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Student Research

Many mathematics students are involved in research work at Davidson beyond the scope of usual coursework, through summer research projects, research assistance to faculty, independent studies, honors projects, and more.  Sometimes these are funded by external faculty grants or internal collaborative grants to faculty or students, such as the Davidson Research Initiative.  In addition, academic competitions and regular course projects are the source of much academic activity, such as the community service projects from the Mathematical Modeling class.

Summer 2012

Student(s) Project Type: Topic Faculty
Mentor
Daniel Bernstein '13 External NSF REU: developed software tool for analysis of physical activity data. U. Portland
Erica Dominic,
Kalamazoo College
NASCAR (Michael Waltrip Racing) application: algorithm to test whether lug nuts were tightened by the pit gun during a pitstop. Chartier
Jonah Galeota-Sprung '13 Graph theory research in synthetic biology: Analyzing combinatorial properties of an optimization algorithm on a two-dimensional grid graph. Heyer
Bryan Kelly '14 NASCAR (Michael Waltrip Racing) application: studied race strategies discerned only by streamed lap data. Chartier
Sarah Klett '15 & Grant Thomas '13 Service application for Our Towns Habitat: studied the check-in and check–out system for their inventory with the goal of increasing its efficiency. Chartier
Cyrus Lala '13 Applied math research: clustering algorithms as posed as linear programming problems. Chartier
Andrew Lantz '14 Modeling research in synthetic biology: representing intercellular communication on both local and global scales using agent-based modeling. Heyer
Brian McGue '13 Applied math research: modeling information spread over a social network using epidemiology (i.e. as a virus). Chartier
Lucy McMurry '13 & Matilda Solinger '13 Geometry research: Tensegrity Structures. Molinek
Matt Mohorn '14 App development: working on a smartphone app that will create "Math Trails" which are the work of a mathematician at the University of Toronto. Chartier
Corey Poff '13 External NSF REU: Developed software tool for efficiently tracking insects over long duration of video. UNC-Charlotte
Colin Thompson '13 Dynamical Systems research: Characterizations of chaos on the unit circle. Molinek
Tucker Whitesides '13 Bioinformatics research in synthetic biology: developing online software tools to help design and assemble oligos and find a successful ligation. Heyer

Summer 2011 -- Spring 2012

Student(s) Project Type: Topic Faculty
Mentor
Daniel Bernstein '13 Graph Theory Research:  Ramsey Theory on the Integers Yerger
Daniel Bernstein '13 Applet Development: visualization tool in Java for matrix clustering in biological and medical applications, see the admissions video about their collaborative research Chartier
Paul Britton '12 Statisical analysis:  Boxing in Basketball, Davidson coach's round concept; submitted to J. of Quantitative Analysis in Sports Yerger
Duke DeLoache '12
Lilly Wilson '13
Bioinformatics team research in synthetic biology: solving the Hamiltonian Path Problem (w/ Campbell in Bio.) Heyer
David Heilbron '13 Applied math research assistant: algorithm development for prediciting NCAA basketball tournament using seeding Chartier
Bryan Kelly '14 Research assistant:  Development of a new adaptation of PageRank for web ranking Chartier
Cyrus Lala '13 App Development:  iPhone programs showing mathematical algorithms for general audiences Chartier
Karen Larson '12 External NSF REU:  Classifying Drum pattern data using hidden Markov model and k-means clustering Claremont Colleges
Karen Larson '12 Honors Thesis:  Unwrapping Rap, Classification of Drum Patterns in Rap Songs; using hierarchical clustering and QT-Clust Heyer
Greg Macnamara '12 Applied math research assistant:  Integration of ideas in economics to sports ranking Chartier
Matt Mohorn '14 Applet development:  Updated Binary Integer Linear Program and created Java front-end for student volunteer placement Chartier
Steph Meador '12 Applet Development:  March Madness using Easy Java Simulation software; also curriculum units for Charlotte Teachers Institute Chartier
Greg Newman '13 Applied math research assistant:  clustering of political blogs and transcripts (w/ Putnam in Pol. Sci.) Chartier
Michael Romano '12 Applied math research assistant:  sports ranking applied to the NFL draft Chartier
Corey Poff '13 External NSF REU: Developed method for tracking insects in long video using GPU and interaction. UNC-Charlotte
Leland Taylor '12 CIS major in computational genomics: honors thesis on PHAST, a web-based genome assembly teaching tool (w/ Campbell in Bio.) Heyer
Colin Thomson '13 Applet Development:  Java applets for Calculus Chartier
Austin Totty '12 Independent Study: Math through Popular Culture; one of the creations was a Candy Pi Calculator that was a hot online item Chartier
David Wang '12 Summer analysis research: De Bruijn sequences Molinek

Note 2011 publications and publicity in earlier research below, especially in ranking algorithms and genetic computing!

Links below go to a talk abstract, sometimes with later presentation or publication info,
           or to a semester newsletter where the name may be searched for more info.

Summer 2010 -- Spring 2011

Student(s) Project Type: Topic Faculty
Mentor
Steph Meador '12
Stephen Streb '12
Eugene Shiu '12
Keila Alfred (NCA&T '12)
Bioinformatics research for iGEM team project:
The Knapsack Problem
Heyer
Linda Kleist (int'l)
Katie Richeson '11
Mathematical biology research, part of CIS major:
Solving the Complementary Bounded Tiling Problem
with DNA Nanotechnology
Heyer
Beth Peters '11
Claire Benton (NCA&T)
DRI Summer research: 
Graph theory curriculum module for middle school
Molinek
Colin Thomson '13 HHMI Summer research assistant:
Visualization tools for consensus clustering
for biological and medical applications
Chartier
Daniel Martin '11 external NSF REU:
Spectral Clustering and Visualization:
A Novel Clustering of Fisher's Iris Data Set,
in SIAM Undergraduate Research Online
NC State
Annie Temmink '11 external NSF REU:
Clustering Microarray Data
Claremont Colleges
Lake Trask '11 Summer & Fall research assistant:
Ranking Twitter Users with Sports Ranking Methods,
U.S. Provisional Patent, Application No.61/405,381
U.S. Patent Application No. 13/278,653
Chartier
Eugene Shiu '12 Fall research assistant:
Developing a recommendation system for Twitter
Chartier
Annie Temmink '11 Fall Independent study:
on the Processing programming language
Chartier
Cyrus Lala '13
Colin Nelson '12
Greg Newman `12
Jimmy Rountree '11
Programming Competitions:
A Snowball's Chance in Dell
Goldmann
Mossinghoff
Yerger
Lake Trask '11 Spring Independent study:
on data mining of social networks
Chartier
Steph Meador '12 Spring research assistant:
Development of web applets in math and computing using Easy Java Simulation software
Chartier
Daniel Martin '11 Spring research assistant:
Consulted ESPN show Sport Science;
Personalized ratings with sports ranking methods;
Development of an authority and ranking algorithm
using social interaction parameters, social game
performance and content creation variables
Chartier

Summer 2009 -- Spring 2010

Student(s) Project Field & Type: Topic Faculty
Mentor
Ben Altman '10 Numerical analysis honors project:
High-order multivariable automatic differentiation in MATLAB
Neidinger
Jennings Boley '10
Mark Trawick '10
Numerical linear algebra independent study:
Clustering financial data, spring news
Chartier
Jim Dickson '09 Numerical analysis research assistant:
Algebraic multigrid and algebraic block smoothing, fall news
Chartier
Linda Kreist ‘11
Katie Richeson ‘11
Bioinformatics independent study:
Solving NP-Complete Problems using DNA Origami
Heyer
Erich Kreutzer '10 Numerical linear algebra research assistant and indep. studies:
Ranking, clustering and recommendation systems
• Chartier, T., E. Kreutzer, A. Langville and K. Pedings. Sensitivity and Stability of Ranking Vectors. SIAM Journal on Scientific Computing, 33 (2011) 3, 1077-1102.  Publication whose news releases from SIAM resulted in many online references including IEEE-Spectrum.
• Chartier, T., E. Kreutzer, A. Langville and K. Pedings. Sports Ranking with Nonuniform Weighting. Journal of Quantitative Analysis in Sports, 7 (2011) 3, Article 6.
Chartier
Erich Kreutzer '10 Computer Science independent study:
Theory of Computation, fall news
Mossinghoff
Adam Lewicki '11 Calculus research project:
Defining a solid of rotation about a non-linear axis, spring news
Whitton
Steph Meador '12 Numerical linear algebra research assistant:
Web ranking, fall news
Chartier
Greg Newman '12 Computing internship:
Using Math and Computer Science in MTV's Real World
 
Sarah Oberst '10 Mathematical modeling honors project:
A Mathematical Model of Malaria
Molinek
Shashank Suresh '12
Annie Temmink '11
Bioinformatics iGEM team research:
Exploring patterns in boolean satisfiability
Heyer
Colin Thomson '13 Numerical linear algebra research assistant:
Sports ranking, spring news
Chartier
Mark Trawick '10 Bioinformatics software research assistant:
MAGIC Tool (MicroArray Genome Imaging and Clustering)
Heyer
Mali Zhang '11 Combinatorics research project:
Solving Scramble Squares from a graphical theoretical perspective
Mason

Summer 2008 -- Spring 2009
See the online article about 08-09 student research.