Summer Undergraduate Program in Mathematics Wins New National Science Foundation Support

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WILLIAMSTOWN, Mass. - The National Science Foundation (NSF) has awarded Williams College a five-year $630,216 grant in support of "SMALL," a summer undergraduate research program in math. The SMALL program also received NSF funding in July 2004.

The SMALL projects for 2009 include commutative algebra, geometry (in Granada, Spain), knot theory, number and random matrix theory, and virtual knot theory.

Despite its name, SMALL is one of the largest programs of its kind in the United States. The program offers talented undergraduates a nine-week opportunity to investigate research problems in mathematics. Students work in small groups directed by individual faculty members. Since the program was founded in 1988, over 375 young mathematicians have participated.

Williams College mathematics professors Susan R. Loepp and Cesar E. Silva, who co-direct the program, point to the collaborative environment encouraged by SMALL that enables students to do innovative work.


Many students in the program have gone on to publish papers and present talks at academic conferences, based on their SMALL work. SMALL professor-student collaborations have been published in the Pacific Journal of Mathematics, the Journal of Knot Theory and its Ramifications, and the Transactions of the American Mathematical Society, among others.

Silva's research interests include ergodic theory and measurable dynamics. His research has been published in numerous academic and professional journals. He is the author of "Invitation to Ergodic Theory" (2008). At Williams, Silva teaches Calculus, Real Analysis, and Ergodic Theory. He received his B.S. from the Pontificia Universidad Catolica del Peru and his Ph.D. from the University of Rochester.

Loepp's field of research is commutative algebra. Her research has been published in The Journal of Algebra, The Journal of Pure and Applied Algebra, and Proceedings of the American Mathematical Society, among others. This year, Loepp taught Multivariable Calculus and Protecting Information: Applications of Abstract Algebra and Quantum Physics. Loepp received her B.A. from Bethel College and her Ph.D. in 1994 from the University of Texas at Austin.
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Williamstown Planning Board Narrowing in on Subdivision Bylaw Changes

By Stephen DravisiBerkshires Staff
WILLIAMSTOWN, Mass. — The Planning Board late last month discussed specific features of what it plans to pass as a new subdivision control bylaw this year.
 
The board long has discussed the complex set of regulations as being out of date and cumbersome to both potential developers and the board itself, which has needed to hear requests for waivers of outdated rules for the handful of residential subdivisions that have been proposed in town in recent years.
 
This spring, the town engaged consultants from Northampton's Dodson and Flinker Landscape Architecture and Planning to go through the existing bylaw, compare it to more contemporary regulations in other communities and help craft a revised bylaw.
 
Unlike the zoning bylaw, where amendments require approval of town meeting, the subdivision control bylaw is a creation of the Planning Board, which can make changes on its own after a public hearing process it hopes to complete this year.
 
At a special Planning Board meeting on May 26, Dillon Sussman of Dodson and Flinker and his colleagues walked the board through a dozen different decision points that the board must resolve — either by leaving the bylaw as is or making a change — and offered suggestions based on best practices.
 
All of the issues are technical and ranged from the fundamental, like how the bylaw will define types of subdivisions, to the highly specific, like what turning radii will be required in new streets that are constructed to serve planned developments.
 
One example of a topic that came up in the recent approval of a four-home subdivision off Summer Street is stormwater management.
 
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