Most of my papers can be found on
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In preparation
- On monodromy of monodromy surfaces, see talk, with A. Stokes
Submitted
- A tau function for q-Painlevé VI as a Fredholm determinant, with H. Desiraju, 2026
- On difference-differential Lax pairs and integrals of Painlevé equations in finite characteristic,
with N. Joshi and T.L. Latimer, 2026 - Geometric addition on high-degree elliptic curves, with N. Joshi and T.L. Latimer, 2026
- On integrals of non-autonomous dynamical systems in finite characteristic, with N. Joshi, 2026
Papers
- Segre surfaces and geometry of the Painlevé equations, with N. Joshi and M. Mazzocco
Communications in Mathematical Physics, 407 (2026), 77 pages - Extensions and generalizations of an analytic method for finding stationary solutions to GNLS
with O. Adiv, N.G.R. Broderick, C.M. de Sterke and Y.L. Qiang, Physica D, 496 (2026), 17 pages - Arithmetic dynamics of a discrete Painlevé equation, with N. Joshi.
Journal of Physics A, 59 (2026), 14 pages - On real and imaginary roots of generalised Okamoto polynomials, with A. Stokes.
J. London Math. Soc., 112 (2025), 69 pages - 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 - On the Crystal Limit of the q-Difference Sixth Painlevé Equation, with N. Joshi.
Journal of Nonlinear Science, 35 (2025), 30 pages - On q-Painlevé VI and the geometry of Segre surfaces
Nonlinearity, 37 (2024), 116 pages - On a class of elliptic orthogonal polynomials and their integrability, with
H. Desiraju and T.L. Latimer.
Constructive Approximations, 59 (2024), 44 pages - On the Monodromy Manifold of q-Painlevé VI and Its Riemann–Hilbert Problem, with N. Joshi.
Communications in Mathematical Physics, 404 (2023), 53 pages - On symmetric solutions of the fourth q-Painlevé equation, with N. Joshi.
Journal of Physics A, 56 (2023), 30 pages - Roots of generalised Hermite polynomials when both parameters are large, with D. Masoero.
Nonlinearity, 34 (2021), 70 pages - On the Riemann-Hilbert Problem for a q-difference Painlevé Equation, with N. Joshi.
Communications in Mathematical Physics, 384 (2021), 37 pages - Poles of Painlevé IV Rationals and their Distribution, with D. Masoero.
SIGMA, 14 (2018), 49 pages - Analytic solutions of q-P(A1) near its critical points, with N. Joshi.
Nonlinearity 29 (2016), 48 pages - On the Number of Real Roots of the Yablonskii-Vorob’ev Polynomials.
SIGMA, 8 (2012), 9 pages - Irrationality of the Roots of the Yablonskii-Vorob'ev Polynomials and Relations between Them.
SIGMA, 6 (2010), 11 pages