Yaxiong Liu (刘亚雄)
 |
Department of Mathematics, University of Maryland, College Park, |
About me
I am a postdoc at University of Maryland, 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 Several Complex Variables Seminar.
Publications and Preprints
(With J. Chu, N. McCleerey and W. Zhang) Some variational problems for the complex Monge-Ampère operator, [arXiv:2604.13421]
(With J. Han) \(\mathbb{G}\)-uniform weighted K-stability for models on klt varieties, [arXiv:2506.18039]
(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, J. Funct. Anal. 290(3) (2026), Paper No. 111258. [journal] [arXiv:2402.03098]
(With Z. Liu, Hui Yang, and X. Zhou) A Le Potier-type isomorphism twisted with multiplier submodule sheaves, J. Math. Pures Appl. 202 (2025), Page No. 103760. [journal] [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, 2026
Math-436: Differential geometry of curves and surfaces I, Fall, 2025
Math-401: Applications of Linear Algebra, Fall, 2025
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: 2026.04.16).