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Applied Math Seminar — Amy Buchmann (University of San Diego)

Emmy Noether Room, Estella 1021, Pomona College, 610 N. College Ave., Claremont, CA, United States

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 at small length scales. Experimental work has suggested that rotating helical flagella may be used to effectively mix and pump fluid in microfluidics devices. To […]

An algebraic introduction to the Kauffman bracket skein algebra (Helen Wong, CMC)

On Zoom

The Kauffman bracket skein algebra was originally defined as a generalization of the Jones polynomial for knots and links on a surface and is one of the few quantum invariants where the connection to hyperbolic geometry is fairly well-established.  Explicating this connection to hyperbolic geometry requires an understanding of the non-commutative structure of the skein algebra, […]

Virtual Trivalent Spatial Graphs . . . (Sherilyn Tamagawa)

Title: Virtual Trivalent Spatial Graphs and Virtual Niebrzydowski Algebras Speaker: Prof. Sherilyn Tamagawa Visiting Assistant Professor Pomona College Abstract: If you were given two tangled up circles of string, could you untangle one to look like the other without cutting and reattaching the string? How could you tell? Knot theory explores answers to these questions. In this […]

Applied Math Seminar — Manuchehr Aminian (Cal Poly Pomona)

Emmy Noether Room, Estella 1021, Pomona College, 610 N. College Ave., Claremont, CA, United States

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 […]

Critical points of toroidal Belyi maps (Edray Goins, Pomona)

On Zoom

A Belyi map $\beta: \mathbb{P}^1(\mathbb{C}) \to \mathbb{P}^1(\mathbb{C})$ is a rational function with at most three critical values; we may assume these values are $\{ 0, \, 1, \, \infty \}$.  Replacing $\mathbb{P}^1$ with an elliptic curve $E: \ y^2 = x^3 + A \, x + B$, there is a similar definition of a Belyi […]

Interrupted Time Series Models for Assessing Complex Health Care Interventions (Maricela Cruz, PhD)

Zoom meeting , United States

Title: Interrupted Time Series Models for Assessing Complex Health Care Interventions Maricela Cruz, PhD Assistant Investigator Biostatistics Unit Kaiser Permanente Washington Health Research Institute Abstract:  Assessing the impact of complex interventions on measurable health outcomes is a growing concern in health care and health policy. According to the 2018 Annual Review of Public Health, interrupted time […]

Applied Math Seminar — Leif Zinn-Brooks (HMC/Scripps)

Emmy Noether Room, Estella 1021, Pomona College, 610 N. College Ave., Claremont, CA, United States

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 […]

New norms on matrices induced by polynomials (Angel Chavez, Pomona)

On Zoom

The complete homogeneous symmetric (CHS) polynomials can be used to define a  family of norms on Hermitian matrices. These 'CHS norms' are peculiar in the sense that they depend only on the eigenvalues of a matrix and not its singular values (as opposed to the Ky-Fan and Schatten norms). We will first give a general overview behind […]

Topology Seminar — Matthew vonAllmen

Zoom meeting , United States

Title: Untying Knots with Neural Nets Abstract: Neural networks can transform 3-dimensional data in a manner reminiscent of an ambient isotopy. With some modifications, a neural network can be trained to manipulate the vertices of a knot while respecting its topological structure. We use the discrete Mo ̈bius energy as a loss function to incentivize […]

What we talk about when we talk about math (Prof. Lillian Pierce)

Zoom

Title: What we talk about when we talk about math Speaker: Prof. Lillian Pierce, Nicholas J. and Theresa M. Leonardy Professor of Mathematics at Duke University Abstract: In 1864, the mathematician J. J. Sylvester wrote: May not Music be described as the Mathematics of the sense, Mathematics as Music of the reason?...Thus the musician feels […]