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Applied Math Seminar — Christopher Miles (UC Irvine)

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

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 to human crowds. Especially in molecular biology, recent advances in machine-learning-based automated tracking have led to droves of new data of collective motion. I’ll discuss two […]

Collective Behavior in Locust Swarms from Data to Differential Equations (Prof. Jasper Weinburd)

Zoom

Title: Collective Behavior in Locust Swarms from Data to Differential Equations   Prof. Jasper Weinburd Department of Mathematics Harvey Mudd College   Abstract: Locusts are devastating pests that infest and destroy crops. Locusts forage and migrate in large swarms which exhibit distinctive shapes that improve efficiency on the group level, a phenomenon known as collective […]

Thanksgiving Week

Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, California

No applied math talk

Odd subgraphs are odd (Asaf Ferber, UC Irvine)

On Zoom

In this talk we discuss some problems related to finding large induced subgraphs of a given graph G which satisfy some degree-constraints (for example, all degrees are odd, or all degrees are j mod k, etc). We survey some classical results, present some interesting and challenging problems, and sketch solutions to some of them. This […]

A tribute to Professor Ellis Cumberbatch (1934-2021)

Zoom

Title: A tribute to Professor Ellis Cumberbatch (1934-2021) Abstract: The math colloquium on December 1st will be devoted to remembrances of our beloved CGU colleague Professor Ellis Cumberbatch, a pillar of the Claremont mathematics community, who passed away in September. Three brief talks by his friends and collaborators, Professor John Ockendon (University of Oxford), Dr. […]

Difference sets in higher dimensions (David Conlon, Cal Tech)

On Zoom

Let d >= 2 be a natural number. We determine the minimum possible size of the difference set A-A in terms of |A| for any sufficiently large finite subset A of R^d that is not contained in a translate of a hyperplane. By a construction of Stanchescu, this is best possible and thus resolves an […]

Where do Putnam problems come from? (Prof. Andrew Bernoff)

Title: Where do Putnam problems come from? Speaker: Andrew Bernoff, Department of Mathematics, Harvey Mudd College Abstract: The William Lowell Putnam Exam is the preeminent mathematics competition for undergraduate college students in the United States and Canada. I recently finished a three year stint on the competition’s problem committee. This talk is a personal reflection on […]

Questions on Symmetric Chains (Shahriar Shahriari, Pomona)

On Zoom

The set of subsets {1, 3}, {1, 3, 4}, {1, 3, 4, 6} is a symmetric chain in the partially ordered set (poset) of subsets of {1,...,6}. It is a chain, because each of the subsets is a subset of the next one. It is symmetric because the collection has as many subsets with less […]

Using Stitching for faster sampling (Prof. Mark Huber)

Title: Using Stitching for faster sampling Speaker: Mark Huber, Department of Mathematics, Claremont McKenna College Abstract: Point processes are used to model location data, such as the locations of trees in a forest, or cities in a plain.  Repulsive point processes modify the basic model in order to obtain points that are farther apart from each other than would […]

APPLIED MATH SEMINAR: Archetypal analysis by Professor Braxton Osting (University of Utah)

Archetypal analysis is an unsupervised learning method that uses a convex polytope to summarize multivariate data. For fixed k, the method finds a convex polytope with k vertices, called archetype points, such that the polytope is contained in the convex hull of the data and the mean squared distance between the data and the polytope […]