Oliver Tse
Eindhoven University of Technology (TU/e)

In mathematics the art of proposing a question must be held of higher value than solving it.
Georg Cantor (1845—1918, German mathematician)

Research Interests

My research topics in the past and present include

Analysis of nonlinear diffusion systems and multiscale analysis of variational evolutions
Kinetic equations: qualitative properties, multiscale modeling and analysis, and numerical simulation
Optimal control with PDEs: multiscale analysis of adjoint-based methods
Interacting particle systems: consensus-based methods in global optimization, disease and population dynamics, large deviations
Variational methods and algorithms in quantum computing

My current focus lies on the connections between optimal transport, (generalized) gradient flows and large deviations, and on probabilistic methods for studying variational evolutions, with an eye toward applications.

Selected Recent Material (full list)

with Robert de Keijzer and Servaas Kokkelmans. Recapture Probability for anti-trapped Rydberg states in optical tweezers (arXiv:2303.08783)
with Alberto Montefusco and Upanshu Sharma. Fourier-Cattaneo equation: stochastic origin, variational formulation, and asymptotic limits (arXiv:2211.07265)
with Jasper Hoeksema. Generalized gradient structures for measure-valued population dynamics and their large-population limit
Calculus of Variations and Partial Differential Equations, 2023. (arXiv:2207.00853)
with Robert de Keijzer and Servaas Kokkelmans. Pulse based variational quantum optimal control for hybrid quantum computing
Quantum, 2023. (arXiv:2202.08908)
with Anastasiia Hraivoronska. Diffusive limit of random walks on tessellations via generalized gradient flows (arXiv:2202.06024)
with Jasper Hoeksema, Thomas Holding and Mario Maurelli. Large deviations for singularly interacting diffusions (arXiv:2002.01295)