Alexander Gamburd

Alexander Gamburd's AcademicInfluence.com Rankings

Alexander Gamburd

Mathematics

#4843

World Rank

#6848

Historical Rank

Measure Theory

#5186

World Rank

#6136

Historical Rank

mathematics Degrees

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Mathematics

Alexander Gamburd's Degrees

PhD Mathematics University of California, Berkeley

Why Is Alexander Gamburd Influential?

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According to Wikipedia, 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.

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Alexander Gamburd's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Uniform expansion bounds for Cayley graphs of SL2(Fp) (2008) (285)
Affine linear sieve, expanders, and sum-product (2010) (189)
On the spectral gap for finitely-generated subgroups of SU(2) (2007) (159)
On the spectral gap for infinite index “congruence” subgroups of SL2(Z) (2002) (120)
Generalization of Selberg's 3/16 Theorem and Affine Sieve (2009) (119)
A Spectral Gap Theorem in $SU(d)$ (2011) (104)
On the Averages of Characteristic Polynomials From Classical Groups (2005) (86)
Spectra of elements in the group ring of SU(2) (1999) (77)
Expansion and random walks in SL_d(Z/p^n Z): II (2008) (70)
Random Matrices, Magic Squares and Matching Polynomials (2004) (70)
On the girth of random Cayley graphs (2007) (57)
Sieving and expanders (2006) (49)
Poisson–Dirichlet distribution for random Belyi surfaces (2005) (47)
Generalization of Selberg’s $$ \frac{3}{{16}} $$ theorem and affine sieve (2011) (47)
Markoff Triples and Strong Approximation (2015) (40)
Strong Uniform Expansion in SL(2, p) (2010) (36)
Expansion Of Product Replacement Graphs (2002) (29)
Uniform diameter bounds for some families of Cayley graphs (2004) (28)
Pseudomoments of the Riemann zeta-function and pseudomagic squares (2003) (26)
Counting formulas associated with some random matrix averages (2005) (25)
Optical and vibrational properties of toroidal carbon nanotubes. (2011) (25)
New results on expanders (2006) (18)
Spectral gaps in SU(d) (2010) (17)
On the Genus of a Random Riemann Surface (2001) (16)
Markoff Surfaces and Strong Approximation: 1 (2016) (16)
Expansion and random walks in $\mathrm {SL}_d(\mathbb {Z}/p^n\mathbb {Z})$: I (2008) (13)
An asymptotic formula for integer points on Markoff-Hurwitz varieties (2016) (12)
Ranks of Elliptic Curves and Random Matrix Theory: Some applications of symmetric functions theory in random matrix theory (2007) (11)
Eigenvalue spacings for quantized cat maps (2003) (6)
An asymptotic for Markoff-Hurwitz tuples (2016) (4)
An asymptotic formula for integer points on Markoff-Hurwitz surfaces (2016) (3)
Random walks and expansion in SLd(Z/pnZ) (2008) (2)
New tests of the correspondence between unitary eigenvalues and the zeros of Riemann's (2017) (1)
Strong uniform expansion in $\mathrm{SL}(2,p)$ (2009) (1)
MARKOFF TRIPLES AND STRONG APPROXIMATION TRIPLETS DE MARKOFF ET APPROXIMATION FORTE (2016) (0)
Veech relation in minimal flows 9 : 50-10 : 10 Coffee break 10 : 10-11 : 00 (2016) (0)
Graphs , Strong Ergodicity , and Superstrong Approximation (2014) (0)
Singular Adventures of Baron Bourgain in the Labyrinth of the Continuum (2020) (0)
Expander Graphs, Strong Ergodicity, and Superstrong Approximation (2014) (0)
Cover Picture: Optical and Vibrational Properties of Toroidal Carbon Nanotubes (Chem. Eur. J. 14/2011) (2011) (0)

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Alexander Gamburd's Academic­Influence.com Rankings