Week of Events
Applied Math Seminar — Leif Zinn-Brooks (HMC/Scripps)
Applied Math Seminar — Leif Zinn-Brooks (HMC/Scripps)
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)
New norms on matrices induced by polynomials (Angel Chavez, Pomona)
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
Topology Seminar — Matthew vonAllmen
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)
What we talk about when we talk about math (Prof. Lillian Pierce)
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 […]