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Cui Guizhen

  • Educational level:

  • Professional titles: Professor

  • Telephone:0755-86938416

  • Email:gzcui@szu.edu.cn

  • Address:Room 1414, Huiwen Building

Educational level Professional titles Professor
Professional titles 0755-86938416 Email gzcui@szu.edu.cn
Address Room 1414, Huiwen Building Personal Profile
Educational experience Work experience
Research Field Complex analysis, complex dynamical systems, quasi-conformal mappings and Teichmuller space theory Honors obtained
Academic Programs Scientific research <p>
[1] G. Cui, Y. Gao and J. Zeng, Invariant graphs of rational maps, Adv. Math. 404 (2022), part B, Paper No. 108454, 50pp. </br>[2] G. Cui and W. Peng, On the cycles of components of disconnected Julia sets, Math. Ann.,.381 (2021), no. 1-2, 971-1003. </br>[3] G. Cui and L. Tan, Hyperbolic-parabolic deformations of rational maps, Science China Mathematics, Vol. 62, no. 12 (2018), 2157-2220. </br>[4] G. Cui, W. Peng and L. Tan, Renormalizations and Wandering Jordan Curves of Rational Maps, Commun. Math. Phys. 344 (2016), 67-115. </br>[5] G.Cui and Y. Gao, Wandering continua for Lattes maps, Discrete and Continuous Dynamical Systems, Vol 36, no. 3 (2016), 1321-1329. <br>[6] G.Cui and L. Tan, A characterization of hyperbolic rational maps, Invent. Math., vol. 183 (2011), 451-516.  <br>[7] G.Cui and Y. Jiang,  Geometrically finite and semi-rational branched coverings of the two-sphere. Trans. Amer. Math. Soc. 363 (2011), 2701-2714.  <br>[8] G.Cui and M. Zinsmeister, BMO -Teichmuller spaces, Illinois Jour. of Math., vol. 48, no. 4 (2004), 1223-1233.  <br>[9] G.Cui, Integably asymptotic affine homeomorphisms of the circle and Teichmuller spaces,  Science in China Series A: Mathematics, vol. 43, no. 3 (2000), 267-279.  <br>[10] G.Cui, Circle expanding maps and symmetric structures Erg. Th. and Dynam. Sys, vol. 18 (1998), 831-842.<br><br></p>

Personal Profile

Cui Guizhen, male, native of Zuo Quan Province, holds a bachelor&#039;s degree, a master&#039;s degree and a phd in mathematics from Peking University, from November 2019, he became a full-time Shenzhen University professor. His research interests include complex dynamical systems, Quasiconformal mapping and Teichmuller space theory. He has undertaken key projects under the National Natural Science Foundation of China and Outstanding Youth Foundation of China. Math. And first-class journals published more than 20 papers. He has visited CUNY Einstein Chair (D. Sullivan) , Chinese University of Hong Kong, Universite de Cergy-Pontoise, Universite de Angers and other academic institutions, attended international academic conferences and made academic reports in ICCM 2013. Science China Mathematics editorial board.

Educational experience

Work experience

Research Field

  • Complex analysis, complex dynamical systems, quasi-conformal mappings and Teichmuller space theory

Honors obtained

Academic Programs

Scientific research

  • [1] G. Cui, Y. Gao and J. Zeng, Invariant graphs of rational maps, Adv. Math. 404 (2022), part B, Paper No. 108454, 50pp.
    [2] G. Cui and W. Peng, On the cycles of components of disconnected Julia sets, Math. Ann.,.381 (2021), no. 1-2, 971-1003.
    [3] G. Cui and L. Tan, Hyperbolic-parabolic deformations of rational maps, Science China Mathematics, Vol. 62, no. 12 (2018), 2157-2220.
    [4] G. Cui, W. Peng and L. Tan, Renormalizations and Wandering Jordan Curves of Rational Maps, Commun. Math. Phys. 344 (2016), 67-115.
    [5] G.Cui and Y. Gao, Wandering continua for Lattes maps, Discrete and Continuous Dynamical Systems, Vol 36, no. 3 (2016), 1321-1329.
    [6] G.Cui and L. Tan, A characterization of hyperbolic rational maps, Invent. Math., vol. 183 (2011), 451-516.  
    [7] G.Cui and Y. Jiang,  Geometrically finite and semi-rational branched coverings of the two-sphere. Trans. Amer. Math. Soc. 363 (2011), 2701-2714.  
    [8] G.Cui and M. Zinsmeister, BMO -Teichmuller spaces, Illinois Jour. of Math., vol. 48, no. 4 (2004), 1223-1233.  
    [9] G.Cui, Integably asymptotic affine homeomorphisms of the circle and Teichmuller spaces,  Science in China Series A: Mathematics, vol. 43, no. 3 (2000), 267-279.  
    [10] G.Cui, Circle expanding maps and symmetric structures Erg. Th. and Dynam. Sys, vol. 18 (1998), 831-842.

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