{"id":15414,"date":"2024-04-01T08:00:19","date_gmt":"2024-03-31T23:00:19","guid":{"rendered":"https:\/\/www.waseda.jp\/inst\/wias\/?p=15414"},"modified":"2025-11-04T10:11:41","modified_gmt":"2025-11-04T01:11:41","slug":"%e7%a7%8b%e5%b1%b1-%e5%be%b9-2-6-2-5-12","status":"publish","type":"post","link":"https:\/\/www.waseda.jp\/inst\/wias\/other-en\/2024\/04\/01\/15414\/","title":{"rendered":"STOKES, Alexander"},"content":{"rendered":"
Name<\/h5>\n

STOKES, Alexander<\/p>\n

Degree<\/h5>\n

Ph.D. in Mathematics<\/p>\n

HP (URL)<\/h5>\n

https:\/\/sites.google.com\/view\/alexanderstokes<\/a><\/p>\n

Status<\/h5>\n

Assistant Professor<\/p>\n

Research Topic<\/h5>\n

Extending the geometric theory of discrete Painlev\u00e9 equations to higher and infinite dimensions<\/p>\n

My research seeks to understand a class of mathematical models known as nonlinear integrable systems. While nonlinearity generally leads to chaos, integrable systems exhibit regular behaviour and an abundance of symmetry, which can in many cases be explained in terms of some underlying geometric structure. My current work aims to extend the geometric picture for a class of integrable systems in two-dimensions, called Painlev\u00e9 equations, to analogous systems in higher and infinite dimensions.<\/p>\n

Monthly Spotlight<\/h5>\n

[Monthly Spotlight] is focusing on a researcher to introduce his\/her research.
\nIntegrability, geometry and mathematical phenomenology<\/a><\/p>\n

Education and Academic Employment<\/h5>\n

Education<\/strong><\/p>\n\n\n\n\n\n
2017-2020<\/td>\nUniversity College London (PhD in Mathematics)<\/td>\n<\/tr>\n
2016<\/td>\nThe University of Sydney, School of Mathematics and Statistics (Honours in Applied Mathematics)<\/td>\n<\/tr>\n
2011-2015<\/td>\nThe University of Sydney (Bachelor of Science (Advanced Mathematics) and Bachelor of Arts (Major in Japanese Studies))<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Academic Employment<\/strong><\/p>\n\n\n\n\n\n\n\n
2023-2024<\/td>\nWarsaw University, Faculty of Mathematics, Informatics and Mechanics, Research Assistant Professor (adjunct)<\/td>\n<\/tr>\n
2021-2023<\/td>\nThe University of Tokyo, Graduate School of Mathematical Sciences, JSPS Fellow<\/td>\n<\/tr>\n
2021<\/td>\nLondon Mathematical Society Early Career Fellow, hosted at Loughborough University and University of Warsaw<\/td>\n<\/tr>\n
2020-2021<\/td>\nKing\u2019s College London, Department of Mathematics, External Teaching Assistant<\/td>\n<\/tr>\n
2017-2021<\/td>\nUniversity College London, Department of Mathematics, Graduate Tutor\/Demonstrator<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
Fields of Research Interests<\/h5>\n

Integrable systems, Painlev\u00e9 equations, discrete Painlev\u00e9 equations, delay-differential Painlev\u00e9 equations, mathematical physics, integrability of birational mappings<\/p>\n

Academic Publications<\/h5>\n

[Journal articles]<\/p>\n

    \n
  • P. Roffelsen and A. Stokes, \u201cOn real and imaginary roots of generalised Okamoto polynomials\u201d,\u00a0Journal of the London Mathematical Society 112 (2025), no. 4, e70329, 69pp.<\/li>\n
  • A. Stokes, T. Takenawa and A. S. Carstea, \u201cOn the geometry of a 4-dimensional extension of a q-Painlev\u00e9 I equation with symmetry type A_1^{(1)}\u201d,\u00a0Journal of Physics A: Mathematical and Theoretical 58 (2025), no. 40, 405201, 30pp.<\/li>\n
  • A. Dzhamay, Y. Shi, A. Stokes and R. Willox, \u201cWhat is the symmetry group of a d-PII discrete Painlev\u00e9 equation?\u201d, Mathematics 13 (2025), no. 7, article number 1123, 28pp.<\/li>\n
  • A. Stokes, T. Mase, R. Willox and B. Grammaticos, \u201cDeautonomisation by singularity confinement and degree growth\u201d, Journal of Geometric Analysis 35 (2025), article number 65, 63pp.<\/li>\n
  • J. Gibbons, A. Stokes and A. P. Veselov, \u201cDelay Painlev\u00e9-I equation, associated polynomials and Masur-Veech volumes\u201d, Journal of Geometry and Physics 202 (2024), 105225.<\/li>\n
  • A. Dzhamay, G. Filipuk, A. Lig\u0119za and A. Stokes, \u201cDifferent Hamiltonians for differential Painlev\u00e9 equations and their identification using a geometric approach\u201d, Journal of Differential Equations 399 (2024), 281-334.<\/li>\n
  • G. Filipuk and A. Stokes, \u201cOrbifold Hamiltonian structures of certain quasi-Painlev\u00e9 equations\u201d, Journal of Dynamics and Differential Equations (2024)<\/li>\n
  • G. Filipuk and A. Stokes, \u201cOn Hamiltonian structures of quasi-Painlev\u00e9 equations\u201d, Journal of Physics A: Mathematical and Theoretical 56 (2023), no. 49, 495205, 37pp.<\/li>\n
  • G. Filipuk and A. Stokes, \u201cTakasaki\u2019s rational fourth Painlev\u00e9-Calogero system and geometric regularisability of algebro-Painlev\u00e9 equations\u201d, Nonlinearity 36 (2023), no. 10, 5661-5697.<\/li>\n
  • A. Dzhamay, G. Filipuk and A. Stokes, \u201cDifferential equations for the recurrence coefficients of semi-classical orthogonal polynomials and their relation to the Painlev\u00e9 equations via the geometric approach\u201d, Studies in Applied Mathematics 148 (2022), no. 4, 1656-1702.<\/li>\n
  • A. Dzhamay, G. Filipuk and A. Stokes, \u201cOn differential systems related to generalized Meixner and deformed Laguerre orthogonal polynomials\u201d, Integral Transforms Special Functions 32 (2021), no. 5-8, 483-492.<\/li>\n
  • A. Dzhamay, G. Filipuk, A. Lig\u0119za and A. Stokes, \u201cHamiltonian structure for a differential system from a modified Laguerre weight via the geometry of the modified third Painlev\u00e9 equation\u201d, Applied Mathematics Letters 120 (2021), 107248.<\/li>\n
  • A. Dzhamay, G. Filipuk and A. Stokes, \u201cRecurrence coefficients for discrete orthogonal polynomials with hypergeometric weight and discrete Painlev\u00e9 equations\u201d,\u00a0Journal of Physics A: Mathematical and Theoretical\u00a053 (2020), no. 49, 495201, 29pp.<\/li>\n
  • A. Stokes, \u201cSingularity confinement in delay-differential Painlev\u00e9 equations\u201d, Journal of Physics A: Mathematical and Theoretical\u00a053 (2020), no. 43, 435201, 31pp.<\/li>\n
  • A. Stokes, \u201cFull-parameter discrete Painlev\u00e9 systems from non-translational Cremona isometries\u201d,\u00a0Journal of Physics A: Mathematical and Theoretical\u00a051 (2018), no. 49, 495206, 31pp.<\/li>\n<\/ul>\n

    [Refereed proceedings]<\/p>\n

      \n
    • G. Filipuk, A. Lig\u0119za and A. Stokes, \u201cRelations between different Hamiltonian forms of the third Painlev\u00e9 equation\u201d, in Recent Trends in Formal and Analytic Solutions of Diff. Equations, Contemp. Math. 782, Amer. Math. Soc., 2023.<\/li>\n
    • A. Dzhamay, G. Filipuk, A Lig\u0119za and A. Stokes, \u201cOn Hamiltonians related to the second Painlev\u00e9 equation\u201d, Proceedings of the conference Contemporary Mathematics in Kielce 2020, Jan Kochanowski University in Kielce, Poland, (2021), 74-84.<\/li>\n<\/ul>\n
      Other Interests<\/h5>\n

      Music, cycling, architecture, the ocean<\/p>\n

      Affiliated Academic Organizations<\/h5>\n

      Japan Society for Industrial and Applied Mathematics<\/p>\n

      Awards<\/h5>\n

      2019<\/strong> : Andrew Rosen Prize (awarded by Department of Mathematics, University College London)
      \n2018<\/strong> : Sir George Jessel Studentship (awarded by Department of Mathematics, University College London)
      \n2018<\/strong> : Poster Presentation Prize of the SIDE13 International Conference on Symmetries and Integrability of Difference Equations
      \n2015<\/strong> : K. E. Bullen Scholarship II in Applied Mathematics (awarded by School of Mathematics and Statistics, The University of Sydney)
      \n2014<\/strong> : Mark Kwan Memorial Prize for Japanese Studies (awarded School of Languages and Cultures, The University of Sydney)<\/p>\n","protected":false},"excerpt":{"rendered":"

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