Faculty Projects for Undergraduate Research
Email Name: Daniel R. Plante
Education: Ph.D., University of Notre Dame. M.S. in Engineering (Computer Science), North Carolina State University
Interests: Physics, Large-Scale Computations, Parallel Computing.
Project Topics:
  • Write and analyze a parallel implementation of a neural net for character recognition.
  • Use genetic programming to find the solution to a maze with multiple possible entry points and one or more internal destination points.
  • Write, analyze, and compare Hopfield, Kohonen, and Backpropagation networks for the classic

Email Name: Erich Friedman
Education: Ph.D., Cornell University
Interests: Probability, Game Theory, Packing and Tiling, Combinatorial Geometry.
Project Topics:
  • Combinatorial Game Theory
  • Variations on Nim
  • Graph Theory
  • Semi-Regular Graphs
  • Antipodes and Geodesics of Graphs
  • Planar Regular Hypergraphs
  • Combinatorial Geometry
  • Hugging Numbers
  • Idiot-Proof Tiles
  • Generalized Catalan Numbers
  • N-Vex Shapes
  • Constant Neighbor Tilings

Related Link: http://www.stetson.edu/~efriedma/research/
Email Name: Hala ElAarag
Education: Ph.D., University of Central Florida.
Interests: Computer Networks, Computer Architecture, Modeling, Simulation and Performance Evaluation.
Related Link: http://www.stetson.edu/~helaarag/sr.html
Email Name: Hari Pulapaka
Education: Ph.D., University of Florida
Interests: Graph Theory, Combinatorics, Number Theory.
Project Topics:
  • Combinatorial Proofs of Partition Theorems
  • Congruence Theorems for Partitions of Numbers
  • Recreational Number Theory - Digit Routines
  • Properties of Graphs Embedded on Surfaces
  • Probabilistic Methods in Combinatorics and Graph Theory
  • Graph Algorithms
  • Fiestel Versus Non-Fiestel Based Cryptographic Algorithms
  • Study and Analysis of the Advanced Encryption Standard (a.k.a. Rijndael)
  • Web-Based Learning/Training Systems
Dr. Pulapaka is interested in many areas of Mathematics. In addition to his interests above, Group Theory, Field Theory, Linear Algebra, and Algebraic Topology warrant special mention.
Email Name: Lisa Coulter
Education: Ph.D., Courant Institute, New York University.
Interests: Numerical Analysis, Mathematical Modeling.
Project Topics:
  • Population modeling
  • The Marriage and Assignment problems
  • Transportation routing
  • Ethnomathematics
  • Translation and commentary on the works of Euler

Email Name: Margie Hale
Education: Ph.D., Vanderbilt University
Interests: Topology, Logic, Differential Equations, Interactive Software.
Project Topics:
  • Geometry
  • Statistics
  • Delay Differential Equations
  • Dynamical Systems
  • Fuzzy Logic

Related Link: http://www.stetson.edu/~mhale/srresch/
Email Name: Michael Branton
Education: Ph.D., University of North Carolina, Chapel Hill
Interests: Dynamical Systems, Artificial Life, Computer Graphics, Web App Development, Database
Project Topics:
  • Continuation of the immersive 3D environment project : Begun by Travis Turner, and greatly expanded by Ulugbek Fayzullaev and Alex McClung, this is based on the projection of an interactive 3D environment onto 3 sides of a 9' cube. There are a number of ways to expand this project, including building more environments, supporting more input devices for user interactivity, such as a palm pilot, and porting the environment to VRJuggler/NetJuggler (see http://www.vrjuggler.org/ and http://netjuggler.sourceforge.net/NetJuggler.php).
  • Expand the ProctoLogic project, begun by Daniel Holth and Clinton McChesney, to include more client platforms and a mechanism for creating dynamic filters.

Related Link: http://www.ohnolab.org/en/researches/stetho/
Email Name: Will Miles
Education: Ph.D., Clemson University
Interests: Computational Analysis, Finite Element Method, Interface Tracking, Fluid Dynamics.
Project Topics:
  • Modelling of fluid flows involving multiple fluids possessing both viscous and elastic properties.
  • Analysis of a system of PDE\\\'s governing viscoelastic fluid flow (including proving the existence of a solution and a priori error estimates).
  • Computer simulation of multicomponent fluid flow using the C programming language.