Pieter RoffelsenView profile
Research Fellow
Mr Pieter Roffelsen is a Research Fellow at the University of Sydney , affiliated with the Integrable Systems group within the School of Mathematics and Statistics . Prior to this, he was a Research Fellow in the Geometry and Mathematical Physics group at SISSA, Trieste. His research focuses on the interplay between integrable systems, complex analysis, and algebraic geometry. Education : PhD in Mathematics (2017) from the University of Sydney under Nalini Joshi. Riemann-Hilbert theory, Painlevé equations, and monodromy manifolds form the core of his work. He explores connections between nonlinear differential/difference equations and algebraic surfaces like Segre and Jimbo-Fricke cubic surfaces, with applications to special functions and quantisation problems. His publications reveal a strong emphasis on: q-difference Painlevé equations Monodromy manifolds and Segre surfaces Orthogonal polynomials on elliptic curves Quantisation and asymptotics Nonlinear connection problems Roffelsen collaborates with leading mathematicians including Nalini Joshi , Davide Masoero , and Marta Mazzocco . Key recent works investigate the crystal limit of q-Painlevé equations, geometric visualizations of Segre surfaces, and asymptotic distributions of polynomial zeros.
