Currently, I am a third-year PhD student at Institut Fourier under the supervision of Gérard Besson and Hervé Gaussier. I plan to defend 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.
My PhD thesis focuses on canonical Kähler metrics on bounded pseudoconvex domains.
Additionally, I am interested in problems related to scalar curvature, Kähler-Ricci flow, complex Monge-Ampère equations, and extremal Kähler metrics.
• Z. Sha, The constant scalar curvature Kähler metric on bounded pseudoconvex domains, preprint, latest version, 2025.
• Z. Sha, The Kähler-Ricci soliton on bounded pseudoconvex domains, arXiv:2412.03345, submitted, latest version, 2024.
• Z. Sha, Scalar curvature and $S^1$-valued harmonic maps on 3-manifolds, Master thesis, unrevised version, 2022.
• Kähler-Ricci solitons on bounded pseudoconvex domains(Poster session), Nov 2024, Curvature and Geometric Analysis in Rome, Sapienza Università di Roma.
• The Calabi conjecture ane Kähler-Einstein metrics, Jan 2024, Séminaire Compréhensible, Institut Fourier.
• Gradient Kähler-Ricci solitons on strictly pseudoconvex domains, Oct 2023, Journées des doctorants, Institut Fourier.
"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."
"All human beings are born free and equal in dignity and rights..."