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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 […]

On badly approximable numbers (Nikolai Moshchevitin, Moscow State University)

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

It is well known that a real number is badly approximable if and only if the partial quotients in its continued fraction expansion are bounded. Motivated by a recent wonderful paper by Ngoc Ai Van Nguyen, Anthony Poels and Damien Roy (where the authors give a simple alternative solution of Schmidt-Summerer's problem) we found an […]

Ken Millett (UCSB)

Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United States

Gordian Knots According to the legend of Phrygian Gordium, Alexander the Great cut the ``Gordian Knot’’ and eventually went on to rule Asia thereby fulfilling an ancient prophecy.  Where there are several descriptions of the precise nature of the Gordian Knot and Alexander’s action, an explicit mathematical treatment (the theory of thick knots) and the reasons […]

Kenneth Millett (University of California, Santa Barbara)

Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United States

Gordian Knots According to the legend of Phrygian Gordium, Alexander the Great cut the ``Gordian Knot’’ and eventually went on to rule Asia thereby fulfilling an ancient prophecy.  Where there are several descriptions of the precise nature of the Gordian Knot and Alexander’s action, an explicit mathematical treatment (the theory of thick knots) and the reasons […]

Nano Knot theory, methods to study tiny knot in nature

Freeberg Forum, LC 62, Kravis Center, CMC

Knotting in living organisms is a feature that is visible to the careful observer of biological life.  Since the 1970’s, with the increasing power of electron microscopes, scientists have been able to capture images of such structures in living organisms at near atomic levels.  We will explore the mathematics of knotting that has provided tools study these […]