Homepage of Pieter Roffelsen
All my papers can be found on .

Preprints

Papers

  1. On real and imaginary roots of generalised Okamoto polynomials, with A. Stokes.
    J. London Math. Soc., 112 (2025), 69 pages
  2. On non-integrability and singularities of dispersion-generalized NLSE, with P. Lavilles, J.J. Mitchell-Bolton, N.G.R. Broderick, Y.L. Qiang and C.M. de Sterke.
    Journal of Nonlinear Waves, 1 (2025), 18 pages
  3. On the Crystal Limit of the q-Difference Sixth Painlevé Equation, with N. Joshi.
    Journal of Nonlinear Science, 35 (2025), 30 pages
  4. On q-Painlevé VI and the geometry of Segre surfaces
    Nonlinearity, 37 (2024), 116 pages
  5. On a class of elliptic orthogonal polynomials and their integrability, with H. Desiraju and T.L. Latimer
    Constructive Approximations, 59 (2024), 44 pages
  6. On the Monodromy Manifold of q-Painlevé VI and Its Riemann–Hilbert Problem, with N. Joshi.
    Communications in Mathematical Physics, 404 (2023), 53 pages
  7. On symmetric solutions of the fourth q-Painlevé equation, with N. Joshi.
    Journal of Physics A, 56 (2023), 30 pages
  8. Roots of generalised Hermite polynomials when both parameters are large, with D. Masoero.
    Nonlinearity, 34 (2021), 70 pages
  9. On the Riemann-Hilbert Problem for a q-difference Painlevé Equation, with N. Joshi.
    Communications in Mathematical Physics, 384 (2021), 37 pages
  10. Poles of Painlevé IV Rationals and their Distribution, with D. Masoero.
    SIGMA, 14 (2018), 49 pages
  11. Analytic solutions of q-P(A1) near its critical points, with N. Joshi.
    Nonlinearity 29 (2016), 48 pages
  12. On the Number of Real Roots of the Yablonskii-Vorob’ev Polynomials.
    SIGMA, 8 (2012), 9 pages
  13. Irrationality of the Roots of the Yablonskii-Vorob'ev Polynomials and Relations between Them.
    SIGMA, 6 (2010), 11 pages