Department of Mathematics

Graduate Student Presentations

UCCS University Photo

Math Graduate Student Presentations

Spring Semester 2017

DateSpeakerTitle / Abstract
April 7, 2016 12:00-1:30pm
OSB A215
Tommy McDowellTITLE:  Numerical Study of the Stem in 3142-Soliton Solution of KP 

ABSTRACT: PDF

Math Graduate Student Presentations

Spring Semester 2016

DateSpeakerTitle / Abstract
April 7, 2016 12:00pm OSB A327Ikko SaitoTITLE: Traceless Matrices that are not Commutators which each equivalence class contains a unique possessing these ABSTRACT: By a classical result, for any field F and a positive integer n, a matrix Mn(F) is a comumutator if and only if it has trace zero. This is no longer true if F is replaced with an arbitrary ring R. But the only known example of matrices which have trace zero and are not commutators are of the size 2x2. The purpose of this thesis is to construct an nxn matrix for any positive integer n>2 which has trace zero but is not a commutator.
April 7, 2016 1:00pm OSB A327Katherine CliffTITLE: An Introduction to Information Geometry equivalence mentation class contains a unique possessing these ABSTRACT: Information Geometry is the application of differential geometry to probability theory. After introducing the basic notation and vocabulary of information geometry, we will examine some fundamental results relations to the asymptotic theory of information and the relationships between statistical manifolds

Math Graduate Student Presentations

Spring Semester 2015

DateSpeakerTitle / Abstract
September 22, 2015 12:30pm-1:00pm ENG 239Reece AdragnaTITLE: An Introduction to Information Geometry equivalence mentation class contains a unique possessing these ABSTRACT: Information Geometry is the application of differential geometry to probability theory. After introducing the basic notation and vocabulary of information geometry, we will examine some fundamental results relations to the asymptotic theory of information and the relationships between statistical manifolds

Math Graduate Student Presentations

Spring Semester 2016

DateSpeakerTitle / Abstract
July 16, 2015Luke HarmonTITLE: A set-theoretic foundation of mathematical induction ABSTRACT: We will use Godel-Bernays set theory, with the 'standard' axiom of infinity replaced by Tarski's infinity axiom, to rigorously construct the set of natural numbers. This construction will then be used to justify the ubiquitous Induction Principle.
August 6, 2015Kathryn ArthurTITLE: Markov Chains

Math Graduate Student Presentations

Spring Semester 2013

DateSpeakerTitle / Abstract
December 17, 2013Henri NdayaCoding Theory - Error correcting codes: A special look at the Reed-Muller Codes ABSTRACT:The purpose of my presentation is to focus on linear codes and conclude with a special look at a family of codes (the Reed-Muller Codes) defined recursively with interesting properties and easy code decoding algorithms.

Math Graduate Student Presentations

Spring Semester 2013

DateSpeakerTitle / Abstract
April 25, 2013Robert MarionMethod of Multiple Scales with an Application to Water Waves
April 25, 2013Katie HendricksAlgebraic Topology: Fundamental Groups
April 25, 2013Andrea EsslerLinear Programming The Simplex Method
April 25, 2013Gaetan DelavignetteModeling the Risk of Cancer
April 25, 2013Kevin EwingThe Richardson Arms Race Model-An Elementary Analysis and a Nonlinear Modification
April 25, 2013Ben SchoonmakerAn Examination of the K0 Groups of the Leavitt Path Algebras of some Cayley Graphs

Math Graduate Student Presentations

Fall Semester 2012

DateSpeakerTitle / Abstract
Dec 6, 2012David EnglandPsudospectral Methods for Optimal Control
Dec 6, 2012Joshua CarnahanNelder-Mead Method and Applications

Math Graduate Student Presentations

Spring Semester 2012

DateSpeakerTitle / Abstract
April 18, 2012James ParmenterGraphs of Leavitt Path Algebras: e A natural equivalence relation on finite acyclic directed graphs arises from the graded isomorphisms between finite dimensional Leavitt path algebras. We will identify graph-theoretic properties for which each equivalence class contains a unique possessing these properties.
May 1, 2012Tracey MorelandGravitational Effects on Blood Flow Velocity: How fast does blood flow through the arteries with each heart beat? In this presentation I will look at Womersley flow, a classical approach to calculating blood flow velocity. This approach assumes flow through a rigid tube, and uses concepts from fluid mechanics to model the flow velocity. Bessel functions and the Navier-Stokes equations are used in the model, and Fourier series are used to model the pressure gradient function. I will also examine an extension to the model to include gravitational effects on blood flow. Results will be given for various gravitational fields and for different animals.
May 1, 2012Jim EberleAbstract: When data is transmitted via satellite, or when you use a CD, errors can occur in the process of getting the data to you. When it is important that the data is correct, an error correction code must be embedded in the data. One of the popular means of encoding and decoding is "Convolutional Error Correcting Codes". These codes will be discussed in how data can be encoded and decoded, and how these codes are used.

Math Graduate Student Presentations

Spring Semester 2011

DateSpeakerTitle / Abstract
April 28, 2011Markus TyboroskiAn overview of the finite element method
April 28, 2011Richard NeelyThe Statistics Behind Cancer

Math Graduate Student Presentations

Spring Semester 2010

DateSpeakerTitle / Abstract
May 5, 2010Jennifer HolmesBrownian Motion and the Counterintuitive Aspects of Arcsine Law
May 5, 2010McKenna RobertsEvaluation of parameter effects in estimating non-linear uncertainty propagation

Math Graduate Student Presentations

Fall Semester 2009

DateSpeakerTitle / Abstract
Nov 13, 2009Steve HartmanProperties of the Hyperbolic Area Function

Math Graduate Student Presentations

Spring Semester 2009

DateSpeakerTitle / Abstract
April 23, 2009Matt GerholdtModeling the Chaotic Waterwheel
April 23, 2009Merida BassImaginary Numbers: A History
April 23, 2009Joseph MontgomeryMoving Frames In Differential Geometry
May 5, 2009Robyn MacivorUsing Fractals to Study the Structure of Trees
May 5, 2009Jason OcvirkStochastic Processes with Sports Standings
June 16, 2009Jeremy RiehlElliptical Geometry: A Closer Look

Math Graduate Student Presentations

Spring Semester 2008

DateSpeakerTitle / Abstract
April 24, 2008Brian WhiteAn introduction to the field of game theory, focusing on two person, zero-sum games with a short proof of von Neumann's Minimax Theorem
April 24, 2008Mihalo PopovicTopology of Pointwise Convergence of Sequences of Real Functions. (An example of non-metrizable topology)
April 24, 2008Jeff MarshThe Kuramoto Model
May 2, 2008Dustin KeckThe “Art” of Algebraic Groups and Tessellations

Math Graduate Student Presentations

Summer Semester 2007

DateSpeakerTitle / Abstract
July 2, 2007Dustin SchmidtEffects of Selection on Information Entropy in a Weasel Program

Math Graduate Student Presentations

Spring Semester 2007

DateSpeakerTitle / Abstract
April 24, 2007Travis SperoMacroscopic Traffic Modeling
April 19th, 2007Eric SullivanMathematics on the Rocks
May 1, 2007Shane PassonMethods of Control
 
Feedback