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.
In this academic year, I am organizing Informal Geometric Analysis Seminar, University of Maryland.
Publications and Preprints
(With Z. Liu and Hui Yang) An asymptotic formula for the Segre classes, J. Geom. Anal. 35 (2025), no 3, 101. [journal]
(With J. Han) On the Existence of Weighted-cscK Metrics, Adv. Math. 463 (2025), Paper No. 110125. [journal][arXiv:2406.10939]
(With J. Chu and N. McCleerey) The eigenvalue problem for the complex hessian operator on m-pseudoconvex manifolds, [arXiv:2402.03098]
(With Z. Liu, Hui Yang, and X. Zhou) A Le Potier-type isomorphism twisted with multiplier submodule sheaves, [arXiv:2405.07261]
Openness of uniformly valuative stability on the Kähler cone of projective manifolds, Math. Z. 303 (2023), no 2, 52. [journal] [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. [journal] [arXiv:2004.12634]
Teaching and TA Experiences
Department of Mathematics, University of Maryland
Math-401: Applications of Linear Algebra, Spring, 2025
Math-121: Elementary Calculus II, Fall, 2024
Math-140H: Calculus I, Fall, 2024
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.
Teaching
TA
A brief cv (updated: 2025.02.16).