I will join IGP/IMFP, USTC as a post-doc at the end of Sept 2025.
From September 2022 to July 2025, I was PhD student at Institut Fourier under the supervision of Gérard Besson and Hervé Gaussier. I defended my thesis on 11th July 2025.
From September 2021 to June 2022, I was a master's student at Institut Fourier under the supervision of Gérard Besson.
| E-mail: | shaz at univ-grenoble-alpes dot fr |
| zhsha0251 at gmail dot com |
My research area is complex geometry and geometric analysis.
I am interested in problems related to scalar curvature, Kähler-Ricci flow, complex Monge-Ampère equations, and extremal Kähler metrics.
A short note that will appear soon.
[1] Homological 2-systole in Kähler surfaces fibered over an elliptic curve, in preparation, 2025
My goal (beyond the scope of this note) is to identify verifiable criteria that separate cscK metrics from Kähler-Einstein metrics on complete manifolds. But I am so weak. (｡•́︿•̀｡)
[2] Rigidity of complete Kähler-Einstein metrics under cscK deformations, preprint, latest version, 2025
There are some typos in the arXiv version and the proof of Proposition 3.1 is incorrect, while the statement that the soliton is expanding is still true by our assumption. Please see the revised version in the above link.
[3] The Kähler-Ricci soliton on bounded pseudoconvex domains, arXiv:2412.03345, submitted, latest version, 2024
• Computing the canonical bundle of a blow-up via short exact sequences
• Scalar curvature and $S^1$-valued harmonic maps on 3-manifolds, Master thesis, unrevised, 2022
• The 5th Korea-France Conference in Mathematics, Institut de Mathématique de Bordeaux, The Kähler-Ricci soliton on bounded pseudoconvex domains, July 2025
• Seminar talk, IGP-USTC, Canonical Kähler metric on bounded pseudoconvex domains, 9 Jul 2025
• Flows and Singular Spaces, Henri Lebesgue Center, The cscK metric on bounded pseudoconvex domains, 24 Jun 2025
• Curvature and Geometric Analysis in Rome, Sapienza Università di Roma, (Poster session) Kähler-Ricci solitons on bounded pseudoconvex domains, 12 Nov 2024
• Séminaire Compréhensible, Institut Fourier, Calabi conjecture and Kähler-Einstein metrics, 18 Jan 2024
• Journées des doctorants, Institut Fourier, Gradient Kähler-Ricci solitons on strictly pseudoconvex domains, 25 Oct 2023
"It seems entirely plausible that, with all the tremendously clever people working so hard on mathematics, there is nothing left for someone such as myself (who would be the first to admit they do not have any special talent in the field) to do. Perhaps my value would be to act more like cannon fodder? Since just sending in enough men in will surely break through some barrier."
• arXiv:DG
• zbMATH
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