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孙锐然 Ruiran SUN
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孙锐然 Ruiran SUN
  • HOMEPAGE
  • PUBLICATIONS
  • TEACHING
  • LINKS
  • More
    • HOMEPAGE
    • PUBLICATIONS
    • TEACHING
    • LINKS
  • Parahoric reduction theory of formal connections (or Higgs fields) (with Zhi Hu, Pengfei Huang and Runhong Zong), submitted, [arXiv:2409.05073].

  • On the distribution of non-rigid families in the moduli spaces (with Ke Chen, Tianzhi Hu and Kang Zuo), submitted, [arXiv:2408.11604].

  • Finiteness of pointed maps to moduli spaces of polarized varieties (with Ariyan Javanpeykar, Steven Lu and Kang Zuo), submitted, [arXiv:2310.06784].

  • Entire holomorphic curves into ℙn(ℂ) intersecting n+1 general hypersurfaces (with Zhangchi Chen, Dinh Tuan Huynh and Song-Yan Xie), submitted, [arXiv:2310.05433].

  • Hyperbolicity of varieties with big linear representation of π1, submitted, [arXiv:2202.00196].

  • Topological Hyperbolicity of Moduli spaces of Elliptic Surfaces (with Xin Lu and Kang Zuo), submitted, [arXiv:2103.12490].

  • Big Picard Theorem for jet differentials and Non-archimedean Ax-Lindemann Theorem (with Dinh Tuan Huynh and Song-Yan Xie), J. Number Theory 253 (2023), 257–277, doi.org/10.1016/j.jnt.2023.06.010.

  • Holomorphic curves in Base Spaces of Families of Polarized Manifolds (with Steven Lu and Kang Zuo), submitted, [arXiv:2010.04063].

  • Non-archimedean hyperbolicity of the moduli space of curves, submitted, [arXiv:2009.13096].

  • Second Main Theorem on the Moduli Spaces of Polarized Varieties, submitted, [arXiv:2008.01624].

  • The Shafarevich conjecture revisited: Finiteness of pointed families of polarized varieties (with Ariyan Javanpeykar and Kang Zuo), submitted, [arXiv:2005.05933].

  • Picard theorems for moduli spaces of polarized varieties (with Ya Deng, Steven Lu and Kang Zuo),  Math. Ann. (2023), doi.org/10.1007/s00208-023-02779-4. 

  • Base change of twisted Fontaine-Faltings modules and Twisted Higgs-de Rham flows over very ramified valuation rings (with Jinbang Yang and Kang Zuo), [arXiv:1709.01485v3].

  • Projective Crystalline Representations of Étale Fundamental Groups and Twisted Periodic Higgs-de Rham Flow  (with Jinbang Yang and Kang Zuo),    J. Eur. Math. Soc. (JEMS), 24 (2022), no. 6, 1991–2076, doi.org/10.4171/jems/1116.

  • Some Special Families of Rank-2 Representations of 𝜋1 of Compact Riemann Surfaces, Commun. Math. Stat. 4 (2016), no. 2, 265--279, doi.org/10.1007/s40304-016-0085-2.

  • Big Picard theorem on moduli spaces and algebraicity, expository survey written for the International Consortium of Chinese Mathematicians 2020, to appear in Proceedings of ICCM 2020 (pdf).

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