Jorge Gonzalez joined the FAU Department of Mathematical Sciences in the Fall of 2013. After distinguishing himself in his course work and qualifying exams at FAU, he began work on his dissertation in 2015 under the supervision of Professors J.D. Mireles James and Necibe Tuncer. He completed his Ph.D. from The Department of Mathematical Sciences at Florida Atlantic University in 2020.
After this, Jorge was awarded a prestigious National Science Foundation postdoctoral fellowship, and moved to the Georgia Institute of Technology to work with Professor Rafael de la Llave. This was one of only thirty awards in mathematics made by the NSF that year. As an NSF postdoc, Jorge spent the next three years in Atlanta building his scientific research program.
Jorge's research illuminates complex behavior in nonlinear dynamical systems and spans topics ranging from invariant manifolds, to non-Gaussian processes, to Arnold diffusion, to renormalization theory. Numerical computations and computer assisted proofs play an important role in his work, which has important applications to physics, engineering, biology, economics and even to better understanding mathematics itself.
For example, while invariant manifolds are important for understanding the behavior of complex systems, they are also notoriously hard to get your hands on. Computational methods for finding them are important for applications in both pure and applied mathematics. Jorge developed powerful new techniques for studying invariant manifolds in models ranging from simple descriptions of ecological competition to complicated nonlinear partial differential equations describing flame fronts and mixing fluids.
Jorge has presented the results of his research at international conferences and seminars in Canada, France, Spain, Poland, and Germany as well as across the United States. In the summer of 2019, he completed a research internship in the Office for Naval Research's Center for Cyber Warfare, where he applied his mathematical background in nonlinear dynamics to the development of new methods for threat detection in computer networks. This led to several publications in engineering journals.
In the Fall, 2023, Jorge Gonzalez returned to Florida Atlantic University as a postdoctoral fellow working with Charles E. Schmidt College of Science Dean Valery Forbes, Ph.D., as part of an interdisciplinary, multi-institutional study funded by the National Science Foundation’s Rules of Life Program. The goal of the project is to understand the rules by which living cells maintain their function as external conditions change.
In particular, they study the emergence of mechanisms that preserve homeostasis in cells of mammals under changes in glucose, temperature, and oxygen conditions and monitor physiological, morphological, and epigenetic responses. While some species evolved a strict homeostasis like humans, other species, such as camels and deep-diving mammals, permit a wide variation of internal conditions (e.g., body temperature, blood oxygen levels) in response to their respective environments. This is an ongoing study.
This Spring Dr. Jorge Gonzalez was hired by Embry-Riddle Aeronautical University and will begin his tenure track position in the Department of Mathematics there this coming Fall! Congratulations Dr. Gonzalez!
