Honors Projects
Honors projects are an opportunity to delve deeply into graduate-level mathematics. 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. If you are interested in pursuing honors, please speak with a department faculty member whose interests align with yours.
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(s) | Year | Supervising Faculty |
|---|---|---|---|
| ELLIPTIC CURVES OVER FINITE FIELDS | Chris Calger | 2023 | Changningphaabi Namoijam Nora Youngs |
| A Generalized Polar-coordinate Integration Formula, Oscillatory Integral Techniques, and Applications to Convolution Powers of Complex-valued Functions on Zd | Huan Bui | 2021 | Evan Randles Leo Livshits |
| Counting Conjugacy Classes of Elements of Finite Order in Compact Exceptional Groups | Qidong He | 2021 | Tamar Friedmann Fernando Gouvea |
| Everyone can be “a math person”: The Role of the Growth Mindset in Mathematics Education | Nicole Petherbridge (education) | 2020 | Mark Tappan (education) Scott Taylor |
| Basis Reduction in Lattice Cryptography | Raj Kane | 2019 | Nora Youngs Leo Livshits |
| On Spectral Theorem | Muyuan Zhang | 2018 | Ben Mathes Evan Randles |
| Parametric Polynomials for Small Galois Groups | Claire Huang | 2018 | Fernando Gouvea David Krumm |
| Simplest Cubic Fields | Jianing Yang | 2018 | Fernando Gouvea David Krumm |
| Chow’s Theorem | Yohannes D. Asega | 2017 | Fernando Q. Gouvêa David Krumm |
| Tying the Knot: Applications of Topology to Chemistry | Tarini S. Hardikar | 2017 | Scott Taylor Jan Holly |
| Normal Surfaces and 3-Manifold Algorithms | Joshua D. Hews | 2017 | Scott Taylor David Krumm |
| Numerical Solution of the Black-Scholes PDE | Saran Liukasemsarn | 2017 | Jan Holly Lu Lu |
| Chaos: The Mathematics Behind the Butterfly Effect | James Manning | 2017 | Jan Holly George Welch |
| Some Examples of the Interplay between Algebra and Topology | Joseph D. Malionek | 2017 | Scott Taylor Fernando Q. Gouvêa |
| Modeling Ocean Ecosystems | Anna Kroanauer | 2016 | Jim Scott Stephanie Taylor |
| A fast algorithm for simplifying triangulations of the 2-sphere | Dan Medici | 2016 | Scott Taylor Leo Livshits |
| 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 |
| 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 |
| The Geometry of the KdV Equation | Arjumand Masood | 2013 | Andreas Malmendier Fernando Gouvêa |