Past Honors Theses

Note that a copy of each student's honors thesis is deposited in the library.  Many of these honors theses are also available in W&L's digital library.

2024

  • Hart, Duncan
    • An Exploration of Diophantine Equations. Advisor: Michael Bush.

2019

  • Chu, Hung Viet.
    • The Lambda Property and Isometries for Higher Order Schreier Spaces.  Advisor: Kevin Beanland.
  • Gold, Max.
    • Algorithmic approaches to constructing Sierpiński and Riesel Numbers.  Advisor: Carrie Finch-Smith (Mathematics) and Simon Levy (Computer Science).

2016

  • Holt, Michael W.
    • Exploring Extreme Points and Related Properties of Tsirelson Space.  Advisor: Kevin Beanland.
  • Kiser, Matthew R.
    • Up-growing On-line Linear Discrepancy of Triple-optimal Partially Ordered Sets.  Advisor: Mitchel T. Keller.
  • Sears, Lewis N.
    • Realizablity of n-Vertex Graphs with Prescribed Vertex Connectivity, Edge Connectivity, Minimum Degree, and Maximum Degree.  Advisor: Wayne Dymacek.

2015

  • Bethea, Candace
    • Realizablity of n-Vertex Graphs with Prescribed Vertex Connectivity, Edge Connectivity, Minimum Degree, and Maximum Degree.  Advisor: Wayne Dymacek.
  • Ekenta, Onyebuchi
    • Permutation Formulas.  Advisor: Wayne Dymacek.
  • Quijada, Danjoseph  
    • Periods of Linearly Recurring Sequences.  Advisor: Michael Bush.

2014

  • Hardnett, Alyssa P.
    • Realizablity of n-Vertex Graphs with Prescribed Vertex Connectivity, Edge Connectivity, Minimum Degree, and Maximum Degree.  Advisor: Wayne Dymacek.
  • Tu, Wenda
    • Finding Cycles In The Kth Power Diagraphs Over Integers Modulo A Prime And Over Gaussian Integers Modulo a Gaussian Prime.  Advisor: Greg Dresden.

2011

  • Li, Lu
    • Superdense coding with partially entangled quantum particles.
  • Parsons, Kyle Jacob
    • Arithmetic progressions in permutations.  Advisor: Wayne Dymacek.
  • Shang, Wenling
    • Hermitian weighted composition operators on weighted Hardy spaces.

2010

  • Davis, Josiah William
    • Steinhaus graphs and pendent vertices.  Advisor: Wayne Dymacek.

2009

  • Lambert, Isaac Edward
    • Arithmetic progressions in permutations.  Advisor: Wayne Dymacek.

2008

  • George, Kathryn Lynwood 
    • The shellability of simplices.   Advisor: Wayne Dymacek.
  • Graber, Philip Jameson 
    • Rotation remainders.  Advisor: Jacob Siehler.
  • Steiner, Louis Joseph 
    • Realizability of p-vertex graphs with prescribed vertex-connectivity, edge-connectivity, minimum degree, and maximum degree.  Advisor: Wayne Dymacek.

2006

  • Twentyman, Elizabeth Lyell
    • Finding Factors of Factor Rings over the Eisenstein-Jacobian Integers.  Advisor: Greg Dresden.

2005

  • Irby, Edward Claiborne
    • The calculation of a weak quantum orbit.  Advisor: Brenan Weickert.
  • Shelton, James Denman
    • First-return limits for functions of more than one variable.  Advisor: Michael J. Evans.

2004

  • Browder, Jonathan David
    • Compressions of linear operators yielding a single point numerical range.  Advisor: Paul S. Bourdon.

2003

  • Spofford, Christina
    • Norms of composition operators on the Hardy space.  Advisor: Paul S. Bourdon.
  • Fry, Erin Elizabeth
    • Compressing operators to obtain a single-point numerical ranges.  Advisor: Paul S. Bourdon.
  • Townsend, Elizabeth Patricia
    • Root quantum numbers over Hilbertian fields.  Advisors: Greg Dresden, Wayne Dymacek.

2002

  • Clement, Meagan Elizabeth
    • Which will survive?: an investigation into the modeling of complex ecosystems.

2000

  • Emilie Wiesner,
    • Backward minimal points for bounded linear operators on Hilbert spaces.

1997

  • Matney, Angela Renee. 
    • The Nevanlinna counting function, Littlewood's inequality, and applications.   Advisor: Paul S. Bourdon.

1995

  • Koerlin, Matthew Mark
    • A New Characterization for bipartite Steinhaus graphs Steinhaus Graphs.  Advisor: Wayne Dymacek.
  • Yanulavich, Jennifer Ann
    • Disconnected Steinhaus Graphs.  Advisor: Wayne Dymacek.

1994

  • Appel, Matthew Joseph
  • Wynne, Colin James
    • A Presentation and Classification up to isomorphism of classical compact Lie matrix groups.  Advisor: Timothy A. Murdoch

1993

  • Hartman, Lauren Danielle
    • Differential Hyperbolic Geometry.  Advisor: Timothy A. Murdoch.
  • Vinyard, Christopher Evans
    • The Weierstrass Representation of minimal surfaces in R3.  Advisor Timothy A. Murdoch.

1991

  • Bennett, David Sanders
    • Chaos and Linearity.
  • Bettendorf, Daniel Minor Redd
  • Pearce, Harry Todd
    • Two representations and an application to quantum computing.  Advisors: Henry Sharp (math), H. Thomas Williams (physics).

1990

  • Kelley, Mary Jeannette
    • Complete spaces and Baire's Theorem.

Before 1990

This is a partial list.

  • Aarstol, Michael P., 1989
    • Chaos and the dynamics of quadratic mappings.  Advisor: Wayne Dymacek.
  • Boller, John, 1989
    • Rado's selection principle: equivalences and application.  Advisor: Henry Sharp.
  • Deighan, John W., 1989
    • Julia Sets: an introduction to chaos in the plane.  Advisor: Wayne Dymacek(?)
  • Russell, Gregory Drew, 1988 
    • Sums of squares: an introduction to the arithmetic of quadratic fields.  Advisor: Leslie Jane Federer.
  • Straub, Steven, 1988.
    • "Oh my God!! I need my calculator" Calculus reform and Math 101X through the eyes of a teaching assistant at Washington and Lee University.  Advisor: Michael J. Evans.
  • Berghel, William Wesley, 1983
    • Prover: an elementary theorem proving program.
  • Robert C. Rogers, 1980/1981?
    • An Explicit formulation for the harmonic modes of an n-particle discrete vibrating string.