| Here is a list of some of the previous
undergraduate research done by our students. Abstracts for
talks on the more recent topics can be found
here. Spring 2007
-
Bobby Grizzard, What Does Sperner's Lemma Tell Us about Positive Matrices?
Supervisor: Dr. Michael Saclolo
-
Will Jaramillo, The Security of the RSA Cryptosystem
Supervisor: Dr. Michael Engquist
-
Andrew Beck, Much Ado about Nothing - Zeroes of Nth Partial Sums of
the Complex Exponential Series Supervisor: Dr. Jean McKemie
-
Steven Ayala, Nice/Decent Polynomials
Supervisor: Dr. Edward Early
-
Erica Miller, Carry Group Structure
Supervisor: Dr. Jean McKemie
-
Daliah Maurer, Mathematical Analysis of HIV
Supervisor: Dr. Michael Saclolo
-
Jesse Barbour, A Generalization of Several Continued Fraction Forms
Supervisor: Dr. Jean McKemie
-
Omar Mohamed, Tiling Squares using Two Types of Tiles
Supervisor: Dr. Michael Engquist
Spring 2006
-
Stephanie Anderson, Brunnian Links and Exotic Solutions to the Mu
Transposase System Supervisor: Dr. Cynthia Verjovsky Marcotte
-
Michael Johnston, The Knight's Tour Problem
Supervisor: Dr. Michael Engquist
-
Fred Deutsch, Optimization with Origamics: Working with Chessboards
Supervisor : Dr. Michael Engquist
-
Camille Broadus, Figures of Constant Width on a Chessboard
Supervisor: Dr. Jean McKemie
-
William Beard, Explorations on a Radon Relative
Supervisor: Dr. Michael Engquist
-
Lindsey Heye, Perfect Precise Colorings of the Poincar Disk
Supervisor: Dr. Cynthia Verjovsky Marcotte
-
Joshua Cutshall, Bernoulli's Arc Length Transformations
Supervisor: Dr. Jean McKemie
-
Heather Bruch, When Differential Equations get Fishy
Supervisor: David Naples
Spring, 2005
- Munabo Lwali, Largest Unit Octagon
Supervisor: Dr. Michael Saclolo
- Leela Madan, DNA Chirality: A Mathematical aned
C omputational Study
Supervisor: Dr. Cynthia Verjovsky Marcotte
- Emanuel Mahanger, Public-Key Cryptography and the
B-Algorithm
Supervisor: Dr. Michael Engquist
- Sarah Mall, The DNA Inequality for a Non-Convex
Cell
Supervisor: Dr. Cynthia Verjovsky Marcotte
- Ryan Poplawski, Optimization Problems Involving
a Circle and Three Squares
Supervisor: Dr. Michael Engquist
- Jamie Shackelford, Maximization of a Square Covered
by n Equilateral Triangles
Supervisor: Dr.Michael Engquist
- Dung Tran, Sums of Powers of Integers
Supervisor : Dr. Michael Saclolo
Spring, 2004
- Mary H. Avery, Reconstructing Convex Polyhedra
from a Single Directed X-ray.
Supervisor: David J. Naples
- Katie Ann Baldwin, Applying Discrete Fair Division
Methods to Land Division
Supervisor: Dr. Cynthia Verjovsky Marcotte
- Andrew R. Cabezas, The Search for a Perfect
Rational Cuboid: An Algebro-Geometric Approach
Supervisor: Dr. Michael Saclolo
- Greg Kerouac, Integrating Spatial GIS Data with
an ODE Metapopulation Model
Supervisor: David J. Naples
- Russell D. Mowry, Generalized Fibonacci Sequences
Mod 10n
Supervisor: Dr. Cynthia Verjovsky Marcotte
- Stacey A. Worrell, Modeling Plane Curves using
Bezier Splines
Supervisor: Dr.Michael Saclolo
Spring, 2003
- Christopher Barker, Predicting Ground-Level Ozone in Austin
Supervisor: Dr. Cynthia Y Naples
- Chris Clabes, Magic Squares and Cubes
Supervisor: Br. Joseph Heisler, CSC
- Francisco Escareno, Apollonius Property versus
Spherical Maps and Their Relation to Mobius Transformations
Supervisor: Dr. Jean McKemie
- Joshua Godwin, A Prediction Model for Baseball Salaries
Supervisor: Dr. Cynthia Y Naples
- Ruth Haberman, Exploration of the Dynamics
of One-Dimensional Two-Parameter Maps Using Curves
Supervisor: Dr. Jean McKemie
- Jonathan Heacock, Irreducible Genus 3 Heegaard Diagrams of Lens Spaces
Supervisor: Dr. Cynthia Verjovsky Marcotte
- Refugia Lehn, Kolam Figures and Their Relationships to Recursion Formulas and Fractals
Supervisor: Dr. Cynthia Verjovsky Marcotte
- Jonathan Lucke, Spherical Maps Defined on Subsets of Euclidean p-Space
Supervisor: Dr. Jean McKemie
Spring, 2002
- Audri Brisson, Midsets and Medial Axes
Supervisor: Dr. Jean McKemie
- Jefferey R. Goodwin, The Collatz Conjecture
Supervisor: Dr. Jean McKemie
- Matt Byrd, Metric Preserving Functions
Supervisor: Dr. Jean McKemie
Spring, 2001
- Christopher Noonan, The Fibonacci Sequence Over
Finite Groups
Supervisor: Dr. Jean McKemie
- Thomas Olson, A Study of Shadows Cast by Two
Dimensional and Three Dimensional Cross Products of
Cantor Sets.
Supervisor: Dr. Jean McKemie
Spring 2000
- Matthew Shirley, Self-Avoiding Random Walks
Supervisor: Dr. Jean McKemie
Spring, 1999
- Michael Dean, Fibonacci Series Modulo n
Supervisor: Dr. Jean McKemie
- Daniel Ramirez, Multivariable Polynomials with
Non-degenerate Critical Points
Supervisor: Dr. Jean McKemie
- Micheal Valescu, A Minimization Problem Connected
with a Generalized Jensen's Equation
Supervisor: Dr. Jean McKemie
Spring, 1998
- Heather Lynnette Arnold, Functions that Satisfy
Functional Equations
Supervisor: Dr. Jean McKemie
- Ramon Duran, An Interesting Look at the Brachistochrone
Problem
Supervisor: Br. Louis Coe
- Maria E. Torres, Functions Whose Successive Tangent
Lines Enclose Proportional Areas
Supervisor: Dr. Jean McKemie
Spring, 1997
- Rebecca Mantsch, Mortality for Sets of 2x2 Matrices
Supervisor: David Naples
- Victoria Ortega, Using Self Similarity to find
Length, Area and Dimension
Supervisor: David Naples
- Ana Rivera, A Nonlinear Recurrence Yielding
Binary Digits
Supervisor: Dr. Cynthia Naples
- Boris Yazlovitsky, Fractal Dimension
Supervisor: David Naples
Spring, 1996
- Jill Bailey, What new centers can be derived
from Morley's triangle?
Supervisor: Stephanie Fitch
- Robin Boehnemann, Circle Packing in Geometric
Figures
Supervisor: Stephanie Fitch
- Ming Chen Chien, A Nonlinear Recurrence Yielding
Binary Digits
Supervisor: Cynthia Naples
- Pablo Cortez, Rational Periodic Points of the
Quadratic Function Qc(x) = x^2 +c
Supervisor: David Naples
- Edvardo Cue, Principles of Number Theory
Supervisor: Br. Louis Coe
- Juan Diego Gonzales, Nonlinear Recurrence Formulas
Yielding Binary Digits
Supervisor: Cynthia Naples
- Chiu-Wei Ko, Differential Equations of Heat
Conduction
Supervisor: Stephanie Fitch
- Gwyn Waterfield, The Chaotic Mapping Xn+1 =(1+ë)Xn
mod1 and Its Probability Distribution
Supervisor: David Naples
Spring, 1995
- Charnae Jordan, Critical Points and the Index
of Real Polynomials in Two Variables
Supervisor: Jean McKemie
- Brenda J. Kolas, Degenerate and Nondegenerate
Critical Points of Multivariable Polynomials
Supervisor: Jean McKemie
- Jorge Trevino, What is Behind Random Dot Stereograms?
Supervisor: David Naples
- Maribel Martinez, Knots and DNA
Supervisor: Dr. Jean McKemie
- Eva Rostro, The Fibonacci Sequence and Its
Applications
Supervisor: Br. Louis Coe
- Jennifer Wells, A Comparison of the Mathematical
Models of Running
Supervisor: Dr. Jean McKemie
|
