Rupert Frank

Rupert Frank is a Professor of Mathematics at the University of Munich (LMU Munich). He has held academic positions at Caltech (2013–2021) and Princeton University (2009–2013). His research spans Mathematical Physics, Spectral Theory, and Functional Inequalities, with a focus on quantum many-body systems, stability of matter, and nonlocal operators.

• Research Themes:
  • Analysis of eigenvalues for Schrödinger and Pauli operators with complex potentials
  • Semi-classical spectral asymptotics and effective theories for quantum systems
  • Matrix inequalities and quantum information theory
  • Calculus of variations in models like the liquid drop problem
  • Geometric inequalities and their applications to quantum mechanics
  • Magnetic field effects on spectral properties
• Recent Publications:
  • 2025: Sharp stability for Sobolev/log-Sobolev inequalities with dimensional dependence
  • 2025: Endpoint Schatten class properties of commutators
  • 2024: Degenerate stability of Caffarelli-Kohn-Nirenberg inequality
  • 2024: Hardy inequalities for large fermionic systems
  • 2023: Review on Scott conjecture for Coulomb systems
• Scientific Awards:
  • Young Scientist Prize in Mathematical Physics (2009)
• Grants and Collaborations:
  • Principal Investigator in CRC TRR 352 (2023–)
  • PI in Munich Center for Quantum Science and Technology (2019–)
  • Multiple NSF grants (2009–2020)
  • DFG and DAAD grants
• Editorial and Conference Leadership:
  • Editorial boards: Communications in Mathematical Physics, Journal in Mathematical Physics, Journal of Spectral Theory, SIAM Journal on Mathematical Analysis, Springer Lecture Notes
  • Organized conferences/workshops on quantum many-body systems, spectral methods, and functional inequalities (2018–2025)