Talks and Posters

Selected Talks

• SIDE15 International Conference on Symmetries and Integrability of Difference Equations
  Sirmione, Italy, June 2025
  Title: Monodromy of monodromy manifolds and symmetries of Sakai surfaces.

• Workshop on "Geometry and Integrability"
  International Centre for Mathematical Sciences (ICMS), Edinburgh, Scotland, May 2025
  Title: Monodromy of monodromy manifolds and symmetries of Sakai surfaces.

• The 13th International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory
  Special Session on 'Painlevé Equations, Integrable Systems and Related Topics'
  Athens, GA, USA, April 2025
  Title: Real and imaginary roots of generalised Okamoto polynomials and partial-rogue waves in the Sasa-Satsuma equation.

• Workshop on "Higher Painlevé equations and Garnier systems"
  Tsinghua Sanya International Mathematics Forum, China, April 2025
  Title: On the geometry of a 4-dimensional extension of the A_1^{(1)} q-Painlevé I equation.

• Joint Meeting of the New Zealand Mathematical Society, Australian Mathematical Society and American Mathematical Society
  Special Session on 'Discrete and continuous integrable systems: geometry, analysis and applications',
  University of Auckland, New Zealand, December 2024
  Title: Geometry of a four-dimensional multiplicative integrable mapping and associated fourth-order discrete Painlev´e equations.

• 研究集会「非線形波動から可積分系へ2024」
  Research meeting "From Nonlinear Waves to Integrable Systems 2024"
  Fukui University, Japan, November 2024
  Title: Geometry of a four-dimensional multiplicative integrable mapping and associated fourth-order discrete Painlevé equations.

• Discrete Integrable Systems: Difference Equations, Cluster Algebras and Probabilistic Models
  International Centre for Theoretical Sciences, Tata Institute of Fundamental Research, India, October 2024.
  Title: Geometry of a QRT-type mapping in four dimensions and associated q-discrete Painlevé equations.

• Elliptic Integrable Systems and Related Topics: Advanced Seminars
  Shanghai University, September 2024
  Title: Deautonomisation of integrable mappings and degree growth.

• CNRS-Tokyo Research Symposium on Geometric Aspects of Painlevé Equations and Related Topics
  The University of Tokyo, September 2024
  Title: Geometric aspects of delay-differential Painlevé equations.

• Algebraic and Geometric Aspects of Differential and Difference Equations (AGADDE)
  University of Portsmouth, June 2024
  Title: Roots of generalised Okamoto polynomials and partial-rogue waves in the Sasa-Satsuma equation.

• Nieliniowość i Geometria (Nonlinearity and Geometry) Seminar
  Faculty of Physics, University of Warsaw, February 2024
  Title: Roots of generalised Okamoto polynomials and partial-rogue waves in the Sasa-Satsuma equation.

• 研究集会「非線形波動から可積分系へ2023」
  Research meeting "From Nonlinear Waves to Integrable Systems 2023"
  Toyama Prefectural University, Japan, October 2023
  Title: On the zeroes of generalised Okamoto polynomials and singularity structure of real solutions of Painlevé-IV.

• Seminar of the TSVP Thematic Program "Exact Asymptotics: From Fluid Dynamics to Quantum Geometry"
  Okinawa Institute of Science and Technology (OIST), Japan, October 2023
  Title: On the zeroes of generalised Okamoto polynomials and singularity structure of real solutions of Painlevé-IV.

• 10th International Congress on Industrial and Applied Mathematics (ICIAM)  
  Minisymposium on 'Painlevé equations, Applications, and Related Topics',
  Waseda University, Tokyo, Japan, August 2023
  Title: Orthogonal polynomial ensembles and discrete Painlevé equations on the $D_5^{(1)}$ Sakai surface

• Representation Theory, Integrable Systems and Related Topics
  Satellite conference of the First International Congress of Basic Science,
  Yanqi Lake Beijing Institute of Mathematical Sciences and Applications (BIMSA), China, August 2023
  Title: Orthogonal polynomial ensembles and discrete Painlevé equations on the $D_5^{(1)}$ Sakai surface

• ISLAND VI: Dualities and Symmetries in Integrable Systems

Isle of Skye, Scotland, June 2023
Title: Full deautonomisation by singularity confinement as an integrability test: a geometric justification for birational mappings of the plane

• SIDE14.2 International Conference on Symmetries and Integrability of Difference Equations
  Warsaw, Poland, June 2023
  Title: Full deautonomisation by singularity confinement as an integrability test

• Seminar of the Applied Mathematical Analysis Laboratory
  Graduate School of Informatics, Kyoto University, Japan, April 2023
  Title: A beginner's guide to doing blow-ups on Painlevé equations

• 19th Research Group Joint Presentation Meeting of the Japan Society for Industrial and Applied Mathematics
  Organised Session of the Applied Integrable Systems Research Group,
  Okayama University of Science, Okayama, Japan, March 2023
  Title: Full deautonomisation by singularity confinement as an integrability test for birational mappings of the plane

• The 12th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory
  Special Session on 'Discrete Painlevé Equations and Related Topics'
  University of Georgia, Athens, GA, USA, March 2022
  Title: Geometric regularisation of a Hamiltonian system from a rational Calogero potential related to Painlevé-IV

• School of Mathematics and Physics Colloquium
  University of Portsmouth, UK, November 2021
  Title: Geometric regularisation of a Hamiltonian system from a rational Calogero potential related to the fourth Painlevé equation

• Discrete Mathematical Modelling Seminar
  The University of Tokyo, Japan, June 2021
  Title: Singularity confinement in delay-differential Painlevé equations

• OPSFOTA (Orthogonal Polynomials, Special Functions, Operator Theory and Applications) Seminar
  ICMS, Online, May 2021
  Title: Identifying Painlevé equations related to orthogonal polynomials: the geometric approach

• What is ... ? Seminar (WiSe)
  University of Queensland, Australia, (Online), March 2021
  Title: What is an integrable difference equation?

• FASnet20 Workshop (Formal and Analytic Solutions of Differential Equations on the Internet)
  Virtual Venue: School of Architecture at the University of Alcalá, Spain, June 2020
  Title: Singularity confinement in delay-differential Painlevé equations

• Analytic Theory of Differential Equations Seminar at the Banach Center
  Banach Center, Mathematical Institute of the Polish Academy of Sciences, Warsaw, Poland, February 2020
  Title: An introduction to the geometry of discrete Painlevé equations

• Dynamical Systems Seminar
  Institute of Mathematics, University of Warsaw, Poland, December 2019
  Title: Why take the geometric approach to Painlevé equations?

• Aoyama Suri Seminar
  Aoyama Gakuin University, Japan, November 2018
  Title: Full-parameter discrete Painlevé systems from non-translational Cremona isometries

• UCL Mathematics Postgraduate Seminar
  UCL Department of Mathematics, UK, May 2018
  Title: The Painlevé equations 

Selected Posters

• ISLAND V: Integrable Systems, Special Functions and Combinatorics
  Isle of Skye, Scotland, UK, June 2019
  Title: Singularity confinement in delay-differential Painlevé equations - towards geometric interpretation

• SIDE13 International Conference on Symmetries and Integrability of Difference Equations
  Fukuoka, Japan,  November 2018
  Title: Full-parameter discrete Painlevé systems from non-translational Cremona isometries

• Differential Algebra and Related Topics IX
  University of Leeds, UK,  August  2018
  Title: Full-parameter discrete Painlevé systems from non-translational Cremona isometries