Mathematics and Statistics Senior Theses

Senior	Advisor	Topic
Jordy Gertner	Gizem Karaali	Semiotics of graph theory: a look at diagrams
Tim Wesley	Shahriar Shahriari	Boolean lattices and the Füredi conjecture
Elena Kim	Stephan Garcia & Konrad Aguilar	Equivalence constants for generalized Frobenius norms
Ethan Ong	Vin de Silva	Clustering and spanning trees
Gabriel Udell	Stephan Garcia	Distribution of factorization lengths in numerical semigroups IV
Giovanni Ferro	Maryann Hohn	Two equations, one entropy
Marcel Alfonso Garcia	Gabe Chandler	Network graphs
Emma Godfrey	Jo Hardin	Non-parametric alternatives to propensity score estimation
Isabel (Izzy) Wiesenthal	Ami Radunskaya	Eliminating acoustic feedback in hear aids
Alexa Bayangos	Vin de Silva	Spectral graph theory: applications to music theory
Renae Tamura	Ayo Adeniran	Parking functions, trees, and search algorithms
Gigi Voss	Ami Radunskaya	Modeling subsidence due to groundwater extraction: percolation theory applications
Ivy Yuan	Maryann Hohn	Clustering algorithms: k-means and particle swarm optimization
Nate Pappalardo	Ghassan Sarkis	Characterizing brown carbon with machine learning
Brandon Tran	Gabe Chandler	Automatic smoothing for estimation of response surfaces in high dimensions
Rafael Martínez-Avial	Adolfo Rumbos	The geometry of spacetime
Sireesh Vinnakota	Edray Goins	Triangulations of non-orientable surfaces
Ethan Ashby	Jo Hardin	Extracting hitherto unseen variant signals from the cancer genome using data de-sparsification strategies
Simone Yang	Ghassan Sarkis	Modeling 3D curved surfaces in architectural modeling software
Boyuan (Jack) Chen	Ami Radunskaya	A survey on rendering functions for view synthesis
Mikaela Nishida	Edray Goins	Algebraic statistics

Senior	Advisor	Topic
Bharath Kodungudi	Edray Goins​	Group Theory of Rubik’s Polyhedra
Adam Rees	Gabriel Chandler	Gaussian Process Regression in the NBA
Michelle Li	Ghassan Sarkis	So You Think You GAN Dance: Synthetic dance video generation using deep learning
Connor Ford	Vin de Silva	Synchronized Swimming: Circular Motion with the Vicsek Model
Zakiya Jones	Shahriar Shahriari	Parking Functions
Nolan McCafferty	Jo Hardin	Style Transfer with Neural Networks
Amy Watt	Jo Hardin	The Expectation-Maximization Algorithm for RNA-Sequencing Alignment
Seena Huang	Gabriel Chandler	Audio Language Classification
Lindsey Tam	Blerta Shtylla	Biological Applications of the Kalman Filter
Danny Rosen	Vin de Silva	An Investigation of Human Knots and Links
Jordan Huard	Gizem Karaali	Algorithmically Generating Harmonic Progressions for a "New" Bebop Standard
Ben Moats​	Edray Goins	Visualizations of Hyperbolic Geometry
Rachel Yang	Shahriar Shahriari	Combinatorial Search and Vapnik–Chervonenkis Dimension
Helen Lan	Jo Hardin	Multiple Comparison Test: Controlling False Positives
Gillian Meyer	Adolfo Rumbos	Game Theoretical Models for Gun Control Policy
Desiree Koontz​	Ami Radunskaya	Statistical Models with Differential Equations
Isys Johnson	Edray Goins	Action Recognition of Highly Dynamic Videos using Time Series Classification
Huey Sun	Ghassan Sarkis	The Limits of Transfer Learning
Corina Oroz	Blerta Shtylla & CGU Clinic	Using Support Vector Machines to Predict Atomic Scale Fracture in Silica-Based Glasses
Jack Hanley​	Gabriel Chandler	Applying Multivariate Functional Principal Component Analysis to Baseball Swing Data
Preet Khowaja	Shahriar Shahriari	The Art Gallery Problem and Variations
Helen Guo	Maryann Hohn​	Diffusion on Dynamic Networks
Anil Cengiz	Adolfo Rumbos	Pattern Formation in Reaction-Diffusion Systems
Ahlbie Squire​	Stephan Garcia	The Collatz Conjecture and Other Mysteries
Colin McCalla	Edray Goins	Mastering 2D Video Games with Neural Networks
Will Abele	Gizem Karaali	Determining Causality: An Instrumental Approach
Cecelia Sanborn​	Gabriel Chandler	Finding Holes in High Dimensional Data
Gabriel da Motta	Joseph Osborn	Optimizing Graphs: Techniques for Improving Algorithmic Performance
Elise Koskelo​	Ami Radunskaya​	Stochastic Resonance of Quantized Systems
Thomas Anastos​	Weiqing Gu	Comovement: Capturing Systematic Alpha
Ezequiel Estrada	Ami Radunskaya	Math and Identity: Narratives
Dominic Mensah	Adolfo Rumbos​	Minimum Cost Spanning Tree Games: Application of Cooperative Game Theory
Riley Fang​	Vin de Silva	Improving the Sudoku Solver: Assisted Backtracking and the Unsolved Question
Nate Stringham​	Mike Izbicki​	Learning Word Embeddings for a Latin Corpus
Liam O'Shea	Stephan Garcia	The Eigenvalues of Cayley Digraphs Associated to Heisenberg Groups
Sofia Buzeti	Ami Radunskaya	Predicting Dynamic Network Core Stabilizations
Cristal Quiñones​	Shahriar Shahriari	When Ring Theory Meets Graph Theory: Zero Divisors and Their Graphs
Fernando Barceló​	Jorge Moreno	The Mass Distribution of the First Stars
Gustavo Galo​	Blerta Shtylla	Using mathematical modeling to find optimal drug combinations
Ira Norton-Westbrook	Stephan Garcia	Sets to Numbers: A Journey in Axiomatic Set Theory
Zach Senator	Jo Hardin	Random Forests and Beyond
Sophie Richards	Ami Radunskaya	Modeling Overdose Prevention Sites in Philadelphia
Bella Senturia​	Gizem Karaali	Towards a New Characterization of the Weak Order
Dillon Jacob	Adolfo Rumbos	Modeling Event Data in Association Soccer
Jasmine David	Adolfo Rumbos	Age-Structured Epidemic Models of Infectious Disease
Sarah Bashir	Vin de Silva	Classifying handwritten Arabic using machine learning
Tenny Liu	Ghassan Sarkis	Topic-based Twitter user categorization with Latent Dirichlet Allocation
Angela Tran	Adolfo Rumbos	Inefficiency of the Financial Markets during COVID-19: Estimating Hurst Exponents using Fractional Brownian Motion, Ito Calculus, and Spectral Analysis

Seniors	Advisor	Topic
Shivang Mehta	Ami Radunskaya	(Machine) Learning to Target
Vedant Vohra	Jo Hardin	Analyzing experiments: Can we determine if a new treatment benefits the many or the few?
Harry Bendekgey	Joseph Osborn	Learning Player Strategies in the Board Game Dominion
Aurora Zhang	Ghassan Sarkis	Modeling Pedestrian Flow through LAX with Simulated Queues
Eric Gofen	Gizem Karaali	(Re)humanizing Math Education
Peter Cowal	Vin de Silva/Joti Rockwell	Composing Mathematically
Dana Wang	Blerta Shtylla	Convolutional Neural Networks and Their Application in Biological Image Segmentation
Jacob Fontana	Gabe Chandler	Coupled Continuous Time Random Walks
Siddhartha Aggarwal	Ghassan Sarkis	Modelling foot traffic flow at LAX using Neural Networks
Matthew Patterson	Stephan Garcia	Constructing Conjugations by Unitary Extension
Frances Hung	Jo Hardin	Optimizing Experimental Design
Alex Xiaotong Gui	Jo Hardin	Prediction Confidence in Classification Random Forests
Matthew Reale-Hatem	Ami Radunskaya	Geostatistical Analysis of Arts Activity in Los Angeles
Gbeke Fawehinmi	Edray Goins	Mathematics in Media
Eisen Ipac	Kim Ayers	Population Dynamics and Modeling Criminal Activity
Tai Le	Mark Huber	The Sample Size Determination Problem: A Comparison of Approaches
Sophia Hui	Gizem Karaali	Leveraging Mistakes in the Math Classroom
Gianna Wu	Lisette de Pillis	Mathematical Modeling for Type 1 Diabetes
Brian Lorenz	Stephan Garcia	Bounding the Power Moments of Gaussian Periods
Kutay Nazli	Adolfo Rumbos	Closed-Form Solutions of Non-Linear PDEs: Bäcklund Transforms and Superposition
Allison Kirkegaard	Gabe Chandler	Modeling Educational Outcomes over Time
Victor Machado	Edray Goins	Finite Fields and the Discrete Log Problem
Jack Conner	Blerta Shtylla	Simulating Neuronal Networks for Prediction
Hyeong Shin	Ghassan Sarkis	Modeling Pedestrian Flow through LAX with Simulated Queues
Ricardo Espinoza	Ami Radunskaya	Modeling the Impact of Cultural Vibrancy on Societal Well-Being Factors
Oscar Galindo	William Devanny	Analyzing the Minimum Cost Perfect Matching with Delays Problem
Jose Munoz-Lopez	Stephan Garcia	Constructions for Avoiding Prime Length Arithmetic Progressions
Justin Weltz	Jo Hardin	Over-Policing and Fair Machine Learning
Yanai Feldman	Gizem Karaali	Mathematical (Fundamental)ism: Set Theory meets Category Theory
Andrew Brown	Gabe Chandler	Directional Data in Baseball
Kenneth Dennie	Stephan Garcia	Rubik's Cubes
Muhammad Chaudhry	Edray Goins	Mathematical Games on Symmetric Solids
Zihao Xu	Alexandra Papoutsaki	Eye-tracking Using Convolutional Neural Networks
Sylvia Nwakanma	Gizem Karaali	Reading with Pictures, Picturing with Words:Probabilistic Topic Modeling of Text and Image
Nina Thiebaut	HMC Clinic	Acoustics for Immersive Mixed Reality
Israel Teru	Ghassan Sarkis	Modeling Foot Traffic at LAX
Lucero Ramirez	Ami Radunskaya	Gaming the City: a game theoretic model using cultural vibrancy
Neelesh Karody	Adolfo Rumbos	Higher Order Beliefs in Coordination Games
Janie Neal	Ami Radunskaya	Community Detection in Complex Networks
Minh Quan Do	Ghassan Sarkis	Modelling Foot Traffic Flow at LAX Using Artificial Neural Network
Bradley Druzinsky	Adolfo Rumbos	The Kelly-Criterion
Melissa Hooke	Gabe Chandler	Modeling Spacecraft Safe Mode Events
Victor de Fontnouvelle	Vin de Silva	Exploring methods of high-dimensional data analysis

Seniors	Advisor	Topic
Duncan Skerrett	Omayra Ortega	Modeling Malaria: The Deterministic Approach
Peter Xenopoulos	Jo Hardin	Feature Selection for Class Imbalance
Bryce Rogan	Omayra Ortega	Learning to Fail: Predicting Brittle Fracture Evolution
Ho Bin Kim	Adolfo Rumbos	Modeling Tumor Growth in Breast Cancer Patients
Robin Pollak	Vin de Silva	Topological Models for Concurrent Programming
Adam Starr	Vin de Silva	Fair Voting
Kayla Cummings	Susan Martonosi	Operation Research to Model Government Influence on Vaccine Prices
Errol Francis	Robin Wilson	Black In Math: A Critical Analysis of the Pomona College Math Department through the Black Male Lens
Alan Peral Ortiz	Shahriar Shahriari	Locating Parks with a Multiobjective Optimization Method
Alex Hof	Shahriar Shahriari	Chain Partitions of the Boolean Lattice
Soren Aletheia-Zomlefer	Stephan Garcia	The Bateman-Horn Conjecture
Chenxiao Song	Mark Huber	Strong Stationary Stopping Time of Random Walks
Campbell Queen	Ghassan Sarkis	The Fibonacci Sequence Modulo M
Siddarth Kannan	Dagan Karp	Intersection theory on moduli spaces of weighted stable curves via tropical geometry
Adam Staplemann	Mark Huber	The CPRAR algorithm
Chris Donnay	Stephan Garcia	On the Density of Quotient Sets Generated by Binary Quadratic Forms in the p-adics
Jason Twohy	Ellie Dannenberg	Generating Sets for the Mapping Class Group Mod(S)
Derek Huang	Vin de Silva	When Number Theory Meets Combinatorics
Yu Xuan Hong	Vin de Silva	Invariant Measures on Convex Sets: On Minkowski Sums and Mixed Volumes
Yiqi Zhao	Blerta Shtylla	How Mutation Order Affects Cancer
Max Schwarzer	CGU Clinic	Learning to Fail: Predicting Fracturing in Brittle Materials with Deep Learning
Adam Hinthorne	Gabe Chandler	Missing Data in NCAA Division III Baseball
Kalyan Chadalavada	HMC Clinic	Partial Least Squares Regressions: Football Projection Model
Cade Hulse	HMC Clinic	Operations Research & Supply Chain Management
Jacob Gomez	Gizem Karaali	Ethnomathematics: Rethinking critical pedagogies for mathematics education
Grant Belsterling	HMC Clinic	Time Series
Amina Abdu	Adolfo Rumbos	Optimal Transport Theory for Equilibrium Selection in Discrete Games
Edwin Villafane Hernandez	Blake Hunter	Detecting Communities Through Cultural Analytics and Multilayered Networks
Samuel Yih	Stephan Garcia	Factorization Length Distribution in Numerical Semigroups
Evan Schechter	Asuman Aksoy	Banach Spaces and Bernstein Pairs
Vanessa Machuca	Ami Radunskaya	Age-Structured Modeling of Antarctic Fish Populations
Claire Fan	Ami Rad/Blerta Shtylla	Modeling Sociality in Nephila clavipes Spider
Tiannan Du	Allon Percus	Word Embedding and Its Applications
Jeffrey Carney	HMC Clinic	Optical Character Recognition with Neural Networks
Yufeng Hu	Omayra Ortega	Epidemiological Compartment Models of Malaria
Ashley Simons	Talithia Williams	Topic Modeling the New York Times: A New Look at World War II
Jacob Shore	Gabe Chandler	Modeling Westward Expansion through Filaments
Ben Gregory	Kim Ayers	Symbolic Dynamics of Smale's Horseshoe
Gillian Desmond	Vin de Silva	Error-Correcting Codes: Hidden Geometry
Madhura Jayaraman	William Devanny	Monster Packing Theorem
Austin Wei	Vin de Silva	Recurrence and Combinatorial Number Theory
Andi Chen	Vin de Silva	Impartial Gamers’ Guide to Winning
Nurullah Goren	Gizem Karaali	Quantitative Literacy in Context: Insights from Textbook Analysis
Nicholas Vucovich	Ami Radunskaya	Modeling Warfare
Nick Azar	Omayra Ortega	Methods of Malaria Modeling - Stochastic Processes
Chris Barnes	Jo Hardin	Neural Style Transfer
Paul Westcott	Adolfo Rumbos	Optimization of Common Pool Resource Games Using Control Theory
Erin Angelini	Blerta Shtylla	An Energy-Based Model of Mitotic Spindle Alignment
Ethan Matlin	Ami Rad/Blerta Shtylla	The Social Spider: An Agent-based Model for Clustering Behavior
Luis Espino	Jo Hardin	Racism without a Face: Predictive Statistics in the Criminal Justice System
Chaitanya Fatehpuria	Angelo De Pace	Modeling the Dynamic Conditional Correlation between India and United States Stock Markets with Multivariate GARCH models
James Kinney	Gabe Chandler	Boosting in the Context of a New Regression Algorithm
Neel Adhiraj Kumar	Vin de Silva	Algorithms and Artificial Intelligence for 2048
Amy Oden	Shahriar Shahriari	Evaluating Efficiency with Data Envelopment Analysis
Timothy Woods II	Ami Rad/Blerta Shtylla	Modeling Spider Behavior: An investigation of Spider Clustering
Noah Keshner	Gabe Chandler	From Training to Test: A Way to Characterize Expected Performance on Future Data
Shreyas Kadaba	HMC Clinic	Methods for Optimizing Supply Chain Management
Kadija Yilla	Ami Radunskaya	Analyzing Cascades in Social Networks
Kashvi Tibrewal	Jo Hardin	Learning from Loss Functions: An Alternative Approach to Classification

Eric Campbell – Infiniteness and Linear Temporal Logic Soundness, Completeness & Decidability
(Supervisor: Greenberg)

Alejandra Castillo – Manifold Learning for Flow Cytometry Data
(Supervisor: Radunskaya)

Woonhyuk “Harry” Choi – Boltzmann Enhancements of Biquasile Counting Invariants
(Supervisor: Nelson)

Emily Driscoll – Finding and Using Supersingular Elliptic Curves
(Supervisor: Sarkis)

Zivvy Epstein – Data Representation as Low Rank Matrix Factorization
(Supervisor: Hunter)

Kai Fukutaki – Extensions of Support Vector Machines
(Supervisor: Chandler)

Abigail Gardner – Variations of Parameters in Crime Dynamics Modeling
(Supervisor: Ayers)

Logan Gilbert – Bayesian Discovery of Threat Networks
(Supervisor: Chávez)

Adam Hathaway – Algebraic Models of Logic in Quantum Mechanics
(Supervisor: Karaali)

Adam He – A Topological Model of Lasso Proteins
(Supervisor: Flapan)

Ian Jaime – Stochastic Volatility Modeling: Time Series and Differential Equation Approaches
(Supervisor: Chandler)

Ruby Kim – Stability Analysis of a Tumor-Immune Model
(Supervisor: Radunskaya)

Sang Yeob “John” Kim – Mathematical Modeling of Antimicrobial Resistance
(Supervisor: Rumbos)

Beattie Kuture – Exploiting Orbits to Solve Symmetric Integer Linear Programs
(Supervisor: Shahriari)

Nicolas Lanker – Algebraic Graph Theory and the Tutte Polynomial of Graphs
(Supervisor: Shahriari)

Xuanchi Lu – Topological Time Series Analysis
(Supervisor: de Silva)

Benjamin Lu – Constructing Prediction Intervals for Random Forests
(Supervisor: Hardin)

Yichen Lu – Modeling the Vehicle Routing Problem in the Real World
(Supervisor: Martonosi)

Maria Martinez – The Expectation Maximization Algorithm & RNA-sequencing
(Supervisor: Hardin)

Anna Novikova – Topic Modeling with Emotion Analysis
(Supervisor: Hunter)

Ralitsa Racheva – Counting Cliques in Turán Graphs after Adding Extra Edges
(Supervisor: Miner)

Nathanael Roy – Genetic Algorithms
(Supervisor: Huber)

Luke Sawyer – Distribution of Residues in the Pisano Period
(Supervisor: Sarkis)

Timothy Schaaff – Triangle Factors in Random Graphs
(Supervisor: Garcia)

Leo Selker – Möbius Inversion: From Posets to Categories
(Supervisor: de Silva)

Dmitriy Smirnov – SimpleX: Software Tools for Visualizing Functions on Simplicial Complexes
(Supervisor: de Silva)

Julia Smith – Evaluating Problem-Based Mathematics Curricula, Grades 9-12
(Supervisor: Karaali)

Paul Tran – Mathematically Modeling the Dynamics of Tuberculosis
(Supervisor: Rumbos)

Anastasia Voloshinov – Spectral Sparsification of Graphs
(Supervisor: Shahriari)

Jinglin “Vanessa” Wang – Revisiting the College Admissions Problem
(Supervisor: Karaali)

Jackson Warley – Random Links via Simplex Embeddings
(Supervisor: Kozai)

Nattanicha Wattananimitgul – Simulating Diffusion-Limited Reactions and Application to Cell Division of the Caulobacter Crescentus Bacterium
(Supervisor: Shtylla)

Christina Williamson – Gaussian Process Regression:  A Nonparametric Bayesian Modeling Approach
(Supervisor: Chandler)

Song Yu – Symmetries of Spatial Graphs in Homology Spheres
(Supervisor: Flapan)

Wentau Yuan – Functional Representation of Maps Between Shapes
(Supervisor: de Silva)

Yenny Zhang – Integrating Random Forests into the Bag of Little Bootstraps
(Supervisor: Hardin)

Devon Allison – Nash Equilibrium
(Supervisor: Shahriari)

Nicholas Alvarez - Decision Making in Random Forests
(Supervisor: Radunskaya)

Isaiah Boone - SVM and the Application of Prediction Rules
(Supervisor: Hardin)

Kevin Brice - Principal Component Analysis and Baseball
(Supervisor: Sarkis)

Sydney Browning - Predictive Analytics
(Supervisor: Chandler)

John Bryan - Obtaining Confidence & Prediction Intervals from Random Forests Using Bag of Little Bootstraps & Related Methods
(Supervisor: Hardin)

Paula Burkhardt - Interlacing Polynomials and Infinite Families of Ramanujan Graphs
(Supervisor: Garcia)

Wanning Chen - Exploring the Properties of Maximally Even Sets via Lens of Partially Ordered Set
(Supervisor: de Silva)

Michael Cork - Incorporating PD-L1 in a mathematical model of immune response to tumor cells
(Supervisor: Radunskaya)

Gabriel Currier - Hamiltonian Cycles in Dense Regular Graphs
(Supervisor: Shahriari)

Pieter Derdeyn - An Elastic Model for Bacterial DNA Segregation
(Supervisor: Shtylla)

YuBai Di - Intrinsically Strong Linking in Complete Graphs
(Supervisor: Flapan)

Ciaran Evans - Normalization of RNA-Seq data in the case of asymmetric differential expression
(Supervisor: Hardin)

Luke Fischinger - a Quasigroups and Their Characters
(Supervisor: Karaali)

John Fowler - Monte Carlo Approximation Methods for Stochastic Optimization
(Supervisor: Huber)

Andrea "Annie" Hellebust - Minimizing Power Outages in Power Distribution Networks: A Clinic Project for Southern California Edison
(Supervisor: Radunskaya & Shtylla)

Max Hoffman - Modelling Mitotic Spindle Stability in C. elegans
(Supervisor: Shtylla)

Tingyu Huang - The Greene-Kleitman Theorem and Its Proofs
(Supervisor: Shahriari)

Kevin Kannappan - Modeling of Crime Hotspots: Applied to Residential Burglary in San Francisco
(Supervisor: Chavez)

Stephen Kim - Predicting Outcomes for Soccer Tournaments & Leagues
(Supervisor: Chandler)

Yein Kim - Random Walks and Electric Networks
(Supervisor: de Silva)

Hannah Li - The Manickam-Miklos-Singhi Conjecture
(Supervisor: Shahriari)

Cristina Lopez -  A Mathematical Model for the Release Kinetics in a Cancer Vaccine
(Supervisor: Radunskaya)

Ruoxi Lu - Kernels in the Mathematics of Learning
(Supervisor: de Sliva)

Daniel Metz - Bayesian Nonparametrics
(Supervisor: Chandler)

Cesar Meza – Ethnomathematics
(Supervisor: Karaali)

Charles Minkah-Premo - Motivation and Epistemological Beliefs in Different Domains
(Supervisor: Karaali)

Woodson Powell - Exploring Gaussian Processes and American Football
(Supervisor: Radunskaya)

Emily Proulx - Creative Mathematical Reasoning in Assessment Tasks
(Supervisor: Karaali)

Dylan Quantz - Analyzing Centrality in Complex Gene Networks
(Supervisor:  Hardin)

Simon Rosenbaum - Money for Nothing, Picks for Free: A statistical evaluation of the impact of Major League Baseball's New Collective Bargaining Agreement on the Rule IV Draft
(Supervisor: Chandler)

Andrew Russell - Elliptic Curve Pairings in Cryptography
(Supervisor: Sarkis)

Kristin Silva - Benford's Law of Leading Digits in Astronomy
(Supervisor: Garcia)

Ryan Smith - Representation Theory for C*-Algebras
(Supervisor: Garcia)

Hong Suh -  Distinct Distances and Polynomial Partitioning
(Supervisor: Garcia)

Daniel Swift - On the Density of Rational Quadrilaterals and its Potential Application to an Open Problem in Number Theory
(Supervisor: Sarkis)

Aaron Varner - Decompositions of the Linear Lattice
(Supervisor: Sarkis)

Adam Waterbury - Strong Linking of Embedded Graphs
(Supervisor: Flapan)

Daniel Weinand - Proper Scoring Rules for the Extreme value distribution
(Supervisor: de Silva)

Archer Wheeler - Strong Linking of Embedded Graphs
(Supervisor: Flapan)

Aryana Yee - Machine Learning and Applications in Credit Scoring
(Supervisor: Radunskaya)

Kimberley Africa - 2+2≠4: Challenging Mathematical Realities and Access in Education
(Supervisor: Karaali)

Rebecca Baiman - Investigation of Error Rates in Box Plot-based Inference
(Supervisor: Hardin)

Julien Breistroff - Complex Dynamics, Fractals, and Sonification
(Supervisor: Radunskaya)

Bryan Brown - Factoring 2 X 2 Inner Functions
(Supervisor: Garcia)

Jedrik Chao - Seawater Reverse Osmosis Desalination Models
(Supervisor: Radunskaya)

Kirkwood Alexander Cloud - Simulating Vervaat Perpetuities
(Supervisor: Mark Huber)

Alexander Cole - Supermanifolds
(Supervisor: Karaali)

William Curatolo - Regularity of Graphs
(Supervisor: Shahriari)

Natalie Dennis - Evaluating Stochastic Processes and the Ito Integral
(Supervisor: Rumbos)

William DeRose - Sampling from High Dimensional Distributions: A Gradient Based Approach
(Supervisor: Chandler)

Dillon Dong- The Strange Properties of Tilings
(Supervisor: de Silva)

Catherine Dugan- What is the purpose of a math education?  A Case Study on the Common Core State Standards in Mathematics
(Supervisor: Darryl Yong)

Jacob Fiksel - A Comparative Analysis of RNA-sea and Microarray Data
(Supervisor: Hardin)

Christopher Garnatz - Bootstrapping for Big Data
(Supervisor: Hardin)

Sheridan Grant - Efficient Sampling Over Graphs with the Randomness Recycler
(Supervisor: Mark Huber)

Tianyu Gu - Super Characters and Fourier Transform
(Supervisor: Garcia)

Uriel Guadarrama - The Firefighter Problem
(Supervisor: Shahriari)

Katrina Jacobs - An Investigation of Cops and Robber
(Supervisor: Shahriari)

Yiting Ji - Topological Optimization of Reliability Volatility in Power Distribution Network
(Supervisor: Sarkis)

Mary Kamitaki - Applications of Degree Theory to Boundary Value Problems
(Supervisor: Rumbos)

Timothy Kaye - Mondrian Forests
(Supervisor: Chandler)

Alexandre Kellogg - How Humans Play Games: A Comparison of a New Equilibrium Concept using Experimental Data
(Supervisor: Fryer)

Rob Knickerbocker - Optimizing Reliability of Power Distribution Networks
(Supervisor: Shtylla)

Mathieu de Langis - Some Supercharacter Theories on (ℤ/nℤ)^d
(Supervisor: Garcia)

Woo Hyung Lee - Predicting Irrational Outcomes in Game Theory
(Supervisor: Fryer)

Kevin Lu - Curse of Dimensionality and Audio Data
(Supervisor: Chandler)

Alexander Ma - Random Graphs and Ramsey Theory
(Supervisor: de Silva)

Geordie Marriner - Financial Applications of Stochastic Differential Equations
(Supervisor: Rumbos)

Kyle McAndrews - A Post Recession Analysis of Value at Risk
(Supervisor: Chandler)

Emmanuel Mendez - Fermat's Last Theorem
(Supervisor: Karaali)

Eric Pasewark - Computing Nash Equilibria
(Supervisor: Fryer)

Kenneth Rabin - A Probabilistic Analysis of Casino Blackjack and Card Counting Strategies
(Supervisor: Shtylla)

Susannah Shoemaker - Derivation of Fučík Curves for Periodic Boundary Value Problems
(Supervisor: Rumbos)

Michael Someck - Error-Correcting Codes
(Supervisor: Shahriari)

Thalia Spinrad - Finding Unstable Smooth, Symmetric Selection Dynamics
(Supervisor: Fryer)

Jennifer Stewart - Creativity and Failure in Gifted Mathematics Education
(Supervisor: Karaali)

Samantha Stewart - Optic Giloma through the Lens of Cluster Analysis
(Supervisor: Radunskaya)

Connor Sutton - An Exploration of Integer Partitions
(Supervisor: de Silva)

Daniel Thompson - Intrinsic Linking in Complete Graphs
(Supervisor: Flapan)

Sallie Walecka - A Mathematical Model for Pattern Formation in IDPN-treated Axons
(Supervisor: Shtylla)

Hannah Wayment-Steele - A Stochastic Differential Equations Model for Microtubule Dynamics in Early C. elegans Development
(Supervisor: Shtylla)

Xiang "Carol" Xiang - Modeling Women's Income Dynamics
(Supervisor: Radunskaya)

Samuel Young - Homotopy Type Theory
(Supervisor: de Silva)

Caroline Zaia - Value Added Modeling in Teacher Assessment
(Supervisor: Hardin)

Tianrong "Sally" Zhang - Riemann Zeta Function
(Supervisor: Garcia)