**Bard MATH 401/402** Senior Project

**Bard MAT** Academic Research Project (ARP)

**Chatham College** Senior Tutorial Project

**Chenyu Chang:** (2018 Senior Project)

**Clifton Williamson:** SADLE [SAY-dul] Spatial Awareness
Discourse Learning Environment: A cognitive architecture for
Artificial Intelligence (2018 BPI Senior Project)

**Robert Molina:** Rediscovering Ways to Win With BPO:
An Alternative Metric for Determining Success in
Major League Baseball (2018 BPI Senior Project)

**Lingxin Zhao:** A Stochastic Mass Function on the Edges of a Graph (in progress) (2018 Senior Project)

**Samuel Audino:** Associativity of Binary Operations on the Real Numbers (2016 Senior Project)

**Taylor Boone:** Abstractions and Analyses of Grid Games (2016 Senior Project)

**Ben Al-Dijali:** Combinatorial Game Symmetry: Encountering the odd multiple of $k$ (2015 BPI Senior Project)

**Hancy Maxis:** Game-strategic Analysis: A Linear Algebraic Approach to the Nash Equilibrium, and
Application to ``Big Med'' (2015 BPI Senior Project)

**William Daniels:** Winning NIMbers (2015 BPI Senior Project)

**Lara Bradford:** Linear Nim Strategies (2015 ARP)

**Frank Stortini:** POWERful Mathematical Games (2015 ARP)

**Maddy Huggins:** Frozen with Nimbers (2015 ARP)

**Linnette Aviles:** Nimbers, Again Revisited(2013 ARP)

**David Holmes:** Games Mathematicians Play (2013 ARP)

**James Munson:** The Abelian Sandpile Group: DAGs and the Manhattan Identity (2012 ARP)

**Sherin George:** Galois Groups of Fibonacci Polynomials (2012 ARP)

**Raymond Saade:** Take-Away Nimbers Revisited (2012 ARP)

**Claire Skrivanos:** Pebbling on Directed Grid Cycles (2012 ARP)

**Corey Levin:** Prime Take Away: An Exploration in Game Theory (2012 ARP)

**Becca Kunce:** The Green Game: Nim Equivalence (2012 ARP)

**Alyssa Ali:** Prime Powers of the Fibonacci Sequence under Modular Arithmetic(2011 ARP)

**Daniel Grenell:** Sophie Germain Primes (2011 ARP)

**Jacob Leibold:** Nimbers and the Silver Dollar Game (2011 ARP)

**Julie Mancini:** Nimbers: Periodicity of Three-Step Staircase Games (2011 ARP)

**Kristen LaPlante:** Take-Away Game Nimbers (2011 ARP)

**Nancy Buck:** Fibonacci Sequences in Extension Fields (2011 ARP)

**Michael Stoops:** A Statistical Analysis of Voting Paradoxes and Nonlinear Borda Count Voting Systems (2010 ARP)

**Katie Garringer:** Fibonacci-like Sequences Modulo $m$ (2010 ARP)

**Kristen McLaughlin:** Nice Chomp (2010 ARP)

**Rebecca Ueno:** Fibonacci's Flowers and Factors under Modulus $m$ (2010 ARP)

**Reuben Villagomez:** Quandles and Finite Fields (2010 ARP)

**Chris Watts:** What's the Dealo with Elo? Does the ELO rating system really determine the best players? (2009 ARP)

**Julie Fetzner:** Seeking Patterns in the Iterations of a Voronoi Diagram (2009 ARP)

**Kim Corum:** Redefining Color: Edge Coloring and Computational Balloon Twisting (2009 ARP)

**Kristen Dale:** Curious Investigation of Bones \dots (2009 ARP)

**Matthew Chapnick:** Clearly Musical (2009 ARP)

**Riley Gibbs:** Monopoly (2009 ARP)

**Adam Hanlon (Paco):** Limiting Distributions in the Stochastic Game of Life (2008 ARP)

**Joseph Biernat:** Modeling the NCAA Basketball Tournament with Econometric Techniques (2008 ARP)

**Rachell Ashley:** Tiling a $23 \times 43$ Rectangle Using $4 \times 6$ and $5 \times 7$ Rectangles (2008 ARP)

**Rodolfo Nunez and Rodolfo Elizondo:** Analysis of Convergence Rates for the Helmholtz Equation on Singular Surfaces (2008 ARP)

**Sarah Lewis:** Chomp on Simple Cycles (2008 ARP)

**Zenon Borys:** A Survey of Quandles and Some of Their Fundamental Properties (2008 ARP)

**Aaron Schumacher:** Constructions from the Natural Numbers (2007 ARP)

**Joe Ochiltree:** Fibonacci Cycles modulo $p$ (2007 ARP)

**Zach Korzyk:** Patterns of Fibonacci Sequences modulo $m$ (2007 ARP)

**Junno Lee:** Some Finite Models of the Theory of Quandles Considered as Matrices (2007 ARP)

**Annie Lerew:** Cryptography and $\text{SL}(2,\mathbb{Z})$ (2007 ARP)

**Robert Andruskiewicz:** NCAA ``March Madness?'': Using Mathematics
to Measure Effectiveness of Seeding in the NCAA
Menâ€™s Basketball Tournament Championship (2007 ARP)

**Tim Miller:** Walklength with Leaving (2007 ARP)

**Tracy Zaino:** Finding Gardens of Eden on a Torus: An Investigation of the Game of Life (2007 ARP)

**Marianna Shvartsapel:** A Close Look at the Condorcet Paradox (2007 ARP)

**Holly Hickling:** Nontransitive Dice Revisited (2004 Chatham College Senior Tutorial Project)

**Emily Kabbe:** Entropy as an Author's Signature (2003 Chatham College Senior Tutorial Project)