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

In preparation

  • On monodromy of monodromy surfaces, see talk, with A. Stokes
  • Tau functions for q-Painlevé VI and Fredholm determinants, with H. Desiraju
  • On difference-differential Lax pairs in finite characteristic, with N. Joshi and T.L. Latimer

Submitted

Papers

  1. Segre surfaces and geometry of the Painlevé equations, with N. Joshi and M. Mazzocco
    Communications in Mathematical Physics, accepted for publication (2026), 77 pages
  2. Arithmetic dynamics of a discrete Painlevé equation, with N. Joshi.
    Journal of Physics A, 59 (2026), 14 pages
  3. On real and imaginary roots of generalised Okamoto polynomials, with A. Stokes.
    J. London Math. Soc., 112 (2025), 69 pages
  4. 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
  5. On the Crystal Limit of the q-Difference Sixth Painlevé Equation, with N. Joshi.
    Journal of Nonlinear Science, 35 (2025), 30 pages
  6. On q-Painlevé VI and the geometry of Segre surfaces
    Nonlinearity, 37 (2024), 116 pages
  7. On a class of elliptic orthogonal polynomials and their integrability, with H. Desiraju and T.L. Latimer.
    Constructive Approximations, 59 (2024), 44 pages
  8. On the Monodromy Manifold of q-Painlevé VI and Its Riemann–Hilbert Problem, with N. Joshi.
    Communications in Mathematical Physics, 404 (2023), 53 pages
  9. On symmetric solutions of the fourth q-Painlevé equation, with N. Joshi.
    Journal of Physics A, 56 (2023), 30 pages
  10. Roots of generalised Hermite polynomials when both parameters are large, with D. Masoero.
    Nonlinearity, 34 (2021), 70 pages
  11. On the Riemann-Hilbert Problem for a q-difference Painlevé Equation, with N. Joshi.
    Communications in Mathematical Physics, 384 (2021), 37 pages
  12. Poles of Painlevé IV Rationals and their Distribution, with D. Masoero.
    SIGMA, 14 (2018), 49 pages
  13. Analytic solutions of q-P(A1) near its critical points, with N. Joshi.
    Nonlinearity 29 (2016), 48 pages
  14. On the Number of Real Roots of the Yablonskii-Vorob’ev Polynomials.
    SIGMA, 8 (2012), 9 pages
  15. Irrationality of the Roots of the Yablonskii-Vorob'ev Polynomials and Relations between Them.
    SIGMA, 6 (2010), 11 pages