Jie Zhou

Jie Zhou's picture

Area of Research:

Research Interests

geometry, mathematical physics

Recent Publications

  • Ramanujan identities and quasi-modularity in Gromov-Witten theory, Yefeng Shen and Jie Zhou, Communications in Number Theory and Physics Vol. 11, no 2, 405 - 452. arXiv: 1411.2078
  • GKZ Hypergeometric Series for the Hesse Pencil, Chain Integrals and Orbifold Singularities. SIGMA 13 (2017), 030. arXiv: 1606.08352
  • Joint product numerical range and geometry of reduced density matrices, Jianxin Chen, Cheng Guo, Zhengfeng Ji, Yiu-Tung Poon, Nengkun Yu, Bei Zeng, Jie Zhou. Sci. China Phys. Mech. Astron. (2017) 60: 020312. arXiv: 1606.07422
  • Airy Equation for the Topological String Partition Function in a Scaling Limit, Murad Alim, Shing-Tung Yau and Jie Zhou. Letters in Mathematical Physics, Volume 106, Issue 6, 719-729. arXiv: 1506.01375
  • Modularity of open Gromov-Witten potentials of elliptic orbifolds, Siu-Cheong Lau and Jie Zhou. Communications in Number Theory and Physics Vol. 9, no. 2, 345-385. arXiv: 1412.1499
  • Local density matrices of many-body states in the constant weight subspaces, Jianxin Chen, Muxin Han, Youning Li, Bei Zeng, Jie Zhou. arXiv: 1704.08564 [quant-ph]
  • Mirror Symmetry for Plane Cubics Revisited, to appear in conference proceedings of workshop "Uniformization, Riemann-Hilbert Correspondence, Calabi-Yau Manifolds, and Picard-Fuchs Equations" at the Mittag-Leffler Institute in July 2015. arXiv: 1605.07877.
  • LG/CY Correspondence for Elliptic Orbifold Curves via Modularity, Yefeng Shen, Jie Zhou, to appear in Journal of Differential Geometry. arXiv: 1603.02660
  • Chapter 13 (with Atsushi Kanazawa) and Chapter 14 in Calabi-Yau Varieties: Arithmetic, Geometry and Physics---Lecture Notes on Concentrated Graduate Courses, Fields Institute Monographs Volume 34, Springer-Verlag New York, 2015. http://www.springer.com/us/book/9781493928293

Seminars

  • Periods and Gromov-Witten invariants, Algebra and number theory seminar, LSU, Louisiana
  • Moments of Weierstrass P-function and Gromov-Witten invariants, Winter 2017 Workshop on Algebraic Varieties, Hodge Theory and Motives, Fields Institute, Canada
  • Gromov-Witten invariants of elliptic curves and moments of Weierstrass P-function, Algebraic geometry seminar, University of Wisconsin-Madison, Wisconsin
  • Modular forms in the Gromov-Witten theory of Calabi-Yau varieties, Mathematics Colloquium, University of Massachusetts, Boston
  • Some differential-geometric aspects of LG/CY correspondence, Geometry and physics seminar, University of Michigan, Michigan
  • GKZ Hypergeometric Series for the Hesse Pencil, Chain Integrals and Orbifold Singularities, Modular forms in string theory, Banff, Canada
  • Modular forms in Gromov-Witten theory, 7th International Congress of Chinese Mathematicians, Beijing, China
  • Local expansions of modular forms and Gromov-Witten invariants, Academy of Mathematics and Systems Science, CAS, China
  • \tau-expansions of quasi-modular forms arising in the Gromov-Witten theory of elliptic orbifold curves, Retrospective Workshop for the 2013 Fall Thematic Program on Calabi-Yau Varieties: Arithmetic, Geometry and Physics, Herstmonceux Castle, UK
  • \tau-expansions of quasi-modular forms arising in the Gromov-Witten theory of elliptic orbifold curves, Workshop on global mirror symmetry, Nankai University, Tianjin, China
  • Phase transition in moduli space of elliptic curves and Cayley transform, FRG Workshop on Special Holonomy Geometry, Mirror, and Supersymmetry, Harvard University, USA
  • CY-LG correspondence for Elliptic Orbifolds via Modularity, Workshop on Algebraic Varieties, Field Institute, Toronto, Canada
  • Mirror symmetry for plane cubics and PEL structures, Workshop on Algebraic Varieties, Field Institute, Toronto, Canada
  • Nonperturbative differential equation for a certain limit of topological string, Algeometry, Duality and Strings Seminar, Yau Mathematical Sciences Center, Tsinghua University, Beijing, China
  • CY-LG correspondence for elliptic orbifolds via modularity, Symplectic Geometry and Mathematical Physics seminar, BICMR, Beijing University, Beijing, China
  • Picard-Fuchs equations of Calabi-Yau manifolds and modular forms, Workshop on Uniformization, Riemann-Hilbert Correspondence, Calabi-Yau Manifolds, and Picard-Fuchs Equations, Institut Mittag-Leffler, Sweden
  • Counting higher genus curves in local P^2 via mirror symmetry, Algebraic Geometry Seminar, Stanford University, USA
  • Modularity in Gromov-Witten theory, FRG Workshop: Recent Progress in String Theory and Mirror Symmetry, Brandeis University, USA
  • WDVV equations and Ramanujan identities, Geometry and Physics Seminar, University of Waterloo, Canada
  • Modular forms arising from Gromov-Witten theory, Geometry and Physics Seminar, University of Michigan, USA
  • Modular forms arising from topological string theory, Oct 10, 2014, String group meeting, Perimeter Institute, Canada