个人简介

陈山大,男,优秀青年助理研究员

2009-2012年在香港科技大学数学系本科并获学士学位,2013-2016年在香港大学数学系获哲学博士学位。20168月至20185月任美国雪城大学数学系博士后,20187月至20216月任香港大学数学系博士后,20218月起任中科院数学研究所优秀青年助理研究员。



研究方向

复几何 Complex Geometry
多复變 Several Complex Variables
微分几何 Differential Geometry

学术论文

  1. Rigidity of Proper Holomorphic Maps between Type-I Irreducible Bounded Symmetric Domains

    International Mathematics Research Notices, Volume 2022, Issue 11, June 2022, Pages 8209–8250, DOI: https://doi.org/10.1093/imrn/rnaa373

  2. (with Ngaiming Mok) Asymptotic total geodesy of local holomorphic curves exiting a bounded symmetric domain and applications to a uniformization problem for algebraic subsets

    J. Differential Geom. 120(1): 1-49 (January 2022). DOI: 10.4310/jdg/1641413830

  3. (with Yuan Yuan) Finding the determinant of a matrix via complex analysis

    American Mathematical Monthly 127 (2020), no. 6, 530-536; DOI: https://doi.org/10.1080/00029890.2020.1736471.

  4. On proper holomorphic maps between bounded symmetric domains

    Proceedings of the American Mathematical Society 148 (2020), 173-184; DOI: https://doi.org/10.1090/proc/14657

  5. (with Yuan Yuan) Holomorphic isometries from the Poincaré disk into bounded symmetric domains of rank at least two

    Annales de l'Institut Fourier, Volume 69 (2019) no. 5, p. 2205-2240; https://doi.org/10.5802/aif.3293

  6. Remarks on holomorphic isometric embeddings between bounded symmetric domains

    Complex Analysis and its Synergies 5 (2019), no. 1, 5:7; https://doi.org/10.1007/s40627-019-0031-7

  7. On the structure of holomorphic isometric embeddings of complex unit balls into bounded symmetric domains

    Pacific Journal of Mathematics, Vol. 295 (2018), No. 2, 291-315; DOI: 10.2140/pjm.2018.295.291

  8. Classification Problem of Holomorphic Isometries of the Unit Disk Into Polydisks

    Michigan Mathematical Journal 66 (2017), pp. 745-767

  9. (with Ming Xiao and Yuan Yuan) Holomorphic isometries between products of complex unit balls

    International Journal of Mathematics, Vol. 28 (2017), no. 9, 1740010, 22 pp.

  10. (with Ngaiming Mok) Holomorphic isometries of B^m into bounded symmetric domains arising from linear sections of minimal embeddings of their compact duals

    Mathematische Zeitschrift (2017) 286, pp. 679-700

  11. On global rigidity of the p-th root embedding

    Proceedings of the American Mathematical Society 144 (2016), pp. 347-358


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联系方式

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mastchan@amss.ac.cn