Faculty publications from the Math Department at Gettysburg College.

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2023

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Periodic, Nonperiodic, and Chaotic Solutions for a Class of Difference Equations with Negative Feedback, Benjamin B. Kennedy

The Power of Weak, Transient Interactions Across Biology: A Paradigm of Emergent Behavior, Paula A. Vasquez, Ben Walker, Kerry Bloom, Daniel Kolbin, Neall Caughman, Ronit Freeman, Martin Lysy, Caitlin Hult, Katherine A. Newhall, Micah Papanikolas, Christopher Edelmaier, and M. Gregory Forest

2022

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A Method for Estimating Songbird Abundance with Drones, Andrew M. Wilson, Darren Glass, Marisa A. Immordino, Precious S. Ozoh, Lauren Sherman, and McKenzie D. Somers

2021

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Neutrophil Dynamics Affect Mycobacterium tuberculosis Granuloma Outcomes and Dissemination, Caitlin Hult, Joshua T. Mattila, Hannah P. Gideon, Jennifer J. Linderman, and Denise E. Kischner

2020

Arithmetical Structures on Bidents, Kassie Archer, Abigail C. Bishop, Alexander Diaz-Lopez, Luis D. García Puente, Darren B. Glass, and Joel Louwsma

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Multiparty Non-Interactive Key Exchange and More From Isogenies on Elliptic Curves, Dan Boneh, Darren B. Glass, Daniel Krashen, Kristin Lauter, Shahed Sharif, Alice Silverberg, Mehdi Tibouchi, and Mark Zhandry

Chip-Firing Games and Critical Groups, Darren B. Glass and Nathan Kaplan

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Arithmetical Structures on Paths With a Doubled Edge, Darren B. Glass and Joshua R. Wagner

2019

Chutes and Ladders without Chutes or Ladders, Darren B. Glass, Stephen K. Lucas, and Jonathan S. Needleman

2018

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Counting Arithmetical Structures on Paths and Cycles, Benjamin Braun, Hugo Corrales, Scott Corry, Luis David Garcia Puente, Darren B. Glass, Nathan Kaplan, Jeremy L. Martin, Gregg Musiker, and Carlos E. Valencia

2017

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On a Frobenius Problem for Polynomials, Ricardo Conceição, R. Gondim, and M. Rodriguez

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Klein Four Actions on Graphs and Sets, Darren B. Glass

2016

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Cyclic Critical Groups of Graphs, Ryan P. Becker and Darren B. Glass

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Critical Groups of Graphs with Dihedral Actions II, Darren B. Glass

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Let's Nurture Science, Math Talent, Darren B. Glass

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Life After Calculus: 20 Years Later, Darren B. Glass

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The Power of X, Darren B. Glass

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A Three-Fold Approach to the Heat Equation: Data, Modeling, Numerics, Kimberly R. Spayd and James G. Puckett

2015

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Sandpiles, Spanning Trees, and Plane Duality, Melody Chan, Darren B. Glass, Matthew Macauley, David Perkinson, Caryn Werner, and Qiaoyu Yang

Fuchs’ Problem for Indecomposable Abelian Groups, Sunil K. Chebolu and Keir H. Lockridge

Characterizations of Mersenne and 2-Rooted Primes, Sunil K. Chebolu, Keir H. Lockridge, and Gaywalee Yamskulna

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Sophie Germain Primes and Involutions of Znx, Karenna Genzlinger and Keir H. Lockridge

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Book Review: How to Bake Pi: An Edible Exploration of the Mathematics of Mathematics, Darren B. Glass

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Math Quiz on the Radio, Darren B. Glass

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On Pi Day, A Serving of Why We Need Math, Darren B. Glass

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Optimal Defensive Strategies in One-Dimensional RISK, Darren B. Glass and Todd W. Neller

Traveling Waves for Conservation Laws with Cubic Nonlinearity and BBM Type Dispersion, Michael Shearer, Kimberly R. Spayd, and Ellen R. Swanson

2014

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Reducing the Effects of Unequal Number of Games on Rankings, T. P. Chartier, J. Harris, K. R. Hutson, A. N. Langville, D. Martin, and Charles D. Wessell

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Chutes and Ladders with Large Spinners, Darcie E. Connors and Darren B. Glass

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A Frobenius Question Related to Actions on Curves in Characteristic P, Darren B. Glass

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Composition of Integers with Bounded Parts, Darren B. Glass

Critical Groups of Graphs with Dihedral Actions, Darren B. Glass and Criel Merino

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Symmetric Periodic Solutions for a Class of Differential Delay Equations with Distributed Delay, Benjamin B. Kennedy

Soliton Perturbation Theory of Biswas-Milovic Equation, Russell Kohl, Ramazan Tinaztepe, and Abhinandan Chowdhury

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On the Stochastic Burgers Equation with Moving Boundary, Pablo Suarez and Abhinandan Chowdhury

2013

An Invitation to Abstract Mathematics, Bela Bajnok

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Pointless Hyperelliptic Curves, Ryan P. Becker and Darren B. Glass

A First-Year Seminar on Cryptography, Darren B. Glass

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Coble and Eisenhart: Two Gettysburgians Who Led Mathematics, Darren B. Glass

The Secretary Problem from the Applicant's Point of View, Darren B. Glass

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A State-Dependent Delay Equation with Negative Feedback and ‘Mildly Unstable’ Rapidly Oscillating Periodic Solutions, Benjamin B. Kennedy

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Solitary Wave and Shock Wave Solutions of the Variants of Boussinesq Equations, Houria Triki, Abhinandan Chowdhury, and Anjan Biswas

2012

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A Fast-Slow Analysis of the Dynamics of REM Sleep, Victoria Booth and Cecilia G. Diniz Behn

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Communal Partitions of Integers, Darren B. Glass

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Non-Genera of Curves With Automorphisms in Characteristic P, Darren B. Glass

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Solving the Debt Crisis on Graphs - Solutions, Darren B. Glass

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The Secretary Problem from the Applicant's Point of View, Darren B. Glass

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Stochastic Data Clustering, Carl D. Meyer and Charles D. Wessell

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270: How to Win the Presidency with Just 17.56% of the Popular Vote, Charles D. Wessell

2011

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A Nonnegative Analysis of Politics, Tim Chartier and Charles D. Wessell

Modeling the Temporal Architecture of Rat Sleep-Wake Behavior, Cecilia G. Diniz Behn and V. Booth

Multiple Signals from the Suprachiasmatic Nucleus Required for Circadian Regulation of Sleep-Wake Behavior in the Nocturnal Rat, M. Fleshner, V. Booth, D. Forger, and Cecilia G. Diniz Behn

2010

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Curve Interpolation and Coding Theory, Darren B. Glass

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Codes from Riemann-Roch Spaces for Y2 = Xp - X over GF(P), Darren B. Glass, David Joyner, and Amy Ksir

2009

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The 2-Ranks of Hyperelliptic Curves with Extra Automorphisms, Darren B. Glass

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Galois Structure and De Rhan Invariants of Elliptic Curves, Darren B. Glass and Sonin Kwon

2008

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Klein-Four Covers of the Projective Line in Characteristic Two, Darren B. Glass

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PREP Workshop Report: Expository Writing, Darren B. Glass

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Quasigeometric Distributions and Extra Inning Baseball Games, Darren B. Glass and Philip J. Lowry

2004

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I Don't Care If I Ever Get Back: Marathons Lasting 20 or More Innings, Phil Lowry and Darren B. Glass

2003

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Fair-Weather Fans: The Correlation Between Attendance and Winning Percentage, Darren B. Glass

2002

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Embedding Problems and Finite Quotients, Ted Chinburg and Darren B. Glass