 2012: The Conference of Mirror Symmetry and Related Topics, KMUST, China
  • July 27-Aug 20, 2012: Summer course, MSC at Tsinghua University, China
  • August 10, 2012: Math Literature Seminar, MSC at Tsinghua University, China
  • July 18, 2012: Workshop on the mathematical aspects of quantum field theory, USTC, China
  • June 26, 2012: Geometry and Physics of the Landau-Ginzburg Model, IPMU, Japan
  • June 18, 2012: Quantization and Mathematics: An Undergraduate Conference, Northwestern University, USA
  • Mar 19, 2012: Geometry and Physics Seminar, University of Michigan, USA
  • Feb 18, 2012: Hong Kong Geometry Colloquium, Hong Kong
  • Feb 17,20, 2012: Geometry and Physics Seminar, HK Chinese Univ, Hong Kong
  • Feb 8,11, 2012: Geometry Seminar, HKUST, Hong Kong
  • Dec 9, 2011: Geometry Seminar, Boston University, USA
  • Nov 3, 2011: Felix Klein Seminar, University of Notre Dame, USA
  • Aug 3, 2011: Workshop on Chiral Differential Operators, Northwestern University, USA
  • July 19, 2011: Seminar on QFT, MIT, US
  • May 5, 2011: Mirror Symmetry Seminar, Simons Center for Geometry And Physics, Stonybrook
  • Mar 4, 2011: Algebraic Geometry Seminar, University of Wisconsin, USA
  • Feb 22, 2011: Differential Geometry Seminar, Harvard University, USA
  • Oct 14, 2010: Geometry/Physics Seminar, Northwestern University, USA
  • Sep 28, 2010: Differential Geometry Seminar, Harvard University, USA
  • Dec 4 2009: Differential Geometry Seminar, Harvard University, USA
  • Mar 12, 2009: Graduate Trivial Notion Seminar, Harvard University, USA
  • Apr 24, 2008: Graduate Trivial Notion Seminar, Harvard University, USA