Date Event Type Event Name Abstract
07/19/2017 Graduate Student Summer Seminar TBA
07/19/2017 REU Colloquium The Crossing Number of Complete Graphs The crossing number of a graph G, denoted by cr(G), is the minimal number of edge crossings of a "good" drawing of G in the plane. The main motivation is to study the crossing number of the complete graph, as well as the complete bipartite and tripartite graphs. We discuss some famous conjectures...
07/17/2017 Graduate Student Summer Seminar TBA
07/17/2017 REU Colloquium Lehmer's Conjecture: An Open Problem The Mahler measure of a polynomial is the product of the leading coefficient, and the modulus of all roots which fall outside the unit circle. Lehmer conjectured that the smallest Mahler measure of a polynomial with integer coefficients, strictly greater than 1, is approximately 1.176. Lehmer found...
07/14/2017 REU Colloquium p-adic Henon maps, attractors, and horseshoes
07/12/2017 Graduate Student Summer Seminar An Introduction to Dynamical Galois Theory A polynomial f(x) with rational coefficients induces a self-map from the set of algebraic numbers to itself, and thus determines a discrete dynamical system. Given a rational base point b, the Galois groups of the splitting fields of the polynomials f^n(x)-b are determined by the backward orbit of...
07/12/2017 REU Colloquium Partitions: Proof by Generating Series
07/10/2017 Graduate Student Summer Seminar Understanding Residual Finiteness A group described in terms of a group presentation can be difficult to understand. In general, even determining if such a group is trivial is not algorithmically decidable. However, it is easy to define group homomorphisms whose domain has a known presentation, and these homomorphisms can be used...
07/10/2017 REU Colloquium When Fourth Moments are Enough
07/05/2017 Graduate Student Summer Seminar Normal Mathematics What exactly does normal mean? It changes based upon what context you're in. The goal of this talk is to discuss what normal means in the various contexts and how some of these definitions overlap.
06/16/2017 M.Sc.Defense Amazing Graze: Milking the Cow Problem for Insights about Parametric Integration In the Cow Problem, a cow is tethered to a silo and we are asked to find the total area available to the cow for grazing. The paper is an investigation into the types of active learning and problem solving behaviors that might be elicited by the Cow Problem, were it to serve as the central task in...
06/15/2017 Ph.D.Defense Computable Randomness, and Coding the Orbits of the Collatz Map In this thesis I will look at a definition of computable randomness from Algorithmic Information Theory as defined by Andre Nies through the lens of Computable Analaysis as defined by Klaus Weihrauch. I will show that despite the fact that these two paradigms generate distinct classes of computable...
06/15/2017 M.Sc.Defense Improving Min Hash for Metagenomic Taxonomic Profiling Min hash is a probabilistic method for estimation the similarity of two sets in terms of their Jaccard index. We demonstrate that this method performs best when the sets under consideration are of similar size and the performance degrades considerably when the sets are of very disparate size. In...
06/14/2017 Student Event MTH 251 Help Session: Review session for final
06/14/2017 Ph.D.Defense Topological and Dynamical Properties of Cyclically Presented Groups Groups given by generators and relations are naturally related to topology via the fundamental group. Indeed, given a group presentation one can form a two dimensional cellular model whose fundamental group is given by the presentation. We may therefore speak of topological properties of a group...
06/13/2017 M.Sc.Defense Kaczmarz and Randomized Kaczmarz Method Nurideen's advisor is Prof. David Finch.
06/13/2017 Ph.D.Defense Shift Dynamics of Cyclically Presented Groups with Positive Length Four Relators A 2014 paper of W. Bogley identifies a relation between the algebraic and geometric properties of cyclically presented groups defined by positive length three relators. The work presented here extends those results to cyclically presented groups defined by positive length four relators. These...
06/12/2017 Student Event MTH 112 Help Session: Review session for final
06/12/2017 Student Event MTH 241 Help Session: Review session for final
06/12/2017 Student Event MTH 252 Help Session: Review session for final

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