Research Areas

The main research area is spectral geometry. Specific research contents include eigenvalue inequalities, asymptotic behavior of eigenvalues, multiplicity of eigenvalues, etc.

Education

B.S., University of Science and Technology of China, 2015-2019

Ph.D., University of Science and Technology of China, 2019-2024

Publications

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.