Title:Â On some Bergman type spaces of functions of nonstandard growth and related questions. Abstracts: We study various Banach spaces of holomorphic functions on the unit disc and half plane. As a main question we investigate the boundedness of the corresponding holomorphic projection. We exploit the idea of V.P.Zaharyuta, V.I.Yudovich (1962) where the boundedness of
The William Lowell Putnam Mathematical Competition is the preeminent mathematics competition for undergraduate college students in the United States and Canada. The Putnam Competition takes place annually on the first Saturday of December. The competition consists of two 3-hour sessions, one in the morning and one in the afternoon. During each session, participants work individually
Title: Mathematical models in cognitive neuroscience: advances and opportunities Abstract:  High prevalence of neurodegenerative (Parkinson’s, Alzheimer’s) and neurodevelopmental (Autism spectrum disorders, ADHD) disorders in modern population increased the demand for precision therapeutic interventions. However, the current understanding of how those diseases develop and affect brain processing over time is incomplete, and testing of in-vivo interventions
Title: Multiscale Modeling and Computation of Optically Manipulated Nano Devices Abstract: We present a multiscale modeling and computational scheme for optical-mechanical responses of nanostructures. The multi-physical nature of the problem is a result of the interaction between the electromagnetic (EM) field, the molecular motion, and the electronic excitation. To balance accuracy and complexity, we adopt the semi-classical