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Applied Math Talk: Statistical Mechanics of Molecular Evolution and its Role in the SELEX Protocol given by Prof. Bhaven Mistry (CMC)

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

Antibodies are the standard biomolecule for marking molecular structures and delivering drugs due to their specific binding capabilities. However, they are expensive to produce and their relatively large size prevents their easy traversal of bi-lipid membranes. Over the past 30 years, molecular recognition has also been achieved through the use of aptamers, short oligonucleotide sequences […]

Castelnuovo-Mumford regularity of edge ideals of graphs (Siamak Yassemi, University of Tehran)

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

Let K be a field and S = K be the polynomial ring in n variables over K. For a graded S-module M with minimal free resolution the Castelnuovo-Mumford regularity  is defined. We survey a number of recent studies of the Castelnuovo-Mumford regularity of the ideals related to a graph and their (symbolic) powers. Our […]

Stefano Vidussi (UCRiverside)

Title: The BNS invariant of the fundamental group of a surface bundle over a surface. Abstract: We will discuss some new results on the Bieri-Neumann-Strebel invariant of these groups, showing in particular that (with obvious exceptions) they algebraically fiber. As a corollary, we show that for "most" bundles these groups are not coherent.

A Tauberian theorem and some of its applications

Freeberg Forum, LC 62, Kravis Center, CMC

In general terms, a Tauberian theorem deals with the relationship between the properties of one transform of a measure with those of another transform. We will introduce the notion of a Tauberian theorm, and present our own recent theorem in this direction. Our theorem provides a uniform theory for the construction of certain localized kernels […]

GEMS Workshop: Superheroes vs. Supercomputers with Professor Jeho Park of Claremont McKenna College

Shanahan 1480, Harvey Mudd College 301 Platt Blvd., Claremont, CA, United States

  TOPIC: Superheroes vs. Supercomputers Superheroes like Wonder Woman, Black Panther, Superman, and Captain Marvel, just to name a few, all have "super" power and they save the world from "super"-villains. Well, just one catch--they are not real. In our real world, there are computers built for super power to save the (real) world. In this […]

Covering point-sets with parallel hyperplanes and sparse signal recovery (Lenny Fukshansky, CMC)

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

Let S be a set of k > n points in n-dimensional Euclidean space. How many parallel hyperplanes are needed to cover it? In fact, it is easy to prove that every such set can be covered by k-n+1 parallel hyperplanes, but do there exist sets that cannot be covered by fewer parallel hyperplanes? We […]

Tommaso Cremaschi (USC)

Title: Volumes and filling collections of multicurves Abstract: In this talk we will be concerned with links L in a Seifert-Fibered space N such that their projection to the base surface is a collection of curves G in minimal position. After stating a hyperbolization result, for the complement of L, in terms of G we […]

Kernel approaches in global statistical distances, local measure detection, and active learning

Freeberg Forum, LC 62, Kravis Center, CMC

In this talk, we'll discuss the problem of constructing meaningful distances between probability distributions given only finite samples from each distribution.  We approach this through the use of data-adaptive and localized kernels, and in a variety of contexts.  First, we construct locally adaptive kernels to define fast pairwise distances between distributions, with applications to unsupervised […]

Applied Math Talk: Robust Estimators for Monte Carlo data given by Prof. Mark Huber (CMC)

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

Data coming from Monte Carlo experiments is often analyzed in the same way as data from more traditional sources.  The unique nature of Monte Carlo data, where it is easy to take a random number of samples, allows for estimators where the user can control the relative error of the estimate much more precisely than […]

Quandle module quivers (Sam Nelson, CMC)

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

Quandle coloring quivers categorify the quandle counting invariant. In this talk we enhance the quandle coloring quiver invariant with quandle modules, generalizing both the quiver invariant and the quandle module polynomial invariant. This is joint work with Karma Istanbouli (Scripps College).

Applications of Markov Chains to Swarm Robotics and Political Redistricting

Freeberg Forum, LC 62, Kravis Center, CMC

What do swarm robotics and political redistricting have in common? One answer is Markov chains, which have recently been used in very different ways to address problems in both these areas. To get a large swarm to exhibit a desired behavior, one solution is to make each individual in the swarm fairly intelligent; another is […]

Applied Math Talk: Information Theory, Archetypal Analysis and MT Flu given by Professor Emily Stone (University of Montana-Missoula)

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

In this talk I will discuss a rather unique collection of tools and how they have been used to understand the spread of Influenza virus in the State of Montana.  With flu counts from each county over a 10 year period some patterns emerge, which explain some vectors of the disease spread.  Archetypal analysis then […]