Joshua Capel

Dr. Joshua Capel is a Lecturer at the School of Mathematics & Statistics, University of New South Wales (UNSW), Sydney. His research focuses on mathematical physics, differential geometry, and integrable systems, particularly in the classification of superintegrable systems and their geometric properties. He has published key works on invariant classification in 3D and conformally flat superintegrable systems in 2D, contributing to the fields of symmetry analysis and theoretical physics.

Recent Publications Trends: His work emphasizes geometric and algebraic methods in the study of superintegrable systems, leveraging symmetry principles and integrability conditions across two- and three-dimensional spaces. These articles appear in journals like Symmetry Integrability and Geometry Methods and Applications Sigma and Journal of Physics A Mathematical and Theoretical.