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2024

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Making A Computer Sing: Modeling The Bird Syrinx, Ahmed Nafis Farhan

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From Sliding Blocks to Stumbling Blocks, Milena KB Feher

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An Unsupervised Machine Learning Algorithm for Clustering Low Dimensional Data Points in Euclidean Grid Space, Josef Lazar

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Finding Maximal Cap Sizes for Quad Card Decks Using Share Strings, Oliver William Pawelek

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Results on $k$-Covers in the Game Quads, Daniel Melvin Rose-Levine

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Folding and Embedding Cubical Complexes, Skye Rothstein

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Symmetry and Structures of APN Functions and Sidon Sets, Darrion Thornburgh

2023

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Analysing Flow Free with Pairs of Dots In Triangular Graphs, Silin Chen

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Examining Stellate Unions, Julia Erin Crager

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Parking Garage Functions, Felicia Elizabeth Flores

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Modeling Vascular Diffusion of Oxygen in Breast Cancer, Tina Giorgadze

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Spotting k-TriCaps in SPOT IT!, Jenarah Skyara Lara

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Describing Fine Human Motion With Soft Mathematics: A Starter Guide (as explored through pianist movement), Hannah Park-Kaufmann

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Quandle Unification Reduces to Quandle Matching, Maximus Redman

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Mathematical Structure of Musical Tuning Systems, Shay Joel Francis Spitzer

2022

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The Algebra of Type Unification, Verity James Scheel

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Hidden Symmetries of the Kepler Problem, Julia Kathryn Sheffler

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Inscribed Square Problem in the 2-dimensional Integer Lattice, Andrew Stafford

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Does Bias Have Shape? An Examination of the Feasibility of Algorithmic Detection of Unfair Bias Using Topological Data Analysis, Ansel Steven Tessier

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Win Big(k), Lose Big(k): A further exploration of the Win Big and Lose Big voting systems, Rachael Frances Yoder

2021

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Juggling: Siteswap and the Symmetric Group, Kieran Annett

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Gibbs Phenomenon for Jacobi Approximations, Riti Bahl

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Module Basis of Mixed Splines over R[x], Philip G. Barnet

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Coding Theory and Supersymmetry, Woochan Hwang

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An Exploration on Condorcet-Approval-Range Voting Function with limits, Jiangli Liu

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Untouchable Money and Impossible Clones: Applications of Quantum Picturalism and ZX-Calculus, Shea A. Roccaforte

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Tverberg Type Partitions: Sub-Regular and Elliptical Polygons, Tobias Golz Timofeyev

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Lagrangian Cobordisms of Legendrian Pretzel Knots with Maximal Thurston-Bennequin Number, Raphael Barish Walker

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Using Markov Chain Monte Carlo Algorithms to Predict Gerrymandering, Jazmin Zamora Flores

2020

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Chase-Escape on Sparse Networks, Emma Sylvie Bernstein

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A Multi Centerpoint Theorem via Fourier analysis on the Torus, Yan Chen

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n-cycle Splines over Sexy Rings, Jacob Tilden Cummings

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Determining Tone of a Body of Text, Cole G. Hollant

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Modeling Vibrating Non-elastic Strings, Yidao Ho

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Cops and Robber on Oriented Graphs, Mehreen Kabir

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Relating Sentiment Expressed by Financial Twitter Accounts and Financial Index Price Movement, Jacob Edelstein Lester

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Square Peg Problem in 2-Dimensional Lattice, Nathan M. Matsubara

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Connectedness in Cayley Graphs and P/NP Dichotomy for Quay Algebras, Thuy Trang Nguyen

2019

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Credit Risk Analysis in Peer to Peer Lending Data set: Lending Club, Mohammad Mubasil Bokhari

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Investigations of finding all stable solutions of Stable Marriage Problem, Chenyu Chang

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Markov Chains in Music Composition, Corey Chang

Markov Chains in Music Composition, Corey Joseph Chang

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The Credit Scorecard Model, Jintao Fang

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The Conditional Probability That an Elliptic Curve Has a Rational Subgroup of Order 5 or 7, Meagan Kenney

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Polygonal Analogues to the Topological Tverberg and van Kampen-Flores Theorems, Leah Leiner

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Upper Bounds for the Number of Lattice Edges Needed to Represent 4-Regular Graphs as Lattice Graphs, Shenze Li

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From Black-Scholes Model to Pricing Models of American Options: A Performance Comparison, Yushi Pan

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Analysing Flow Free with One Pair of Dots, Eliot Harris Roske

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Factorization Lengths in Numerical Monoids, Maya Samantha Schwartz

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Time and Finance: Exploring Variance in the Black-Scholes Model, Edward Chase Skorupa

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Econometric Methods for Comparative Case Studies: Lessons From the Dominican Prison Reform, Sofia Thompson

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Predicting How People Vote From How They Tweet, Rao B. Vinnakota

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A Strength Test for the Borda Count, Jade Monroe Waring

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From Constant to Stochastic Volatility: Black-Scholes Versus Heston Option Pricing Models, Hsin-Fang Wu

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Happy Numbers in Iterations of Degree Three, Hao Zheng

2018

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Hamilton Graphs in the Game of Flow, Samuel Mar Baumgartner

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Determinantal Conditions on Integer Splines, Kathryn Elizabeth Blaine

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Analyzing the Probabilistic Spread of a Virus on Various Networks, Teagan DeCusatis

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Gerrymandering and the Impossibility of Fair Districting Systems, Danielle Degutz

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Graph Replacement Systems for Julia Sets of Quadratic Polynomials, Yuan Jessica Liu

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Stock Price Forecasting Using Stochastic Processes and Machine Learning, Yuming Liu

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Applications of Equivariant Topology In Cascading Makeev Problems, Andres N. Mejia

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An Implementation of the Solution to the Conjugacy Problem on Thompson's Group V, Rachel K. Nalecz

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Expected Value and Standard Deviation of the Center of Mass of Random Configurations, Thuy Linh Nguyen

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Gene Transcription Modeling within a Random and Tethered Environment, Carlos A. Polanco

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Ties in Ranked Voting Systems, Odett V. Salcedo

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Homeomorphisms of the Sierpinski Carpet, Karuna S. Sangam

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Concerning the Construction of Four-bar Linkages and Their Topological Configuration-spaces, Peter K. Servatius

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Centroidal Voronoi Tessellations with Few Generator Points, Kirill Shakhnovskiy

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Counting Trees in Ladder Graphs, Yida Shao

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Supersymmetry and the Math of Adinkras, Ari Putt Spiesberger

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The Mathematics of Cancer: Fitting the Gompertz Equation to Tumor Growth, Dyjuan Tatro

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Projector-Camera Calibration for a Multi-Planar Dome, Darren Asante Tirto

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Exploring Sequences of Tournament Graphs with Draws, Kaylynn H. Tran

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Some Results on 0-1 Languages, Thanh Thuy Trang Tran

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Time and Frequency Independent Manipulation of Audio in Real Time, Christian Albert Yost

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Hyperplanes Equipartition with Cascading Makeev, Jialin Zhang

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A Stochastic Mass Function on the Edges of a Graph, Lingxin Zhao

2017

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Go With the Flow: An Exploration of Distributed Network Flow for Robot Pathfinding, Marley Claire Alford

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Equipartitions using Finite Fourier Analysis, Adrian Kaufman Gillerman

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Quantifying the Effect of The Shift in Major League Baseball, Christopher John Hawke Jr.

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From Random to Organized: The Architecture of Neural Networks During Development, Avery Isabella Morris

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The Expectation for the Center of Mass of Finite Integer Grids, Finnegan Maximilan Muller Hardy

2016

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Orthogonal Projections of Lattice Stick Knots, Margaret Marie Allardice

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Associativity of Binary Operations on the Real Numbers, Samuel Joseph Audino

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Abstractions and Analyses of Grid Games, Taylor Rowan Boone

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Random Walks on Thompson's Group F, Sarah C. Ghandour

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Constructing a Categorical Framework of Metamathematical Comparison Between Deductive Systems of Logic, Alex Gabriel Goodlad

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The Schur Factorization Property as it Applies to Subsets of the General Laguerre Polynomials, Christopher A. Gunnell

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Public Key Cryptography with the Brin-Thompson Group 2V, Cyril Xavier Kuhns

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Exploring Tournament Graphs and Their Win Sequences, Sadiki O. Lewis

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Integer Generalized Splines on the Diamond Graph, Emmet Reza Mahdavi

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Winning Strategies in The Board Game Nowhere To Go, Najee Kahil Mcfarland-Drye

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The Facilitation of Sound Waves Using Mathematical and Scientific Methods of Digital Signal Processing, Benjamin Rocco Moss

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Envy-Free Fair Division With Two Players and Multiple Cakes, Justin J. Shin

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Radical Recognition in Off-Line Handwritten Chinese Characters Using Non-Negative Matrix Factorization, Xiangying Shuai

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A Variational Approach to the Moving Sofa Problem, Ningning Song

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Cutoff for Lamplighter Markov Chains on Prisms, Zexi Song

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Lose Big, Win Big, Sum Big: An Exploration of Ranked Voting Systems, Erin Else Stuckenbruck

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McKay Graphs and Modular Representation Theory, Polina Aleksandrovna Vulakh