Alexander Gamburd Explained

Alexander Gamburd
Citizenship:	United States
Fields:	Mathematics
Workplaces:	CUNY Graduate Center
Alma Mater:	Massachusetts Institute of Technology (B.S.) Princeton University (M.A., Ph.D.)
Thesis Title:	"On Spectral Gap for Infinite Index "Congruence" Subgroups of SL(sub 2)(Z)"
Thesis Year:	1999
Doctoral Advisor:	Peter Sarnak
Known For:	Arithmetic combinatorics
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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, 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. He was a visiting scholar at the Institute for Advanced Study from 2005 to 2006 and from 2007 to 2008.^[4] In 2011, Gamburd joined the faculty of the CUNY Graduate Center as Presidential Professor of Mathematics.

Awards and honors

• In 2007, Gamburd received a Sloan Research Fellowship.^{[5] [6]}
• In 2007, he received an NSF CAREER Award.^[7]
• In 2008, he won a Presidential Early Career Award.^[8]

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

Notes and References

1. Web site: Alexander Gamburd. CUNY Graduate Center. Aug 14, 2020.
2. Shim. Katherine. Colloquium Gets Mixed Review. 1. October 23, 1992. The MIT Tech. Aug 18, 2020.
3. Web site: Math professor Alexander Gamburd wins Presidential Early Career Award. Dec 18, 2008. University of California, Santa Cruz. Aug 14, 2020.
4. Web site: Alexander Gamburd at the Institute for Advanced Study. 9 December 2019 . Aug 14, 2020.
5. Web site: Sloan Research Fellowships awarded to three UC Santa Cruz faculty. February 25, 2007. University of California, Santa Cruz.
6. Web site: Past Sloan Fellows. Alfred P. Sloan Foundation . August 14, 2020.
7. Web site: CAREER: Expander Graphs: Interactions between Arithmetic, Group Theory and Combinatorics. August 14, 2020.
8. Web site: The Presidential Early Career Award for Scientists and Engineers: Recipient Details. Aug 14, 2020.