Student Research
Opportunities for student research abound in the Colby Mathematics and Statistics department. Students can apply for paid research assistant positions and qualified students can complete honors projects. For more information about becoming a research assistant, talk to your favorite mathematics or statistics professor. (If you are interested in doing research over the summer, you should approach your professor by early January.) For more information on the honors program, visit the Academic Program page and see the list of recent honors projects.
Below is a list of recent research projects involving students. Some honors projects qualify as independent research and are included here (marked with *); others are listed on the honors project page. 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. For honors projects, the first faculty member listed is the primary supervisor. For other papers, faculty supervisors and non-Colby affiliated authors are listed according to the convention of the discipline (often alphabetical).
Project | Student(s) | Year | Supervising Faculty |
---|---|---|---|
A fast algorithm for simplifying triangulations of the 2-sphere | Dan Medici (*) | 2016 | Scott Taylor Leo Livshits |
New examples of Brunnian theta graphs Accepted by Involve | Byoungwook Jang Anna Kronaeur Pratap Luitel Dan Medici | 2015 | Scott Taylor Alex Zupan (UNL) |
Toeplitz Transforms of Fibonacci Sequences to appear in Bulletin of the Iranian Mathematical Society. | Liam Connell Matt Levine | 2015 | Ben Mathes Justin Sukiennik |
The Fibonacci identities of orthogonality to appear in Linear Algebra and Its Applications | Kyle Hawkins Ursula Hebert-Johnson | 2014 | Ben Mathes |
Rings of Uniformly Continuous Functions Int. J. Contemp. Math. Sciences (2014), pp. 309 – 312 | Yilin Xu | 2014 | Ben Mathes |
Triangular truncation of k-Fibonacci and k-Lucas circulant matrices Linear Algebra and Its Applications (2014), pp. 177-187 | John Dixon Michael Goldenberg | 2013 | Ben Mathes Justin Sukiennik |
Functions with dense graphs Mathematics Magazine 86 (2013) 366-369. | Eli Dupree | 2013 | Ben Mathes |
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 |
Sensory Conflict Compared in Microgravity, Artificial Gravity, Motion Sickness, and Vestibular Disorders Journal of Vestibular Research Vol. 22 (2012) 81-94. | Sarah Harmon | 2012 | Jan Holly |
Singular values of k-Fibonacci and k-Lucas Hankel MatricesInt. J. Contemp. Math. Sciences Vol. 7, 2012, no. 47, 2327 – 2339 | Eli Dupree | 2012 | Ben Mathes |
An Application of Matricial Fibonacci Identities to the Computation of Spectral Norms Rocky Mountain Journal of Mathematics Vol. 44, 2014, no. 3, p. 877 | John Dixon David Wheeler | 2012 | Ben Mathes |