Honors Projects

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.

Project Student Year Supervising Faculty
Modeling Ocean Ecosystems Anna Kronauer 2016 Jim Scott
Stephanie Taylor
A fast algorithm for simplifying triangulations of the 2-sphere Dan Medici 2016 Scott Taylor
Leo Livshits
Topological Data Analysis Nick Murphy 2016 Scott Taylor
Jim Scott
Inequalities for Heegaard and bridge surfaces Chris Burnham 2015 Scott Taylor
Lu Lu
The Central Hankel Transform Matt Levine 2015 Ben Mathes
Justin Sukiennik
Quantization of analysis Kelvin Lui 2015 Ben Mathes
Scott Taylor
Cyclic Properties of the Volterra Operator John Dixon 2014 Ben Mathes
Otto Bretscher
A Coder's Guide to Elliptic Curve Cryptography Stephen Morse 2014 Fernando Gouvêa
Justin Sukiennik
Linear Algebra in Quantum Computing Byoungwook Jang 2014 Leo Livshits
Fernando Gouvêa
Towards Sullivan's No Wandering Domain Theorem Kyle Hawkins 2014 Leo Livshits
Scott Taylor
Banach-Mazur Games and Borel Determinacy Stephen Jenkins 2014 Leo Livshits
Lu Lu
Unknotting Number and Combinatorial Sutured Manifold Theory Alex Rasmussen 2013 Scott Taylor
Andreas Malmendier
The Geometry of the KdV Equation Arjumand Masood 2013 Andreas Malmendier
Fernando Gouvêa
A Monte Carlo Simulation Study of the Performance of Hypothesis Tests Under Assumption Violations Gareth Cleveland 2013 Liam O'Brien
Jim Scott
The Trace Formula for Modular Forms of Level One Alex Barron 2013 Fernando Gouvêa
Andreas Malmendier
Odd or even: uncovering parity of rank in a family of rational elliptic curves Anika Lindemann 2012 Fernando Gouvêa
Andreas Malmendier
Recurrence relations, fractals, and chaos: implications for analyzing gene structure Sarah Harmon 2012 Jan Holly
Scott Taylor
The Radon transform and the mathematics of medical imaging Jen Beatty 2012 Alan Von Hermann
Fernando Gouvêa
Heegaard splittings of certain 3-manifolds associated with the Cantor set Sarah Kirker 2011 Scott Taylor
Fernando Gouvêa
Kalman filters Irina Kazan 2011 Liam O'Brien
Andreas Malmendier