Yaxiong Liu (刘亚雄)

alt text 

Department of Mathematics, University of Maryland, College Park,
William E. Kirwan Hall, 4176 Campus Dr., MD 20742-4015
Office: Math 2303
Email: yxliu238@umd.edu, yaxiongliu@amss.ac.cn

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 J. Han) On the Existence of Weighted-cscK Metrics, [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. [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

    Teaching

    • Department of Mathematics, University of Maryland

      • 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: Aug. 24).

Thesis.