2013-2014 Research Papers

Quantum Polynomial Ring: Computing the p-polynomials

Author: Nathan Nieman – Anderson University (IN)

Adventures in the Quantum Polynomial Ring: Patterns in the p-polynomials

Author: Maxwell Luetkemeier – Anderson University (IN)

Quantum Polynomial Ring: Longest Word

Author: Joseph Gergory Clarkson – Anderson University (IN)

Bounding the Porous Exponential Domination Number of Apollonian Networks

Authors: Joshua Beverly, Mariah Farley, Christopher McClain, Felicia Stover – Concord University (WV)

Degree 14 p-adic Fields

Authors: Chad Awtrey, Nicole Miles, Jonathan Milstead, Christopher Shill, Erin Strosnider – Elon University (NC)

Galois Groups of Degree 12 2-adic Fields with Trivial Automorphism Group

Authors: Chad Awtrey, Nicole E. Miles, Christopher Shill, Erin Strosnider – Elon University (NC)

Degree 12 2-adic Fields with Trivial Automorphism Group of Order 4

Authors: Chad Awtrey, Brett Barkley, Nicole E. Miles, Christopher Shill, Erin Strosnider – Elon University (NC)

Absolute Resolvents and Masses of Irreducible Quintic Polynomials

Authors: Chad Awtrey, Christopher Shill – Elon University (NC)

A Linear Resolvent for Degree 14 polynomials

Authors: Chad Awtrey, Erin Strosnider – Elon University (NC)

Boundary Condition Analysis of Dynamic Elastic Rods

Author: Charles Crook – James Madison University (VA)

Analysis of a Worm Swimming through a Viscous Liquid

Author: Katie Sipes – James Madison University (VA)

CURM Notes of Nonlinear Dynamics of Filaments in Free Space and Fluids

Author: Vicky Kelley – James Madison University (VA)

Weighing things uniquely: Perfect partitions and their generalizations

Authors: Maria R. Annone, Deelan M. Jalil, Traymon E. Beavers – James Madison University (VA)

Dominating Sets in Cay(Zn, {±1, ±3, …, ±2k – 1})

Authors: Joe DeMaio, Matt Force, Jon Woltz – Kennesaw State University (GA)

Variations on Failed Zero Forcing in Graphs

Author: Jaime Penzellna – National Technical Institute for the Deaf, Rochester Institute of Technology (NY)

Introduction to Failed Zero-Forcing

Author: Daniel Saavedra – National Technical Institute for the Deaf, Rochester Institute of Technology (NY)

Research Progress on Skew Zero Forcing Set

Author: Thomas Ansill – National Technical Institute for the Deaf, Rochester Institute of Technology (NY)

Maps and Mirrors

Authors: Daniel Carroll, Nora Stack, Caroline Van Blargan – St. Mary’s College of Maryland (MD)

Equitable Mirrors

Authors: Casey Douglas, Emek Kose, Nora Stack, Caroline Van Blargan

Menger Curvature Flow for Quadrilaterals

Authors: Ben Castle, Jonathan Krein, Jesse Moeller, Abbie Parker – University of Northern Iowa (IA)

Solvability of Systems of Polynomial Equations over Finite Fields

Authors: Ramon L. Collazo, Julio J. de la cruz, Daniel E. Ramirez – University of Puerto Rico, Rio Piedras (PR)

Generating Permutation Trinomials over Finite Fields

Authors: Christian A. Rodriguez, Alex D. Santos – University of Puerto Rico, Rio Piedras (PR)

Exploring properties of the Cayley graphs Cay(Z, {±2n}) and Cay(Z, {±3n})

Authors: Daniel L. Gulbrandsen, Daniel M. Adams, Kristen D. Smith – Utah Valley University (UT)