Mathematics and Statistics Senior Theses

Senior	Advisor	Topic
Elliott Abel	Gabriel Chandler	Boosting the candy model
Esteban Ayala	Konrad Aguilar	Differentiation on the quantized interval
Karina Behera	Konrad Aguilar	Compactness of density spaces.
Ari Benveniste	Vin de Silva	Algebraic topology: theory and applications
Necdet Canim	Johanna Hardin	Exploration of dimension reduction methods
Clara Caspard	Max Hlavacek	Graph optimization and related topics in algebraic geometry
Arsum Nadeem Chaudhary	Shahriar Shahriari	Partitions, pentagonal numbers and a recurrence relation
Arsh Chhabra	Stephan Garcia	Numerical semigroups from rational matrices
Joe Cookson	Gabriel Chandler	A Bayesian approach to basketball analytics
Mya Corral	Alejandra Castillo	An exploration of recommendation systems
Ruth Gale	Adolfo Rumbos	3D axisymmetric temperature-dependent viscoelastic models of magma chambers
Edward Gao	Adam Yassine	A One-Dimensional Analysis of the Fokker-Planck Equation
Cameron Hatler	Adolfo Rumbos	An exposition in particle laden flow
Xuehuai He	Vin de Silva	Finding (all possible) regular polytopes
Hubery Hu	Johanna Hardin	Research on latent Dirichlet allocation and its application on synthetic network generation
Mitchell Keenan	Vin de Silva	Bongard problems and versatile reasoning methods
Emrys King	Shahriar Shahiari	The historical confluence of statistical linear modeling and eugenics
Theo Kokonas	Shahriar Shahriari	Dyck words, tree operations, and the middle levels problem
Stephan Kwak	Adolfo Rumbos	Introduction to neural networks in quantitative finance
Nico Santa Maria	Taylor McAdam	Judgment aggregation theory for opinion dynamics
Nicholas Mikhail	Gabriel Chandler	Re-ranking college soccer
Jayan Nitzsche	Adam Yassine	A geometric viewpoint of Spin Glasses
Franklin Paas	Konrad Aguilar	The value of weather: pricing weather derivatives using machine learning
Zoe Piccirillo	Max Hlavacek	Agent-based modeling of climate policy: methods and applications
Tilo Reneau-Cardoso	Gabriel Chandler	Automated reasoning for computer algebra systems: Improving SymPy's assumptions module
Ryo Sato	Vin de Silva	A compactness problem
Robin Shen	Gizem Karaali	Using a graph theoretical framework to model accessibility of public transportation
Stanley Su	Stephan Garcia	Algorithms for counting primes
Mira Terdiman	Johanna Hardin	Sigmoid modeling with Sicegar
Kyle Torres	Johanna Hardin	Comparing estimation techniques in latent Dirichlet allocation
Sumi Vora	Gizem Karaali	Minimal automata for Coxeter groups
Chris Wang	Edray Goins	A mathematical supplement for first-year physicists
Allie Wong	EdrayGoins	Known attacks on elliptic curve cryptography
Melinda Yang	Edray Goins	Integral solutions to Pell's equation
Xiaoxing Yu	Taylor McAdams	Geometry under the dynamicist's toolkit: origami slope-gaps and the Hall distribution
Echo Zhang	Shahriar Shahiari	Modeling Renewable Energy Integration

Senior	Advisor	Topic
Emil Adams	Taylor McAdam	Common value auctions and theory
Joram Amador	Yi Chen	Change in beliefs over time
John Arrowsmith	Konrad Aguilar	Applications of hierarchical linear models
Tesfa Asmara	Edray Goins	Algebraic topology with applications to Colonel Blotto
Zoe Batterman	Edray Goins	From permutations to paths: monodromy groups
Noah Benjamin	Adolfo Rumbos	Exposition on the variational approach to prove existence of solutions for a 2-point boundary value problem
Harry Berman	Ghassan Sarkis	Music generation with generative adversarial nets
Louis Burns	Max Hlavacek	Ehrhart theory of some signed poset polytopes
Mason Cai	Sam Nelson	Quandle actions and knot invariants
Emely Calderon	Konrad Aguilar	Hahn-Banach theorem and welfare
Nico Candido	Ghassan Sarkis	The most dangerous problem in mathematics
Sara Colando	Johanna Hardin	Selecting ChIP-seq normalization methods from the perspective of their technical conditions
Gordon Elnagar	Adolfo Rumbos	A Game Theoretic Approach to Drone Warfare
Alex Kehlani Fay	Vin de Silva	Catching everything everywhere one at a time with an anthropomorphic robotic hand
Carson Hambuchen	Vin de Silva	Nim and its applications to other combinatorial games
John Hamre	Gizem Karaali	Fractals in non-Euclidean geometries
Zachary Hinz	Gizem Karaali	Error-correcting codes: a brief introduction
Ian Horsburgh	Ami Radunskaya	Generative diffusion models
Brianna Huynh	Gizem Karaali	What's Behind a Grade? A Comparative Study on Faculty Rationale for Grading
Saatvik Kher	Gabriel Chandler	Exploring Neighborhoods: Locality in LIME Interpretations
Brendan Kish	Konrad Aguilar	Morphogenesis and Rxn-diffusion equations
Kabir Kothari	Vin de Silva	Combinatorial game theory and some examples
Anuradha Krishnan	Ami Radunskaya	All disease begins in the gut - Presenting a computational model of the Gut-Brain Axis and Tryptophan-Serotonin Pathway
Brandon Lau	Adam M. Yassine	Scaling Limits and the Feynman-Kac Formula
Dashiell Lipsey	Gabriel Chandler	Autocorrelation of errors in time-series analysis
Kevin Loun	Edray Goins	Optimizing CNN's for gastric cancer
Dean Ah Now	Adolfo Rumbos	The prevalence of Braess' Paradox
Matthew Ong	Adolfo Rumbos	Statistical analysis and dimensionality reduction of protein sequences
Isaac Pan	Gabriel Chandler	Ancestry through Directed Graphs
Ulisses Rizo	Adolfo Rumbos	Symbiont effect on seed dispersal kernel estimation
Oscar Scholin	Ami Radunskaya	Simulating SYK Wormhole Teleportation and Learning Mutual Information on an IBM Eagle Processor
Elizbeth Sohn	Ami Radunskaya	Modeling ropinirole across the blood-brain barrier
Shirley Toribio	Alejandra Castillo	Event Time Prediction with Time-varying Covariates
Fangqian Zhang	Stephan Garcia	Rational matrix semigroups

Senior	Advisor	Topic
Deen Amanat	Michelle Zemel	Sample Complexity of Reinforcement Learning
Kamden Baer	Gizem Karaali	An Exploration of Mathematical Methods in the Study of Language
Vera Berger	Ghassan Sarkis	Methods For Building an Empirical Model of Stellar Flares
Carl Bell	Lenny Fukshansky	An Investigation into Lattices
Aditya Bhalla	Ghassan Sarkis	Benders Decomposition and its Application to Vaccine Drone Delivery
Kyle Bierly	Stephan Garcia	The linear targeting problem
Irmak Bukey	Dwight Williams	Solving Laplace's Equation Using Representation Theory of Reduction Algebras
Mohsin Ali Butt	Ami Radunskaya	Queuing Theory: Interesting Dynamics from Economic Models and Applications
Charlotte Cheah	Shahriar Shahriari	Attack and defence group games
Anna Choi	Shahriar Shahriari	Finding Chromatic Polynomials through Rook Theory
Tianna Couch	Edray Goins	Using Epidemiological Models to Assess the Opioid Epidemic
Julia Dou	Vin de Silva	Differential equations of love
Nathaniel Getachew	Gabriel Chandler	Latent Dirichlet Allocation: Topic Modeling and Automatically Ranking Topics
Jake Gladstone	Vin de Silva	Landmark Theorems of Category Theory
Gabriela Guerrero	Angel Chavez	Brownian Motion and Predicting Stock Market Prices
Alan Guo	Ami Radunskaya	Exploring the Dovetail Shuffle
Fiona Hall	Vin de Silva	Categorified Dendrograms and Reeb Graphs
Xuwen Kevin Hua	Shahriar Shahriari	Game Theory in Action: Nash Equilibrium and Misbehaving Players
Jackson Hurley	Stephan Garcia	Random Vector Norms
John King	Angel Chavez	The Complexity of Tetris
Meli Kofokotsiou	Sheri Tamagawa	The Ontological Question of Mathematics Through the Lens of The Continuum Hypothesis
Ian Krupkin	Johanna Hardin	Prediction Error Estimation in Random Forests
Olivia Leu	Johanna Hardin	Mathematical Methods for Analysis of Political Redistricting Practices
Patrick Lewis	Ghassan Sarkis	De Rham's Theorem
Rohan Lopez	Edray Goins	Adinkras: Graphical Representations of 1-d Supersymmetry
Chris Meng	Gizem Karaali	Connecting the Racial Counternarratives of Black and Asian Math Students
Tomoya Murakawa	Pierangelo de Pace	Empirical Analysis of Factors Affecting U.S. Immigration*
Nicholas Nguyen	Gizem Karaali	Optimizing the Number of Signals in Two-Sided Matching Problems
Bayarmaa Nyamtogtokh	Gizem Karaali	Combinatorial Game Theory As It Applies To Card Game 108
Pich Peou	Edray Goins	Mathematical Analysis of Memory Game
Drumee Shah	Ami Radunskaya	Differential Equations and Civil Wars
Andrew Shannon	Dwight Williams	The Diffie-Hellman Problem in Lie Superalgebras
Joshua Suh	Edray Goins	The Sound of Pi
Guy Thampakku	Gabriel Chandler	Depth Quantile Functions in Unsupervised Learning
Corinne Vicario	Ami Radunskaya	Modeling Human Migration in South Carolina with a Generalized Radiation Model
Kristin Walters	Adolfo Rumbos	Mathematics and Sound
Summer Will	Johanna Hardin	Synthetic Minority Oversampling Technique
Ziang Xue	Sherilyn Tamagawa	Chebyshev Polynomial and Application in Modeling
Julie Ye	Johanna Hardin	Permutation Tests in Multiple Linear Regression
Jiahui Yu	Konrad Aguilar	Convergence of Ideals and modules of C*-algebras
Alan Zhou	Gabriel Chandler	Smooth Filament Estimation
Sadie Zhao	Konrad Aguilar	Fisher Markets with Social Influence

Senior	Advisor	Topic
Clark Baker	Adolfo Rumbos	Modeling Tumor Growth as a Free Boundary Value Problem
Abigail Ball	Gizem Karaali	Screen Time: A Theoretical and Practical Exploration of the Graph Algorithms That Power Your Favourite Apps
Oliver Chang	Stephan Garcia	Fast Matrix Multiplication: A Song of Mathematics and Computer Science
Ciara Chow	Maryann Hohn	Combatting misinformation with networked agent-based models
Kamil English	Maryann Hohn	Spreading Music: SIR modeling artist popularity
Salih Erdal	Shahriar Shahriari	Linear Algebraic Techniques in Graph Theory
Lily Feldman	Shahriar Shahriari	Conflict Resolution, But Make It Math: A Sampling of Proper Coloring Problems and Proofs
Pipi Gao	Angel Chavez	Character Network Analysis in Movie Scripts
Adam Guo	Konrad Aguilar	A categorical equivalence between algebra and topology
Michael He	Gizem Karaali	Demystify Growth Curves
Peter Heckendorn	Gizem Karaali	Writing Pedagogy for Proof: Engaging Student Epistemologies in Teaching Mathematical Argument
Tanvi Jhunjhunwala	Ami Radunskaya	Political Protests and Differential Equations
Sanjar Junisbai	Adolfo Rumbos	Three-Person Standoff: the Truel
Sarah Kim	Vin de Silva	Study of Holes: Topological Data Analysis on High Dimensional Data
Amber Lee	Konrad Aguilar	Mapping My Music Taste
Nick Marsano	Vin de Silva	The State of Graph Isomorphisms
Zena Meyer	Edray Goins	The Perron-Frobenius Theorem
Ra-Zakee Muhammad	Gabe Chandler	Topological Data Analysis and Mesh Recognition
Siddharth Namachivayam	Ami Radunskaya	Prediction Markets: A Mechanism for Information Aggregation
Anna Newman	Sherilyn Tamagawa	Random Graph Network Models and how minority political parties can win elections
Phuong Nguyen	Ami Radunskaya	Complex Word Identification in Vietnamese with Support Vector Machines
Lauren Quesada	Jo Hardin	The Pitfalls and Advantages of Permuting
Maxwell Rose	Edray Goins	Visualizing Dessin d'Enfants
J.J. Shankar	Sherilyn Tamagawa	Homology Theories and Data
Sophia Sun	Gabe Chandler	Graph-Based Change-Point Detection Method
Moe Sunami	Jo Hardin	Conformal Prediction Framework
Danny Ta	Vin de Silva	The Combinatorics Behind Tournament Designs
Franco Vijandre	Adolfo Rumbos	Game Theory Bargaining Models
Nick Waalkes	Jo Hardin	Online False Discovery Rate Control: Finding False Positives in Real Time
Jacob Waldor	Angel Chavez	Modeling COVID-19 Spread Using Markovian Random Walks
Arm Wonghirundacha	Gabriel Chandler	Keeping bots at Bayes : Classifying random strings with the Bayes Classifier

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

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

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

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

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)