Papers

Most of my papers can be found at http://arxiv.org/a/zhou_j_3.html

Publications  

Twisted Sectors in Calabi-Yau Type Fermat Polynomial Singularities and Automorphic Forms

with Dingxin Zhang https://arxiv.org/abs/2112.07182,  to appear in Communications of Number Theory and Physics

Modularity of counting functions of convex planar polygons with rationality conditions

with Kathrin Bringmann, Jonas Kaszian, Math. Ann. 392, 965-1014 (2025).

https://doi.org/10.1007/s00208-024-03087-1  https://arxiv.org/abs/2301.00902

Higher Genus FJRW Invariants of a Fermat Cubic

with Jun Li, Yefeng Shen,  Geometry and Topology, 27:5 (2023) 1845--1890

https://DOI: 10.2140/gt.2023.27.1845    https://arxiv.org/abs/2001.00343

Regularized Integrals on Elliptic Curves and Holomorphic Anomaly Equations

with Si Li, Commun. Math. Phys. 401, 613–645 (2023).

https://doi.org/10.1007/s00220-023-04647-3  https://arxiv.org/abs/2205. 14562  

Genus Two Quasi-Siegel Modular Forms and Gromov-Witten Theory of Toric Calabi-Yau Threefolds

with Yongbin Ruan, Yingchun Zhang，Commun. Math. Phys. 398, 757–796 (2023)    

https://doi.org/10.1007/s00220-022-04534-3  https://arxiv.org/abs/1911.07204

A genus-one FJRW invariant via two methods

with Jun Li, Wei-Ping Li, Yefeng Shen,  Mathematische Zeitschrift volume 302, pages 1927–1955 (2022)

https://doi.org/10.1007/s00209-022-03133-1 https://arxiv.org/abs/2006.16518 

Regularized Integrals on Riemann Surfaces and Modular Forms

with Si Li, Commun. Math. Phys. 388, 1403–1474 (2021).  

https://doi.org/10.1007/s00220-021-04232-6  https://arxiv.org/abs/2008.07503

Generating functions of planar polygons from homological mirror symmetry of elliptic curves 

with Kathrin Bringmann, Jonas Kaszian, Res. number theory 6, 28 (2020). 

https://link.springer.com/article/10.1007%2Fs40993-020-00199-w  https://arxiv.org/abs/1904.05058

Genus-One Gromov-Witten Invariants of Quintic Three-folds via MSP Localization   

with Huai-Liang Chang, Shuai Guo, Wei-Ping Li， International Mathematics Research Notices, Volume 2020, Issue 19, October 2020, Pages 6421–6462

https://doi.org/10.1093/imrn/rny201  http://arxiv.org/abs/1711.10118/

Open Gromov-Witten Theory of KP2,KP1×P1,KWP[1,1,2],KF1 and Jacobi Forms

with Bohan Fang, Yongbin Ruan, Yingchun Zhang, Commun. Math. Phys. (2019) 369: 675-719. 

https://doi.org/10.1007/s00220-019-03440-5  https://arxiv.org/abs/1805.04894

LG/CY Correspondence for Elliptic Orbifold Curves via Modularity

with Yefeng Shen, Journal of Differential Geometry, Vol. 109, No. 2 (2018), pp. 291-336.

https://projecteuclid.org/euclid.jdg/1527040874   http://arxiv.org/abs/1603.02660

GKZ Hypergeometric Series for the Hesse Pencil, Chain Integrals and Orbifold Singularities

SIGMA (Symmetry, Integrability and Geometry: Methods and Applications), 13 (2017), 030.

https://doi.org/10.3842/SIGMA.2017.030  http://arxiv.org/abs/1606.08352 

Ramanujan Identities and Quasi-Modularity in Gromov-Witten Theory

with Yefeng Shen, Communications in Number Theory and Physics, vol 11. no. 2, 405-452, 2017

http://dx.doi.org/10.4310/CNTP.2017.v11.n2.a5  http://arxiv.org/abs/1411.2078 

Airy Equation for the Topological String Partition Function in a Scaling Limit

with Murad Alim, Shing-Tung Yau, Letters in Mathematical Physics, Volume 106, Issue 6, pp 719-729, 2016.

http://link.springer.com/article/10.1007/s11005-016-0840-z  http://arxiv.org/abs/1506.01375

Modularity of Open Gromov-Witten Potentials of Elliptic Orbifolds 

with Siu-Cheong Lau, Communications in Number Theory and Physics, vol 9. no. 2, 345-385, 2015

http://dx.doi.org/10.4310/CNTP.2015.v9.n2.a4  http://arxiv.org/abs/1412.1499

Special Polynomial Rings, Quasi Modular Forms and Duality of Topological Strings 

with Murad Alim, Emanuel Scheidegger, Shing-Tung Yau, Advances in Theoretical and Mathematical Physics 18.2 (2014): 401-467.

http://dx.doi.org/10.4310/ATMP.2014.v18.n2.a4  http://arxiv.org/abs/1306.0002 

Chern–Simons invariants and isometric immersions of warped products

with Li Ma, (based on part of my Bachelor thesis), Monatshefte für Mathematik,  March 2010, Volume 159, Issue 4, pp 361-378

http://link.springer.com/article/10.1007/s00605-009-0166-3

Lectures and expository papers

Mirror Symmetry for Plane Cubics Revisited 

Conference Proceeding of "Uniformization, Riemann-Hilbert Correspondence, Calabi-Yau Manifolds, and Picard-Fuchs Equations",  Advanced Lectures in Mathematics, Volume 42

http://www.intlpress.com/site/pub/pages/books/items/00000517/index.html  http://arxiv.org/abs/1605.07877 

Polynomial Structure of Topological String Partition Functions

Fields Institute Monographs, Calabi-Yau Varieties: Arithmetic, Geometry and Physics, Lecture Notes on Concentrated Graduate Courses

http://link.springer.com/chapter/10.1007/978-1-4939-2830-9_14  http://arxiv.org/abs/1501.00451

Lectures on BCOV holomorphic anomaly equations

with Atsushi Kanazawa, Fields Institute Monographs, Calabi-Yau Varieties: Arithmetic, Geometry and Physics, Lecture Notes on Concentrated Graduate Courses

http://link.springer.com/chapter/10.1007/978-1-4939-2830-9_13  http://arxiv.org/abs/1409.4105

Preprints

Gromov-Witten Generating Series of Elliptic Curves and Iterated Integrals of Eisenstein-Kronecker Forms

https://arxiv.org/abs/2310.08018

Regularized Integrals on Configuration Spaces of Riemann Surfaces and Cohomological Pairings

https://arxiv.org/abs/2305.12362

Gromov-Witten Generating Series of Elliptic Curves as Configuration Space Integrals

https://arxiv.org/abs/2304.03912

Differential Rings from Special Kähler  Geometry http://arxiv.org/abs/1310.3555

Thesis

Arithmetic Properties of Moduli Spaces and Topological String Partition Functions of Some Calabi-Yau Threefolds

http://dash.harvard.edu/handle/1/12274581  Harvard Ph. D thesis (2014). Here is the most up-to-date version of the thesis, with some typos corrected 

Three Variational Problems with Topological Constraints

http://oaps.lib.tsinghua.edu.cn/handle/123456789/1325   Tsinghua Bachelor thesis (2008)

Other papers

Quantum Spacetime on a Quantum Simulator  

with Keren Li, Youning Li, Muxin Han, Sirui Lu,  Dong Ruan, Guilu Long, Yidun Wan, Dawei Lu, Bei Zeng, Raymond Laflamme. Commun Phys 2, 122 (2019) doi:10.1038/s42005-019-0218-5

https://doi.org/10.1038/s42005-019-0218-5  https://arxiv.org/abs/1712.08711

Local density matrices of many-body states in the constant weight subspaces 

with Jianxin Chen, Muxin Han, Youning Li, Bei Zeng. Reports on Mathematical Physics, Volume 83, Issue 3, June 2019, Pages 273-292

https://doi.org/10.1016/S0034-4877(19)30049-7  https://arxiv.org/abs/1704.08564 

Joint product numerical range and geometry of reduced density matrices

with Jianxin Chen, Cheng Guo, Zhengfeng Ji, Yiu-Tung Poon, Nengkun Yu, Bei Zeng. Sci. China Phys. Mech. Astron. (2017) 60: 020312.

https://doi.org/10.1007/s11433-016-0404-5   https://arxiv.org/abs/1606.07422