Alexander Gamburd | |
---|---|
Citizenship | United States |
Alma mater | Massachusetts Institute of Technology (B.S.) Princeton University (M.A., Ph.D.) |
Known for | Arithmetic combinatorics |
Awards | |
Scientific career | |
Fields | Mathematics |
Institutions | CUNY Graduate Center |
Thesis | "On Spectral Gap for Infinite Index "Congruence" Subgroups of SL(sub 2)(Z)" (1999) |
Doctoral advisor | Peter 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.
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. He was a visiting scholar at the Institute for Advanced Study 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.
- 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
References
- ^ "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.
- ^ "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.
- 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