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## Past Theses

### 2016

**Nathan Duncan**

Heart of Zero-Knowledge

**Jean Munyo Frey-Edwards**

M-matrices and Chip-Firing

**Joshua Gancher**

Fully Homomorphic Encryption

**Gregory Alex Ledger**

Implementing Component-Based Garbled Circuits

**Simran Mahtani**

Network Analysis with Focus on Centrality

**Emma Miller**

A Quantum Walk on the Heisenberg Group

**Alexandra Salem**

Explanation and Simulation of the HHL Algorithm

**Riley Thornton**

Some Problems are Hard: Borel Complexity and C*-algebras

**Reilly Villanueva**

Analyzing Radiocarbon Data with Temporal Order Constraints

**Qiaoyu Yang**

Split Reactive Brownian Dynamics

**Barney Potter** (Mathematics-Biology)

Modeling Cell Signaling Networks with Prize-Collecting Subhypernetworks

**Sarah Brauner** (Mathematics-Economics)

A New Order of Things: The Structure of Partial Orders in the Face of Lower Bounds

**Alexis Saul Chasin** (Mathematics-Economics)

Auctions Speak Louder than Words: Application of Alternate Auction Criteria to Dynamic Tax Investment

**Julia Welling Hofmann** (Mathematics-Economics)

H2 Uh-Oh: A game-theoretic analysis of water quality trading

**Taylor Holdaway** (Mathematics-Economics)

The Effects of Drought on Non-Agricultural Output in the United States

**Vladislav Mankov** (Mathematics-Economics)

Distributional Implications of a Vehicle Miles Traveled Tax

**Ahyan Panjwani** (Mathematics-Economics)

Estimating the Impact of Commodity Market Shocks on Real Business Cycles Using Bayesian Methods

**Dean K. Young** (Mathematics-Economics)

Myopic Loss Aversion in Investment Behavior

**Timoteo Delgado-Esbenshade** (Mathematics-Physics)

Bound Orbits in Classical Electrodynamics

**William Holdhusen** (Mathematics-Physics)

First Quantization of the Radiation Reaction Force

**Joseph Joe** (Mathematics-Physics)

256 Shades of Grey: Topological Analysis of the Gray-Scott Model Using Persistence Landscapes

**Charles McIntyre** (Mathematics-Physics)

Computing the Band Structure of InSb and CdTe Quantum Dots

**Jeremy Cosel** (Mathematics with a concentration in Computer Science)

Clean Up After Yourself: Implementing Garbage Collection

**Joshua Hepworth** (Mathematics with a concentration in Computer Science)

The States of Splendor: Searching Game Trees with Partial Information

**Isabella Jorissen** (Mathematics with a concentration in Computer Science)

Tiling the Heavens In special cases where 'the Heavens' is ℝ2

**Liam Bowcock** (Mathematics with a concentration in Statistics)

Aggregating Over Ordinal Scales Using the Sugeno Integral

**Will Jones** (Mathematics with a concentration in Statistics)

Multilevel Models and Missing Data Models for Crowdsourced Bicycle Route Ratings

**Philip Stallworth** (Mathematics with a concentration in Statistics)

A Cluster Model for K-Tree Samplings of a Spatial Point Process

### 2015

**Andrew Blount**

Sequential Model-Based Optimization of Expensive Blackbox Functions –or- *How to Do Well When You Don’t Know What You’re Doing*

**Madeline Brandt**

Intersecting Hypergraphs and Decompositions of Complete Uniform Hypergraphs

**Amah Orphelia Ellogne **(Mathematics-Economics)

The effect of rainfall shocks on intimate partner violence against women

**Susannah Glickman**

The Character of an Optimal Query: An examination of queries in the dihedral hidden subgroup Problem

**Galen Harrison**

Differentially Private Statistics: Implementation and performance of PTR and objective perturbation methods.

**Justin Katz**

Eigenfunction decompositions of function spaces on various physical domains

**Damon Melton**

Jordan Canonical Forms of Commuting Nilpotent Matrices

**Jacob Menick**

The Discrete Wavelet Transform and Applications to Data Compression

**Carl Proepper **(Mathematics-Physics)

Generalized Statistical Techniques for Differentiating Dark Matter Models at the Large Hadron Collider

**Robert Rennie**

Toward a Minimal Finite for the Real Projective Plane

**Zachary Stout**

Lobachevsky, Poincaré, and Hyperbolic Geometry

### 2014

**Brett T. Beutell**

To Bayes or not to Bayes : Markov chain Monte Carlo for approximation of the posterior distribution of Bayesian networks

**Max L. Carpenter**

Quasicrystalline combs in De Bruijn's generalized function space

**Max F. Del Giudice**

A simple case of the Siegel-Weil formula

**Emma J. Furth**

Hamiltonian cycle algorithms for square and triangular grid graphs

**Jedediah B. Grabman**

Two player zero-sum games

**Blake David Hall**

Classifying the hundred acre wood

**Tessa Hoppenfeld**

The structure of the Jacobian group of a graph

**Austin W. Humphrey**

Volume of SLn(Z)\SLn(R)

**Mason Kennedy**

Representation theory and the spherical Laplacian

**Thomas J. LaMarre**

Massively parallel computation with graphics processing units

**Laura Lyman**

Principal series of GL(2) over a finite field

**Galen O'Sullivan**

Counting on simplicial complexes

**Yotam Reshef**

Formalization and mathematical rigour

**Andrew J. Roetker**

The state of process calculi and concurrency

**Elijah Van Wing**

Present value under non-constant models of interest

**Christopher Vittal**

Non-unique factorization in rings of integer-valued polynomials

**Mark Walth**

Manifolds and maps : an introduction to cobordism

**Andrew Warren**

Nonstandard analysis is sometimes useful : several applications

**Sofia D. Wright**

Generating the superstable configurations of a graph via its acyclic orientations

### 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