معرفی
Pedro Freitas is a Professor at the Department of Mathematics, Instituto Superior Técnico, University of Lisbon, and a Researcher at the Group of Mathematical Physics of the University of Lisbon. His research focuses on spectral theory, partial differential equations, and geometric analysis.
Research Interests: His work explores eigenvalue problems, spectral determinants, and geometric inequalities across various domains including quantum graphs, hyperbolic spaces, and polyharmonic operators. Key themes include:
- Spectral optimization of domains under Neumann/Robin conditions
- Pólya-type eigenvalue conjectures and asymptotics
- Functional determinants for elliptic and polyharmonic operators
- Geometric spectral theory on manifolds and quantum systems
Publications: Recent articles (2020-2025) demonstrate sustained focus on spectral geometry, eigenvalue bounds, and operator theory, with applications to mathematical physics. Works frequently address optimization problems, asymptotic analysis, and connections between classical and quantum mechanical systems.
Academic Activities: Actively advises PhD candidates in spectral theory and differential equations. Affiliated with the Group of Mathematical Physics, conducting theoretical research in spectral analysis and geometric PDEs.
