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Emmy Noether Room, Millikan 1021, Pomona College

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610 N. College Ave.
Claremont, California 91711 Get Directions
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(Cancelled!!) Applied Math Talk: Stable planar vegetation stripe patterns on sloped terrain in dryland ecosystems given by Prof. Paul Carter (University of Minnesota)

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

In water-limited regions, competition for water resources results in the formation of vegetation patterns; on sloped terrain, one finds that the vegetation typically aligns in stripes or arcs. The dynamics of these patterns can be modeled by reaction-diffusion PDEs describing the interplay of vegetation and water resources, where sloped terrain is modeled through advection terms […]

Graph coloring reconfiguration systems (Prateek Bhakta, University of Richmond)

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

For k >= 2, the k-coloring graph C(G) of a base graph G has a vertex set consisting of the proper k-colorings of G with edges connecting two vertices corresponding to two different colorings of G if those two colorings differ in the color assigned to a single vertex of G. A base graph whose […]

Applied Math Talk: Approaches to modeling dispersal and swarm behavior at multiple scales given by Prof. Christopher Strickland ( The University of Tennessee, Knoxville)

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

Biological invasions often have outsized consequences for the invaded ecosystem and represent an interesting challenge to model mathematically. Landscape heterogeneity, non-local or time-dependent spreading mechanisms, coarse data, and air or water flow transport are but a few of the complications that can greatly affect our understanding of small organism movement – a critical component of […]

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 […]

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 […]

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).

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 […]

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 […]

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 […]

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 […]

Dragging the roots of a polynomial to the unit circle (Sinai Robins, University of Sao Paulo)

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

Several conditions are known for a self-inversive polynomial that ascertain the location of its roots, and we present a framework for comparison of those conditions. We associate a parametric family of polynomials p_α(x) to each such polynomial p, and define cn(p), il(p) to be the sharp threshold values of α that guarantee that, for all […]

Computational bounds for doing harmonic analysis on permutation modules of finite groups (Mike Orrison, HMC)

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

In this talk, I will describe an approach to finding upper bounds for the number of arithmetic operations necessary for doing harmonic analysis on permutation modules of finite groups. The approach takes advantage of the intrinsic orbital structure of permutation modules, and it uses the multiplicities of irreducible submodules within individual orbital spaces to express […]