Researcher profile · Semantic Scholar

J. Bourgain

h-index: 102
Works: 551
Citations: 36K

Most-cited papers

The proof of the l 2 Decoupling Conjecture
J. Bourgain, C. Demeter
2015497 citations Open access
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Proof of the main conjecture in Vinogradov's mean value theorem for degrees higher than three
J. Bourgain, C. Demeter, L. Guth
2015368 citations Open access
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Decoupling, exponential sums and the Riemann zeta function
J. Bourgain
2014342 citations Open access
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A note on the Schrödinger maximal function
J. Bourgain
2016129 citations Open access
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Spectral gaps without the pressure condition
J. Bourgain, S. Dyatlov
2016119 citations Open access
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Strong illposedness of the incompressible Euler equation in integer Cm spaces
J. Bourgain, Dong Li
2014Geometric and Functional Analysis119 citations
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Decouplings for curves and hypersurfaces with nonzero Gaussian curvature
J. Bourgain, C. Demeter
2014115 citations Open access
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On an endpoint Kato-Ponce inequality
J. Bourgain, Dong Li
2014Differential and Integral Equations95 citations
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Fourier dimension and spectral gaps for hyperbolic surfaces
J. Bourgain, S. Dyatlov
2017Geometric and Functional Analysis92 citations Open access
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An Improved Estimate in the Restricted Isometry Problem
J. Bourgain
201488 citations
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Mean square of zeta function, circle problem and divisor problem revisited
J. Bourgain, N. Watt
201784 citations
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Markoff Triples and Strong Approximation
J. Bourgain, Alex Gamburd, P. Sarnak
201563 citations Open access
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A Problem on Sums of Two Squares
E. Bombieri, J. Bourgain
201461 citations Open access
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On the Vinogradov mean value
J. Bourgain
201654 citations Open access
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A new function space and applications
J. Bourgain, H. Brezis, P. Mironescu
201548 citations Open access
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Dimension-Free Estimates for Discrete Hardy-Littlewood Averaging Operators Over the Cubes in ℤd
J. Bourgain, Mariusz Mirek, E. Stein, Bla.zej Wr'obel
2019American Journal of Mathematics45 citations
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BMO‐Type Norms Related to the Perimeter of Sets
L. Ambrosio, J. Bourgain, H. Brezis, A. Figalli
201445 citations Open access
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On The Cauchy Problem for Periodic KDV-Type Equations
J. Bourgain
202041 citations
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Strong Ill-Posedness of the 3D Incompressible Euler Equation in Borderline Spaces
J. Bourgain, Dong Li
2019International mathematics research notices41 citations
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Sharp bounds for the cubic Parsell-Vinogradov system in two dimensions
J. Bourgain, C. Demeter, Shao-Ming Guo
201640 citations Open access
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Mean value estimates for Weyl sums in two dimensions
J. Bourgain, C. Demeter
2015Journal of the London Mathematical Society36 citations Open access
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A quantitative Oppenheim theorem for generic diagonal quadratic forms
J. Bourgain
201635 citations Open access
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A study guide for the l2 decoupling theorem
J. Bourgain, C. Demeter
201635 citations Open access
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A study guide for the $l^2$ Decoupling Theorem
J. Bourgain, C. Demeter
201634 citations
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On the Morse–Sard property and level sets of Wn,1 Sobolev functions on ℝn
J. Bourgain, M. Korobkov, Jan Kristensen
201534 citations
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New Bounds for the Discrete Fourier Restriction to the Sphere in 4D and 5D
J. Bourgain, C. Demeter
201431 citations
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On Dimension-Free Variational Inequalities for Averaging Operators in $${\mathbb{R}^d}$$Rd
J. Bourgain, Mariusz Mirek, E. Stein, Bla.zej Wr'obel
201728 citations
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On the Hardy–Littlewood Maximal Functions in High Dimensions: Continuous and Discrete Perspective
J. Bourgain, Mariusz Mirek, E. Stein, Bla.zej Wr'obel
2018Geometric Aspects of Harmonic Analysis27 citations Open access
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Anderson localization for two interacting quasiperiodic particles
J. Bourgain, I. Kachkovskiy
2018Geometric and Functional Analysis26 citations
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Spatial statistics for lattice points on the sphere I: Individual results
J. Bourgain, Z. Rudnick, P. Sarnak
201626 citations
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Decoupling inequalities and some mean-value theorems
J. Bourgain
201426 citations Open access
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Small gaps in the spectrum of the rectangular billiard
Valentin Blomer, J. Bourgain, Maksym Radziwiłł, Z. Rudnick
201625 citations Open access
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Additive Patterns in Multiplicative Subgroups
N. Alon, J. Bourgain
201425 citations
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Quantum Recurrence of a Subspace and Operator-Valued Schur Functions
J. Bourgain, F. Grünbaum, L. Velázquez, J. Wilkening
2014Communications in Mathematical Physics25 citations Open access
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Toward a unified theory of sparse dimensionality reduction in Euclidean space
J. Bourgain, S. Dirksen, Jelani Nelson
2015Geometric and Functional Analysis24 citations Open access
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Beyond Expansion II: Low-Lying Fundamental Geodesics
J. Bourgain, Alex Kontorovich
201424 citations Open access
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Decoupling for Perturbed Cones and the Mean Square of | ζ ( 12 + it ) |
J. Bourgain, N. Watt
201723 citations
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Galilean Boost and Non-uniform Continuity for Incompressible Euler
J. Bourgain, Dong Li
2019Communications in Mathematical Physics22 citations
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On a multi-parameter variant of the Bellow–Furstenberg problem
J. Bourgain, Mariusz Mirek, E. Stein, James Wright
2022Forum of Mathematics, Pi21 citations Open access
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Sidonicity and variants of Kaczmarz's problem
J. Bourgain, Mark Lewko
201521 citations Open access
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Decoupling for perturbed cones and mean square of $|\zeta(\frac 12+it)|$
J. Bourgain, N. Watt
201521 citations Open access
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Markoff Surfaces and Strong Approximation: 1
J. Bourgain, Alex Gamburd, P. Sarnak
201619 citations
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Decouplings for surfaces in R^4
J. Bourgain, C. Demeter
201519 citations
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Translation invariant forms on L p ( G )( 1 < p < ∞ )
J. Bourgain
201817 citations
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On discrete Hardy-Littlewood maximal functions over the balls in $\mathbb Z^d$: dimension-free estimates
J. Bourgain, Mariusz Mirek, E. Wróbel
201815 citations
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Ju n 20 10 Expansion in SL d ( Z / q Z ) , q arbitrary
J. Bourgain
202114 citations
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Decouplings for Real Analytic Surfaces of Revolution
J. Bourgain, C. Demeter, D'ominique Kemp
2019Lecture notes in mathematics14 citations Open access
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On a Homogenization Problem
J. Bourgain
201714 citations Open access
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Nonlinear Roth type theorems in finite fields
J. Bourgain, Mei-Chu Chang
201613 citations Open access
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UNIFORM CONGRUENCE COUNTING FOR SCHOTTKY SEMIGROUPS
J. Bourgain, Alex Kontorovich, Michael Magee
201613 citations
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P. Sarnak

×3

S. Dyatlov×2

Alex Gamburd×2

H. Brezis×2

Bla.zej Wr'obel×2

Dong Li×2

Z. Rudnick×2

Alex Kontorovich×2