Modular Forms
May 6th, 2006 by WaltModular forms have been thrust into mathematical prominence by Wiles’ proof of Fermat’s Last Theorem. Wiles in actuality proved a special case of the Shimura-Taniyama conjecture, which relates elliptic curves and modular forms.
Fred Calegari has written a nice introduction to the topic of modular forms in the guise of a book review of A first course in modular forms by Diamond and Shurman. (The review also features the best variant of the “kids today” sentiment I’ve seen recently: “With today’s Ipod generation more likely to study elliptic curves and modular forms before learning any class field theory…”
June 3rd, 2006 at 9:34 pm
[...] The latest Bulletin of the AMS is out. We previously linked to Frank Calegari’s introduction to modular forms. Medical image processing has become a major area of applied mathematics, one featured in a survey by Angenent, Pichon, and Tannenbaum. Golubitsky and Stewart discuss network dynamics from the point of view of groupoids. [...]