An appreciation of Jean Bourgain’s work

An appreciation of Jean Bourgain’s work
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by Peter Sarnak;

Bull. Amer. Math. Soc. 58 (2021), 151-153

DOI: https://doi.org/10.1090/bull/1732

Published electronically: February 12, 2021

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References

J. Bourgain, On the Erdős-Volkmann and Katz-Tao ring conjectures, Geom. Funct. Anal. 13 (2003), no. 2, 334–365. MR 1982147, DOI 10.1007/s000390300008
J. Bourgain, Mordell’s exponential sum estimate revisited, J. Amer. Math. Soc. 18 (2005), no. 2, 477–499. MR 2137982, DOI 10.1090/S0894-0347-05-00476-5
Jean Bourgain and Semyon Dyatlov, Spectral gaps without the pressure condition, Ann. of Math. (2) 187 (2018), no. 3, 825–867. MR 3779959, DOI 10.4007/annals.2018.187.3.5
Jean Bourgain and Alex Gamburd, Uniform expansion bounds for Cayley graphs of $\textrm {SL}_2(\Bbb F_p)$, Ann. of Math. (2) 167 (2008), no. 2, 625–642. MR 2415383, DOI 10.4007/annals.2008.167.625
Jean Bourgain and Alex Gamburd, On the spectral gap for finitely-generated subgroups of $\rm SU(2)$, Invent. Math. 171 (2008), no. 1, 83–121. MR 2358056, DOI 10.1007/s00222-007-0072-z
J. Bourgain, N. Katz, and T. Tao, A sum-product estimate in finite fields, and applications, Geom. Funct. Anal. 14 (2004), no. 1, 27–57. MR 2053599, DOI 10.1007/s00039-004-0451-1

Bibliographic Information

Peter Sarnak
Affiliation: School of Mathematics, Institute for Advanced Study, Princeton, New Jersey
MR Author ID: 154725
Published electronically: February 12, 2021
Journal: Bull. Amer. Math. Soc. 58 (2021), 151-153
DOI: https://doi.org/10.1090/bull/1732
MathSciNet review: 4229147