معرفی
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.
