Jason Mireles James

Jason Mireles James is a Professor in the Department of Mathematics and Statistics at Florida Atlantic University. He develops computational methods for dynamical systems, combining topological analysis with rigorous numerical validation.

His research creates algorithms for computing invariant manifolds, connecting orbits, and chaotic dynamics in applications ranging from celestial mechanics to partial differential equations.

Recent publications focus on validated numerics for PDE stable manifolds, homoclinic chaos proofs in orbital mechanics, and computational implementations of parameterization methods.

He organizes the Analysis and Applications Seminar and teaches graduate courses in dynamical systems, complex analysis, and computer-assisted proofs.