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Jack Buttcane
I study automorphic forms, which is a branch of number theory with ties to representation theory. In particular, I study the special functions and exponential sums which occur in the Kuznetsov trace formula for groups other than GL(2). These special functions are generalizations of the classical Bessel functions to many variables and they satisfy systems of partial differential equations; I am interested in their asymptotics and the asymptotics of their integral transforms.