Mathematics

Seniors: typesetting help, including the thesis template.

Past Theses

2012

Skye Aaron
Exact Solutions And L² Differentiability

Michael Bedford
Set Theory, The Continuum Hypothesis, And The Axiom Of Choice

Matthew M. Carlson
Euclidian Embedding of Network Location Data: Design and Use

Ethan K. Edwards
A (Slightly) More General Quantum Algorithm For the Multiplication of Group Elements

Jay Harman
Two Algorithms And A Miracle

Seth Just
Functions On The Line

Ivan A. Malison
Graph Algorithms On Graphical Processing Units : The Shortest Path Problem

Noah C. C. Pfister
Vermont Rainfall Data And Extreme Value Statistics

Ryan Wall
A Safari Through Algebraic Geometry

Louis E. Webb
Poincare's Theorem And Tessellations Of The Hyperbolic Plane

2011

Gavin Bell
Associated Primes Of A Modified Mayr-Meyer Ideal With N=1

Daniel R. Copeland
Quantum State Discrimination And Concept Learning

Reneé G. Dosick
Infinite Tessellations : A Proof And Applications Of The Extension Theorem

Laura Florescu
New Connections Between The Abelian Sandpile Model And Domino Tilings

Michael Samuel Gottesman
A Category Theoretic Introduction To Differential Geometry

Sei Mei Aastra Howe
A Derivation Of The Inhomogeneous Lorentz Group From Invariant Null Intervals

David Krueger
Extending The Critical Group To Oriented Matroids And Simplicial Complexes

Isaac Lawrence
Techniques For Space-Efficient Text-Indexing

Daniel C. Lidral-Porter
On Parallel Sorting And An Implementation Of Difference Cover Suffix Array Construction

Sarah MacQueen
Origami : A Mathematical System Of Paperfolding

David Lynn Nielsen
A Problem Zarankiewicz

Julia Porcino
An Analysis Of Permanental Ideals Over Hypermatrices

Siddharth S. Raval
Quantum Algorithms For A Few Problems

Nicholas K. Salter
A Fourier-Analytic Approach To Polytope Euler-Maclaurin Summation

Caleb Tillman
An Application Of Representation Theory To The Study Of Random Walks On Groups

Gaurav Gokaran Venkataraman
Volterra Integral Equation Methods For Theoretical Neuroscience

Tianyuan Xu
Graph Partitions And Free Resolutions Of Toppling Ideals

2010

Noah Davidson
Musical Sequences And Dominating Empires : A Study In Aperiodic Tilings

Raphael Deem
Algebraic Error Correction

Hannah Fouasnon
A Colorful Clustering : A Structural Analysis Of Hartigan's Modal Method For Block Clustering

Nicholas Insalata
A Mosaic Approach To Virtual Reality

Tian Jiang
Stability In Chip-Firing Games

M. Rose Peterman
Balanced Incomplete Block Designs

Erica Hilary Shannon
The Connection Between Dimer Covers And Sandpile Groups

Homer Strong
Uniform Connected Subgraph Sampling

R. Seth Terashima
Message Routing In Random Graphs : Lattice And Ring Models For Peer-To-Peer And Social Networks

Yannik Van Huele
Mathematical Quasicrystals As Generalized Classical Crystals

Laura White-Avian
Falling Out Of Attraction Through An Infinite Cascade Of Period Doubling Bifurcations

John Wilmes
Algebraic Invariants Of Sandpile Graphs

Andrew S Winterman
Statistical Tests Of Equivalence

Godwin Yung
An Algorithm For The Calibration Of FTMS Signals To Improve Peptide Identification

2009

Regina Collecchia
The Entropy Of Musical Classification

Christopher Cotter
Permanental Ideals

Benjamin Fischer
Funny Ways To Count Dots : Relating The Discrete And Continuous Volumes Of Rational Polyhedra

Cooper Francis
Model-Checking Concurrent Systems

Maxwell Hallock
The Tutte Polynomial And The Critical Configuration Polynomial On Acyclic Digraphs

Bryan Head
An Abstraction Of Evolution Through Algebra

Joshua Hoak
Mathematical Games

Joshua O'Rourke
Frobenius Numbers Of Consecutive Squares

Jacob Perlman
Sandpiles : A Bridge Between Graphs And Toric Ideals

William Rosenbaum
Analysis On Circles : A Modern View Of Fourier Series

Clara Siegel
Radiocarbon Dating Of Mount Baker Lahars : Implications For Volcanic Hazard Assessment

Nayram Tay-Agbozo
An Investigation Into Image Segmentation Using Graph Cuts

Cordelia Wylde-LaRue
Trigonometry In The Hyperbolic Plane

2008

Eric Brattain-Morrin
Entropy, computation, and demons

Devin Chalmers
The computable world

Jeffrey Samuel Sebastian Weinmann Cruse
Riemann Roch on directed graphs

Jessica Gill
Monomial ideals

Jeremy J. Harper
Projection-valued measures and the need for quantum observables to be self-adjoint

William Henderson
Distributed and mobile systems in the ?-calculus

William R. Henner
Ukkonen's linear time suffix trees

Karim Lakhani
An introduction to multiresolution analysis and the discrete wavelet transform

Julia F. Lazenby
Circulant graphs and their spectra

Steven M. McClellan Jr.
A computational investigation of Kubota conductors

Peter McCulloch
The Ito calculus and option pricing

Tracy L. Mehoke
The book of shadows : enumeration of cubick curves

James E. Nye
Braid group cryptography

Sara Caitlin O'Connor
A new derivation for the formulae for counting elliptic points

Rebecca Schoenberg-Jones
Constructing a sandpile machine

Griffen R. Thoma
A survey of results related to the study of magic squares

2007

Samuel J. Billheimer
Perihelic motion in orbits about axis-symmetric ellipsoids

Matthew Strom Borman
The ranks of a tropical matrix

Diego I. Calderón
Representation theory of finite groups with applications

Vanessa Elaine Holfeltz
A lie theoretic approach to robot kinematics

An-Seok Joo
Categorical ideas as expressed in the programming language charit

Julia M. Keller
Quantifying entanglement

Anaiah E. Krueger
A brief history of distribution theory

Alice Emily Neels
Quantum learning and Reed-Muller codes

Keon H. Parandvash
Arbitrage in Hilbert space