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 passive tracer problems – with the goal of finding formulas of descriptive statistics (mean, variance, skewness) for a solute distribution advected by a smooth flow […]
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 cells. I'll analyze a mathematical model for circadian oscillations in a multinucleate cell, motivated by mRNA and protein data from the filamentous fungus Neurospora crassa. Stochastic simulations of […]
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 genes. Epistasis, the phenomenon of one mutation affecting the resulting quantitative or qualitative phenotype, is used to assess gene variation in an attempt to find […]
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 […]
Title: Collective motion in the mitotic spindle Abstract: Math models of interacting individuals moving as a collective have been profoundly successful in describing physical and social phenomena ranging from swarming insects […]
