## Thesis

As a capstone project, every graduate of Reed College completes a thesis in their senior year. Here seniors can find instructions and resources for completing a mathematical thesis. Anyone can also find a list of thesis projects from Math & Stats from the last couple of decades. Jump to past thesis projects.

### Current Thesis Instructions and Resources

Math-Stats Thesis Schedule

A list of department-specific assignments, due dates, and submission links for the thesis year.

Senior Handbook** **College-wide schedules, degree requirements, resources for your thesis year, and resources for life beyond Reed—an important read as you start your year!

**Help with writing and research**Library’s guide to thesis and resources

LaTeX at Reed

Typesetting help, including the thesis template.

MathSciNet (*on campus only*)

An important resource for mathematical literature searches

### Past Thesis Projects

#### 2022-23

**Zach Barbanell** (Computer Science-Mathematics)

Optimizing Gadgets for Fully Homomorphic Encryption

**Scott Blair** (Mathematics)

A Taste of Differential Field Theory

**Wolfgang Brightenburg** (Mathematics with a concentration in Statistics)

On Estimating the Number of Clusters: Mind the Gap!

**Kellen Brosnahan** (Mathematics)

Representation Theory, Schur-Weyl Duality, and the Partition Algebra

**Jesse Cao** (Mathematics-Physics)

Classical Jackiw-Teitelboim Gravity: Towards Quantization

**Victor Chen** (Mathematics)

The Impact of Schools on Traffic Congestion: A Case Study in California K-12 Public Schools

**Malen Cuteric** (Mathematics with a concentration in Statistics)

MAUPing Up: An Empirical Analysis of Error Rates in Dasymetric Mapping

**Zack Dooley** (Mathematics)

A Survey of Categorification: Towards Categorical Algebra and Higher Categories

**Jacob Finkelstein** (Mathematics)

An Accessible Proof of the Prime Number Theorem

**Ilana Frey-Kim** (Computer Science-Mathematics)

Simplicial Homology Computation Using Discrete Morse Theory

**Roscoe Haynie** (Computer Science-Mathematics)

A Zero-Knowledge Proof for Norinori

**Bhavjot Khurana** (Mathematics with a concentration in Statistics)

Supervised Machine Learning to Predict Student Proficiency in Oregon Public Schools

**Hannah Kuder** (Mathematics-Physics)

The Beesis

**Anna Luce** (Mathematics)

The CW Decomposition of the Grassmannian Manifold

**Oliver Mansbach** (Mathematics)

Persisting Through The Convexity: Convex Modules for the Commutative

**Olivia McGough** (Mathematics)

Persistent Homology and Applications to Graph Data

**Keith Ng** (Computer Science-Mathematics)

Building To The Third Story: An AI To Play Santorini

**Sean O'Donnell** (Mathematics)

Primes in Extensions and Expressions via Binary Quadratic Forms

**Blaze Okonogi-Neth** (Mathematics)

An Introduction to Elliptic Curves, Modular Forms, and the Modularity Theorem

**Rayn Samson** (Mathematics-Physics)

Relativistic Ehrenfest Relations for Klein-Gordon Fields

**Sol Skinner **(Mathematics with a concentration in Statistics)

Making Sense of Making Sense of Sensitivity

**Monroe Stephenson** (Mathematics)

Kazhdan-Lusztig Polynomials of Matroids

**Josh Yamamoto** (Mathematics with a concentration in Statistics)

A Bayesian Approach to Zero-Inflation Modeling

**Larry Zeng** (Computer Science-Mathematics)

Exploring Noninterference in Programming Languages: A Study of Simple Dependency Core Calculus and Logical Relations

**Daniel Zou** (Computer Science-Mathematics)

Differentially Private Weighted Linear Regression

#### 2021-22

**Emmanuel Arthur **(Computer Science-Mathematics)

The Stable Roommates Problem With Globally-Ranked Pairs

**Alice Barker** (Mathematics)

Representations of sl2(C) and Connection to Temperley-Lieb Diagrams

**Cruz Barnum** (Computer Science-Mathematics)

Indistinguishability Obfuscation From the Ground Up

**Erik Beserra** (Mathematics)

Khovanov Homology: Putting Pants on Knots

**Ian Cates-Doglio** (Mathematics with a concentration in Statistics)

Snow Avalanche Predictions by Ensemble Modeling

**Harry Chen** (Mathematics)

Metric Balls and Infinitely Degenerate Elliptic PDEs

**Peter Chen** (Mathematics)

Mask, Vaccine and Covid

**Tyler Dunaisky** (Mathematics)

Dynamics of Quadratic Rational Maps with Maximal Automorphism Group

**Rylie Foster** (Computer Science-Mathematics)

An Introduction to Data-Driven Modal Analysis

**Catherine Gong** (Mathematics)

Group Actions in Music Theory

**Evan Griggs** (Mathematics)

Cyclic Cones & Non-singular Refinements of Cyclic Fans

**Alex Hsu** (Mathematics)

A Gentle Introduction to Homotopy Type Theory

**Thomas Kelleher** (Mathematics)

An Operad-Theoretic Exploration of the Coherence Theorem for Monoidal Categories

**Josh Klein Valente** (Computer Science-Mathematics)

An Introduction to Elliptic Curves and Applications in Cryptography

**Tunç Başar Köse** (Computer Science-Mathematics)

Approximate Message Passing for Principal Component Analysis: Theory and Practice

**Jay Kruer** (Computer Science-Mathematics)

The Way of Glue: An Invitation to the Categorical Semantics of Lambda Calculi

**Sarah Kumar** (Mathematics)

Understanding Lie Algebras : An Alternate Perspective on Weyl's Theorem

**Harpeth Lee** (Mathematics with a concentration in Statistics)

A Comparison of Data-Driven Partial Least Squares to Existing Partial Least Squares Models

**Henry Lindeman** (Computer Science-Mathematics)

Normal Attention : A Novel Self-Attention Linearization Strategy for Abstractive Summarization of Long Documents

**Daniel McFadden** (Mathematics-Physics)

Star Formation Quenching in Centaurus A

**Paul Nguyen** (Mathematics with a concentration in Statistics)

Inference for Random Forests

**Jasmine Peng** (Mathematics-Economics)

Foreign Direct Investment and Earnings in China

**Elizabeth Prestegaard** (Mathematics)

The Lattice of Alexandrov Topologies

**Evan Pugh** (Mathematics with a concentration in Statistics)

Analyzing the Impact of Vaccinations, Government Policy and Other Factors on the COVID-19 Pandemic

**Holden Saberhagen** (Mathematics-Physics)

Modeling the Integer Quantum Hall Effect

**Daksh Shami** (Computer Science-Mathematics)

Exploration of the Hidden Subgroup Problem

**Jakob Shimer** (Computer Science-Mathematics)

CNF Reduction in Weighted Model Counting

**Sharon Wang** (Mathematics)

Kasteleyn's Tiling Theorem Using Complex Weights

**George Zhao** (Mathematics)

A Construction of the Derived Category and Derived Functors

#### 2020-21

**Shisham Adhikari **(Mathematics-Economics)

Inequality in Ramsey Growth Model with Heterogeneous Rates of Return: Are rich getting higher returns on investment than poor?

**Francis Baer** (Mathematics)

Adams Spectral Sequence Computations of BP<1> cooperations at Odd Primes

**Ryen Burris** (Mathematics-Physics)

Modelling Vibration of Membranes Under Non-Uniform Tension

**Reilly Cannon** (Computer Science-Mathematics)

Differential Privacy: the Gap Statistic and the Mapper Algorithm

**Nicholas Cecil** (Mathematics)

Nets, Filters, and Convergence

**Simon Couch** (Mathematics with a concentration in Statistics)

Tidy Model Stacking with R

**Luke Doms** (Mathematics)

A Geometric Interpretation of the Coefficients of the Standard Simplex's Ehrhart Polynomial

**Evan Franchere** (Mathematics)

Trust the Cones: Computing Diagonal Cartier Algebras of Affine Toric Varieties

**Zhengyao Gu** (Computer Science-Mathematics)

Selective Prediction: Training and Evaluation Methods

**Usman Hafeez** (Mathematics)

A^1 Milnor Numbers

**Brenham Hooper** (Mathematics with a concentration in Statistics)

Classifying Types of Young Stars Using Supervised Machine Learning

**Albert Ji** (Computer Science-Mathematics)

Universal Approximation and Interpolation in Neural Networks

**Théo Lavier** (Mathematics-Physics)

A First Look at Rate Induced Tipping

**Jiarong Li** (Computer Science-Mathematics)

Complex Network Comparison using Graphlets

**Jonathan Li** (Mathematics-Economics)

Simulating Repeated Coalition Formation under Uncertainty

**Yilin Li** (Computer Science-Mathematics)

What If English Had No Spaces? Investigating the Challenges of NLP for Character-Based Languages

**Sarah Maebius** (Mathematics with a concentration in Statistics)

Statistical Learning Methods for Tree Classification using Remote Sensing Imagery

**Peter Marcus** (Mathematics)

Computing the Henselization of a Valued Field

**Kiki McBride** (Mathematics)

Klein Has Me in Stitches! (An Exploration of Mathematical Constructions of the Klein Quartic and Creation of Analogous Crochet Models)

**Alan Moore** (Mathematics with a concentration in Statistics)

Inference on Latent Structure Random Graphs: Context, Theory and Applications

**Weihang Qin** (Computer Science-Mathematics)

Raymarching Hyperbolic Geometry

**Bijay Rai** (Mathematics-Economics)

On Track: Access to Improved Road Network and Poverty Alleviation in Mid and Far Western Nepal

**William Ren** (Mathematics-Economics)

Casino Revenue and Life Quality in Macau

**Cleo Schaumann** (Mathematics)

Young Tableaux, Schur Polynomials, and Crystals

**Taylor Sedoo** (Mathematics)

Exposing Chaos: Attracting Differences

**Hrishee Shastri** (Computer Science-Mathematics)

Cutting the Chord: Interleaved and Demand Aware Skip Graphs

**Timothy Shinners** (Mathematics with a concentration in Statistics)

Modelling Mount Rainier’s Volcanic Event Sequence

**Aryeh Stahl** (Computer Science-Mathematics)

A Generalized Approach to Graph De-anonymization

**Ali Taqi** (Mathematics with a concentration in Statistics)

Spectral Statistics of Random Matrices

**Ian Wahbe** (Computer Science-Mathematics)

Improvements to the Heuristic Rural Postman Problem

**Daniel Wang** (Mathematics)

Diagrammatic Algebras to Describe the Endomorphism Algebra of $\mathfrak{gl}_n$-Modules

**Riley Waugh** (Mathematics)

Regularity Theory of Degenerate Elliptic Partial Differential Equations

**Grayson White** (Mathematics with a concentration in Statistics)

A Hierarchical Bayesian Approach to Small Area Estimation of Forest Attributes

**Olek Wojcik** (Mathematics-Economics)

Higher Education Responses to COVID-19

**Lucas Yong** (Computer Science-Mathematics)

An Exploration of Topological Quantum Computation

#### 2019-20

**Kayleigh Bangs** (Mathematics-Philosophy)

This Thesis is Indeducible: Approaches for Justifying the Consistency of Peano Arithmetic After Gödel

**Henry Blanchette **(Computer Science-Mathematics)

Purity and effect

**Naomi Boss** (Mathematics with a concentration in Statistics)

Hindsight is 2020: Evaluating a Presidential Election Forecasting Model During a Global Pandemic

**Maxine Calle** (Mathematics)

Morse theory and flow categories

**Nick Chaiyachakorn** (Mathematics)

THREE EASY PIECES IN HARMONIC ANALYSIS Singular integrals, the Hardy space H1, and boundedness results

**Lixuan Chen** (Mathematics-Economics)

Is education finally paying-off in urban China? : evidence from 1989-2015

**William Daniel** (Mathematics-Economics)

Machine learning application in credit card fraud

**Wenxin Du** (Mathematics with a concentration in Statistics)

A close look at specification curve analysis and existing applications

**Canyon Foot** (Mathematics with a concentration in Statistics)

Graphical approaches to recovering distributions under selection bias and missing data

**Iris Griffith** (Mathematics with a concentration in Statistics)

Do androids dream of electric trees? : classifying and predicting forest attributes using deep neural network models

**Collin Guo** (Mathematics with a concentration in Statistics)

Linearizing quadratic stochastic processes for metagame mixing time analysis

**Kaitlyn Hepp** (Mathematics)

Rowmotion on Doppelgänger Pairs

**Robert Irvin** (Mathematics-Economics)

Simulating the price of anarchy in auctions

**Claire Jellison** (Mathematics-Economics)

Giving by the numbers : a study of peer effects with online crowdfunding

**Zekican Kazan** (Mathematics with a concentration in Statistics)

The longest increasing subsequence as a test statistic

**Young Kim** (Mathematics)

Resolutions of Rees algebras

**Ryan Kobler** (Mathematics-Economics)

Spatial effects and environmental hedonic valuation in Portland, Oregon

**Mason Koch** (Computer Science-Mathematics)

Reinforcement learning for Pokemon AI

**Noah Koster** (Computer Science-Mathematics)

Neuronal Dynamics of the Action Potential: Spiking Behavior in the FitzHugh-Nagumo Model and others

**Ryan Neumann** (Computer Science-Mathematics)

An exploration of reinforcement learning through video games

**Shulav Neupane** (Mathematics-Economics)

Citation and collaboration behavior at the university level in agricultural sciences

**Jiajing Peng** (Mathematics-Economics)

Nonprofits as infrastructure for regional economic resilience : evidence from US metropolitan area during the great recession

**Huaying Qiu** (Mathematics with a concentration in Statistics)

Forest type classification in interior Alaska using G-LiHT data

**Kaiyan Shi** (Computer Science-Mathematics)

Investigation on 1D area law and XXZ model

**David Tamas-Parris** (Computer Science-Mathematics)

Elliptic Curves Aren't Secure? SIKE!

**Lucas Williams** (Mathematics)

How to do proof by picture and get away with it :the representation theory of quantum groups and connections to knot theory

**Livia Xu** (Mathematics)

Toppling ideals of M-matrices

**Matthew Yancheff** (Mathematics with a concentration in Statistics)

Statistical Inference on Brownian Motion with Drift

**Anton Zavorotny** (Mathematics)

Vassiliev knot invariants and the graph bialgebra of lando

#### 2018-19

**Aiman Absar** (Mathematics-Economics)

Revealing Anomalies in Behavior of Rational Agents: Applying Game Theory to Behavioral Economics

**Sean Allen** (Mathematics-Physics)

Reservoir Computing: Observing the Baker's Map

**Edwin Alvarado** (Mathematics-Economics)

Impact of Fast Fashion on Welfare in Developing Countries

**Edsel Arce** (Mathematics with a concentration in Statistics)

Klaytheism, Competition, Free Throws

**Matthew Atteberry** (Computer Science)

Reinforcement Learning: An Overview

**Miles Baker** (Computer Science)

Don't Point Yourself Into a Corner: Using Static Analysis to Prevent Memory Leaks in C

**Kyu Cho** (Mathematics)

Integer programming methods and the fleet assignment problem

**J.R. Cruise** (Mathematics-Physics)

An Exploration in Perturbation: Asymptotic Ailments to Quantum Consternation

**Zichen Cui**

An Introduction to Topological Complexity

**Theodore Dounias** (Political Science-Mathematics)

Turnout and Mail Voting in Colorado or: How I Learned to Stop Worrying and Love Voter Registration Files

**Tanmay Dubey** (Computer Science-Mathematics)

Latent Dirichlet Allocation: an Application to Computer Systems Conference Papers

**Ira Globus-Harris** (Computer Science-Mathematics)

Differentially Private One-Way Analysis of Variance

**Ethan Gordon** (Mathematics-Economics)

Tragedy of the Common (Application)s: A Mechanism-Design Approach to College Admissions in the United States

**Dylan Huff** (Computer Science)

PowerPoint Natively on the Web, a Java PPTX Extension

**Emmett Kahn** (Computer Science)

DNA Compression Using Machine Learning

**Michael Kalange** (Computer Science-Mathematics)

Embed With the Entropy: Applying Word2Vec to Lossless Text Compression

**Rhody Kaner** (Computer Science)

Gender Representation in Computer Science

**Jay Lee** (Mathematics with a concentration in Statistics)

From Interpolation to Imputation: Ballot Completion in a Ranked Choice Election

**Alexander Lloyd-Damnjanovic** (Mathematics with a concentration in Statistics)

Kronecker Sequences and Persistent Homology

**Nathaniel McFadden** (Mathematics-Physics)

Exact Solutions of Spin Chains

**Joseph Meyer** (Mathematics)

Generating free verse poetry with transformer networks

**Alexander Moore** (Mathematics with a concentration in Statistics)

Mean Estimation via Neural Network Methods in Complex Survey Imputation

**Ananthan Nambiar** (Computer Science)

Computing the Language of Life

**Nicole Niesen**

Quadratic and Biquadratic Reciprocity

**Caroline Padula**

Surprising Facts About the Thue-Morse Sequence

**Asher Payton** (Mathematics-Physics)

A simple bound state

**Richard Pham** (Computer Science-Mathematics)

Graph reconfiguration in the context of permutation routing

**Pallavi Prakash**

Rational Periodic Points of Quadratic Maps: An Exploration Through Rational Parameterizations of the Dynatomic Polynomials

**Jeremy Rachels** (Mathematics)

Moduli spaces of polarized abelian varieties and the paramodular group

**Angelica Richardson** (Computer Science-Mathematics)

Composing Cellular Automata for Modeling n-Component Reaction Diffusion Systems

**Miranda Rintoul** (Mathematics with a concentration in Statistics)

Multinomial Logistic Regression for Natural Language Processing

**Alec Stashevsky** (Mathematics-Economics)

Domestic Remittance in China: Rural - Urban Migration's Train of Inequality

**Marika Swanberg** (Computer Science-Mathematics)

Noisy Quantum Oracles: A Study of Algorithmic Robustness

**Lana Tollas** (Mathematics-Economics)

Airport Capacity and Airline Delays: A Quantitative Analysis

**Torin Woods-Eliot **

The Type A Cluster Algebra and Catalan Combinatorics

**Hayden Veytia** (Mathematics)

An encyclopedia of infinitely nested square roots

**Yifan Wu** (Mathematics-Economics)

Can I Remain a Unicorn: An Analysis of the IPO Decision in Tech Industry

**Tristan Wylde-Larue**

On the Quantum Base Size of a Group

**Caroline Yearwood **

The Dual Steenrod Algebra and Graph Theory

**Jialun Zhao** (Mathematics-Physics)

The AdS3

**Ziyuan Zhong** (Mathematics with a concentration in Computer Science)

Combined Program, Columbia University

**Yevgeniya Zhukova**

Cobordism Hypothesis: Macaroni as Mathematics

**Jalan Ziyad** (Computer Science-Physics)

Quantum Search in the Face of Decoherence: Insights From Histories Approach

#### 2017-18

**Meaza Abate**(Computer Science-Mathematics)

**Revant Bagaria**(Computer Science-Mathematics)

**Langston Barrett**(Computer Science-Mathematics)

**Skye Binegar**

**Benjamin Black**(Computer Science-Mathematics)

**Zachary Campbell**

**Kealyssa Castillo-Martin**(Computer Science-Mathematics)

**Yuen Hei Kammy Chiu**(Mathematics-Economics)

**Trenton Freeman**(Computer Science)

**Alexander Grant**(Computer Science-Mathematics)

**Christopher Henn**

**Andie Hoshijo**(Computer Science)

**Palak Jain**(Computer Science-Mathematics)

**Seerat Jhajj**(Mathematics-Economics)

**Jesse Kim**

**Alisa Kwok**(Mathematics with a concentration in Computer Science)

**Boyuan Li**(Mathematics-Economics)

**Mitchell Linegar**(Mathematics-Economics)

**Sage Michaels**(Computer Science-Mathematics)

**Emily Palmer**(Mathematics with a concentration in Statistics)

**Aja Procita**(Mathematics-Physics)

**Sarah Racz**(Mathematics-Physics)

**Kaelyn Rosenberg**(Mathematics with a concentration in Statistics)

**Mark Schultz**(Computer Science-Mathematics)

**Ma_tya_s Szabo**(Mathematics-Physics)

**Emerson Hikari Webb**(Mathematics with a concentration in Statistics)

**Eric N. Whittier**

**Kevin Wong**(Mathematics with a concentration in Statistics)

**Samuel Wronoski**

**Helen Zhang**(Mathematics-Physics)

#### 2016-17

**Taylor Whitney Allen**

**Cole Charles Campton**

**Carolyn Stadden Cole**(Mathematics-Economics)

**Muldrow Doskey Etheredge**(Mathematics-Physics)

**Lucian Florin Feier**(Mathematics-Economics)

**Cameron Alexander Fish**(Mathematics with a concentration in Computer Science)

**Nicholas William Philip Franzese**(Mathematics-Biology)

**Rik Ghosh**

**Forrest Emerson Glebe**

**Anders Hahnemann**(Mathematics-Economics)

**Samuel Martin Johnston**

**Christopher Charles Keane**

**Joewie J. Koh**(Mathematics with a concentration in Computer Science)

**Alec Richard Kosik**(Mathematics with a concentration in Computer Science)

**Erik Osvaldo Lopez**(Mathematics with a concentration in Computer Science)

**Yasmina Anne Dumont Marden**

**Ian Keith Morrison**(Mathematics-Economics)

**Benjamin Christopher Altmann Morrison**(Mathematics-Physics)

**Jing Xian Ng**(Mathematics-Economics)

**Samuel David Olson**(Mathematics-Economics)

**Aurora Marguerite LaBounty Owens**

**Alexander C. Pan**(Mathematics with a concentration in Computer Science)

**Helena Elizabeth Pedrotti**(Mathematics-Economics)

**Ricardo Gabriel Rojas-Echenique**

**Edward Hutchinson Sand**(Mathematics-Economics)

**Benjamin Isaac Schloesser**

**Nicholas Edward Tydeman Solomon**(Mathematics with a concentration in Statistics)

**Diego Josue Sosa-Coba**(Mathematics-Economics)

**Nicholas Bret Terry**

**Alicia Ruth Toshima**(Mathematics-Economics)

**Vivian Tylinski**

**Sarah Jo Weinstein**

**Dylan Gunter Whitlow**

#### 2015-16

**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

#### 2014-15

**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

#### 2013-14

**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

#### 2012-13

**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

#### 2011-12

**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

#### 2010-11

**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

#### 2009-10

**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

#### 2008-09

**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

#### 2007-08

**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?

#### 2006-07

**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