Events

Math Ed Seminar

228 Gordon Palmer Hall Tuscaloosa, AL, United States

Applied Math Seminar – Kyle Mandli (Columbia University)

Title of talk:  Computational Challenges to Prediction and Mitigation of Coastal Hazards Abstract: Coastal flooding due to severe storms is one of the most widespread and damaging hazards faced around the world.  The threat of these events has grown not only due to increased population and economic reliance on coastal regions but also due to

Analysis Seminar – Yuanzhen Shao, Georgia Southern University

227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United States

Title: Some Applications of Singular Manifold Theory to Applied Mathematics Abstract: Many applications of applied sciences lead to differential equations with various types of singularities, including singularities of the geometry of the underlying space and singularities of the coefficients of the differential equations. The aim of this talk is to introduce the concept of singular manifolds, which can describe various kinds of singularities in a unified way, and then my recent work on the partial differential equation theory over singular manifolds will be presented. I will illustrate by several examples from applied mathematics how to use this theory to treat different types of singularities via a unified approach.

Analysis Seminar – Ollie Tapiola (University of Missouri)

227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United States

Title: Carleson measures, uniform wrectifiability and $\varepsilon$-approximability of harmonic functions in $L^p$ Abstract: Uniform rectifiability is a geometric property that is strongly connected with harmonic analysis and elliptic PDE. Although many powerful PDE tools are not available in spaces with uniformly rectifiable boundaries, several authors have recently managed to prove positive PDE results in this

Algebra/Topology Seminar – Patricia Cahn (Smith College)

346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United States

Title: Colored Tri-Plane Diagrams and the Slice-Ribbon Problem Abstract: We study dihedral branched covers of the four-dimensional sphere, where the branching set is a surface with one singularity modeled on the cone on a knot K.   We construct examples of these covers using colored tri-plane diagrams, which are triples of tangles that can be used