Abstract: The system of shallow water equations and related models are widely used in oceanography to model hazardous phenomena such as tsunamis and storm surges. Unfortunately, the inherent uncertainties in […]
In this talk, we present reduced order models (ROMs) for turbulent flows, which are constructed by using ideas from large eddy simulation (LES) and variational multiscale (VMS) methods. First, we […]
Abstract: Classification is a fundamental task in data science and machine learning, and in the past ten years there have been significant improvements on classification tasks (e.g. via deep learning). […]
Abstract: This talk discusses multiple methods for clustering high-dimensional data, and explores the delicate balance between utilizing data density and data geometry. I will first present path-based spectral clustering, a […]
Title: Eigenvector Methods for Community Detection in Hypergraphs Abstract: Hypergraphs are generalizations of graphs in which edges are allowed to contain arbitrary numbers of nodes. Hypergraphs are well-suited for modeling […]
Title: Mixing and Pumping on the Microscale Abstract: Mixing and pumping in microfluidics devices is difficult because the traditional methods of mixing and pumping at large length scales don’t work […]
Title: Traditional Applied Math, and then, Working with High Dimensional Biological Data Abstract: I will give an overview of my interests in two parts. The first part will be on […]
Title: Circadian Rhythms in Multinucleate Cells Abstract: Circadian rhythms are among the most researched cellular processes, but limited work has been done on how these rhythms are coordinated between nuclei in multinucleate […]
No applied math talk
Title: A Recommendation Systems Approach for Detecting Epistasis Abstract: There are a variety of methods used to understand and interpret an organism’s phenotype, the physical expression of one or more […]
Title: Exploring Phage Treatment for Bacterial Infections with Mathematical Modeling Abstract: Antimicrobial resistance (AMR) is a serious threat to global health today. A renewed interest in phage therapy – the […]
Title: Understanding Complex Social Systems using Minimal Mathematical Models Abstract: Minimal mathematical models are used to understand complex phenomena in the physical, biological, and social sciences. This modeling philosophy never […]
