Barbara Prinari is a professor of Mathematics at the University at Buffalo, New York. Dr. Prinari's research examines how wave phenomena, by means of mathematical models, often lead to a certain class of nonlinear partial differential equations referred to as integrable systems. Her main area of research deals with nonlinear waves and integrable systems, and has focused on both the study of the integrability of certain nonlinear partial differential equations and their discretizations (differential-difference equations), as well as the properties of these equations and their solutions. In her research, she has also explored how mathematical models can be used for social and behavioral sciences. The scholar and her colleagues have applied generalized kinetic methods and artificial neural networks to analyze and control the quality of an existing neuropsychiatric ward. In 2019, they developed a dynamical systems model for triadic reciprocal determinism to study how a person experiences stress or traumatic events, and the interplay among coping self-efficacy, behavior and the perception of external environment. The Fulbright fellowship will allow the scholar to engage in deeply collaborative research projects while also teaching a graduate course, all in her areas of expertise—the mathematical description and physical applications of nonlinear waves. The goal of the collaborative research that she will carry out with Dr. Horikis in Ioannina will be to develop a rigorous direct perturbation theory for the study of dark-bright solitons of the defocusing Manakov system over a constant background for physically relevant perturbations. The project will also involve Dr. Dimitri Frantzeskakis, from the National and Kapodistrian University of Athens. As to the teaching component of the award, Dr. Prinari will teach the graduate course EM9 “Specialized Topics in Applied Mathematics”, in which she will focus on the subject of “Nonlinear waves, integrable systems and the Inverse Scattering Transform”.

Barbara Prinari
University at Buffalo, Buffalo, NY
University of Ioannina
Mathematics
February - May 2026