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Hongze Wang

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Research Interests

Spectral Theory and Its Applications

The main focus is on some spectral-related problems and their nonlinear applications. For example, the spectral analysis of quasiperiodic operators (such as the Schrödinger operator, non-self-adjoint Jacobi operators), spectral geometry problems on bounded domains, such as the Hot Spots conjecture, and how to apply these to solve certain problems in differential equations.