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Projects 2014This year's program runs from June 2, 2014  July 25, 2014.
The Davenport Constant and the Theory of NonUnique Factorization In other systems of numbers similar to the integers, numbers can have two or more different ways they can factor as a product of "prime" numbers. Understanding the variation in factorization involves studying a structure called the block monoid (a careful google search for "monoid" produces the picture at left), which turns factorization problems into addition problems about sequences. more...
Wind Driven Ocean Gyres in a Square Basin The global ocean is a complex, multiscale, timevarying system. Wind driven ocean gyres in a square basin can be studied analytically, numerically, experimentally, and observationally. This project will explore all of these methods with a particular focus on comparing the numerical solutions of the governing equations to the experimental findings using a rotating tank. more...
Topological Fixed Point Theory The main invariants in topological fixed point theory are the minimal number of fixed points, and the Nielsen number which was defined in the 1920s. Students in this project will learn the basics of Nielsen theory on surfaces, specifically looking at properties of the Nielsen and minimal numbers when the function is chosen at random. more...
This material is based upon work supported by the National Science Foundation and the Department of Defense pending funding renewal. 


Fairfield University  Department of Mathematics & Computer Science  Bannow 21  Fairfield, CT 06824  203.254.4000 ex.2515