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 Year Supervising Faculty
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
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 Matrices
Int. 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
The 3 stooges of vector calculus and their impersonators: A viewer's guide to the classic episodes
Jennie Buskin
Philip Prosapio
2011 Scott Taylor
Cantor Groups
The College Mathematics Journal
Vol. 42, No. 1 (January 2011), pp. 60-61.
Chris Dow
(work done c. 2002)

Ben Mathes
Leo Livshits
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
Heegaard splittings of certain 3-manifolds associated with the Cantor set Sarah Kirker (*) 2011 Scott Taylor
Fernando Gouvêa
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
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
Head Tilt-Translation Combinations Distinguished at the Level of Neurons
Biological Cybernetics
Vol. 95 (2006) 311-326
Sarah Pierce
Gin McCollum
2006 Jan Holly