UCCS Graduate Student Presentations
 SPRING SEMESTER 2016
DATE SPEAKER TITLE/ABSTRACT
April 7, 2016
12:00pm
OSB A327
Ikko Saito
TITLE: 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 A327

Katherine Cliff TITLE: An Introduction to Information Geometry equivalencementation class contains a unique possessing these ABSTRACT: Information Geometry is the application of differential geometry to probability thery. 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
FALL SEMESTER 2015
DATE
SPEAKER TITLE/ABSTRACT

September 22, 2012
12:30pm-1:00pm
ENG 239


Reece Adragna
TITLE:  Pressure and Flow Studies In The Human Cardiovascular System


SUMMER SEMESTER 2015
DATE SPEAKER TITLE/ABSTRACT

July 16, 2015

Luke Harmon TITLE:  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, 2015

Kathryn Arthur TITLE: Markov Chains

FALL SEMESTER 2013
DATE SPEAKER TITLE/ABSTRACT
December 17, 2013 Henri Ndaya Coding 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.

SPRING SEMESTER 2013
DATE
SPEAKER
TITLE
 
April 25, 2013
 
Robert Marion
Method of Multiple Scales with
an Application to Water Waves

 
April 25, 2013

Katie Hendricks
Algebraic Topology:
Fundamental Groups

 
April 25, 2013

Andrea Essler Linear Programming 
The Simplex Method

 
April 25, 2013

Gaetan Delavignette Modeling the Risk of Cancer

 
April 25, 2013

Kevin Ewing The Richardson Arms Race Model-
An Elementary Analysis and a Nonlinear Modification

 April 3, 2013

Ben Schoonmaker An Examination of the K0 Groups of the Leavitt Path Algebras of some Cayley Graphs

 

FALL SEMESTER 2012
DATE
SPEAKER
TITLE

Dec 6, 2012
 
David England
Psudospectral Methods for Optimal Control  

Dec 6, 2012

Joshua Carnahan
Nelder-Mead Method and Applications 

SPRING SEMESTER 2012
DATE
SPEAKER
TITLE

April 18, 2012

James Parmenter Graphs 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, 2012

Tracey Moreland Gravitational 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, 2012

Jim Eberle Abstract:   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.

SPRING SEMESTER 2011
DATE
SPEAKER
TITLE

April 28, 2011
Markus Tyboroski  An overview of the finite
element method

April 28, 2011

Richard Neely The Statistics Behind Cancer

 

SPRING SEMESTER 2010
DATE
SPEAKER
TITLE

May 5, 2010

Jennifer Holmes Brownian Motion and the Counterintuitive Aspects of Arcsine Law

May 5, 2010
McKenna Roberts Evaluation of parameter effects in estimating non-linear uncertainty propagation

 

FALL SEMESTER 2009
DATE
SPEAKER
TITLE

Nov 13, 2009

Steve Hartman Properties of the Hyperbolic Area Function

 

SPRING SEMESTER 2009
DATE
SPEAKER
TITLE
  April 23, 2009
Matt Gerholdt
Modeling the Chaotic Waterwheel
  April 23, 2009
Merida Bass

 April 23, 2009

Joseph Montgomery
  May 5, 2009
Robyn Macivor
  May 5, 2009
Jason Ocvirk
  June 16, 2009
Jeremy Riehl

 

SPRING SEMESTER 2008
DATE
SPEAKER
TITLE
  April 24, 2008
Brian White
An 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, 2008
Mihalo Popovic
Topology of Pointwise Convergence of Sequences of Real Functions. (An example of non-metrizable topology)
  April 24, 2008
Jeff Marsh
The Kuramoto Model
 May 2, 2008
Dustin Keck
The “Art” of Algebraic Groups and Tessellations
 
 
SUMMER SEMESTER 2007
DATE
SPEAKER
TITLE
 July 2, 2007 Dustin Schmidt Effects of Selection on Information
Entropy in a Weasel Program

 

SPRING SEMESTER 2007
DATE
SPEAKER
TITLE
 April 24, 2007 Travis Spero Macroscopic Traffic Modeling
April 19th, 2007 Eric Sullivan Mathematics on the Rocks
May 1, 2007 Shane Passon Methods of Control

 

 

Graduate Presentation Evaluation