1. Non-uniqueness for the Complex Ginzburg-Landau Equation

    With Vladimír Šverák

    (2026) [arXiv] [Code]

  2. Monotonicity of the first Dirichlet eigenvalue of regular polygons

    With Javier Gómez-Serrano and Joana Pech-Alberich

    Submitted (2026) [arXiv] [Code (Zenodo)] [Code (GitHub)]

  3. Self-Similar Singular Solutions to the Nonlinear Schrödinger and the Complex Ginzburg-Landau Equations

    With Jordi-Lluís Figueras

    Submitted (2024) [arXiv] [Code]

  4. Highest cusped waves for the fractional KdV equations

    Journal of Differential Equations, 401, 550-670 (2024) [arXiv] [DOI] [Code]

  5. Highest Cusped Waves for the Burgers–Hilbert Equation

    With Javier Gómez-Serrano

    Archive for Rational Mechanics and Analysis, 247, 5 (2023) [arXiv] [DOI] [Code]

  6. A counterexample to Payne’s nodal line conjecture with few holes

    With Javier Gómez-Serrano and Kimberly Hou

    Communications in Nonlinear Science and Numerical Simulation, 103, 105957 (2021)

    Special Issue “Computer Assisted Proofs in Dynamical Systems” [arXiv] [DOI] [Code]

  7. Computation of Tight Enclosures for Laplacian Eigenvalues

    With Bruno Salvy

    SIAM Journal on Scientific Computing, 42(5), 3210–3232 (2020) [arXiv] [DOI] [Code]

  8. Swapping trajectories with a sufficient sanitizer

    With Julián Salas, David Megías, Vicenç Torra, Marina Toger, and Raazesh Sainudiin

    Pattern Recognition Letters (2020) [DOI]

  9. Enclosing all zeros of a system of analytic functions

    With Marcelo F. Ciappina and Warwick Tucker

    Applied Mathematics and Computation, 348 (2019) [DOI]