Regular biography
Professor John Roberts is an Emeritus Professor in the School of Mathematics & Statistics at The University of New South Wales. His research focuses on dynamical systems, including integrable systems and arithmetic dynamics. He has contributed to the study of discrete integrable systems and arithmetic dynamical systems, which merge dynamics with number theory. Roberts has supervised numerous PhD and Honours projects in dynamical systems and collaborates internationally on research topics such as orbit statistics and discrete dynamical systems. He has held various leadership roles within the Australian Mathematical Society and has been involved in several research initiatives, including the ARC Centre of Excellence MASCOS.
Scholar-generated biography
John A G Roberts is a Professor of Mathematics at UNSW Sydney, specializing in dynamical systems, integrable systems, and arithmetic dynamics. His research explores time-reversal symmetry, integrable mappings, and the algebraic geometric properties of dynamical systems. Roberts investigates reversible systems, trace maps, and the interplay between discrete integrable systems and arithmetic methods. His work includes analyzing chaotic behavior, invariant curves, and the structure of reversing symmetry groups. He has contributed significantly to understanding the integrability of mappings and their connections to soliton equations and cat maps. His research bridges dynamical systems theory with number theory and algebraic geometry.