Explores the method of separation of variables for solving spatial problems with second-order ODEs, emphasizing the significance of boundary conditions.
Explores the naturalness problem in UV completions of the Standard Model and proposes a mechanism related to the Higgs mass determining the universe's expansion.
Covers compactified imaginary Liouville theory and the scaling limits of loop models, addressing mathematical challenges and future research directions.
Explores functional methods applied to the forced harmonic oscillator and external sources in various systems, such as magnetic fields and spin systems.
Explores classical and quantum chaos, magnetic monopoles, weak and strong coupling, and random matrix theory with a focus on Gaussian Unitary Ensemble.