The faculty of the large Mathematics Department at Lafayette has, collectively, a wide variety of interests. Typically, 30 – 40 students complete the A.B. or B.S. major in mathematics, or the A.B. joint major in mathematics and economics.

Independent Study and Honors

Independent study courses are usually offered at the request of interested students. These courses have covered topics in statistics, topology, differential equations, geometry, the history of mathematics, Galois theory, matroids, combinatorics, transcendental numbers, differential geometry, fluid dynamics, number theory, and probabilistic models.

Below is a list of some recent honors theses. For a longer list (dating back to 1938), visit the Lafayette library catalog and search for this keyword combination: Lafayette College mathematics honors.

Class of 2015

  • Anni Gao ’15: Hidden Markov Models: Theory and Application – Advisor: Prof. Fisher.
  • Yemai Liu ’15: A Brief History of Linear Algebra and Two Important Theorems – Advisor: Prof. Traldi.
  • Juan Posso ’15: A Tour of Geometric Measure Theory – Advisor: Prof. Corvino.
  • Patrick Pozzi ’15: A Monte Carlo Investigation of the Behavior of Information Criteria for Model Selection in repeated Measures Models – Advisor: Prof. Gaugler.
  • Bridget Rauch ’15: The Perception of an Extortionate Strategy as a Human Opponent within the Iterated Prisoners’ Dilemma (Joint with Psychology) – Advisors: Profs. Root & Talarico.

Class of 2014

  • Rachel Gordon ’14: Techniques and Applications of the Traveling Salesman Problem – Advisor: Prof. Stonesifer.
  • Linyi Jia ’14: Life Contingency Models and an Epidemiological Application – Advisor: Prof. Fisher.
  • Shannon Nitroy ’14: A Study of a New Curriculum: The Effect of Easton Weed and Seed’s ‘Summer Nights’ Program on Summer Learning Loss (Joint with Economics) – Advisors: Profs. Liebner & Ruebeck.
  • Michael Pinkard ’14: The Min-Oo Conjecture – Advisor: Prof. Corvino.

Class of 2013

  • Andrew Brady ’13: Density Estimation through Bayesian Regression Splines – Advisor: Prof. Liebner.
  • Bonnie Harvey ’13: Using Markov Models to Estimate the NHL Scoring Rate – Advisor: Prof. Liebner.
  • Christopher Miles ’13: Network Coding Theory And Matroid Representability (Joint with ECE) – Advisors: Profs. Gordon & Jouny.
  • Liang Zhang ’13: Cyclic Covers of Knot Complements and the Alexander Polynomial – Advisor: Prof. Zulli.
  • Rujie Zhou ’13: Markovian Models In Insurance With Applications In Joint-Life Mortality – Advisor: Prof. Fisher.

Class of 2012

  • Bidur Dahal ’12: A Survey of Tutte Polynomials and T-uniqueness – Advisors: Profs. Gordon & Traldi.
  • Felix Hutchison ’12: Neuron Modeling and Spiking Network Realization (Joint with ECE) – Advisors: Profs. Hornfeck & Root.
  • Jiaqi Li ’12: Survival Analysis: A Theoretical Understanding and its Application to Breast Cancer – Advisor: Prof. Teboh-Ewungkem.
  • Kelly Sullivan ’12: Mathematical Exploration of Sudoku with an Emphasis on the 4×4 Case – Advisor: Prof. McMahon.
  • Heidi Verheggen ’12: Two Open Problems in Diophantine Analysis – Advisor: Prof. Smith.

Class of 2011

  • Farhan Abedin ’11: The Riemannian Positive Mass Theorem – Advisor: Prof. Corvino.
  • Ramona Fittipaldi ’11: Exploring Outer Automorphisms in S6 through Geometric Shapes – Advisor: Prof. McMahon.
  • Rachel Ingber ’11: Gifts, Gift Cards, Deadweight loss: Using the Holiday Helpers Program to Improve the Economic Benefit of the Holiday Season (Joint with Economics) – Advisors: Profs. Liebner & Ruebeck.
  • Peiyuan Mao ’11: Invariant Subspaces of Some Operators in Hilbert Space – Advisor: Prof. Hill.
  • Peter McGrath ’11: Lattices, Lattice Reduction, and the LLL algorithm – Advisor: Prof. Smith.
  • Alyssa Smith ’11: Quantitative Reasoning for True Democracy (for an interdisciplinary major) – Advisor: Prof. Root.
  • Qi Sun ’11: Copula Correlation, Default Correlation, and Copula Method with Mixture Normal Model on Asset-Backed Security (Joint with Economics) – Advisors: Profs. Chambers & Lu.

Class of 2010

  • Xing Yan ’10: Predicting the Volatility of the U.S. Housing Market: an Application of the GARCH model (Joint with Economics) – Advisors: Profs. Chambers & Liebner.
  • Jorge Sawyer ’10: Spaces, Rings, and Subsets of the Stone-Cech Compactification – Advisor: Prof. Kimber.
  • Shelvean Kapita ’10: An Introduction to Comparison Geometry – Advisor: Prof. Corvino.

Class of 2009

  • Jim Stoholski ’09: Analyzing Baseball Strategy through MCMC Simulations – Advisor: Prof. Liebner.
  • Shiliang Cui ’09: Martingales and Sequence Patterns Generated by a Markov Chain – Advisor: Prof. Fisher.
  • Joseph Dudek ’09: Robot Groups in Algebraic Topology – Advisor: Prof. Meier.
  • Ying Quan ’09: A Tree Model for Pricing Mortgages with Prepayment and Default Options (Joint with Economics) – Advisors: Profs. Chambers & Lu.
  • Hayley Rosado ’09: Applications of Origami in Mathematics – Advisor: Prof. Berkove.

Class of 2008

  • George Armah ’08: Constructing Cayley Graphs of Coxeter Groups – Advisor: Prof. McMahon.
  • Kristen Mazur ’08: Permutation Groups – Advisor: Prof. McMahon.
  • Jinjin Qian ’08: An Analysis of Correlation in Copula’s Model of Pricing CDO’s (joint with the Economics and Business Department) – Advisors: Profs. Chambers & Lu.
  • Jordan Tirrell ’08: Color My Numbers: Van der Waerden’s Theorem – Advisor: Prof. Gordon.

Class of 2007

  • Lindsay M. Bryant ’07: A Copula Approach to Valuing Credit Default Obligations (joint with the Economics and Business Department) – Advisors: Profs. Kelly & Lu.
  • Brian G. Kronenthal ’07: Combinatorial Game Theory: Analyzing Games with “Nimbers” – Advisor: Prof. Smith.
  • Frank A. Patane ’07: A Brief Introduction to the Prime Number Theorem – Advisor: Prof. Kimber.
  • Haotian Wu ’07: An Introduction to Hamilton’s Ricci Flow on Closed Surfaces and Three-Manifolds with Positive Ricci Curvature – Advisor: Prof. Corvino.

Class of 2006

  • Stacey Altrichter ’06: Hamiltonian Dynamics of a Mechanical Example of Coupled Nonlinear Oscillators – Advisor: Prof. Root.
  • Ibrahima Bah ’06: Space-Time Interactions from Virasoro and Kac-Moody Algebra (joint with Physics) – Advisor: Profs. Corvino & Novaco.
  • Kari Barkley ’06: A Model of a Vertically Transmitted Disease with a Delay Due to Partial Immunity – Advisor: Prof. Hill.
  • Jenna Bratz ’06: A Mathematical Model of a Vertically Transmitted Disease with a Maturation Delay – Advisor: Prof. Hill.
  • Jacob Carson ’06: The Growth of Paths in Seifert-Weber Dodecahedral Space – Advisor: John Meier.
  • Kevin Ehly ’06: Topology of the Reflection Poset – Advisor: Prof. Meier.
  • Maureen Jackson ’06: The Mathematics Behind the Game of SET – Advisor: Prof. McMahon.
  • Ekaterina Jager ’06: Space-Time Block Codes – Advisor: Prof. Smith.
  • Alex Kadel ’06: Achieving Mutual Cooperation: An Investigation into Prisoner’s Dilemma and Other Non-Zero Sum Games – Advisor: Prof. Gordon.
  • Erica Morabito ’06: Probabilistic Modeling of Biological Sequences – Advisor: Prof. Fisher.
  • Brian Regan ’06: Game Theory and a Generalization of Cooperative Games – Advisor: Prof. Gordon.
  • Gregory P. Rodebaugh ’06: Lagrangian Vortex/Impulse Method Applied to a Sunfish (Joint with Mechanical Engineering) – Advisor: Prof. Root.
  • Jose Tano ’06: A Non-Fiction Prediction of Fiction : An Economic Model of Hardcover Novels (Joint with Economics and Business) – Advisor: Prof. Bruggink.

Class of 2005

  • Farhan Ahmed ’05: Pruning algorithm to reduce the search space of the Smith-Waterman algorithm & kernel extensions to the uC/OS-II Real-Time Operating System (Joint with ECE) – Advisors: Profs. Gum & Nestor
  • Prince Chidyagwai ’05: Convergence of Fourier Series – Advisor: Prof. Hill.
  • Gregory Francos ’05: An Introduction to Matroid Theory and Invariants – Advisor: Prof. Gordon.
  • Usman Khan ’05: A Binomial Tree Approach to Price Callable Convertible Bonds – Advisor: Prof. Lu.
  • Robert McEwen ’05: Algorithms for Recursively Generating Ortho-projections – Advisor: Prof. Zulli.
  • Trent Mohney ’05: The Poisson Point Process and Applications – Advisor: Prof. Fisher.
  • Kevin Penderghest ’05: The Unilateral Shift Operator – Advisor: Prof. Hill.
  • Blerta Shtylla ’05: Newton’s Method with Stochastic Perturbations of the First Derivative – Advisors: Prof. Berkove & Root.
  • Katharine Wolchik ’05: Stock Portfolio Continuous Trading Strategies by Simulation – Advisor: Prof. Lu

Class of 2004

  • Carrie Abildgaard ’04: The Markowitz Model, Transaction Costs, and Utility Functions in the Theory of Financial Decision Making – Advisor: Prof. Smith.
  • Elisabeth Edwards ’04: Isometries and Wallpaper Groups – Advisor: Prof. Gordon.
  • Douglas Schiz ’04: An Econometric Location And Gate Revenue Model For The National Football League (Joint with Economics and Business) – Advisor: Bruggink.

Class of 2003

  • Alexandru Balan ’03: An Enhanced Approach to Network Reliability Using Boolean Algebra (Joint with Computer Science) – Advisors: Profs. Liew & Traldi.
  • Joshua Grubman ’03: A Comparison of Relative Abilities of Multiple Regression Analysis and Artificial Neural Networks to Predict House Prices in a Hedonic Model (Joint with Economics and Business) – Advisor: Bruggink.
  • Lazar Nikolic ’03: The Generalized Riemann Integral – Advisor: Prof. Hill.
  • Christopher Reich ’03: The Effects of U.S. News and World Report Annual College Rankings on Top, Private National Universities and Liberal Arts Colleges (Joint with Economics and Business) – Advisor: Bruggink.
  • Crystal Taylor ’03: Pareto Efficient Exchange and Urban Development (Joint with Economics and Business) – Advisors: Profs. Hutchinson, Gordon & McMahon.

Class of 2002

  • Ned Allis ’02: Public Key Cryptography and Factoring – Advisor: Prof. Reiter.
  • Lindsay Carifi ’02: Markowitz Model: Finding the Efficient Frontier Using the Current Stock Market – Advisors: Profs. Handy & Lu.
  • Andrew Colton ’02: A Mathematical Model of an Immunological Experiment – Advisor: Prof. Gorman.
  • Steven A. DiMauro ’02: An Introduction to Game Theory and Variations in the Game of Nim – Advisor: Prof. Smith.
  • Timothy A. Fargus ’02: Knot Theory: The Jones Polynomial and the Knot Group – Advisor: Prof. Zulli.
  • Nicholas Jacobi ’02: Dynamical Systems and Chaos – Advisor: Prof. Yuster.

Class of 2001

  • Bruce Adcock ’01: Fractional Derivatives – Advisor: Prof. Berkove.
  • Sarah Bellows ’01: Measuring Productivity in the Labor Market: The Impact of the Free Agent Year on Baseball Players (Joint with Economics and Business) – Advisor: Bruggink.
  • Mark Coslett ’01: The Magic Behind the Black-Scholes Option Pricing Model – Advisor: Prof. Lu.
  • Jeffrey P. Dumont ’01: The 3x+1 Problem, Generalizations and Visualization – Advisor: Prof. Reiter.

Class of 2000

  • Paul Harmon ’00: Markov Chains: Theory and Applications – Advisor: Prof. Fisher.