Alexander Gamburd is a mathematician at the

Graduate Center of the City University of New York The Graduate School and University Center of the City University of New York (CUNY Graduate Center) is a public research institution and postgraduate university in New York City. Formed in 1961 as Division of Graduate Studies at City University ...

known for his work in spectral problems in

number theory Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions. Number theorists study prime numbers as well as the properties of mathematical objects constructed from integers (for example ...

probability Probability is a branch of mathematics and statistics concerning events and numerical descriptions of how likely they are to occur. The probability of an event is a number between 0 and 1; the larger the probability, the more likely an e ...

, 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 The Massachusetts Institute of Technology (MIT) is a Private university, private research university in Cambridge, Massachusetts, United States. Established in 1861, MIT has played a significant role in the development of many areas of moder ...

in 1993. He received his M.A. (1994) and Ph.D. (1999) from

Princeton University Princeton University is a private university, private Ivy League research university in Princeton, New Jersey, United States. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial ...

, where his advisor was Peter Sarnak. In 2004, Gamburd became assistant professor of mathematics at the

University of California, Santa Cruz The University of California, Santa Cruz (UC Santa Cruz or UCSC) is a public university, public Land-grant university, land-grant research university in Santa Cruz, California, United States. It is one of the ten campuses in the University of C ...

and was promoted to full professor in 2008. He was a visiting scholar at the

Institute for Advanced Study The Institute for Advanced Study (IAS) is an independent center for theoretical research and intellectual inquiry located in Princeton, New Jersey. It has served as the academic home of internationally preeminent scholars, including Albert Ein ...

from 2005 to 2006 and from 2007 to 2008. 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 The Sloan Research Fellowships are awarded annually by the Alfred P. Sloan Foundation since 1955 to "provide support and recognition to early-career scientists and scholars". This program is one of the oldest of its kind in the United States. ...

. *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(F_p)". ''

Annals of Mathematics The ''Annals of Mathematics'' is a mathematical journal published every two months by Princeton University and the Institute for Advanced Study. History The journal was established as ''The Analyst'' in 1874 and with Joel E. Hendricks as t ...

'' 167 (2008), pages 625-642
MR 2415383
*Breuillard, Emmanuel; Gamburd, Alexander. "Strong uniform expansion in SL(2, p)". ''

Geometric and Functional Analysis ''Geometric and Functional Analysis'' (''GAFA'') is a mathematical journal published by Birkhäuser, an independent division of Springer-Verlag. The journal is published bi-monthly. The journal publishes major results on a broad range of mathemat ...

'' 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 ''Acta Mathematica'' is a peer-reviewed open-access scientific journal covering research in all fields of mathematics. According to Cédric Villani, this journal is "considered by many to be the most prestigious of all mathematical research journ ...

'' 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

{{DEFAULTSORT:Gamburd, Alexander Year of birth missing (living people) Living people 20th-century American mathematicians 21st-century American mathematicians Massachusetts Institute of Technology School of Science alumni Princeton University alumni Institute for Advanced Study visiting scholars CUNY Graduate Center faculty Sloan Research Fellows Mathematicians from New York (state) Recipients of the Presidential Early Career Award for Scientists and Engineers