团队: 广义相对论和偏微分方程
办公室: A12-112
邮箱: zhangyiyue@bimsa.cn
研究方向: 微分几何, 广义相对论
个人简介
我的研究方向是几何分析和广义相对论，目前主要研究标量曲率和广义相对论中的几何问题。我应用偏微分方程，特别是椭圆方程，来研究几何问题。
教育经历
- 2016 - 2021 杜克大学 数学 哲学博士 (Supervisor: Hubert Bray)
- 2013 - 2016 南开大学 基础数学 硕士
- 2009 - 2013 南开大学 数学与应用数学 学士
工作经历
- 2021 - 2024 加州大学尔湾分校 访问助理教授
出版物
- [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)
更新时间: 2025-03-28 01:57:07