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.
Below is a list of recent student work and successful honors projects (marked with *). 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 | Year | Supervising Faculty |
| Head Tilt-Translation Combinations Distinguished at the Level of Neurons Biological Cybernetics Vol. 95 (2006) 311-326 |
Sarah Pierce Gin McCollum |
2006 | Jan Holly |
| Whole-Motion Model of Perception during Forward- and Backward-Facing Centrifuge Runs Journal of Vestibular Research Vol. 18 (2008) 171-186 |
Arturs Vrublevskis Lindsay Carlson |
2008 | Jan Holly |
| Spatial Disorientation in Gondola Centrifuges Predicted by the Form of Motion as a Whole in 3-D Aviation, Space, and Environmental Medicine Vol. 80 (2009) 125-134. |
Katharine Harmon | 2009 | Jan Holly |
| Kalman filters | Irina Kazan (*) | 2011 | Liam O'Brien Andreas Malmendier |
| Heegaard splittings of certain 3-manifolds associated with the Cantor set | Sarah Kirker (*) | 2011 | Scott Taylor Fernando Gouvêa |
| Differences between Perception and Eye Movements during Complex Motions Journal of Vestibular Research Vol. 21 (2011) 193-208. |
Saralin M. Davis Kelly E. Sullivan |
2011 | Jan Holly |
| Cantor Groups The College Mathematics Journal Vol. 42, No. 1 (January 2011), pp. 60-61. |
Chris Dow (work done c. 2002) |
2011
|
Ben Mathes Leo Livshits |
| The 3 stooges of vector calculus and their impersonators: A viewer's guide to the classic episodes |
Jennie Buskin Philip Prosapio |
2011 | Scott Taylor |
| The Radon transform and the mathematics of medical imaging | Jen Beatty (*) | 2012 | Alan Von Hermann Fernando Gouvêa |
| Recurrence relations, fractals, and chaos: implications for analyzing gene structure | Sarah Harmon (*) | 2012 | Jan Holly Scott Taylor |
| Odd or even: uncovering parity of rank in a family of rational elliptic curves | Anika Lindemann (*) | 2012 | Fernando Gouvêa Andreas Malmendier |
| An Application of Matricial Fibonacci Identities to the Computation of Spectral Norms to appear Rocky Mountain Journal of Mathematics |
John Dixon David Wheeler |
2012 | Ben Mathes |
| Singular values of k-Fibonacci and k-Lucas Hankel Matrices Int. J. Contemp. Math. Sciences Vol. 7, 2012, no. 47, 2327 - 2339 |
Eli Dupree | 2012 | Ben Mathes |
| 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 |