Alexander Gamburd

Alexander Gamburd is a mathematician at the Graduate Center of the City University of New York known for his work in spectral problems in number theory, probability, and Arithmetic combinatorics. He is a Presidential Professor of Mathematics at the CUNY Graduate Center.

Life and career Gamburd earned his B.S degree in mathematics from the Massachusetts Institute of Technology in 1993. He received his M.A. (1994) and Ph.D. (1999) from Princeton University, where his advisor was Peter Sarnak. In 2004, Gamburd became assistant professor of mathematics at the University of California, Santa Cruz and was promoted to full professor in 2008. In 2011, Gamburd joined the faculty of the CUNY Graduate Center as Presidential Professor of Mathematics. In 2007, he received an NSF CAREER Award. In 2008, he won a Presidential Early Career Award.

Selected publications Bourgain, Jean; Gamburd, Alexander. "Uniform expansion bounds for Cayley graphs of SL2(Fp)". Annals of Mathematics 167 (2008), pages 625-642. MR 2415383 Breuillard, Emmanuel; Gamburd, Alexander. "Strong uniform expansion in SL(2, p)". Geometric and Functional Analysis 20 (2010), number 5, pages 1201-1209. MR 2746951 Bourgain, Jean; Gamburd, Alexander; Sarnak, Peter. "Generalization of Selberg's 3/16 theorem and affine sieve". Acta Mathematica 207 (2011), number 2, pages 255–290. MR 2892611 Bourgain, Jean; Gamburd, Alexander; Sarnak, Peter. "Markoff triples and strong approximation". Comptes Rendus Mathématique. Académie des Sciences. Paris 354 (2016), number 2, pages 131-135. MR 3456887