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The Fairfield University Research Experiences for Undergraduates Program in Mathematics and Computational Science is an eight-week summer program that provides active and original research opportunities for undergraduates. Student participants will work in small groups on focused research topics under the guidance of a Fairfield faculty mentor. We provide stipends and free housing on the Fairfield campus located just north of New York City. The 2012 program runs from June 11 to August 3. more...

Projects 2012

Easy Implementations of Difficult Program Analyses
Faculty Mentor: John Lasseter

Static program analysis encompasses a wide family of techniques for determining properties of programs without running them, which are valid for all possible execution traces of the program. While correct static analysis is always sound with respect to program semantics, it is almost always incomplete (and hence imprecise), a necessary price that is paid to guarantee termination of the analysis. more...

Time Series Analysis: Investigating the Water Quality of Lake Lillinoah
Faculty Mentor: Laura McSweeney

Lake Lillinonah, the second-largest lake in Connecticut, was created in 1955 when a dam was built for hydroelectric power. The lake is a popular recreational space known for its bass fishing and water skiing. However, the health of the lake is threatened by an over-abundance of algae bloom. more...

Authentication and Identification in Computer Security
Faculty Mentor: Amalia Rusu

Are you a human? Who are you? Are you who you claim to be? In this project we will research CAPTCHAs, HIPs, graphical passwords, and biometrics, and their use in computer security. more...

Width of a Knot and Khovanov Cohomology
Faculty Mentor: Stephen Sawin

Knot theory has surprising applications to physics, biology, chemistry and many branches of mathematics. Knot theory has been revolutionized in recent decades by the discovery of a number of powerful and mysterious invariants, such as the Jones Polynomial and its more complicated cousin Khovanov Cohomology. more...

This material is based upon work supported by the National Science Foundation and the Department of Defense under Grant No. 1004346.