BIMSA > Yi Yue Zhang
Assistant Professor Yi Yue Zhang

Group: Mathematical Physics

Office: A12-112

Email: zhangyiyue@bimsa.cn

Research Field: Differential Geometry, General Relativity

CV

Biography

I am interested in geometric analysis and general relativity. More specifically, I am working on problems related to scalar curvature and geometric problems from physics. I enjoy applying the tools from PDEs, especially elliptic PDEs, to study geometry.

Education Experience

  • 2016 - 2021      Duke University      Mathematics      Ph.D      (Supervisor: Hubert Bray)
  • 2013 - 2016      Nankai University      Mathematics      Master
  • 2009 - 2013      Nankai University      Mathematics      Bachelor

Work Experience

  • 2021 - 2024      University of California, Irvine      Visiting assistant professor

Publication

  • [1] Sven Hirsch and Yiyue Zhang, Stability of Llarull's theorem in all dimensions, Advances in Mathematics, 458, 109980 (2024)
  • [2] Sven Hirsch, Hyun Chul Jang and Yiyue Zhang, Rigidity of asymptotically hyperboloidal initial data sets with vanishing mass (2024)
  • [3] Sven Hirsch; Demetre Kazaras; Marcus Khuri; Yiyue Zhang, Rigid comparison geometry for Riemannian bands and open incomplete manifolds, Mathematische Annalen, 1-66 (2024)
  • [4] Sven Hirsch and Yiyue Zhang, Initial data sets with vanishing mass are contained in pp-wave spacetimes, arXiv preprint arXiv:2403.15984 (2024)
  • [5] Hubert Bray and Yiyue Zhang, The Riemannian Penrose inequality with matter density, accepted by Beijing Journal of Pure and Applied Mathematics (the Bartnik memorial volume) (2024)
  • [6] Sven Hirsch, Demetre Kazaras, Marcus Khuri and Yiyue Zhang, Spectral torical band inequalities and generalizations of the Schoen-Yau black hole existence, International Mathematics Research Notices, 2024(4), 3139-3175 (2023)
  • [7] Yiyue Zhang, Scalar curvature volume comparison theorems for almost rigid sphere, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 8(151), 3577 ~ 3586 (2023)
  • [8] Sven Hirsch, Yiyue Zhang, The case of equality for the spacetime positive mass theorem, The Journal of Geometric Analysis, 33(1), 30 (2023)
  • [9] Hubert Bray; Sven Hirsch; Demetre Kazaras; Marcus Khuri; Yiyue Zhang, Spacetime harmonic functions and applications to mass, Perspectives in Scalar Curvature, Vol. 2, 7 (2021)
  • [10] Hubert Bray; Benjamin Hamm; Sven Hirsch; James Wheeler; Yiyue Zhang, Flatly foliated relativity, Pure and Applied Mathematics Quarterly, 2, 707 ~ 747 (2019)

 

Update Time: 2025-05-20 15:34:25