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Information

Post-doc at Université Côte d’Azur (09/2023-…).

Supervisor: Laurent Stolovitch

Email: Xiaojun.Wu@uni-bayreuth.de,

Xiaojun.WU@univ-cotedazur.fr

My current themes of research are Kähler Geometry, Complex Analytic Geometry, Birational Geometry.

Education

2021.9-2023.8 Post-doc, University of Bayreuth, Advisor: Mihai Paun

2021.1-2021.8 Post-doc, Institut Fourier, Université Grenoble-Alpes, Advisor: Jean-Pierre Demailly

2017–2020 Ph.D., Mathematics, Université Grenoble-Alpes, Advisor: Jean-Pierre Demailly

2016–2017 M2, Arithmétique, Analyse, Géométrie, Université Paris-Sud

2013–2017 Cycle d’ingénieur, Ecole Polytechnique

2009–2013 Bachelor, Mathematics, Fudan University

Publications and Preprints

[1] (joint work with Laurent Stolovitch). Ueda foliation problem for complex tori. arXiv:2403.17682.

[2] (joint work with Philipp Naumann). Albanese map for Kähler manifolds with nef anticanonical bundle, arXiv:2310.06695.

[3] (joint work with Shin-ichi Matsumura). Compact Kähler 3-folds with nef anti-canonical bundle. arXiv:2304.03163.

[4] (joint work with Junyan Cao, Patrick Graf, Philipp Naumann, Mihai Paun, Thomas Peternell). Hermite-Einstein metrics in singular settings. arXiv:2303.08773.

[5] On compact Kähler orbifold. arXiv:2302.11914.

[6] Albanese morphism of log smooth klt compact Kähler manifold with nef log anticanonical divisor. arXiv:2301.05194.

[7] Note on holomorphic Morse inequalities tensoring with a coherent sheaf. arXiv:2209.00544.

[8] Note on asymptotic behaviour of the canonical ring. arXiv:2209.02759.

[9] Note on compact Kähler manifold with strongly pseudo-effective tangent bundle. arXiv:2110.02931.

[10] The Bogomolov’s inequality on a singular complex space. arXiv:2106.14650. (Survey paper, non-submitted.)

[11] Pseudo-effective and numerically flat reflexive sheaves. arXiv:2004.14676v2. The Journal of Geometric Analysis. volume 32, Article number: 124 (2022).

[12] On the Nakano vanishing theorem. arXiv:2011.13653. non-submitted.

[13] A study of nefness in higher codimension. arXiv: 2011.14896. Bulletin de la Société Mathématique de France, 150 (1), 2022, p. 209-249.

[14] On Junyan Cao’s vanishing theorem for pseudoeffective line bundles. arXiv:2011.13673. Part of this preprint has been merged into [11].

[15] On a vanishing theorem due to Bogomolov. arXiv:2011.13751. non-submitted.

[16] Intersection theory and Chern classes in Bott-Chern cohomology. arXiv:2011.13759. accepted by Arkiv för Matematik.

[17] On the hard Lefschetz theorem for pseudoeffective line bundles. arXiv:1911.13253v3. International Journal of Mathematics, Vol. 32, No. 06, 2150035 (2021).

Other texts

Ph.D. Thesis: Cohomologie des fibrés holomorphes et classes de Chern. pdf. Defended in 15/12/2020 at Grenoble.

Website of Chinese mathematicians in memory of Jean-Pierre Demailly

Slides for lecture series at AMSS, October 2023.

Overview pdf. Lecture 1 pdf. Lecture 2 pdf.

Updated: 04/15/2024