Curriculum Vitæ — Zhangchi Chen

Research Interest

[1]	Complex dynamics: Holomorphic foliations and current theory;
[2]	Several complex variables: Oka manifold theory and Nevanlinna theory.

Education

2011.09–2015.08	Bachelor	Tsinghua University	Mathematics	Supervisor: Linsheng Yin
2015.02–2015.06	Exchange	École Normale Supérieure	Mathematics
2015.09–2017.08	Master	Université Paris-Saclay	Mathematics	Supervisor: Joël Merker
2017.09–2021.08	Doctor	Université Paris-Saclay	Mathematics	Supervisors: Joël Merker, Việt-Anh Nguyễn

Working Experience

2020.09–2021.08	ATER	Université Paris-Saclay, Department of Mathematics
2021.09–2024.07	Postdoc	Chinese Academy of Sciences, Morningside Center of Mathematics Director: Baohua Fu
2024.08–	Young Research Fellow	East China Normal University, School of Mathematical Sciences

Thesis

Title	Differential invariants of parabolic surfaces and of CR hypersurfaces; Directed harmonic currents near non-hyperbolic linearized singularities; Hartogs' type extension of holomorphic line bundles; (Non-)invertible circulant matrices.
Date of defense	Feb. 25, 2021
Area	Several complex variables, Holomorphic foliations, Differential invariants, Applied linear algebra.

Funding

2023	China Postdoctoral Science Foundation, Grant No. 2023M733690.

Skills

Language	English (Fluent, TOEFL 102/120, Sept. 2016); French (Fluent, DELF B2).
Programming	Making figures by Xfig and Matplotlib (Python); Symbolic computation by Mathematica and Maple.

Papers Published or Accepted

• [1] Zhangchi Chen, A counterexample to Hartogs' type extension of holomorphic line bundles. J. Geom. Anal. 28 (2018), no. 3, 2624–2643. [DOI] [arXiv]
• [2] Zhangchi Chen, Joël Merker, On Differential Invariants of Parabolic Surfaces. Dissertationes Math. 559 (2021), 1–88. [DOI] [arXiv]
• [3] Zhangchi Chen, Wei-Guo Foo, Joël Merker, The-Anh Ta, Normal Forms for Rigid $C^{2,1}$ Hypersurfaces $M^5\subset \mathbb{C}^3$. Taiwanese J. Math. 25(2) (2021), 333–364. [DOI] [arXiv]
• [4] Zhangchi Chen, On nonsingularity of circulant matrices. Linear Algebra Appl. 612 (2021), 162–176. [DOI] [arXiv]
• [5] Zhangchi Chen, Directed harmonic currents near non-hyperbolic linearizable singularities. Ergodic Theory Dynam. Systems. 43(7) (2023), 2228–2257. [DOI] [arXiv]
• [6] Zhangchi Chen, Wei-Guo Foo, Joël Merker, The-Anh Ta, Lie-Cartan Differential Invariants and Poincaré-Moser Normal Forms: Confluences. Bull. Inst. Math. Acad. Sin. (N.S.). Vol. 18, No. 2 (2023) 133–184.
• [7] Zhangchi Chen, Dinh Tuan Huynh, Song-Yan Xie, Universal entire curves in projective spaces with slow growth. J. Geom. Anal. 33, 308 (2023). [DOI] [arXiv]
• [8] Zhangchi Chen, Hodge-Riemann property of Griffiths positive matrices with $(1,1)$-form entries. Proc. Amer. Math. Soc. 152 (2024), 4115–4130. [DOI] [arXiv]
• [9] Zhangchi Chen, Dinh Tuan Huynh, Ruiran Sun, Song-Yan Xie, Entire holomorphic curves into $\mathbb{P}^n(\mathbb{C})$ intersecting $n+1$ general hypersurfaces. Sci. China Math. 68 (2025), 2847–2866.

Preprints

• [10] Zhangchi Chen, Joël Merker, Affine Homogeneous Surfaces with Hessian rank $2$ and Algebras of Differential Invariants. arXiv:2010.02873.
• [11] Zhangchi Chen, Minkowski dimension of the boundaries of the lakes of Wada. arXiv:2107.05626.
• [12] Zhangchi Chen, Frequently hypercyclic meromorphic curves with slow growth. arXiv:2409.08048.

Applications

Paper [4] solved the invertibility problem of certain unitary recurrent matrices. The result is published as appendix in:

• Kai Wan, Daniela Tuninetti, Mingyue Ji, Pablo Piantanida, Combination Networks With End-User-Caches: Novel Achievable and Converse Bounds Under Uncoded Cache Placement. IEEE Trans. on Information Theory, 68, no. 2, pp. 806–827, Feb. 2022.

Recent Scientific Talks (Selected)

• "A counterexample to Hartogs' type extension of holomorphic line bundles", June 13, 2019. 8th International Congress of Chinese Mathematicians (ICCM2019), Tsinghua University, Beijing, China.
• "On Differential Invariants of Parabolic Surfaces", Sept. 11, 2019. Séminaire Opérateur de Dirac, Université Paris-Sud, Orsay, France.
• "Differential invariants, recurrence formulas and homogeneous models in $\mathbb{C}^2$", Nov. 5, 2020. GDR "Géométrie Différentielle et Mécanique", Université Pierre-et-Marie-Curie, Paris, France (online).
• "Directed harmonic currents near non-hyperbolic linearizable singularities", Dec. 26, 2022. Frontiers in Mathematical Science, Tsinghua Sanya International Mathematics Forum (TSIMF), Sanya, China.
• "Universal entire curves in projective spaces with slow growth", June 22, 2023. Oka Theory and Complex Geometry Conference, Sophus Lie Conference Centre, Nordfjordeid, Norway.
• "Hodge-Riemann property of Griffiths positive matrices with $(1,1)$-form entries", Dec. 1, 2023. Forum on Algebraic Geometry, Sun Yat-sen University, Zhuhai, China.

Other Talks

• "From Conway's Soldier to Gosper's Glider Gun", Apr. 17, 2020. Ceremony of Mathematics Marathon of Orsay, Université Paris-Saclay, Orsay, France (online).

Conference Attended (Selected)

• Workshop on $\bar{\partial}$, Oct. 2017. Norwegian University of Science and Technology (NTNU), Trondheim, Norway.
• Complex Dynamics, Jan. 2020. Centre International de Rencontres Mathématiques (CIRM), France.
• Oka Theory and Complex Geometry Conference, June 2023. Sophus Lie Conference Centre, Nordfjordeid, Norway.
• Symposium on Geometry, A Celebration of Eugenio Calabi's 100th Birthday, July 2023. USTC, Hefei, China.

Teaching Experience

2025–2026	Mathematical Analysis, East China Normal University
2024–2025	Real and Complex Analysis (graduate), East China Normal University
Fall 2024	Real and Complex Analysis (graduate), East China Normal University
Fall 2022	Holomorphic Foliations (short graduate course, 15h), Beijing Normal University

Other Scientific Activities

2017–2020	Jury of Mathematics Marathon of Orsay, Université Paris-Sud
June 2018	Jury of the Final of French Tournament of Young Mathematicians (TFJM²) 2018, ENSTA ParisTech
2018–2020	Mentor of Chinese students in M2AAG, Université Paris-Sud

Awards

2014	5th S.-T. Yau College Student Mathematics Contest, Group Silver Medal.