Alexander Gamburd
{{short description|American mathematician}}
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| name = Alexander Gamburd
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| citizenship = United States
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| fields = Mathematics
| workplaces = CUNY Graduate Center
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| 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)"
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| thesis_year = 1999
| doctoral_advisor = Peter Sarnak
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| known_for = Arithmetic combinatorics
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| awards = {{ublist
| Presidential Early Career Award
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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.{{cite web|title=Alexander Gamburd|url=https://www.gc.cuny.edu/Faculty/Core-Bios/Alexander-Gamburd|location=CUNY Graduate Center|accessdate=Aug 14, 2020}}
Life and career
Gamburd earned his B.S degree in mathematics from the Massachusetts Institute of Technology in 1993.{{cite magazine|last=Shim|first=Katherine|url=http://tech.mit.edu/V112/PDF/V112-N51.pdf|page=1|date=October 23, 1992|magazine=The MIT Tech|title=Colloquium Gets Mixed Review|accessdate=Aug 18, 2020}}{{cite web|url=https://news.ucsc.edu/2008/12/2643.html|title=Math professor Alexander Gamburd wins Presidential Early Career Award|date=Dec 18, 2008|location=University of California, Santa Cruz|accessdate=Aug 14, 2020}} He received his M.A. (1994) and Ph.D. (1999) from Princeton University,{{MathGenealogy|id=47874|title=Alexander Gamburd}} 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.{{cite web|url=https://www.ias.edu/scholars/alexander-gamburd|title=Alexander Gamburd at the Institute for Advanced Study|date=9 December 2019 |accessdate=Aug 14, 2020}} 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.{{cite web|url=https://news.ucsc.edu/2007/02/1067.html|title=Sloan Research Fellowships awarded to three UC Santa Cruz faculty|date=February 25, 2007|location=University of California, Santa Cruz}}{{cite web|url=https://sloan.org/past-Fellows?page=151|publisher=Alfred P. Sloan Foundation |title=Past Sloan Fellows|accessdate=August 14, 2020}}
- In 2007, he received an NSF CAREER Award.{{cite web|url=https://www.nsf.gov/awardsearch/showAward?AWD_ID=0645807|title=CAREER: Expander Graphs: Interactions between Arithmetic, Group Theory and Combinatorics|accessdate=August 14, 2020}}
- In 2008, he won a Presidential Early Career Award.{{cite web|url=https://www.nsf.gov/awards/PECASE/recip_details.jsp?pecase_id=227|title=The Presidential Early Career Award for Scientists and Engineers: Recipient Details|accessdate=Aug 14, 2020}}
Selected publications
- Bourgain, Jean; Gamburd, Alexander. "Uniform expansion bounds for Cayley graphs of SL2(Fp)". Annals of Mathematics 167 (2008), pages 625-642. [https://mathscinet.ams.org/mathscinet-getitem?mr=2415383 MR 2415383]
- Breuillard, Emmanuel; Gamburd, Alexander. "Strong uniform expansion in SL(2, p)". Geometric and Functional Analysis 20 (2010), number 5, pages 1201-1209. [https://mathscinet.ams.org/mathscinet-getitem?mr=2746951 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. [https://mathscinet.ams.org/mathscinet-getitem?mr=2892611 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. [https://mathscinet.ams.org/mathscinet-getitem?mr=3456887 MR 3456887]
References
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Category:Year of birth missing (living people)
Category:20th-century American mathematicians
Category:21st-century American mathematicians
Category:Massachusetts Institute of Technology School of Science alumni
Category:Princeton University alumni
Category:Institute for Advanced Study visiting scholars
Category:CUNY Graduate Center faculty
Category:Sloan Research Fellows
Category:Mathematicians from New York (state)
Category:Recipients of the Presidential Early Career Award for Scientists and Engineers