Student Research

As an Applied Mathematics major you will engage in a research project, often including original research, with an advisor from the faculty. 

Some potential faculty/student collaborative research projects are:

Graph Theory and Discrete Mathematics

  • Tree-like Polyphenyl Systems
  • Gene network identification using Max Flow/Min Cut
  • Applications of Google’s PageRank algorithm to infectious disease transmission networks
  • Vibrational spectra of highly symmetric graphs
  • Games on graphs
  • Food webs and competition graphs
  • Attack and defense in graphs modeling international relations/Roman Defenses
  • Conway’s Game of Life on alternate graphs
  • Minimizing luck in games of low chance
  • Modeling and optimizing organ exchange and donor systems

Linear Algebra

  • Max/Min determinants of certain (0,1) matrices with fixed row sums
  • Max/Min norms and condition numbers for matrices with prescribed determinant and Frobenius norm
  • Rank invariant, the eigen-invariant, or the row (column) spaces invariant linear maps

Mathematics Education

  • Effectiveness of technology in the classroom
  • Inquiry-based learning in Pre-Calculus and Calculus courses
  • Formative assessment for understanding concepts in secondary mathematics

Past Student Projects:

Student Year Employer/Institution Advisor

Thesis

Joe

Langan

2015   James Quinlan and Michael Arciero

Evaluating the Management Implications of Discard Mortality in the Gulf of Maine Recreational Atlantic Cod (Gadus morhua) Fishery

Matt

Eaton

2015  

Susan

Gray

Graphing Calculators in the Classroom

Mara

Bovee

2014  

Craig 

Tennenhouse

Combinatorial Games and Rotisserie Nim

Brittany

Dunay

2014  

James

Quinlan

Numerical Ranges

Spenser

Wood

2014  

Craig Tennenhouse

Modified Firefighter Problem for Simplified Metastatic Problem

Liese

Carelton

2014 Virginia Institute for Marine Science Graduate School

James

Quinlan

Matrix Diagonalization Modulo P
Cassidy Peterson 2013 Virginia Institute for Maine Science Graduate School

James

Quinlan

Stage-Based Matric Modeling and Subsequent Analysis of the Northwest Atlantic Population of the Spiny Dogfish (Squalus acanthias)
Colin Longhurst 2013 University of WI, Madison Graduate School

Woon Yuen

Koh

Applications of Categorical Data Analysis in Political Science
Joselle O'Brien 2013 University of Buffalo Graduate School

James

Quinlan

Nice Polynomials with 3 or More Roots
Jeremy Jason 2013 High school teacher, Southern Maine

Susan

Gray

Identifying when Graphing Calculations are Beneficial to the Learning Outcome

John

Allen

2010 High school teacher

Susan

Gray

Professional Development in Mathematics Education
Justin Buchanan 2010 High school teacher, Mt. Desert Island, ME

Susan

Gray

Integrating Technology with Mathematics Education
Kylie Bragdon 2010 High school teacher, Mt. Desert Island, ME

Susan

Gray

Implementing a Culturally Sensitive Mathematics Curriculum in a Developing Nation
Caryn Howard 2010 UNUM

James

Quinlan

Primes over the Gaussian Integers
Sarah Martin 2010  

Susan

Gray

Gender Differences in Mathematical Learning
Paris Mansmann 2009 University of New England College of Pharmacy

Michael

Arciero

A Signal Processing Approach to Analysis of DNA Sequences