Joris van Winden

Joris van Winden

j.van.winden@math.leidenuniv.nl

Gorlaeus BW.2.13, Einsteinweg 55, Leiden

I am a mathematician working at the intersection of PDE analysis, probability, and dynamical systems. My main research focus is on the dynamics of pattern-forming systems when they are subject to random fluctuations.

Currently I am a postdoctoral researcher at Leiden University in the group of Hermen Jan Hupkes. Previously, I did my PhD in the Analysis group of the Delft Institute of Applied Mathematics at TU Delft, with Manuel Gnann as my advisor and Mark Veraar as my promotor.

I am also active in the formalization of mathematics using the Lean theorem prover.

Publications

See also my Google Scholar, arXiv, and ORCID profiles.

Preprints

  • No free lunch for continuity of stochastic convolutions (2026).
    Together with M. Veraar.
    arXiv:2609.12688

  • The Schrödinger equation with fluctuating nonlinearity in the energy space (2026).
    Together with M. Sauerbrey.
    arXiv:2609.10417

  • Stability and dynamics of planar fronts in reaction-diffusion systems under nonlocalized perturbations (2026).
    Together with B. de Rijk.
    arXiv:2601.05832

Journal articles

  • Sharp supremum and Hölder bounds for stochastic integrals indexed by a parameter.
    To appear in: Annales de l’Institut Henri Poincaré, Probabilités et Statistiques.
    Together with S. Cox.
    arXiv:2409.13615

  • Noncommutative orbital stability of stochastic patterns in Banach spaces.
    SIAM Journal on Mathematical Analysis (2026).
    arXiv:2406.16642 doi:10.1137/24M167161X

  • Synchronization by noise for traveling pulses.
    The Annals of Applied Probability (2026).
    Together with C. Kuehn.
    arXiv:2501.13565 doi:10.1214/26-AAP2308

  • Solitary waves in a stochastic parametrically forced nonlinear Schrödinger equation.
    SIAM Journal on Applied Dynamical Systems (2025).
    Together with M.V. Gnann and R.W.S. Westdorp.
    arXiv:2403.04625 doi:10.1137/24M1646686

Dissertation

  • Dynamics of patterns subject to noise.
    Delft University of Technology (2026).
    TU Delft repository

CV

Employment

  • 2026–now: Postdoctoral researcher at Leiden University, in the group of Hermen Jan Hupkes.
  • 2022–2026: PhD at Delft University of Technology, with distinction (cum laude).
    Advisors: Manuel Gnann (daily advisor) and Mark Veraar (promotor).
    My PhD was funded by a DIAM fast-track scholarship.

Education

  • 2020–2022: MSc Applied Mathematics at Delft University of Technology (cum laude).
  • 2017–2020: BSc Applied Mathematics at Delft University of Technology (cum laude, with honours).
  • 2017–2020: BSc Applied Physics at Delft University of Technology (cum laude).