Ely Kerman

Ely Kerman is a Professor of Mathematics at the University of Illinois Urbana-Champaign, affiliated with the College of Liberal Arts & Sciences. His research focuses on Hamiltonian dynamics, symplectic topology, and geometric analysis. He holds a primary position in the Department of Mathematics and has contributed to interdisciplinary work in astronomy through collaborations.

His research interests include symplectic capacities, Lagrangian submanifolds, and topological data analysis applied to astrophysical systems. Recent work explores structural differences between simulated galaxies and dark matter haloes using topological methods, bridging pure mathematics with astrophysical modeling.

Publications since 2020 span symplectic geometry, convexity, and applications to astronomy. His work often intersects with geometric analysis and differential topology, addressing foundational questions in Hamiltonian systems and symplectic embeddings.