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 […]
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 […]
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 […]
Jim Hoste will do an interpretive knot dance.
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 […]
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 […]
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 […]
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 […]
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 […]
No applied math talk
Panelists: Tatiana Bradley, Michelle Goodwin, Isys Johnson, John Lentfer, and Matthew vonAllmen We will have a panel discussion with graduates from the Claremont Consortium who have taken different pathways after graduation. After introductions, there will be time for open questions from the audience. Afterward, breakout rooms will be open for a casual discussion with the panelists and […]
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 […]
