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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
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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/
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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
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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.
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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
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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/
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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/
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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.
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