My research interests are in Complex Geometry, Differential Geometry, Several Complex Variables, and Complex Algebraic Geometry. I am particularly interested in questions related to proper holomorphic mappings between bounded symmetric domains, the geometry of subvarieties of Shimura varieties or quotients of bounded symmetric domains, and their applications to Arithmetic Geometry and Complex Algebraic Geometry.
Personal webpage: https://sites.google.com/site/shantaichancomplexgeometry/home
Office: Siyuan Building（思源楼） 502
2021-Present Assistant Professor, Institute of Mathematics, A.M.S.S., Chinese Academy of Sciences
2018-2021 Post-doctoral Fellow, Department of Mathematics, The University of Hong Kong.
2016-2018 Philip T. Church Postdoctoral Fellow, Department of Mathematics, Syracuse University, USA.
2013-2016 Ph.D. in Mathematics, The University of Hong Kong.
Advisor: Ngaiming Mok
2009-2012 B.Sc. in Mathematics (Pure Mathematics Option), The Hong Kong University of Science and Technology.
复几何 Complex Geometry
多复變 Several Complex Variables
微分几何 Differential Geometry
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
(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
(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.
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
(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
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
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
Classification Problem of Holomorphic Isometries of the Unit Disk Into Polydisks
Michigan Mathematical Journal 66 (2017), pp. 745-767
(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.
(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
On global rigidity of the p-th root embedding
Proceedings of the American Mathematical Society 144 (2016), pp. 347-358
Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences
No. 55, Zhongguancun East Road, Haidian, Beijing, 100190, People's Republic of China.