Volume 16, Issue 1, Spring 2015
Articles
Deconstructing the Welch Equation Using π-adic Methods
Authors: Abigail Mann and Adelyn Yeoh
Faculty Sponsor: Josh Holden, Margaret Robinson
Perimeter-minimizing Tilings by Convex and Non-convex Pentagons
Authors: Whan Ghang, Zane Martin, and Steven` Waruhiu
Faculty Sponsor: Frank Morgan
Minimal Number of Steps in the Euclidean Algorithm and its Application to Rational Tangles
Authors: M. Syafiq Johar
Faculty Sponsor: David Gauld
πΈ-ergodicity and Speedups
Authors: Tyler B. George
Faculty Sponsor: David M. McClendon
The Multiplicative Structure of the Group of Units of β€β[π₯]/γπ(π₯)γ where π(π₯) is Reducible
Authors: Erika Gerhold, Jennifer Ferralli, and Jason Jachowski
Faculty Sponsor: Donald Spickler
Lie Matrix Groups: The Flip Transpose Group
Authors: Madeline Christman
Faculty Sponsor: Michael Gagliardo
Optimizing the Allocation of Vaccines in the Presence of Multiple Strains of the Influenza Virus
Authors: Ana Eveler, Tayler Grahel, Abby Kenyon, and Jessica Richardson
Faculty Sponsor: Alex Capaldi
On the Center of Non Relativistic Lie Algebras
Authors: Tyler Gorshing
Faculty Sponsor: Guy Roger Biyogmam
Identifying a Coefficient Matrix for Numerical Approximations to the Wave Equation in Two Dimensions
Authors: Morgan M. Brown
Faculty Sponsor: Jangwoon Lee
On the Mathematics of Utility Theory
Authors: Harshil Sahai
Faculty Sponsor: Linda Chen
First Encounters with Option Pricing and Return Simulation
Authors: Joshua Cape, Willam Dearden, William Gamber, and Linh Nguyen
Faculty Sponsor: Qin Lu
Are circles isoperimetric in the plane with density πΚ³?
Authors: Ping Ngai Chung, Miguel A. Fernandez, Niralle Shah, and Luis Sordo Vieira
Faculty Sponsor: Frank Morgan
Folding concave polygons into convex polyhedra: The L-Shape
Authors: Emily Dinan, Alice Nadeau, and Isaac Odegard
Faculty Sponsor: Kevin Hartshorn
Prime Vertex Labelings of Families of Unicyclic Graphs
Authors: Nathan Diefenderfer, Michael Hastings, Levi N. Heath, Hannah Prawzinsky, Briahna Preston, Emily White, and Alyssa Whittemore
Faculty Sponsor: Dana C. Ernst, Jeff Rushall
An Introduction to the Birch and Swinnerton-Dyer Conjecture
Authors: Brent Johnson
Faculty Sponsor: Robert Styer, Alice Deanin