Senior Theses from 2024
The Dual Boundary Complex of the Moduli Space of Cyclic Compactifications, Toby Anderson
Exploring Sigmoidal Bounded Confidence Models with Mean Field Methods, Tian Dong
Solving Robert Wilson’s 𝑡 ≠ 2 Conjecture on Graham Sequences, Krishna Rajesh
Probing the Ising Model’s Thermodynamics through Restricted Boltzmann Machines, Xiaobei (Emma) Zhang
Senior Theses from 2023
An Inquiry into Lorentzian Polynomials, Tomás Aguilar-Fraga
The Sensitivity of a Laplacian Family of Ranking Methods, Claire S. Chang
Modeling self-diffusiophoretic Janus particles in fluid, Kausik Das
Long Increasing Subsequences, Hannah Friedman
Beginner's Analysis of Financial Stochastic Process Models, David Garcia
Graph Learning on Multi-Modality Medical Data to Generate Clinical Predictions, Justin Jiang
A Visual Tour of Dynamical Systems on Color Space, Jonathan Maltsman
Multilayer Network Model of Gender Bias and Homophily in Hierarchical Structures, Emerson McMullen
Generalized Far-Difference Representations, Prakod Ngamlamai
Explorations in Well-Rounded Lattices, Tanis Nielsen
Discrete Analogues of the Poincaré-Hopf Theorem, Kate Perkins
Permutations, Representations, and Partition Algebras: A Random Walk through Algebraic Statistics, Ian Shors
Formalizing Discrete Exterior Calculus in Lean, Maxwell Thum
Senior Theses from 2022
An Exploration of Voting with Partial Orders, Mason Acevedo
What is a Trace Module? A Short Peek into Ring Theory, Madelyn Andersen
Investigating the Use of Generative Adversarial Networks (GANs) for Pansharpening Thermal Satellite Imagery, Red Willow Coleman
Check Yourself Before You WREK Yourself: Unpacking and Generalizing Randomized Extended Kaczmarz, William Gilroy
On the Polytopal Generalization of Sperner’s Lemma, Amit Harlev
Mechanisms for the Efficient Hedging of Public Information Events, Max Holloway
Results on the Generalized Covering Radius of Error Correcting Codes, Benjamin Langton
Algebraic Invariants of Knot Diagrams on Surfaces, Ryan Martinez
An Adaptive Hegselmann–Krause Model of Opinion Dynamics, Phousawanh Peaungvongpakdy
Games for One, Games for Two: Computationally Complex Fun for Polynomial-Hierarchical Families, Kye Shi
Smoothed Bounded-Confidence Opinion Dynamics on the Complete Graph, Solomon Valore-Caplan
Senior Theses from 2021
Radial Singular Solutions to Semilinear Partial Differential Equations, Marcelo A. Almora RIos
On the Inverse Hull of a One-sided Shift of Finite Type, Aria Beaupre
Going Meta on the Minimum Circuit Size Problem: How Hard Is It to Show How Hard Showing Hardness Is?, Zoë Bell
Fractals, Fractional Derivatives, and Newton-Like Methods, Eleanor Byrnes
Discrete Vector Fields on Polytopal Complexes, Max Chao-Haft
On the Tropicalization of Lines onto Tropical Quadrics, Natasha Crepeau
The Complexity of Symmetry, Matthew LeMay
Tiling Representations of Zeckendorf Decompositions, John Lentfer
On Rank-Two and Affine Cluster Algebras, Feiyang Lin
Exploring Winning Strategies for the Game of Cycles, Kailee Lin
Towards Tropical Psi Classes, Jawahar Madan
The Slice Rank Polynomial Method, Thomas C. Martinez
Geometric Unified Method in 3D Object Classification, Mengyi Shan
Protest Music in Response to the United States’ Oppressive Political Culture: An Analysis of Beyoncé's "Freedom" and Janelle Monáe's "Americans", Jessica Torrey
Modelling the Transition from Homogeneous to Columnar States in Locust Hopper Bands, Miguel Velez
Senior Theses from 2020
A Discrete Analogue for the Poincaré-Hopf Theorem, Savana Ammons
On the Mysteries of Interpolation Jack Polynomials, Havi Ellers
Reflections on Critical Math Education in the College Classroom: Critical Pedagogy and Modular Approaches, Lily Friedberg
Pascal's Mystic Hexagon in Tropical Geometry, Hanna Hoffman
Where the Wild Knots Are, Forest Kobayashi
Agent-Based Modeling of Locust Foraging and Social Behavior, Hannah Larson
Use of Kalman Filtering in State and Parameter Estimation of Diabetes Models, Cassidy Le
Mapping Floral Resources for Bees using Drone Imagery, Arya Massarat
Composing Probabilistic Graphical Models with Adaptive Basis Methods, Nicholas Richardson
An Exploration of Combinatorial Interpretations for Fibonomial Coefficients, Richard Shapley
A Coherent Proof of Mac Lane's Coherence Theorem, Luke Trujillo
Senior Theses from 2019
Swarm Stability: Distinguishing between Clumps and Lattices, Quentin Barth
Enhancing the Quandle Coloring Invariant for Knots and Links, Karina Elle Cho
A Complexity of Real Functions based on Analog Computing, Adam Dhillon
Randomized Algorithms for Preconditioner Selection with Applications to Kernel Regression, Conner DiPaolo
Using Neural Networks to Classify Discrete Circular Probability Distributions, Madelyn Gaumer
Radial Solutions to Semipositone Dirichlet Problems, Ethan Sargent
Mathematical Modeling of Type 1 Diabetes, Gianna Wu
Senior Theses from 2018
Modeling Subset Behavior: Prescriptive Analytics for Professional Basketball Data, Lucius Bynum
On the Landscape of Random Tropical Polynomials, Christopher Hoyt
Evaluating Flexibility Metrics on Simple Temporal Networks with Reinforcement Learning, Hamzah I. Khan
Self Regulation in College-Level Mathematics Classes, Jenny Lee
An Incidence Approach to the Distinct Distances Problem, Bryce McLaughlin
Sequential Probing With a Random Start, Joshua Miller
Iterative Matrix Factorization Method for Social Media Data Location Prediction, Natchanon Suaysom
Senior Theses from 2017
Classifying the Jacobian Groups of Adinkras, Aaron R. Bagheri
The Document Similarity Network: A Novel Technique for Visualizing Relationships in Text Corpora, Dylan Baker
Pattern Recognition in Stock Data, Kathryn Dover
Random Tropical Curves, Magda L. Hlavacek
Maximal LELM Distinguishability of Qubit and Qutrit Bell States using Projective and Non-Projective Measurements, Nathaniel Leslie
Quantum Foundations with Astronomical Photons, Calvin Leung
Toric Ideals, Polytopes, and Convex Neural Codes, Caitlin Lienkaemper
Tropical Derivation of Cohomology Ring of Heavy/Light Hassett Spaces, Shiyue Li
Combinatorial Polynomial Hirsch Conjecture, Sam Miller
Slowing the Evolution and Outbreak of Antibiotic Resistance, Connie Okasaki
Complexity of Linear Summary Statistics, Micah G. Pedrick
Kinetic Monte Carlo Methods for Computing First Capture Time Distributions in Models of Diffusive Absorption, Daniel Schmidt
Investigating Post-Earnings-Announcement Drift Using Principal Component Analysis and Association Rule Mining, Ian R. W. Schweickart
Incorporating the Centers for Disease Control and Prevention into Vaccine Pricing Models, Dina Sinclair
Emergence and Complexity in Music, Zoe Tucker
Sudoku Variants on the Torus, Kira A. Wyld
Machine Learning on Statistical Manifold, Bo Zhang
Dynamics and Clustering in Locust Hopper Bands, Jialun Zhang
Senior Theses from 2016
An Interactive Tool for the Computational Exploration of Integrodifference Population Models, Kennedy Agwamba
Fibonomial Tilings and Other Up-Down Tilings, Robert Bennett
The Geometry of Data: Distance on Data Manifolds, Casey Chu
Pattern Recognition in High-Dimensional Data, Matthew Dannenberg
Topological Data Analysis for Systems of Coupled Oscillators, Alec Dunton
Assessment of Treatment and Screening Procedures for Chlamydia trachomatis Infections in a College Setting., Margaux L. Hujoel
Convexity of Neural Codes, Robert Amzi Jeffs
Hopper Bands: Locust Aggregation, Ryan C. Jones
A Bound on the Number of Spanning Trees in Bipartite Graphs, Cheng Wai Koo
Steady State Solutions for a System of Partial Differential Equations Arising from Crime Modeling, Bo Li
Graph Cohomology, Matthew Lin
Mathematical Modeling of Blood Coagulation, Joana L. Perdomo
Line-of-Sight Pursuit and Evasion Games on Polytopes in R^n, John Phillpot
The Global Stability of the Solution to the Morse Potential in a Catastrophic Regime, Weerapat Pittayakanchit
