Mathematics Department

Seniors: typesetting help, including the thesis template.

Past Theses

2013

Wyatt K. Alt
Enumeration of domino tilings on the projective grid graph

Jess Delaney
Markov chain monte carlo and the black-scholes formula

Michael J. George-Hallgren
Toward a category-theoretic construction of the adeles

Alden Jones
Time-varying risk premia and the euro : a state-space model

Michael Scott Kincaid
Is the euro optimal? : an examination of trade and cycles in Europe

Jacob S. Kopczynski
Pushy computing : complexity theory and the game abalone

Atsuya Kumano
Seeking unpredictability in deterministic systems : definitions of chaos in topological dynamics

Mikhail Lepilov
Quantum state discrimination of symmetric mixed states

Luis Edmund Maldonado
Generalizing the curry-howard isomorphism to classical logic

Andrew P. Malkin
A combinatorial game theoretic analysis of the impartial game of dots and boxes

Alex Perusse
The applications of the theory of representations in the natural sciences

Clara M. Redwood
Curving paper : a folding algorithm for origami ellipsoid patterns using curved crease couplets

Marcus P. Robinson
Critical groups of simplicial complexes

Darko Trifunovski
Computing the extreme core of siegel modular forms

Austin D. Young
The finite sums theorem : a topological approach

2012

Skye Aaron
Exact solutions and L² differentiability

Gabriel Barello
Quantum field theory and general relativistic scattering from a massive central body

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

Nadir Hajouji
The semihull theorem for Siegel modular forms

Jay Harman
Two algorithms and a miracle

Samuel F. Hopkins
The quantum hidden subgroup problem for semidirect products of cyclic groups

Seth Just
Functions on the line

Ivan A. Malison
Graph algorithms on graphical processing units : the shortest path problem

Sara Natale
The multiple spherical pendulum

Noah C. C. Pfister
Vermont rainfall data and extreme value statistics

Justin T. Stewart
Randomness as fairness

Ryan Wall
A safari through algebraic geometry

Louis E. Webb
Poincaré'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

Robert J. Kahn
War, oil, and railroads : industrialization and the building blocks of city growth in the former U.S.S.R.

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

Trey Sands
On simulating a new Keynesian dynamic stochastic general equilibrium model : replicating smets and wouters

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

Wally Jay Wissner
Characterizing doubly-special relativistic models with energy- independent metrics

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

Laurel E. Stephenson Haskins
Perturbation theory for projected states

Nicholas Insalata
A Mosaic Approach To Virtual Reality

Tian Jiang
Stability In Chip-Firing Games

Russell Alex Mayhew
Found on road dead : a macroeconomic study of the efficacy of vehicle scrappage subsidies and sales incentives

M. Rose Peterman
Balanced Incomplete Block Designs

Swaroop Poudel
Financial systemic risk : classification and measurement

Erica Hilary Shannon
The Connection Between Dimer Covers And Sandpile Groups

Homer Strong
Uniform Connected Subgraph Sampling

Justin J. Sumner
Functional determinants in the path integral formalism

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

Bryson Leigh Uhrig-Fox
One system does not fit all : a country-level study of variation in tax systems and the number of the headquarters of multinational corporations

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

Nii Amartey Amarteifio
The role of foreign direct investment : a sub-Saharan perspective

Nicholas Chandler-Klein
Predictive validity of the new SAT reasoning test

Thomas M. Chartrand
Trajectories in the hydrodynamic formulation of quantum mechanics : a computational and theoretical investigation

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

Joseph A. Hand
Creative destruction in a dynamic stochastic general equilibrium framework : evaluation through calibration and simulation

Bryan Head
An Abstraction Of Evolution Through Algebra

Joshua Hoak
Mathematical Games

David Jackson
Production effects of U.S. agricultural program payments : an empirical examination

Mallory J. Keeler
Estimating the effects of the federal estate tax on charitable behavior : evidence since EGTRRA 2001

Upasana Khadka
The effects of relief mechanisms from double taxation on foreign direct investment

Tinashe Mashungu
Structural adjustment and debt

Daniela Morar
Power laws in the stock market

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

Andrew C. Shapiro
Music industry business models in the digital millenium : an empirical analysis of streaming music and multi-product profits

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

Michael C. Allard
Anomalous diffusion, fractional calculus, and random walks

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

Juliet Hougland
Separability of the Kerr geodesic Hamilton-Jacobi equation

Andreea Jurculet
Fedspeak : the response of interest rates to FOMC communication

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

Julia F. Lazenby
Circulant graphs and their spectra

Joshua Michael Lingerfelt
Retail electrical deregulation in Texas

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

Erica C. Strachan
Determinants of microcredit success : a case study of Mercy Corps Northwest

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

Michael T. Turner
Moving ahead, looking behind : social learning in Mexico-U.S. migration

Verónica G. Vergara Larrea
Laplacian growth : how mistaken are we by calling it DLA?

2007

Timothy B. Armstrong
Federal research funding and patenting in U.S. universities

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

Matthew Strom Borman
The ranks of a tropical matrix

Heidi Elise Brooks
Orbit determination of binary stars from radial velocity measurements

Diego I. Calderón
Representation theory of finite groups with applications

Ranganai Gwati
Prediction and parameter estimation in the presence of missing data

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

David Kling
Valuing views form single-family homes in Portland, OR

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