Yaxiong Liu (刘亚雄)
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Department of Mathematics, University of Maryland, College Park, |
About me
I am a postdoc at Maryland University, College Park. My mentor is Prof. Tamás Darvas. Before that, I obtained my PhD in Tsinghua University in Beijing under the supervision of Prof. Akito Futaki. I am interested in Kähler geometry, especially existence of canonical Kähler metrics.
Publications and Preprints
- (With J. Chu and N. McCleerey) The eigenvalue problem for the complex hessian operator on m-pseudoconvex manifolds, [arXiv:2402.03098]
- (With Zhuo Liu, Hui Yang, and Xiangyu Zhou) A Le Potier-type isomorphism twisted with multiplier submodule sheaves, [preprint]
- Openness of uniformly valuative stability on the Kähler cone of projective manifolds, Math. Z. 303 (2023), no 2, 52. [arXiv:2110.02795]
- Uniform K-stability and conformally Kähler, Einstein-Maxwell geometry on toric manifolds, Tohoku Math. J. (2) 74 (2022), no 1, 1-21. [arXiv:2004.12634]
Teaching and TA Experiences
Department of Mathematics, University of Maryland
Math-401: Applications of Linear Algebra, Spring, 2024
Math-436: Differential geometry of curves and surfaces I, Fall, 2023
School of Mathematical Sciences, Tsinghua University
Complex Geometry, Spring, 2023
Topics in Complex Geometry, Fall, 2022.
Differential geometry III--Complex Geometry, Spring, 2022.
Differential geometry III--Complex Geometry, Spring, 2021.
School of Mathematical Sciences, University of Chinese Academy of Sciences
Differential geometry, Fall, 2018.
Calculas III, Fall, 2017.