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 […]
It is widely believed that Weierstrass ignored Eisenstein's theory of elliptic functions and developed an alternative treatment, which is now standard, because of a convergence issue. In particular, the Eisenstein […]
Title: Clouds and Climate Prof. Tapio Schneider Theodore Y. Wu Professor of Environmental Science and Engineering California Institute of Technology Abstract: Clouds are an essential regulator of climate. They cool Earth on average by 5 degrees centigrade. Yet despite their importance, the response of clouds to climate change is very uncertain. This is especially true […]
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 use of bacteriophages to treat pathogenic bacterial infections – has emerged given the spread of AMR and lack of new drug classes in the antibiotic […]
We consider the problem of comparing the number of discrete points that belong to a set with the measure (or volume) of the set, under circumstances where we expect these […]
Title: Topological descriptions of protein folding Speaker: Prof. Helen Wong, Department of Mathematical Sciences, Claremont-McKenna College. Abstract: Knotting in proteins was once considered exceedingly rare. However, systematic analyses of solved protein structures over the last two decades have demonstrated the existence of many deeply knotted proteins, and researchers now hypothesize that the knotting presents some […]
