The Mathematics Department currently has 14 full-time faculty members and approximately 50 mathematics majors. Parallel to the mission of the university in its vision and purpose, our faculty is committed to teaching excellence and providing an appropriate mathematical background to all University students. The strengths of the department include small class sizes in developmental and major courses, emphasis on student/faculty interaction, and classroom instruction utilizing relevant software and technology.

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Submissions from 2023

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Fat Delta 2: Functorial Subgroups of Topological Abelian Groups, Dikran Dikranjan, Wayne Lewis, Peter Loth, and Adolf Mader

Submissions from 2022

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Hyperbolic Basketball, Bernadette Boyle, Andrew Lazowski, and Michael Watt

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A Distinguished Subgroup of Compact Abelian Groups, Dikran Dikranjan, Wayne Lewis, Peter Loth, and Adolf Mader

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Sequences of Porous Sets and an Application to Kleinian Groups, Andrew Lazowski

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Evolutionary Kuramoto Dynamics, Elizabeth A. Tripp, Feng Fu, and Scott D. Pauls

Submissions from 2021

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A Geometric Project for a Linear Algebra Class, Rachel Andriunas, Bernadette Boyle, and Andrew Lazowski

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Upward-Closed Hereditary Families In The Dominance Order, Michael D. Barrus and Jean A. Guillaume

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Global Dynamics of Generalized Second-Order Beverton–Holt Equations of Linear and Quadratic Type, Elliott J. Bertrand and Mustafa R. S. Kulenović

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Implementing Online Programs in Gateway Mathematics Courses for Students with Prerequisite Deficiencies, Elliott J. Bertrand, David T. McArdle, Lubos Thoma, and Li Wu

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The Main Decomposition of Finite-Dimensional Protori, Wayne Lewis, Peter Loth, and Adolf Mader

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Revisiting the Tripartite Council Model: Considering the Collaborative Possibilities between the Colleges of Arts and Sciences and Education, René Roselle, Robin E. Hands, Kelly L. Marino, Cara E. Kilgallen, and Julianne M. Howard

Submissions from 2020

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Exceptional Points for Finitely Generated Fuchsian Groups of the First Kind, Joseph Fera and Andrew Lazowski

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Free Subgroups with Torsion Quotients and Profinite Subgroups with Torus Quotients, Wayne Lewis, Peter Loth, and Adolf Mader

Submissions from 2019

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Abelian Groups: Structures and Classifications, Carol Jacoby and Peter Loth

Submissions from 2018

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Global Dynamic Scenarios for Competitive Maps in the Plane, Elliott J. Bertrand and M.R.S. Kulenovic

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Global Dynamics of Higher-Order Transcendental-Type Generalized Beverton–Holt Equations, Elliott J. Bertrand and M.R.S. Kulenovic

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The Effects on Monotonicity when Combining Alternative Vote with Plurality, Andrew Lazowski and Stephen M. Shea

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A Tight Upper Bound on the Spectral Radius of Bottleneck Matrices for Graphs, Jason J. Molitierno

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Entries of the Group Inverse of the Laplacian Matrix for Generalized Johnson Graphs, Jason J. Molitierno

Submissions from 2017

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The Classification of Infinite Abelian Groups with Partial Decomposition Bases in L∞ω, Carol Jacoby and Peter Loth

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An Upper Bound on the Algebraic Connectivity of Outerplanar Graphs, Jason J. Molitierno

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Forms of Knowledge of Advanced Mathematics for Teaching, Julianna Connelly Stockton and Nick Wasserman

Submissions from 2016

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Partial Decomposition Bases and Global Warfield Groups, Carol Jacoby and Peter Loth

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The Classification of Zp -modules with Partial Decomposition Bases in L∞ω, Carol Jacoby and Peter Loth

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Mathematics Without Calculations – It’s a Beautiful Thing!, Jason J. Molitierno

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Evaluating the Impact of Curriculum Infusion on US College Students’ Alcohol Use and Academic Performance, Jessica Samuolis, Andrew Lazowski, and Janice Kessler

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European Special Schools, Julianna Connelly Stockton

Submissions from 2015

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The Unimodality of Pure O-Sequences of Type Two in Four Variables, Bernadette Boyle

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Which Came First, the Mutation or the Antibiotic?: Understanding Antibiotic Resistance Through Fluctuation Analysis, Suzanne M. Deschênes, Rosemary Danaher, and Hema Gopalakrishnan

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Pure Injective and *-pure Injective LCA Groups, Peter Loth

Submissions from 2014

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The Unimodality of Pure O-sequences of Type Three in Three Variables, Bernadette Boyle

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Mat-Rix-Toe: Improving Writing Through A Game-Based Project In Linear Algebra, Adam Graham-Squire, Elin Farnell, and Julianna Connelly Stockton

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Partial Decomposition Bases and Warfield Modules, Carol Jacoby and Peter Loth

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Zp-Modules with Partial Decomposition Bases in L δ ∞ω, Carol Jacoby and Peter Loth

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An Explicit Construction of Kleinian Groups With Small Limit Sets, Andrew Lazowski

Submissions from 2013

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Conditions for Infinitely Generated Kleinian Groups with Small Limit Sets, Andrew Lazowski

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A Case Study in Elementary Statistics: The Florida Panther Population, Andrew Lazowski and Geffrey F. Stopper

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Mathematics in Conservation: The Case of the Endangered Florida Panther, Geffrey F. Stopper and Andrew Lazowski

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Horizon Content Knowledge in the Work of Teaching: A Focus on Planning, Nick Wasserman and Julianna Connelly Stockton

Submissions from 2012

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Abelian Groups with Partial Decomposition Bases in Lδ∞ω, Part I, Carol Jacoby, Katrin Leistner, Peter Loth, and Lutz Strungmann

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Abelian Groups with Partial Decomposition Bases in Lδ∞ω, Part II, Carol Jacoby and Peter Loth

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Finite Factors of Bernoulli Schemes and Distinguishing Labelings of Directed Graphs, Andrew Lazowski and Stephen M. Shea

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Applications of Combinatorial Matrix Theory to Laplacian Matrices of Graphs, Jason J. Molitierno

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Mathematical Competitions in Hungary: Promoting a Tradition of Excellence & Creativity, Julianna Connelly Stockton

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Instructor Use of Tablet PCs in a College Pre-Calculus Course: Implementation & Assessment, Julianna Connelly Stockton and Peter Gregory

Submissions from 2011

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The Unimodality of Pure O-Sequences of Type Three in Three Variables, Bernadette Boyle

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Infinitary Equivalence of Zp- Modules with Nice Decomposition Bases, Rüdiger Göbel, Katrin Leistner, Peter Loth, and Lutz Strüngmann

Submissions from 2010

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Education of Mathematically Talented Students in Hungary, Julianna Connelly Stockton

Submissions from 2009

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An A1 Function that is not in Lipα for any Positive α, Ryan Mullen

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On Determining Paint by Numbers Puzzles with Nonunique Solutions, Ryan Mullen

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Hungary and the United States: A Comparison of Gifted Education, Julianna Connelly Stockton

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Hungary, Slovakia, and Romania: International Relations Examined Through Minority Language Education, Julianna Connelly Stockton

Submissions from 2008

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The Spectral Radius of Submatrices of Laplacian Matrices for Graphs with Cut Vertices, Jason J. Molitierno

Submissions from 2006

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On T-Pure and Almost Pure Exact Sequences of LCA Groups, Peter Loth

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Pure Extensions of Locally Compact Abelian Groups, Peter Loth

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On the Algebraic Connectivity of Graphs as a Function of Genus, Jason J. Molitierno

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Current Challenges in Autonomous Vehicle Development, Julianna Connelly Stockton, W. S. Hong, R. B. Mahoney, and D. A. Sparrow

Submissions from 2005

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On Graphs whose Laplacian Matrices have Distinct Integer Eigenvalues, Shaun M. Fallat, Stephen J. Kirkland, Jason J. Molitierno, and Michael Neumann

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Compact Topologically Torsion Elements of Topological Abelian Groups, Peter Loth

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The Spectral Radius of Submatrices of Laplacian Matrices for Trees and Its Comparison to the Fiedler Vector, Jason J. Molitierno

Submissions from 2004

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Primitive Ideals of Semigroup Graded Rings, Hema Gopalakrishnan

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Think-Share-Write: An Effective Strategy for Group Quizzes, Hema Gopalakrishnan

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On Operations in which Graphs are Appended to Trees, Jason J. Molitierno and Michael Neumann

Submissions from 2003

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The Structure of Residuated Lattices, Kevin K. Blount and Constantine Tsinakis

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On Pure Subgroups of Locally Compact Abelian Groups, Peter Loth

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On Trees with Perfect Matchings, Jason J. Molitierno and Michael Neumann

Submissions from 2002

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Parameters Affecting Partitioning of 6 PCB Congeners in Natural Sediments, Eid A. Alkhatib and Carl Weigand

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Uncertainty Principles as Embeddings of Modulation Spaces, Yevgeniy V. Galperin and Karlheinz Gröchenig

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pi-Regularity of Semigroup Graded Rings, Hema Gopalakrishnan

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On Graphs with Equal Algebraic and Vertex Connectivity, Stephen J. Kirkland, Jason J. Molitierno, Michael Neumann, and Bryan L. Shader

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A Density Property of the Tori and Duality, Peter Loth

Submissions from 2001

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On the Index of Nilpotency of Semigroup Graded Rings, Hema Gopalakrishnan

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The Sharpness of a Lower Bound on the Algebraic Connectivity for Maximal Graphs, Stephen J. Kirkland, Jason J. Molitierno, and Michael Neumann

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Topologically Pure Extensions, Peter Loth

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Coefficient of Ergodicity Type Bounds for the Algebraic Connectivity of Graphs, Jason J. Molitierno

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The Algebraic Connectivity of Two Trees Connected by an Edge of Infinite Weight, Jason J. Molitierno and Michael Neumann

Submissions from 2000

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When is a Discrete Bounded Subgroup of an LCA Group Necessarily a Topological Direct Summand?, Peter Loth

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Tight Bounds on the Algebraic Connectivity of a Balanced Binary Tree, Jason J. Molitierno, Michael Neumann, and Bryan L. Shader

Submissions from 1999

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Direct Decompositions of LCA Groups, Peter Loth

Submissions from 1998

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Characterizations of Warfield Groups, Peter Loth

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Classifications of Abelian Groups and Pontrjagin Duality, Peter Loth

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Splitting in Locally Compact Abelian Groups, Peter Loth

Submissions from 1997

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The Duals of Almost Completely Decomposable Groups, Peter Loth

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The Duals of Warfield Groups, Peter Loth

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Normal Lattices and Coseparation of Lattices, Barry B. Mittag

Submissions from 1995

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On the global asymptotic stability of xn+1=(a+bxn)/(A+xn−1), John H. Jaroma

Submissions from 1992

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Splitting of the Identity Component in Locally Compact Abelian Groups, Peter Loth

Submissions from 1987

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The Persistence of Universal Formulae in Free Algebras, Anthony M. Gaglione and Dennis Spellman

Submissions from 1985

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Commutator Identities Obtained by the Magnus Algebra, Anthony M. Gaglione and Dennis Spellman