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Submissions from 2023

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Regular solutions to elliptic equations, Alfonso Castro and Jon T. Jacobsen

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Stable trace ideals and applications, Haydee Lindo and Hai Long Dao

Submissions from 2021

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Infinitely many radial solutions for a p-Laplacian problem with indefinite weight, Alfonso Castro, Jorge Cossio, Sigifredo Herrón, and Carlos Vélez

Submissions from 2018

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Numerical Approximation of Diffusive Capture Rates by Planar and Spherical Surfaces with Absorbing Pores, Andrew J. Bernoff and Alan E. Lindsay

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Boundary Homogenization and Capture Time Distributions of Semipermeable Membranes with Periodic Patterns of Reactive Sites, Andrew J. Bernoff, Daniel Schmidt, and Alan E. Lindsay

Submissions from 2017

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Infinitely Many Stability Switches in a Problem with Sublinear Oscillatory Boundary Conditions, Alfonso Castro and Rosa Pardo

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Existence of solutions to a semilinear elliptic boundary value problem with augmented Morse index bigger than two, Alfonso Castro and Ivan Ventura

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First Passage Statistics for the Capture of a Brownian Particle by a Structured Spherical Target with Multiple Surface Traps, Alan E. Lindsay, Andrew Bernoff, and Michael J. Ward

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Mathematics for Human Flourishing, Francis Su

Submissions from 2016

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Multi-Year Optimization of Malaria Intervention: A Mathematical Model, Harry J. Dudley, Abhishek Goenka '15, Cesar J. Orellana '17, and Susan E. Martonosi

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Cremona symmetry in Gromov-Witten theory, Amin Gholampour, Dagan Karp, and Sam Payne

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Gromov–Witten theory of P1×P1×P1, Dagan Karp and Dhruv Ranganathan

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Simulating Surfactant Spreading: Impact of a Physically Motivated Equation of State, Dina Sinclair '17, Rachel Levy, and Karen E. Daniels

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Freedom through Inquiry, Francis Su

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Race, Space, and the Conflict Inside Us, Francis Su

Submissions from 2015

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Counting on r-Fibonacci Numbers, Arthur Benjamin and Curtis Heberle

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Biological Aggregation Driven By Social and Environmental Factors: A Nonlocal Model and Its Degenerate Cahn-Hilliard Approximation, Andrew Bernoff and Chad M. Topaz

Branches of positive solutions of subcritical elliptic equations in convex domains, Alfonso Castro and Rosa Pardo

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Probing the Inverted Classroom: A Study of Teaching and Learning Outcomes in Engineering and Mathematics, Nancy K. Lape, Rachel Levy, and Darryl Yong

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Guidelines for Good Mathematical Writing, Francis Su

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To the Mathematical Beach, Francis Su

Submissions from 2014

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Challenging Magic Squares for Magicians, Arthur Benjamin and Ethan J. Brown

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Combinatorial Proofs of Fibonomial Identities, Arthur Benjamin and Elizabeth Reiland

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Existence of positive solutions for a superlinear elliptic system with Neumann boundary condition, Alfonso Castro and Juan C. Cardeño

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Energy Driven Pattern Formation in Planar Dipole-Dipole Systems in the Presence of Weak Noise, Jaron P. Kent-Dobias '14 and Andrew Bernoff

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Aftermath: Every Math Major Should Take a Public-Speaking Course, Rachel Levy

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The Scientist–Reporter Collaboration: A Guide to Working with the Press, Rachel Levy, Flora Lichtman, and David L. Hu

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Op-Ed: Solve this math problem: The gender gap, Francis Su

Submissions from 2013

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Barred Preferential Arrangements, Connor Thomas Ahlbach '13, Jeremy Usatine '14, and Nicholas Pippenger

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Nonlocal Aggregation Models: A Primer of Swarm Equilibria, Andrew J. Bernoff and Chad M. Topaz

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On Volumes of Permutation Polytopes, Katherine Burggraf, Jesús De Loera, and Mohamed Omar

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Existence and Qualitative Properties of Solutions for Nonlinear Dirichlet Problems, Alfonso Castro, Jorge Cossio, and Carlos Vélez

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Existence of Seven Solutions for an Asymptotically Linear Dirichlet Problem Without Symmetries, Alfonso Castro, Jorge Cossio, and Carlos Vélez

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A Uniqueness Result for a Singular Nonlinear Eigenvalue Problem, Alfonso Castro, Eunkyung Ko, and R. Shivaji

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Mathematical Modeling of the Regulatory T Cell Effects on Renal Cell Carcinoma Treatment, Lisette G. de Pillis, Trevor Caldwell '12, Elizabeth Sarapata '13, and Heather Williams '12

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A Model of Dendritic Cell Therapy for Melanoma, Lisette G. de Pillis, Angela Gallegos, and Ami E. Radunskaya

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Best Practices in Mathematical Modelling, Lisette G. de Pillis and Ami E. Radunskaya

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Stochastic Service Systems, Random Interval Graphs and Search Algorithms, Patrick Eschenfeldt '12, Ben Gross '13, and Nicholas Pippenger

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Computational Aspects of M.C. Escher’s Ribbon Patterns, Ellen Gethner, David G. Kirkpatrick, and Nicholas Pippenger

The Research on the Status of Chinese Enterprise Annuity Development and Correspondent Countermeasures, Weiqing Gu and Shuai Yuan

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On a Family of K3 Surfaces with S₄ Symmetry, Dagan Karp, Jacob Lewis, Daniel J. Moore '11, Dmitri Skjorshammer '11, and Ursula Whitcher

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Chromatic Bounds on Orbital Chromatic Roots, Dae Hyun Kim, Alexander H. Mun, and Mohamed Omar

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Quantitative Approaches to Sustainability Seminars, Rachel Levy

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Fault Tolerance in Cellular Automata at Low Fault Rates, Mark McCann and Nicholas Pippenger

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B Cell Chronic Lymphocytic Leukemia - A Model with Immune Response, Seema Nanda, Lisette G. de Pillis, and Ami E. Radunskaya

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Social Aggregation in Pea Aphids: Experiment and Random Walk Modeling, Christa Nilsen, John Paige, Olivia Warner, Benjamin Mayhew, Ryan Sutley, Matthew Lam '15, Andrew J. Bernoff, and Chad M. Topaz

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A Borsuk-Ulam Equivalent that Directly Implies Sperner's Lemma, Kathryn L. Nyman and Francis Su

The Gauge Integral Theory in HOL4, Zhiping Shi, Weiqing Gu, Xiaojuan Li, Yong Guan, Shiwei Ye, Jie Zhang, and Hongxing Wei

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Self-healing Dynamics of Surfactant Coatings on Thin Viscous Films, Stephen L. Strickland, Matthew Hin '13, M. Richard Sayanagi, Cameron Conti, Karen E. Daniels, and Rachel Levy

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The Lesson of Grace in Teaching, Francis Su

Submissions from 2012

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Squaring, Cubing, and Cube Rooting, Arthur T. Benjamin

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On the Hardness of Counting and Sampling Center Strings, Christina Boucher and Mohamed Omar

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Resonant Solutions and Turning Points in an Elliptic Problem with Oscillatory Boundary Conditions, Alfonso Castro and Rosa Pardo

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Uniqueness of Nonnegative Solutions for Semipositone Problems on Exterior Domains, Alfonso Castro, Lakshmi Sankar, and Ratnasingham Shivaji

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An Incidence Estimation Model for Multi-Stage Diseases with Differential Mortality, Alyssa W. Dray '10 and Talithia Williams

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M.C. Escher Wrap Artist: Aesthetic Coloring of Ribbon Patterns, Ellen Gethner, David G. Kirkpatrick, and Nicholas J. Pippenger

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Splitting Fields and Periods of Fibonacci Sequences Modulo Primes, Sanjai Gupta, Parousia Rockstroh '08, and Francis E. Su

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Gromov-Witten Theory of P^1 X P^1 X P^1, Dagan Karp and Dhruv Ranganathan

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Cooperative Search with Autonomous Vehicles in a 3D Aquatic Testbed, Matthew J. Keeter '11, Daniel J. Moore '11, Ryan A. Muller '11, Eric A. Nieters '11, Jennifer Flenner, Susan E. Martonosi, Andrea L. Bertozzi, Allon G. Percus, and Rachel Levy

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Formation of Ocean Surface Patterns by Cetacean Fluke Oscillations, Rachel Levy and David Uminsky

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Project-Based ORMS Education, Susan E. Martonosi

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Undergraduate Operations Research Prize, Susan E. Martonosi, Joel Sokol, David Czerwinski, and Feryal Erhun

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The AWARDS Project: Promoting Good Practices in Award Selection, Betty Mayfield and Francis Su

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R₀ Analysis of a Spatiotemporal Model for a Stream Population, H. W. Mckenzie, Y. Jin, Jon T. Jacobsen, and M. A. Lewis

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Locust Dynamics: Behavioral Phase Change and Swarming, Chad M. Topaz, Maria R. D'Orsogna, Leah Edelstein-Keshet, and Andrew J. Bernoff

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Adventures in Teaching: A Professor Goes to High School to Learn about Teaching Math, Darryl H. Yong

Submissions from 2011

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Squaring, Cubing, and Cube Rooting, Arthur T. Benjamin

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Combinatorics of Two-Toned Tilings, Arthur T. Benjamin, Phyllis Chinn, Jacob N. Scott '11, and Greg Simay

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The Combinatorialization of Linear Recurrences, Arthur T. Benjamin, Halcyon Derks, and Jennifer J. Quinn

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Third and Fourth Binomial Coefficients, Arthur T. Benjamin and Jacob N. Scott '11

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A Primer of Swarm Equilibria, Andrew J. Bernoff and Chad M. Topaz

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A Space-Filling, Nonregular Tetrahedron, Margaret Cagle, Joyce Frost, Christine Latulippe, and Darryl H. Yong

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Existence of Solutions for a Wave Equation with Non-monotone Nonlinearity and a Small Parameter, Jose F. Caicedo, Alfonso Castro, and Rodrigo Duque

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Evidence of the Harmonic Faraday Instability in Ultrasonic Atomization Experiments with a Deep, Inviscid Fluid, Andrew P. Higginbotham '09, Aaron Guillen '11, Nathan C. Jones '10, Thomas D. Donnelly, and Andrew J. Bernoff

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Carry Propagation in Multiplication by Constants, Alexander Izsak and Nicholas Pippenger

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Toric Symmetry Of CP3, Dagan Karp, Dhruv Ranganathan, Paul Riggins '12, and Ursula Whitcher

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A Theory for the Hydrodynamic Origin of Whale Flukeprints, Rachel Levy, David Uminsky, Allison Park '11, and John Calambokidis

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Dynamic Server Allocation at Parallel Queues, Susan E. Martonosi

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A New Framework for Network Disruption, Susan E. Martonosi, Doug Altner, Michael Ernst, Elizabeth Ferme, Kira Langsjoen, Danika Lindsay, Sean S. Plott '08, and Andrew S. Ronan

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Flight Delays at RegionEx, Susan E. Martonosi and Amr Farahat

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Characteristics of Optimal Solutions to the Sensor Location Problem, David R. Morrison '08 and Susan E. Martonosi

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Applications of Convex and Algebraic Geometry to Graphs and Polytopes, Mohamed Omar

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Strong Nonnegativity and Sums of Squares on Real Varieties, Mohamed Omar and Brian Osserman

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A Census of Vertices by Generations in Regular Tessellations of the Plane, Alice Paul '12 and Nicholas Pippenger

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On-the-Fly Algorithms and Sequential Machines, Nicholas Pippenger

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Two Extensions of Results of Archimedes, Nicholas Pippenger

Submissions from 2010

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Mathematical Biology at an Undergraduate Liberal Arts College, Stephen C. Adolph and Lisette G. de Pillis

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An Amazing Mathematical Card Trick, Arthur T. Benjamin

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Sums of Evenly Spaced Binomial Coefficients, Arthur T. Benjamin, Bob Chen '10, and Kimberly Kindred

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Combinatorial Trigonometry with Chebyshev Polynomials, Arthur T. Benjamin, Larry Ericksen, Pallavi Jayawant, and Mark Shattuck

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Combinatorially Composing Chebyshev Polynomials, Arthur T. Benjamin and Daniel Walton '07

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Voting in Agreeable Societies, Deborah E. Berg '06, Serguei Norine, Francis E. Su, Robin Thomas, and Paul Wollan

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Stability and Dynamics of Self-Similarity in Evolution Equations, Andrew J. Bernoff and Thomas P. Witelski

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Existence of Solutions for a Semilinear Wave Equation With Non-Monotone Nonlinearity, Alfonso Castro and Benjamin Preskill '09

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Two-Player Envy-Free Multi-Cake Division, John Cloutier '03, Kathryn L. Nyman, and Francis E. Su

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Recognizing Graph Theoretic Properties with Polynomial Ideals, Jesus A. De Loera, Christopher J. HIllar, Peter N. Malkin, and Mohamed Omar

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Self-Similarity in Particle-Laden Flows at Constant Volume, Natalie Grunewald, Rachel Levy, Matthew Mata, Thomas Ward, and Andrea L. Bertozzi

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Local versus Global Search in Channel Graphs, A.H. Hunter and Nicholas Pippenger

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Engineering Flow States with Localized Forcing in a Thin, Marangoni-Driven Inclined Film, Rachel Levy, Stephen Rosenthal '09, and Jeffrey Wong '11

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Estimating Incidence of Vision-Reducing Cataract in Africa, Susan Lewallen, Talithia Williams, Alyssa W. Dray '10, Brian C. Stock, Wanjiku Mathenge, Joseph Oye, John Nkurikiye, Kahaki Kimani, Andreas Müller, and Paul Courtright