Comps, honors papers, and prize-winning works of the Mathematics and Statistics Department are featured here. All works have been self-submitted by the student authors. Descriptive information about each work is available to search or browse. Access to the full text of the works is limited to current Carleton affiliates with faculty permission. Learn more about how to submit your work and how to request access to the full text of works.
Submissions from 2015
Larkin Hafer Flodin, Mathematics (MATH) 2015, The Unsolvability of the Word Problem
Matt Godfrey, Will Salon, Preston Carlisle, and Wenth Wang, Mathematics (MATH) 2015, Spatial Economics through a Mathematical Lens: City Structure and the Breakdown of General Equilibrium
Nami Sumida, Jordy Cammarota, Kan Wang, and John Lee, Mathematics (MATH) 2015, Measuring Fractal Sets
Zachary William Walsh, Mathematics (MATH) 2015, A Property of the Number Six
Kathy Yu, Crystal Lai, and Benjamin Russell, Mathematics (MATH) 2015, A solution to the arithmetic problem of finding a number which, divided by given numbers, leaves behind given remainders [translated from the original Latin by Carleton math students]
Submissions from 2014
Trey Aaron Brademan, Sakr Hanan Abo, Michelle Dano Yuen, and Benjamin Kibort Breen, Mathematics (MATH) 2014, abcd...EFG - Ideal Behavior in Fields Relating to Iterated Polynomials
Sophia Catherine Davis, Peter Danforth Briggs, Hilary Curtis Marshall, and Huaiyu Wang, Mathematics (MATH) 2014, Measuring the Mississippi
Katrina Ann Harper, Rachel Ann Ewing, Samuel Ihlenfeldt, and David Stillerman, Mathematics (MATH) 2014, Predictors of Alcohol Use for College Students: A Social Network Approach
Gregory Michel, Kailee Rubin, Ben Caffrey, and Steegh Jonathan Ver, Mathematics (MATH) 2014, Baxter Permutations, Snow Leopard Permutations, and Domino Tilings of Aztec Diamonds
Yan Sun, Mathematics (MATH) 2014, Fourier Analysis in Hilbert Space and An Introduction to Abstract Linear Operator Theory
Submissions from 2013
Milan William Cvitkovic, Mathematics (MATH) 2013, Self-Avoiding Random Walks
Andy Hardt, Pete McNeely, Tung Nguyen Viet Phan, and Justin M. Troyka, Mathematics (MATH) 2013, Combinatorial Species and Graph Enumeration
Asim Viladi Oglu Manizada, Mathematics (MATH) 2013, Generalized Cantor Sets: The Size and The Contents
Laurel Jeffers Orr and Xin Chen, Mathematics (MATH) 2013, Elliptic Functions and Modular Forms
Yansong Pang, Megan Mary Bakkens, Cassie Mullen, and Wenli Rui, Mathematics (MATH) 2013, The Effect of Spinning Machine Speed on Performance of Yarn
Benjamin Adam Strasser, Leo Christopher Olivares, Daoji Huang, and Adam Edward Zweber, Mathematics (MATH) 2013, Plane Trees and Shabat Polynomials
Roy James Wiggins, Matthew James Cusworth Rathkey, and Chelsea Elizabeth Yost, Mathematics (MATH) 2013, Polya Urn Models
David Zelle, Mathematics (MATH) 2013, Stein's Paradox and Bayesian Estimation
Submissions from 2012
Michael Cohen Alexander, Tanner Martin, and Scarlett Tse, Mathematics (MATH) 2012, Counting Moose: A Bayesian Model for Population Estimation
Benjamin Robert Anderson, Erika Rose Warrick, and Kathleen Marie Storey, Mathematics (MATH) 2012, The Medial Axis and its Applications
Russell Joseph Buehler, Mathematics (MATH) 2012, Hilbert's Tenth
Prasit Dhakal, Aman Gupta, and Ben Langfeldt, Mathematics (MATH) 2012, Statistical Analyses of Zooplankton Populations in Lakes in Minnesota
Cory Edward Fauver, Michael William Coughlin, Brian Andrew James, and Jon Anthony Aranda, Mathematics (MATH) 2012, Solitons
Frank Abraham Firke and Abram Zachary Jopp, Mathematics (MATH) 2012, Congruence Subgroups and Symmetry in the Poincaré Upper Half-Plane
Jonathan Hahn, Rebecca Cordes, and Collin Hazlett, Mathematics (MATH) 2012, Visualizing the Hecke Group: Fractions and Wallpaper Symmetry in Hyperbolic Space
Isaac A. Hodes, Mathematics (MATH) 2012, Counting Below the Curve: Combinatorial Proofs of Integral Formulas
Erin Michael Jones, Erika Denise Mackin, and Kian Anton Flynn, Mathematics (MATH) 2012, Voting Theory and Cake Cutting
Submissions from 2011
Cory Pate Barnes, Michael Phan Knudson, and Thomas William McCauley, Mathematics (MATH) 2011, PDE Solutions and Cauchy-Riemann Geometry
Amy Becker, Lillian Naomi Betke-Brunswick, and Anna Zink, Mathematics (MATH) 2011, Plane partitions
Andrew Thomas Bergman, Akinboye Ibiyemi Akinwande, Mary Elizabeth Cross, and Veronica Tan, Mathematics (MATH) 2011, Tic-Tac-Toe with a Twist
Gabriel Talbot Davis, Aaron Maurer, and Julie Michelman, Mathematics (MATH) 2011, An Open Problem in the Combinatorics of Macdonald Polynomials
Alex John Evangelides, Samuel Vaughn Tucker, Mary Ellen Bushman, and Nathan Mark King, Mathematics (MATH) 2011, The Combinatorics of Symmetric Functions: (3 + 1)-free Posets and the Poset Chain Conjecture
Qi Li, Chen Sun, and Jeremy Grevet, Mathematics (MATH) 2011, DNA Recombination: Looking at a Biological Process through the Lens of Knot Theory
Andrew Douglas Mering, Christopher Daniel Wilen, Celine Annabelle Yeh, and Hang Thi Viet Nguyen, Mathematics (MATH) 2011, Dynamics of Pulse-Coupled Integrate-and-Fire Oscillators
James Martin Munson and Elizabeth Collins-Wildman, Mathematics (MATH) 2011, Munshi's Theorem: Zero Places and Infinite Spaces
Submissions from 2010
Chrisna Aing, Sarah Halls, and Kiva Oken, Mathematics (MATH) 2010, Using Occupancy Theory and Hierarchical Models to Estimate Otter Population in Southeastern Minnesota
Erica Rochelle Chesley, Zachary Starer-Stor, and Emma Zhou, Mathematics (MATH) 2010, A Finite Simple Puzzle of Order 44,352,000
Grace Allsman Elwell, Henry Heitzer, and Erik Williams, Mathematics (MATH) 2010, Synchronicity of Biological Oscillators
Tomoki Isogai, Mathematics (MATH) 2010, Differences Between Single and Several Complex Variable Analysis
Becky Jean Patrias, Matthew Bernard Cordes, Beatrice Burlingame White, and Zheng Zhu, Mathematics (MATH) 2010, Shadows of the Cantor Set
Submissions from 2009
Hannah L. Breckbill, Aparna Dua, Luke B. Hankins, and Robert W. Trettin, Mathematics (MATH) 2009, Challenge Math -- 2nd grade
Christina Knudson, Edward Kuhn, and Bassirou Sarr, Mathematics (MATH) 2009, A Bayesian spatial temporal model of ozone
David Lonoff and Daniel McDonald, Mathematics (MATH) 2009, Bijective proofs: a comprehensive exercise
Ryan Andrew Smith and Yuan Tian, Mathematics (MATH) 2009, Analytic proof of the prime number theorem
