## Projects Mentored

### Projects Mentored

**Undergraduate Research Directed:**

^{1} indicates project was basis for student's Honors College thesis

^{2 }indicates project was presented by students at a national conference

**2023 – 2024**

* “Star-Shaped Regions in Non-Euclidean Geometries”, with Matthew Klepadlo

* “Philosophy of Mathematics: Provability and Truth”, with Tori de la Hoz

* “Advanced 3D Game Development”, with Rousseau Francois, Ralph Garcia, and Larry Moreno

* “Machine Learning and Procedurally Generated Stories”, with Norah Curran ^{(1)}

* “Interactive Web-Based Music Applications”, with Tyler Reid

**2022 – 2023**

* “Procedurally Generated Music and Computer Graphics”, with Christopher Benson and Faith Mock

* “Interactive Animations for Mathematics Education”, with Faith Mock and Jarred Navarro

**2021 – 2022 **(none – Sabbatical Leave of Absence)

**2020 – 2021**

* “Computer Graphics and GPU Programming with Java”, with James Cona

**2019 – 2020**

* “Agent-Based Models and Genetic Algorithms”, with Jennefer Maldonado

* “Parameterizations of Fractal-like Curves”, with Vincent Schinina ^{(2)}

* “3D Videography and Virtual Reality”, with Paul Maurantonio

* “Psychological Effects of Loot Boxes in Video Games”, with Thomas Dayton ^{(1) }

* “Computer Graphics and GPU Programming with Pascal”, with Michael Pascale

**2018 – 2019**

* "Augmented Reality: Theory and Applications", with Ryan Barrett ^{(1)}

* "Virtual Reality Video Game Development", with Evan Leider

* "Python Algorithms for Constructive Solid Geometry", with Bradon Cortes and Maxwell Guarnieri

**2017 – 2018**

* "Interactive Literature: Creation and Context", with Caitlin Lenhan ^{(1)}

* “Adaptive Learning Technology in Mathematics Education”, with Emily Harris ^{(1)}

**2016 – 2017**

* “Adelphi University: 3D Multiplayer Simulation”, with Mathew Mallory, Robert Monteleone, and Justin Pedowitz

**2014 – 2015**

* "Understanding the Fourth Spatial Dimension via Interactive Software", with Cécile Cornelus ^{(1)}

* "Creating a 3D Computer Graphics Engine", with Matthew Matero

**2013 – 2014** (none – Sabbatical Leave of Absence)

**2012 – 2013**

* "Hyperbolic Geometry and the Art of M.C. Escher", with Julia Huntermark ^{(1)}

* "Generalized Self-Similar Curves", with Carissa Brtalik and Magdalena Mulvihill ^{(2)}

**2011 – 2012**

* "Polynomial Knots", with Anthony Del Latto, Dayna Goeringer, and Steven Roveto ^{(2)}

* "Evolution and Population Dynamics in Game Theory", with Tara Gangarossa ^{(2)}

* "Efficiency of Algorithms for Solving Rubik's Cube with Abstract Algebra", with Nicolas Micelli ^{(2)}

* "Hinton and the Fourth Spatial Dimension", with Samuel C. Herwood ^{(1),(2)}

* "Hyperbolic Curve Cryptography", with Katherine Weiss ^{(2)}

**2010 – 2011**

* "Polynomial Knots of Degree Seven", with Salvatore Giunta and Kavi Gupta ^{(2)}

* "Generalizations of the Prisoners' Dilemma", with Rachel Sherman ^{(2)}

* "Rubik Groups of Dual Polyhedra", with Corinna Venezia ^{(2)}

**2009 – 2010**

* "Telescopic Proofs and Fermat's Last Theorem", with Christopher Kirk

* "Group Structure of Rubik-like Puzzles (Octahedra)", with Shannon Zeckzer ^{(2)}

**2008 – 2009**

* "Agent-Based Simulations of the Anasazi Culture", with Nicole Alves ^{(1),} ^{(2)}

* "Group Structure of Rubik-like Puzzles (Prisms)", with Jaclyn Bogensberger ^{(1), (2)}

* "Geometry of the Parameter Space of Polynomial Knots", with Adam Schoepfin^{(1)}

**2007 – 2008**

* "Game-Theoretic Agent-Based Models and Evolution of Behavioral Strategies", with Edwin Chen^{(1)}

* "Many-Option Games and Genetic Algorithm-Based Simulation Models of Social Interaction", with Joseph Dilallo^{(1)}

* "A Comparative Analysis of Traditional Economic Theory and Complexity Economics", with Akhil Ketkar ^{(1)}