Jack Buttcane I am a graduate student in the department of mathematics at the University of California, Los Angeles, studying under Prof. Duke in the field of analytic number theory. Office: Math/Sciences 6146 Email:

	Teaching Math 31a Sect 1c: Tues 10-11am M/S 5118 Math 31a Sect 1d: Thurs 10-11am Geology 6704 Math 31b Sect 1a: Tues 9-10am M/S 6229 Math 31b Sect 1b: Thurs 9-10am Boelter 5420 Office Hours: Weds 12-1 (Math 31a), 1-2 (Math 31b) SMC Hour: Thurs 12-1pm M/S 3974 Courses I have TA'ed at UCLA in the past: The Basic Qual bootcamp for incoming math graduate students. Complex Analysis Real Analysis Combinatorics Differential Equations Linear Algebra Calculus For the year prior to coming to graduate school at UCLA, I taught statistics and trigonometry as an adjunct at Southern Oregon University.
	Research My current research is on the use of higher-rank automorphic forms applied to classical equidistribution problems and the relationship between primes and polynomials. My interests and methods are in analytic number theory, harmonic analysis on symmetric spaces, complex analysis, the spectral theory of autormorphic forms, trace formulas, exponential sums, L-functions. Prior Research: On Sums of SL(3,Z) Kloosterman Sums. In the arXiv. A note on the Waring-Goldbach problem. In the Journal of Number Theory. A translation of Hadamard's Sur la distribution des zéros de la function ζ(s) et ses conséquences arithmétiques.