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 M_{n}(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 12:30pm1:00pm 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 settheoretic foundation of mathematical induction
ABSTRACT: We will use GodelBernays 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 ReedMuller 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 ReedMuller 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 K_{0 Groups of the Leavitt Path Algebras of some Cayley Graphs} 
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 graphtheoretic 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 NavierStokes 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 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, zerosum 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 nonmetrizable 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 
Graduate Presentation Evaluation
