Submissions from 2013
Barred Preferential Arrangements, Connor Thomas Ahlbach, Jeremy Usatine, and Nicholas Pippenger
Existence and Qualitative Properties of Solutions for Nonlinear Dirichlet Problems, Alfonso Castro, Jorge Cossio, and Carlos Vélez
Mathematical Modeling of the Regulatory T Cell E ffects 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, Ben Gross '13, and Nicholas Pippenger
Computational Aspects of M.C. Escher’s Ribbon Patterns, Ellen Gethner, David G. Kirkpatrick, and Nicholas Pippenger
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
Submissions from 2012
How Muscles Function - The Work Loop Technique, Anna N. Ahn
Squaring, Cubing, and Cube Rooting, Arthur T. Benjamin
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
Methods for Estimating Peak Physiological Performance and Correlating Performance Measures, Austen Head '08, Johanna S. Hardin, and Stephen C. Adolph
Methods for Estimating Peak Physiological Performance and Correlating Performance Measures, Austen Head '08, Johanna S. Hardin, and Stephen C. Adolph
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
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
Variability of Neural Activation During Walking in Humans: Short Heels and Big Calves, Anna N. Ahn, J K. Kang, Marissa A. Quitt, B D. Davidson, and C T. Nguyen
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
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, N. Jones, T.D. Donnelly, and Andrew J. Bernoff
Carry Propagation in Multiplication by Constants, Alexander Izsak and Nicholas Pippenger
A Theory for the Hydrodynamic Origin of Whale Flukeprints, Rachel Levy, David Uminsky, Allison Park, 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
Latitudinal and Climatic Variation in Body Size and Dorsal Scale Counts in Sceloporus Lizards: A Phylogenetic Perspective, Christopher E. Oufiero, Gabriel E.A. Gartner, Stephen C. Adolph, and Theodore Garland Jr.
A Census of Vertices by Generations in Regular Tessellations of the Plane, 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
Stability and Dynamics of Self-Similarity in Evolution Equations, Andrew J. Bernoff and Thomas P. Witelski
The Contributions of Evolutionary Divergence and Phenotypic Plasticity to Geographic Variation in the Western Fence Lizard, Sceloporus Occidentalis, Christine R. Buckley, Duncan J. Irschick, and Stephen C. Adolph
Existence of Solutions for a Semilinear Wave Equation With Non-Monotone Nonlinearity, Alfonso Castro and Benjamin Preskill '09
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, and Jeffrey Wong
"Toward Integration: From Quantitative Biology to Mathbio-Biomath?", Pat Marsteller, Lisette G. de Pillis, Ann Findley, Karl Joplin, John Pelesko, Karen Nelson, Katerina Thompson, David Usher, and Joseph Watkins
Sex, Mixability, and Modularity, Nicholas Pippenger
The Hypercube of Resistors, Asymptotic Expansions, and Preferential Arrangements, Nicholas Pippenger
Large Deviations and Moments for the Euler Characteristic of a Random Surface, Nicholas Pippenger and Kevin Fleming
Effective Collaborations to Support Transformative Research, Jeffrey G. Ryan and Lisette G. de Pillis
Kinematic Evidence for Superfast Locomotory Muscle in Two Species of Teneriffiid Mites, Grace C. Wu, Jonathan C. Wright, Dwight L. Whitaker, and Anna N. Ahn
Submissions from 2009
Ta Da! (A Magical Math Pop Quiz), Arthur T. Benjamin
Ted Talk: Arthur Benjamin's Formula for Changing Math Education, Arthur T. Benjamin
Compression Theorems for Periodic Tilings and Consequences, Arthur T. Benjamin, Alex K. Eustis, and Mark A. Shattuck
Counting on Chebyshev Polynomials, Arthur T. Benjamin and Daniel Walton
Asymptotic Dynamics of Attractive-Repulsive Swarms, Andrew J. Bernoff
Gasous Hole Closing in a Polymer Langmuir Monolayer, Andrew J. Bernoff
A Semilinear Wave Equation with Smooth Data and No Resonance Having No Continuous Solution, Jose F. Caicedo and Alfonso Castro
The Initial and Final States of Electron and Energy Transfer Processes: Diabatization as Motivated by System-Solvent Interactions, Robert J. Cave
Voting, the Symmetric Group, and Representation Theory, Zajj Daugherty, Alexander K. Eustis, Gregory Minton, and Michael E. Orrison
Mathematical Model Creation for Cancer Chemo-Immunotherapy, Lisette G. de Pillis, K Renee Fister, Weiqing Gu, Craig Collins, Michael Daub, David Gross '08, James Moore '07, and Benjamin Preskill '09
A preliminary mathematical model of skin dendritic cell trafficking and induction of T cell immunity, Amy H. Lin Erickson, Alison Wise, Stephen Fleming, Margaret Baird, Zabeen Lateef, Annette Molinaro, Miranda Teboh-Ewungkem, and Lisette G. de Pillis
Thermal Links for the Implementation of an Optical Refrigerator, John Parker, David Mar, Steven Von der Porten, John Hankinson, Kevin Byram, Chris Lee, Michael K. Mayeda, Richard C. Haskell, Qimin Yang, Scott R. Greenfield, and Richard I. Epstein
Stability of Traveling Waves in Thin Liquid Films Driven by Gravity and Surfactant, Ellen Peterson, Michael Shearer, Thomas P. Witelski, and Rachel Levy
Attribute estimation and testing quasi-symmetry, Nicholas Pippenger and Krzysztof Majewski
Sum Rules and Universality in Electron-modulated Acoustic Phonon Interaction in a Free-standing Semiconductor Plate, Shigeyasu Uno, Darryl H. Yong, and Nobuya Mori
Submissions from 2008
Estimating Maximum Performance: Effects of Intraindividual Variation, Stephen C. Adolph and Trevor Pickering '05
Uniqueness of Large Radial Solutions and Existence of Nonradial Solutions for a Superlinear Dirichlet Problem in Annulii, Hugo Aduén, Alfonso Castro, and Jorge Cossio
The 99th Fibonacci Identity, Arthur T. Benjamin, Alex K. Eustis, and Sean S. Plott '08
A Combinatorial Approach to Fibonomial Coefficients, Arthur T. Benjamin and Sean S. Plott '08
Tiling Proofs of Recent Sum Identities Involving Pell Numbers, Arthur T. Benjamin, Sean S. Plott '08, and James A. Sellers
An Alternate Approach to Alternating Sums: A Method to DIE for, Arthur T. Benjamin and Jennifer J. Quinn
Paint it Black -- A Combinatorial Yawp, Arthur T. Benjamin, Jennifer J. Quinn, James A. Sellers, and Mark A. Shattuck
Computer Modeling and Analysis of Thermal Link Performance for an Optical Refrigerator, Kevin Byram, David Mar, John Parker, Steven Von der Porten, John Hankinson, Chris Lee, Kai Mayeda, Richard C. Haskell, Qimin Yang, Scott R. Greenfield, and Richard I. Epstein
The Art of Teaching Mathematics, Garikai Campbell, Jon T. Jacobsen, Aimee S A Johnson, and Michael E. Orrison Jr.
Constructing Diabatic States from Adiabatic States: Extending Generalized Mulliken–Hush to Multiple Charge Centers with Boys Localization, Robert J. Cave
Are Engineering Schools Masculine and Authoriarian? The Mission Statements Say Yes, Emmeline G. de Pillis and Lisette G. de Pillis
Optimal Control of Mixed Immunotherapy and Chemotherapy of Tumors, Lisette G. de Pillis, K Renee Fister, Weiqing Gu, Tiffany Head '06, Kenny Maples '06, Todd Neal, Anand Murugan, and Kenji Kozai '08
Borda Meets Pascal, Marie K. Jameson, Gregory Minton, and Michael E. Orrison
Designs and Optical Tests of Thermal Links for an Optical Refrigerator, John Parker, David Mar, Steven Von der Porten, John Hankinson, Kevin Byram, Chris Lee, Kai Mayeda, Richard C. Haskell, Qimin Yang, Scott R. Greenfield, and Richard I. Epstein
Systematic mistakes are likely in bounded optimal decision-making systems, Nicholas Pippenger and Adi Livnat
Fault Tolerance in Cellular Automata at High Fault Rates, Nicholas Pippenger and Mark McCann
A Model for Rolling Swarms of Locusts, Chad M. Topaz, Andrew J. Bernoff, Sheldon Logan '06, and Wyatt Toolson '07
Mathematics of Voting, Darryl H. Yong
Imagine Math Day: Encouraging Secondary School Students and Teachers to Engage in Authentic Mathematical Discovery, Darryl H. Yong and Michael E. Orrison Jr.
Evolutionarily conserved thermal biology across continents: The North American lizard Plestiodon gilberti (Scincidae) compared to Asian Plestiodon, Mina K. Youssef, Stephen C. Adolph, and Jonathan Q. Richmond
Submissions from 2007
Is a Basketball Free-throw Sequence Nonrandom? A Group Exercise for Undergraduate Statistics Students, Stephen C. Adolph
Domain Relaxation in Langmuir Films, James C. Alexander, Andrew J. Bernoff, Elizabeth K. Mann, J. Adin Mann Jr., Jacob R. Wintersmith '06, and Lu Zou
Behavioural Plasticity in an Ecological Generalist: Microhabitat Use by Western Fence Lizards, Dee A. Asbury and Stephen C. Adolph
The Probability of Relatively Prime Polynomials, Arthur T. Benjamin and Curtis D. Bennet
Fibonacci Deteminants - A Combinatorial Approach, Arthur T. Benjamin, Naiomi T. Cameron, and Jennifer J. Quinn
Solution to Problem 1751, A Combinatorial Identity, Arthur T. Benjamin and Andrew Carman
A Combinatorial Proof of Vandermonde's Determinant, Arthur T. Benjamin and Gregory P. Dresden
A Combinatorial Solution to Intertwined Recurrences, Arthur T. Benjamin and Michael D. Hirschhorn
Recounting Determinants for a Class of Hessenberg Matrices, Arthur T. Benjamin and Mark A. Shattuck