Alexander Gamburd

American mathematician

Scientific careerFieldsMathematicsInstitutionsCUNY Graduate CenterThesis "On Spectral Gap for Infinite Index "Congruence" Subgroups of SL(sub 2)(Z)" (1999)Doctoral advisorPeter Sarnak

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.^[1]

Life and career

Gamburd earned his B.S degree in mathematics from the Massachusetts Institute of Technology in 1993.^[2]^[3] He received his M.A. (1994) and Ph.D. (1999) from Princeton University,^[4] 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.^[3] He was a visiting scholar at the Institute for Advanced Study from 2005 to 2006 and from 2007 to 2008.^[5] In 2011, Gamburd joined the faculty of the CUNY Graduate Center as Presidential Professor of Mathematics.^[1]

Awards and honors

In 2007, Gamburd received a Sloan Research Fellowship.^[6]^[7]
In 2007, he received an NSF CAREER Award.^[8]
In 2008, he won a Presidential Early Career Award.^[3]^[9]

Selected publications

Bourgain, Jean; Gamburd, Alexander. "Uniform expansion bounds for Cayley graphs of SL₂(F_p)". 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

References

^ ^a ^b "Alexander Gamburd". CUNY Graduate Center. Retrieved Aug 14, 2020.
^ Shim, Katherine (October 23, 1992). "Colloquium Gets Mixed Review" (PDF). The MIT Tech. p. 1. Retrieved Aug 18, 2020.
^ ^a ^b ^c "Math professor Alexander Gamburd wins Presidential Early Career Award". University of California, Santa Cruz. Dec 18, 2008. Retrieved Aug 14, 2020.
^ Alexander Gamburd at the Mathematics Genealogy Project
^ "Alexander Gamburd at the Institute for Advanced Study". 9 December 2019. Retrieved Aug 14, 2020.
^ "Sloan Research Fellowships awarded to three UC Santa Cruz faculty". University of California, Santa Cruz. February 25, 2007.
^ "Past Sloan Fellows". Alfred P. Sloan Foundation. Retrieved August 14, 2020.
^ "CAREER: Expander Graphs: Interactions between Arithmetic, Group Theory and Combinatorics". Retrieved August 14, 2020.
^ "The Presidential Early Career Award for Scientists and Engineers: Recipient Details". Retrieved Aug 14, 2020.