Matrix and Graph-Theoretic Methods in Global Stability Analysis of Zika Virus Dynamics 
Kyra Bessey, Morgan Mavis, and Jeffrey Zhang

Non-Nilpotent Graphs of Group 
Andrew Davis, Julie Kent, and Emily McGovern

Midpoint Iteration of the Unit Square
Joe Foster, Sarah Moore, and Adam Somers

Hinges in Z_q² and F_q²
David Lin and Allisun Thomas

Point and Oval Incidences in a Projective Plane
Yunus Syed

Hausdorff Distance and Hausdorff Dimension
Huiyi Chen and Mikayla Novak

Ergodicity Coefficients and Related Polytopes
Incheoul Chung

Generalized Rainbow Configurations
Mike Desgrottes, David Soukup, and Renjun Zhu

Bounds on Subframes
Mike Desgrottes, David Soukup, and Renjun Zhu

Bifurcation Analysis of Neuronal Bursters Models
Brittany Knowlton, Jake McClure, and Ngan Vu

Conjugacy Class Graphs of Dihedral and Permutation Groups
Genevieve Maalouf and Taylor Walker

The Number of Conjugacy Classes Contained In Products of Conjugacy Classes
Herionexy Mounier-Acaba

Modeling and Stability Analysis of a Zika Virus Dynamics
Savannah Bates and Hayley Hutson

Polychromatic Sums and Products in Finite Fields
Rafa Ceja, Katie Cook, and Karissa Hayden

Non-Cyclic Graphs of Finite Groups
Daniel Costa, Veronica Davis, and Kenny Gill

Dynamics of the Pentagram Map
Hunter Dinkins, Ella Pavlechko, and Kelly Williams

Modeling and Global Stability Analysis of Ebola Models
Tommy Stoller

Convergence of a Generalized Midpoint Iteration
Jared Able, Daniel Bradley, and Alvin Moon

Genera of Subgroup Intersection Graphs
Joe Dillstrom, Gwen McKinley, and Bronson Tunstall

Dynamics of Network Connectivity Model of Waterborne Disease Epidemics
Alysse Edwards, Dayna Mercadante, and Cristina Retamoza

 Graduate Assistants
Joe Roberts
Ashley Russell

Modeling and Analysis of Anaerobic Digestion in a Bioreactor
Christina Berti

Non-Commuting Graphs of Groups
Gerhardt Hinkle, Colleen Robichaux, and Rebecca Wood

Automorphisms
Gerhardt Hinkle

Convergence and Orchestrated Divergence of Polygons and  On Fractals and Dimensionality
Eric Hintikka, Siddharth Patel, and Rachel Robinson

Krylov Subspace Methods to Calculate PageRank
Ben Vadala-Roth

Dynamics and Bifurcations in Variable Population Interactions
Jordan Whitener

Graduate assistants
Rosemary Green
Joe Roberts

Subgroup Graphs with Non-Orientable and Oriented Genus One
Jeremy Berry, Sarah McGinnis, and E.J. Sanchez

Dynamics and Bifurcations in Predator-Prey Models with Refuge, Dispersal, and Threshold Harvesting
Keilah Ebanks and Alex Hare

Existence of a Limit on a Dense Set and Construction of Continuous Functions on Special Sets
Goodi Khalsa, Charles Ouyang, and Hannah Skavdal

Bernstein Type Inequalities of the Voronoi Cell of the Hexagonal Lattice and Strictly Positive-Definite Functions on the Unit Circe
Charles Ouyang

A Hybrid Reordered Arnoldi Method to Accelerate PageRank Computations
Danielle Parker

Graduate assistants
Caleb Bennett
Kat Voelkel

Smooth Factorizations in Dynamical Systems
Andrew Binder

Continuous Threshhold Policy Harvesting In Predator-Prey Models
Jonathan Bohn and Kaitlin Speer

Genera of Zero-divisor Graphs of Finite Rings"
Anthony Fraticelli, "Generalized Derangements
Mendel Feygelson and Wayne Johnson

Generalized Derangement Graphs
Hannah Jackson

Recursive Sequences and Groups
Christina Mendoza

Spectral Analysis of Cyclic and Elementary Abelian Subgroup Lattices
Christopher Tomaszewski

Graduate assistants
Immanuel McLaughlin
Stephen Parry

Diophantine Equations with Constraints − Click and Clack's Clock
Caleb Bennett

Subgroup Lattices and their Chromatic Number
Voula Collins

Understanding When Finite Local Rings Share Zero Divisor Graphs
Sarah Fletcher

Ratio-Dependent Predator-Prey Models with Nonconstant Predator Harvesting
Phil Lenzini

The Annihilator Graph of a Ring
Trevor McGuire

Accelerating Google's PageRank
Steve Osborne and Liz Wiggins

Charlie Scherer, "Local Rings of Order p^6
Sam Tencer, "Generalized Derangements"

Graduate assistants
Jake Boswell
Katie Schmidt

On the Orientable Genus of a Zero-Divisor Graph
Nathan Bloomfield

On Methods for Accelerating and Updating Google's PageRank
Michael Campbell

Population Dynamics of a Ratio-Dependent Predator-Prey Model with Non-Constant Havesting Policies
Ben Leard and Cat Lewis

The Hamiltonicity of Subgroup Graphs
Immanuel McLaughlin and Andy Owens

A Generalization of Recursive Integer Sequences of Order Two
Stephen Parry

On the Non-Orientable Genus of a Zero-Divisor Graph
Kerry Sipe

Robin Tucker-Drob, "Cohen-Macaulay Monomial Rings

Graduate assistant
Uriah Williams
Darren Wynne