Honors projects are an opportunity to delve deeply into graduate level mathematics or statistics. Projects may or may not involve original research, but all involve significant independent work. Usually honors work begins in the fall or January and extends through the spring semester. For more information on the honors program, visit the Academic Program page. There are also other opportunities for student research.

Below is a list of recent honors projects. If available, the name of the project is linked to the final paper. All copyrights are held by the authors or publishers; the papers are posted here with permission. The first faculty member listed is the primary supervisor.

ProjectStudent(s)YearSupervising Faculty
Chow's TheoremYohannes D. Asega2017Fernando Q. Gouvêa
David Krumm
Tying the Knot: Applications of Topology to ChemistryTarini S. Hardikar2017Scott Taylor
Jan Holly
Normal Surfaces and 3-Manifold AlgorithmsJoshua D. Hews2017Scott Taylor
David Krumm
Numerical Solution of the Black-Scholes PDESaran Liukasemsarn2017Jan Holly
Lu Lu
Chaos: The Mathematics Behind the Butterfly EffectJames Manning2017Jan Holly
George Welch
Some Examples of the Interplay between Algebra and TopologyJoseph D. Malionek2017Scott Taylor
Fernando Q. Gouvêa
Modeling Ocean Ecosystems Anna Kroanauer2016Jim Scott
Stephanie Taylor
A fast algorithm for simplifying triangulations of the 2-sphere Dan Medici 2016Scott Taylor
Leo Livshits
Topological Data AnalysisNick Murphy2016Scott Taylor
Jim Scott
Inequalities for Heegaard and bridge surfacesChris Burnham2015Scott Taylor
Lu Lu
The Central Hankel TransformMatt Levine2015Ben Mathes
Justin Sukiennik
Quantization of analysisKelvin Lui2015Ben Mathes
Scott Taylor
Cyclic Properties of the Volterra OperatorJohn Dixon2014Ben Mathes
Otto Bretscher
A Coder's Guide to Elliptic Curve CryptographyStephen Morse2014Fernando Gouvêa
Justin Sukiennik
Linear Algebra in Quantum ComputingByoungwook Jang2014Leo Livshits
Fernando Gouvêa
Towards Sullivan's No Wandering Domain TheoremKyle Hawkins2014Leo Livshits
Scott Taylor
Banach-Mazur Games and Borel DeterminacyStephen Jenkins2014Leo Livshits
Lu Lu
Unknotting Number and Combinatorial Sutured Manifold TheoryAlex Rasmussen2013Scott Taylor
Andreas Malmendier
The Geometry of the KdV Equation Arjumand Masood 2013Andreas Malmendier
Fernando Gouvêa
A Monte Carlo Simulation Study of the Performance of Hypothesis Tests Under Assumption ViolationsGareth Cleveland2013Liam O'Brien
Jim Scott
The Trace Formula for Modular Forms of Level OneAlex Barron2013Fernando Gouvêa
Andreas Malmendier
Odd or even: uncovering parity of rank in a family of rational elliptic curvesAnika Lindemann 2013Fernando Gouvêa
Andreas Malmendier
Recurrence relations, fractals, and chaos: implications for analyzing gene structure Sarah Harmon2012Jan Holly
Scott Taylor
The Radon transform and the mathematics of medical imagingJen Beatty2012Alan Von Hermann
Fernando Gouvêa
Heegaard splittings of certain 3-manifolds associated with the Cantor setSarah Kirker2011Scott Taylor
Fernando Gouvêa
Kalman filters Irina Kazan 2011Liam O'Brien
Andreas Malmendier