David Cruz-Uribe
GREX 2018
302 Gordon Palmer HallResearch Talks by Math Faculty Shan Zhao Bulent Tosun Stavros Belbas Mojdeh Rasoulzadeh Kabe Moen
Math Honors Day Reception
302 Gordon Palmer HallColloquium – Maria Laura delle Monache (Inria Grenoble – Rhône Alpes)
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTopic: Control of traffic flow: from ramp metering to autonomous vehicles Abstract: In this talk, we will consider different control frameworks for traffic flow. In particular, we will show the evolution of traffic control from classical strategies (for example ramp-metering) to more modern approaches using autonomous vehicles. We will introduce different ways to describe mathematically
Colloquium – Rodrigo Bañuelos, Purdue University
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: On the discrete Hilbert transform Abstract: The discrete Hilbert transform, acting on the space of (doubly infinite) sequences, was introduced by David Hilbert at the beginning of the 20th century. It is the discrete analogue of the continuous Hilbert transform acting on functions on the real line (conjugate function in the periodic case).
Colloquium – Yuanzhen Shao, Georgia Southern University
302 Gordon Palmer HallTitle: Singular Manifold Theory and Its Applications Abstract: The aim of this talk is to introduce the concept of singular manifolds, which can describe various kinds of geometric and analytic singularities in a unified way, and then my recent work on the partial differential equation theory over singular manifolds will be presented. Based on this theory, I will investigate several linear and nonlinear parabolic equations arising from geometric analysis and applied sciences. Emphasis will be placed on geometric flows with “bad” initial metrics.
Colloquium – Kyungyong Lee, University of Nebraska-Lincoln
Topic: Introduction to cluster algebras Abstract: The theory of cluster algebras is one of the most mathematically well-studied areas in mathematical physics. Since its discovery in 2001, it has been shown that cluster algebras are related to diverse areas of mathematics such as algebraic geometry, commutative algebra, knot theory, total positivity, quiver representations, string theory, statistical
Analysis Seminar – Alexey Karapetyants, Rostov on the Don, Russia
230 Gordon Palmer Hall 505 Hackberry Lane, AL, United StatesTitle: 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
Research Talk – Xin Zhou, University of California, Santa Barbara
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Multiplicity One Conjecture in Min-max theory Abstract: I will present a recent proof of the Multiplicity One Conjecture in Min-max theory. This conjecture was raised by Marques and Neves as the key step to establish a Morse theory for the area functional. It says that in a closed manifold of dimension between 3 and 7 with
Colloquium in Honor of Hispanic Heritage Month – Ivelisse Rubio, University of Puerto Rico
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: The covering method: an intuitive approach to the computation of p-divisibility of exponential sums Abstract: Exponential sums over finite fields are an important tool for solving mathematical problems and have applications to many other areas. However, some of the methods and proofs of the results are non-elementary. The main purpose of this talk
Colloquium: Jo Ellis-Monaghan (Saint Michael’s College)
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Combinatorial, topological, and computational approaches to DNA self-assembly. Abstract: Applications of immediate concern have driven some of the most interesting questions in the field of graph theory, for example graph drawing and computer chip layout problems, random graph theory and modeling the internet, graph connectivity measures and ecological systems, etc. Currently, scientists are engineering