Research

Publications:

• (with Yuan Yuan) On local holomorphic maps between Kähler manifolds preserving (p,p)-forms, Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2023; DOI: 10.2422/2036-2145.202206_009; arXiv:2312.09655. (pdf)

• 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; arXiv:2009.12803. (pdf)

• (with Ngaiming Mok) Asymptotic total geodesy of local holomorphic curves exiting a bounded symmetric domain and applications to a uniformization problem for algebraic subsets, Journal of Differential Geometry 120(1): 1-49 (January 2022). DOI: 10.4310/jdg/1641413830; arXiv:1807.07409. (pdf)

• (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; arXiv:1904.04477. (pdf)

• (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; arXiv:1701.05623. (pdf)

• 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; arXiv:1803.10347. (pdf)

• 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; arXiv:1702.01668. (pdf)

• Classification Problem of Holomorphic Isometries of the Unit Disk Into Polydisks, Michigan Mathematical Journal 66 (2017), pp. 745-767. (pdf)

• (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.; arXiv:1706.07782. (pdf)

• (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. (pdf)

• On global rigidity of the p-th root embedding, Proceedings of the American Mathematical Society 144 (2016), pp. 347-358. (pdf)

Thesis:  

• On holomorphic isometric embeddings of complex unit balls into bounded symmetric domains, Ph.D. Thesis, The University of Hong Kong, 2016.