Alexander Gamburd
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.[1]
Life and career[edit]
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[edit]
- 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[edit]
- 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[edit]
- ^ 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.
- 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