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).
|Modeling Ocean Ecosystems||Anna Kroanauer (*)||2016||Jim Scott
|A fast algorithm for simplifying triangulations of the 2-sphere||Dan Medici (*)||2016||Scott Taylor
|New examples of Brunnian theta graphs|
Accepted by InvolveInvolve
Alex Zupan (UNL)
|Toeplitz Transforms of Fibonacci Sequences|
to appear in Bulletin of the Iranian Mathematical Society.
|The Fibonacci identities of orthogonality|
to appear in Linear Algebra and Its Applications
|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
|Functions with dense graphsMathematics Magazine|
86 (2013) 366-369.
|Eli Dupree||2013||Ben Mathes|
|Unknotting Number and Combinatorial Sutured Manifold Theory||Alex Rasmussen (*)||2013||Scott Taylor
|The Geometry of the KdV Equation||Arjumand Masood (*)||2013||Andreas Malmendier
|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