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Research Experience for Undergraduates

Mathematics REU: May 25 - July 17, 2015

Participants for Summer 2015 have been selected!

Students will work on research in groups of three students that are each led by a faculty advisor. The research groups will be centered around three exciting areas of mathematical research.

Mentors and Subject Areas:

  • Dr. Christina Graves - Chemical Graph Theory:
    • In chemistry, a fullerene is a molecule consisting solely of carbon atoms. Mathematically, we model a fullerene with a graph where every vertex has degree 3 and all faces are hexagons or pentagons. It has been shown that given a fullerene, there are ways to slightly modify it by adding more vertices and faces but keeping most of the graph the same. We will explore such modifications.
  • Dr. Stephen Graves - Algebraic Graph Theory:
    • Algebraic graph theory focuses on the properties of the symmetry groups of graphs and their action on the graph. The study of these properties sheds light both on the structure of graphs and also on the behavior of abstract groups. We will primarily investigate problems related to finding small graphs with a fixed given automorphism group.
  • Dr. David Milan - Reliability Polynomials:
    • The reliability polynomial of a graph is the probability that the graph is connected if each edge is included in the graph with probability p. The study of these polynomials has applications to computer networks as well as other types of networks. We will be interested in a number of questions about reliability polynomials including finding the most reliable graphs having a fixed number of edges and vertices when they exist.

Program Benefits:

  • A stipend of $3800 for the eight-week program.
  • Free on-campus housing at the Patriot Village apartments, only a few minutes walk from the Mathematics Department facilities in Ratliff Building North.
  • Full access to The University of Texas at Tyler's facilities, including the Herrington Patriot Center (fitness facilities, available at a discounted rate) and the Muntz Library.
  • Work closely with faculty in gaining valuable research experience.
  • Learn how to write and typeset a professional mathematics article using LaTeX.
  • Learn how to prepare and deliver an excellent talk on mathematics.
  • Partial funding to attend a national conference to present research results.
  • Information on the process of selecting and applying for graduate programs
  • Fun team-building social activities. Past activities have included:

The mathematics REU from 2011 through 2013 was a great success, and so was Summer 2014! We are hopeful to continue the success!