Yaxiong Liu (刘亚雄)

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Mathematical Science Reseach Center, Chongqing University of Technology,
No. 69, Hongguang Avenue, Banan District, Chongqing 400054, China.
Office: Qiuzhen Building 308
Email: yxliu269@cqut.edu, yaxiongliu@amss.ac.cn

About me

I am a Specially Appointed Associate Professor at Chongqing University of Technology, Chongqing.

Before that, I was a postdoc at the University of Maryland, College Park, working with Prof. Tamás Darvas. 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. I also study the singular Hermitian metrics on vector bundles.

  • 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

      Teaching

      • 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

      TA

      • 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.


    A brief cv (updated: 2026.04.16).

    Thesis.