研究领域
主要研究领域为谱几何。具体研究的内容包括特征值不等式,特征值的渐近行为,特征值的重数等。
教育背景
本科,中国科学技术大学,2015-2019
博士,中国科学技术大学,2019-2024
论文发表
1. X. He and Z. Wang: Riemannian metrics with prescribed volume and finite parts of Dirichlet spectrum. Calculus of Variations and Partial Differential Equations, 2024, 63: 78.
2. X. He: Prescription of finite Dirichlet eigenvalues and area on surface with boundary. Journal of Geometry and Physics, 2024, 198: 105100.
3. X. He: Spectral stability under removal of small segments. Proceedings of the American Mathematical Society, 2024, 152(8): 3499–3507.