Submissions from 2023
Regular solutions to elliptic equations, Alfonso Castro and Jon T. Jacobsen
Stable trace ideals and applications, Haydee Lindo and Hai Long Dao
Submissions from 2021
Infinitely many radial solutions for a p-Laplacian problem with indefinite weight, Alfonso Castro, Jorge Cossio, Sigifredo Herrón, and Carlos Vélez
Submissions from 2018
Numerical Approximation of Diffusive Capture Rates by Planar and Spherical Surfaces with Absorbing Pores, Andrew J. Bernoff and Alan E. Lindsay
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
Infinitely Many Stability Switches in a Problem with Sublinear Oscillatory Boundary Conditions, Alfonso Castro and Rosa Pardo
Existence of solutions to a semilinear elliptic boundary value problem with augmented Morse index bigger than two, Alfonso Castro and Ivan Ventura
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
Mathematics for Human Flourishing, Francis Su
Submissions from 2016
Multi-Year Optimization of Malaria Intervention: A Mathematical Model, Harry J. Dudley, Abhishek Goenka '15, Cesar J. Orellana '17, and Susan E. Martonosi
Cremona symmetry in Gromov-Witten theory, Amin Gholampour, Dagan Karp, and Sam Payne
Gromov–Witten theory of P1×P1×P1, Dagan Karp and Dhruv Ranganathan
Simulating Surfactant Spreading: Impact of a Physically Motivated Equation of State, Dina Sinclair '17, Rachel Levy, and Karen E. Daniels
Freedom through Inquiry, Francis Su
Race, Space, and the Conflict Inside Us, Francis Su
Submissions from 2015
Counting on r-Fibonacci Numbers, Arthur Benjamin and Curtis Heberle
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
Probing the Inverted Classroom: A Study of Teaching and Learning Outcomes in Engineering and Mathematics, Nancy K. Lape, Rachel Levy, and Darryl Yong
Guidelines for Good Mathematical Writing, Francis Su
To the Mathematical Beach, Francis Su
Submissions from 2014
Challenging Magic Squares for Magicians, Arthur Benjamin and Ethan J. Brown
Combinatorial Proofs of Fibonomial Identities, Arthur Benjamin and Elizabeth Reiland
Existence of positive solutions for a superlinear elliptic system with Neumann boundary condition, Alfonso Castro and Juan C. Cardeño
Energy Driven Pattern Formation in Planar Dipole-Dipole Systems in the Presence of Weak Noise, Jaron P. Kent-Dobias '14 and Andrew Bernoff
Aftermath: Every Math Major Should Take a Public-Speaking Course, Rachel Levy
The Scientist–Reporter Collaboration: A Guide to Working with the Press, Rachel Levy, Flora Lichtman, and David L. Hu
Op-Ed: Solve this math problem: The gender gap, Francis Su
Submissions from 2013
Barred Preferential Arrangements, Connor Thomas Ahlbach '13, Jeremy Usatine '14, and Nicholas Pippenger
Nonlocal Aggregation Models: A Primer of Swarm Equilibria, Andrew J. Bernoff and Chad M. Topaz
On Volumes of Permutation Polytopes, Katherine Burggraf, Jesús De Loera, and Mohamed Omar
Existence and Qualitative Properties of Solutions for Nonlinear Dirichlet Problems, Alfonso Castro, Jorge Cossio, and Carlos Vélez
Existence of Seven Solutions for an Asymptotically Linear Dirichlet Problem Without Symmetries, Alfonso Castro, Jorge Cossio, and Carlos Vélez
A Uniqueness Result for a Singular Nonlinear Eigenvalue Problem, Alfonso Castro, Eunkyung Ko, and R. Shivaji
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
A Model of Dendritic Cell Therapy for Melanoma, Lisette G. de Pillis, Angela Gallegos, and Ami E. Radunskaya
Best Practices in Mathematical Modelling, Lisette G. de Pillis and Ami E. Radunskaya
Stochastic Service Systems, Random Interval Graphs and Search Algorithms, Patrick Eschenfeldt '12, Ben Gross '13, and Nicholas Pippenger
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
On a Family of K3 Surfaces with S₄ Symmetry, Dagan Karp, Jacob Lewis, Daniel J. Moore '11, Dmitri Skjorshammer '11, and Ursula Whitcher
Chromatic Bounds on Orbital Chromatic Roots, Dae Hyun Kim, Alexander H. Mun, and Mohamed Omar
Quantitative Approaches to Sustainability Seminars, Rachel Levy
Fault Tolerance in Cellular Automata at Low Fault Rates, Mark McCann and Nicholas Pippenger
B Cell Chronic Lymphocytic Leukemia - A Model with Immune Response, Seema Nanda, Lisette G. de Pillis, and Ami E. Radunskaya
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
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
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
The Lesson of Grace in Teaching, Francis Su
Submissions from 2012
Squaring, Cubing, and Cube Rooting, Arthur T. Benjamin
On the Hardness of Counting and Sampling Center Strings, Christina Boucher and Mohamed Omar
Resonant Solutions and Turning Points in an Elliptic Problem with Oscillatory Boundary Conditions, Alfonso Castro and Rosa Pardo
Uniqueness of Nonnegative Solutions for Semipositone Problems on Exterior Domains, Alfonso Castro, Lakshmi Sankar, and Ratnasingham Shivaji
An Incidence Estimation Model for Multi-Stage Diseases with Differential Mortality, Alyssa W. Dray '10 and Talithia Williams
M.C. Escher Wrap Artist: Aesthetic Coloring of Ribbon Patterns, Ellen Gethner, David G. Kirkpatrick, and Nicholas J. Pippenger
Splitting Fields and Periods of Fibonacci Sequences Modulo Primes, Sanjai Gupta, Parousia Rockstroh '08, and Francis E. Su
Gromov-Witten Theory of P^1 X P^1 X P^1, Dagan Karp and Dhruv Ranganathan
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
Formation of Ocean Surface Patterns by Cetacean Fluke Oscillations, Rachel Levy and David Uminsky
Project-Based ORMS Education, Susan E. Martonosi
Undergraduate Operations Research Prize, Susan E. Martonosi, Joel Sokol, David Czerwinski, and Feryal Erhun
The AWARDS Project: Promoting Good Practices in Award Selection, Betty Mayfield and Francis Su
R₀ Analysis of a Spatiotemporal Model for a Stream Population, H. W. Mckenzie, Y. Jin, Jon T. Jacobsen, and M. A. Lewis
Locust Dynamics: Behavioral Phase Change and Swarming, Chad M. Topaz, Maria R. D'Orsogna, Leah Edelstein-Keshet, and Andrew J. Bernoff
Adventures in Teaching: A Professor Goes to High School to Learn about Teaching Math, Darryl H. Yong
Submissions from 2011
Squaring, Cubing, and Cube Rooting, Arthur T. Benjamin
Combinatorics of Two-Toned Tilings, Arthur T. Benjamin, Phyllis Chinn, Jacob N. Scott '11, and Greg Simay
The Combinatorialization of Linear Recurrences, Arthur T. Benjamin, Halcyon Derks, and Jennifer J. Quinn
Third and Fourth Binomial Coefficients, Arthur T. Benjamin and Jacob N. Scott '11
A Primer of Swarm Equilibria, Andrew J. Bernoff and Chad M. Topaz
A Space-Filling, Nonregular Tetrahedron, Margaret Cagle, Joyce Frost, Christine Latulippe, and Darryl H. Yong
Existence of Solutions for a Wave Equation with Non-monotone Nonlinearity and a Small Parameter, Jose F. Caicedo, Alfonso Castro, and Rodrigo Duque
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
Carry Propagation in Multiplication by Constants, Alexander Izsak and Nicholas Pippenger
Toric Symmetry Of CP3, Dagan Karp, Dhruv Ranganathan, Paul Riggins '12, and Ursula Whitcher
A Theory for the Hydrodynamic Origin of Whale Flukeprints, Rachel Levy, David Uminsky, Allison Park '11, and John Calambokidis
Dynamic Server Allocation at Parallel Queues, Susan E. Martonosi
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
Flight Delays at RegionEx, Susan E. Martonosi and Amr Farahat
Characteristics of Optimal Solutions to the Sensor Location Problem, David R. Morrison '08 and Susan E. Martonosi
Applications of Convex and Algebraic Geometry to Graphs and Polytopes, Mohamed Omar
Strong Nonnegativity and Sums of Squares on Real Varieties, Mohamed Omar and Brian Osserman
A Census of Vertices by Generations in Regular Tessellations of the Plane, Alice Paul '12 and Nicholas Pippenger
On-the-Fly Algorithms and Sequential Machines, Nicholas Pippenger
Two Extensions of Results of Archimedes, Nicholas Pippenger
Submissions from 2010
Mathematical Biology at an Undergraduate Liberal Arts College, Stephen C. Adolph and Lisette G. de Pillis
An Amazing Mathematical Card Trick, Arthur T. Benjamin
Sums of Evenly Spaced Binomial Coefficients, Arthur T. Benjamin, Bob Chen '10, and Kimberly Kindred
Combinatorial Trigonometry with Chebyshev Polynomials, Arthur T. Benjamin, Larry Ericksen, Pallavi Jayawant, and Mark Shattuck
Combinatorially Composing Chebyshev Polynomials, Arthur T. Benjamin and Daniel Walton '07
Voting in Agreeable Societies, Deborah E. Berg '06, Serguei Norine, Francis E. Su, Robin Thomas, and Paul Wollan
Stability and Dynamics of Self-Similarity in Evolution Equations, Andrew J. Bernoff and Thomas P. Witelski
Existence of Solutions for a Semilinear Wave Equation With Non-Monotone Nonlinearity, Alfonso Castro and Benjamin Preskill '09
Two-Player Envy-Free Multi-Cake Division, John Cloutier '03, Kathryn L. Nyman, and Francis E. Su
Recognizing Graph Theoretic Properties with Polynomial Ideals, Jesus A. De Loera, Christopher J. HIllar, Peter N. Malkin, and Mohamed Omar
Self-Similarity in Particle-Laden Flows at Constant Volume, Natalie Grunewald, Rachel Levy, Matthew Mata, Thomas Ward, and Andrea L. Bertozzi
Local versus Global Search in Channel Graphs, A.H. Hunter and Nicholas Pippenger
Engineering Flow States with Localized Forcing in a Thin, Marangoni-Driven Inclined Film, Rachel Levy, Stephen Rosenthal '09, and Jeffrey Wong '11
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