
Explore finite dimensional integrability in mathematical physics, focusing on symplectic Ak singularities and Schrödinger operators.

Explore finite dimensional integrability in mathematical physics through geometric reduction of spin trigonometric RS systems.

Explore quantum Gibbs state preparation through mapping commuting Hamiltonians to classical systems, focusing on efficient sampling methods and applications in quantum computing.

Explore advanced numerical methods for simulating Hamiltonian systems using Mono Implicit Runge-Kutta techniques, enhancing accuracy and efficiency in scientific computations.

Explore the relationship between Krylov complexity and chaos in quantum systems, examining wave function evolution and transition probabilities to uncover universal behaviors in chaotic Hamiltonians.

Explore semiclassical theory in quantum chaos with Martin Sieber, focusing on foundational concepts and applications in complex quantum systems.

Explore finite-dimensional Lie algebras of Hamiltonian vector fields on the plane, their classification, properties, and applications in studying Hamiltonian systems.

Explore Hamiltonian structure of rational isomonodromic deformation systems, focusing on applications in physics and integrability properties of nonlinear differential equations.