Jonathan Jaquette

Jonathan Jaquette is an Assistant Professor in the Department of Mathematical Sciences at New Jersey Institute of Technology (NJIT). His research focuses on rigorous numerical analysis of nonlinear partial differential equations, dynamical systems, and stability theory. Key contributions include studies on the Swift-Hohenberg equation, nonlinear Schrödinger equations, and chaotic systems. He employs validated numerical methods to analyze complex systems, ensuring mathematical correctness through computer-assisted proofs.

Research interests span topics such as periodic solutions, bifurcation analysis, and singularity formation in both conservative and nonconservative systems. His work bridges pure mathematics with computational tools, addressing challenges in validating numerical results for infinite-dimensional systems. Recent projects include investigations into quasiperiodicity, blowup phenomena, and robustness of oscillations in slow-fast chaotic systems.

Jaquette collaborates internationally on projects involving complex-time dynamics and integrable subsystems. His expertise in rigorous numerics has led to advancements in understanding global dynamics and stability properties of nonlinear equations. Despite no explicitly stated awards, his h-index of 11 and over 60 citations reflect impactful contributions to applied mathematics and dynamical systems.

His research outputs from 2017 to 2025 demonstrate sustained activity in high-impact journals like Journal of Dynamics and Differential Equations and Chaos. Current work emphasizes developing novel validation techniques for partial differential equations and exploring stability in nonconservative systems.