Mathematical Sciences: Applications of Rankin-Selberg Convolutions to Automorphic Forms and Number Theory

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Hoffstein This award funds the work of Professor Jeffrey Hoffstein in the theory of automorphic forms. Professor Hoffstein will study twists of forms. These ideas promise a new approaches to several open problems in classical analytic number theory. This research falls under the general heading of Number Theory. Number Theory is the study of the properties of the whole numbers and is the oldest branch of mathematics. From the beginning problems in number theory have furnished the driving force to creation of new mathematics in almost all parts of the discipline. One of the philosophies of modern number theory is that many facts about numbers can be studied using calculus. This approach is very evident in the theory of automorphic forms. This kind of number theory is very technical and deep, but it has had astonishing applications in areas like theoretical computer science and coding theory. ***