Dr. Wenfei Liu (刘文飞)

Professor

School of Mathematical Sciences, Xiamen University

361005 Xiamen, Fujian

P. R. China

Office: 653

E-mail: wliu [at] xmu [dot] edu [dot] cn

Short CV

2016.08 - present, Professor, Xiamen University

2016.01 - 2016.07, Associate Professor, Xiamen University

2015.04 - 2015.12, Assistant Professor, Peking University

2013.10 - 2015.03, wissenschaftlicher Mitarbeiter (Postdoc Fellow), Leibniz Universität Hannover

2011.10 - 2013.09, wissenschaftlicher Mitarbeiter (Postdoc Fellow), Universität Bielefeld

2011.03 - 2011.10, wissenschaftlicher Mitarbeiter (Postdoc Fellow), Johannes Gutenberg-Universität Mainz

I did my doctoral study under the supervision of Professor Jin-Xing Cai (Peking University) and of Professor Fabrizio Catanese (Universität Bayreuth), and obtained the degrees in 2010.

Research Interest

My research interest lies in algebraic geometry. My work has been focused on the topics of algebraic surfaces, including geography of stable surfaces, automorphisms, as well as moduli spaces of surfaces. In recent years, I have also done some work on other types of projective varieties.

Accepted and Published Papers

1. On the Iitaka volumes of log canonical surfaces and threefolds, Guodu Chen, Jingjun Han and Wenfei Liu, J. Lond. Math. Soc. (2) 111 (2025), no. 4, Paper No. e70132, 45 pp.

2. On numerically trivial automorphisms of compact hyperkähler manifolds of dimension 4, Chen Jiang and Wenfei Liu, Math. Res. Lett. 31 (2024), no. 6, 1771–1784.

3. The minimal volume of log surfaces of general type with positive geometric genus, Wenfei Liu, Israel Journal of Mathematics, 2025, https://doi.org/10.1007/s11856-025-2815-1

4. On numerically trivial automorphisms of threefolds of general type, Zhi Jiang, Wenfei Liu and Hang Zhao, Math. Res. Lett. 30 (2023), no. 6, 1751–1785.     

5. On symplectic automorphisms of elliptic surfaces acting on CH_0, Jiabin Du and Wenfei Liu, Sci. China Math. 66 (2023), no. 3, 443–456.

6. On topologically trivial automorphisms of compact Kähler manifolds and algebraic surfaces, Fabrizio Catanese and Wenfei Liu, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 32 (2021), 181-211. 

7. On a generalized canonical bundle formula for generically finite morphisms, Jingjun Han and Wenfei Liu, Annales de L'Institut Fourier 71 (5), 2047-2077.

8. On numerical nonvanishing for generalized log canonical pairs, Jingjun Han and Wenfei Liu, Documenta Mathematica 25 (2020), 93–123.

9. Simple connectedness of Fano log pairs with semi-log canonical singularities, Osamu Fujino and Wenfei Liu, Math. Z. 295 (2020), no. 1-2, 341–348.

10. Log surface of Picard rank one from four lines in the plane, Valery Alexeev and Wenfei Liu, Eur. J. Math. 5 (2019), no. 3, 622–639.

11. On accumulation points of volumes of log surfaces, Valery Alexeev and Wenfei Liu, Izv. Math. 83 (2019), no. 4, 657–675

12. Open surfaces of small volume, Valery Alexeev and Wenfei Liu, Algebraic Geometry 6 (3) (2019) 312-327.

13. Surfaces of general type with q=2 are rigidified, Commun. Contemp. Math. 20 (2018), no. 7, 1750084, 12 pp.

14. Automorphisms of surfaces of general type with q = 1 acting trivially in cohomology, Jin-Xing Cai and Wenfei Liu, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 18 (2018), no. 4, 1311–1348.

15. Geography of Gorenstein stable log surfaces, Wenfei Liu and Sönke Rollenske, Trans. Amer. Math. Soc. 368 (2016) 2563–2588.

16. Pluricanonical maps of stable log surfaces, Wenfei Liu and Sönke Rollenske, Adv. Math. 258 (2014) 69–126.

17. The moduli space of even surfaces of general type with K^2 = 8, p_g = 4, q = 0, Fabrizio Catanese, Wenfei Liu and Roberto Pignatelli, J. Math. Pures Appl. 101 (2014) 925–948.

18. Automorphisms of surfaces of general type with q >= 2 acting trivially in cohomology, Jin-Xing Cai, Wenfei Liu and Lei Zhang, Compos. Math., 149 (2013), no. 10, 1667–1684.

19. Two-dimensional semi-log-canonical hypersurfaces, Wenfei Liu and Sönke Rollenske, Le Mathematiche 67 (2012), no. 2, 185–202.

20. Stable degenerations of surfaces isogenous to a product II, Trans. Amer. Math. Soc. 364 (2012), 2411–2427.

Preprints

1. The Chevalley--Weil formula for finite group actions on higher dimensional compact complex manifolds, Wenfei Liu and Renjie Lyu, arXiv:2510.10430, 2025

2. On the cohomological representations of finite automorphism groups of singular curves and compact complex spaces, Qing Liu and Wenfei Liu, arXiv:2507.12290, 2025

3. On symplectic automorphisms of a surface with genus two fibration and their action on CH_0, Jiabin Du and Wenfei Liu, arXiv:2501.10058, 2025.

4. On regular surfaces of general type with numerically trivial automorphism group of order 4, Jin-Xing Cai and Wenfei Liu, arXiv:2412.16501, 2024

5. The minimal volume of surfaces of log general type with non-empty non-klt locus, Jihao Liu and Wenfei Liu, arXiv:2308.14268, 2023

6. On the numerically and cohomologically trivial automorphisms of elliptic surfaces II: χ(S)>0, Fabrizio Catanese, Wenfei Liu and Matthias Schütt, arXiv:2412.17033

7. On the cohomologically trivial automorphisms of elliptic surfaces I: χ(S)=0, Fabrizio Catanese, Davide Frapporti, Christian Gleissner, Wenfei Liu andMatthias Schütt, arXiv:2408.16936, 2024.

Teaching

• 2025 Autumn, Algebraic Geometry II (for graduate students)

• 2025 Spring, Algebraic Geometry (for undergraduate students)

• 2025 Spring, Algebraic Topology

• 2024 Autumn, Topology

• 2024 Spring, Algebraic Geometry (for undergraduate students)

• 2024 Spring, Algebraic Topology

• 2023 Autumn, Topology

• 2023 Spring, Algebraic Geometry (for undergraduate students)

• 2023 Spring, Algebraic Topology

• 2022 Autumn, Topology

• 2022 Spring, Algebraic Geometry (for undergraduate students)

• 2022 Spring, Algebraic Topology

• 2021 Autumn, Riemann Surfaces

• 2021 Autumn, Differential Topology

• 2021 Spring, Algebraic Geometry (for undergraduate students)

• 2021 Spring, Algebraic Topology

• 2020 Autumn, Riemann Surfaces

• 2020 Spring, Algebraic Topology (online)

• 2019 Autumn, Algebraic Geometry

• 2019/04, Ordinary Differential Equations, Xiamen University Malaysia Campus

• 2019/04, Calculus I, Xiamen University Malaysia Campus

• 2018 Spring, Algebraic Topology, Xiamen University

• 2017 Spring, Algebraic Topology, Xiamen University

• 2016 Summer, Introduction to Algebraic Geometry, Xiamen University

• 2016 Spring, Linear Algebra I, Xiamen University

• 2013 Summer,  Kommutative Algebra, Universität Bielefeld

• 2012 Summer,  Klassische algebraische Geometrie, Universität Bielefeld

last updated 2025.10.15