| On the Erdős distinct distances problem in the plane L Guth, NH Katz Annals of mathematics, 155-190, 2015 | 588 | 2015 |
| A sum-product estimate in finite fields, and applications J Bourgain, N Katz, T Tao Geometric & Functional Analysis GAFA 14 (1), 27-57, 2004 | 585 | 2004 |
| Some connections between Falconer's distance set conjecture, and sets of Furstenburg type NH Katz, T Tao arXiv preprint math/0101195, 2001 | 153 | 2001 |
| A cheap Caffarelli—Kohn—Nirenberg inequality for the Navier—Stokes equation with hyper-dissipation NH Katz, N Pavlović Geometric & Functional Analysis GAFA 12 (2), 355-379, 2002 | 150 | 2002 |
| Algebraic methods in discrete analogs of the Kakeya problem L Guth, NH Katz Advances in Mathematics 225 (5), 2828-2839, 2010 | 145 | 2010 |
| The Fuglede spectral conjecture holds for convex planar domains A Iosevich, N Katz, T Tao Mathematical Research Letters 10 (5), 559-569, 2003 | 133 | 2003 |
| A new entropy inequality for the Erdos distance problem NH Katz, G Tardos Contemporary Mathematics 342, 119-126, 2004 | 119 | 2004 |
| New bounds on cap sets M Bateman, N Katz Journal of the American Mathematical Society 25 (2), 585-613, 2012 | 118 | 2012 |
| An Improved Bound on the Minkowski Dimension of Besicovitch Sets in R3 NH Katz, I Laba, T Tao Annals of Mathematics, 383-446, 2000 | 105 | 2000 |
| Finite time blow-up for a dyadic model of the Euler equations N Katz, N Pavlović Transactions of the American Mathematical Society 357 (2), 695-708, 2005 | 100 | 2005 |
| A slight improvement to Garaev's sum product estimate NH Katz, CY Shen Proceedings of the American Mathematical Society, 2499-2504, 2008 | 95 | 2008 |
| New bounds on Kakeya problems N Katz, T Tao arXiv preprint math/0102135, 2001 | 94 | 2001 |
| Convex bodies with a point of curvature do not have Fourier bases A Iosevich, NH Katz, T Tao American journal of mathematics 123 (1), 115-120, 2001 | 83 | 2001 |
| Bounds on arithmetic projections, and applications to the Kakeya conjecture NH Katz, T Tao Mathematical Research Letters 6 (6), 625-630, 1999 | 82 | 1999 |
| Maximal operators over arbitrary sets of directions NH Katz | 72 | 1999 |
| Fourier bases and a distance problem of Erd\H os A Iosevich, N Katz, S Pedersen arXiv preprint math/0104092, 2001 | 62 | 2001 |
| Recent progress on the Kakeya conjecture N Katz, T Tao arXiv preprint math/0010069, 2000 | 62 | 2000 |
| An improved bound on the Hausdorff dimension of Besicovitch sets in ℝ³ N Katz, J Zahl Journal of the American Mathematical Society 32 (1), 195-259, 2019 | 53 | 2019 |
| On additive doubling and energy NH Katz, P Koester SIAM Journal on Discrete Mathematics 24 (4), 1684-1693, 2010 | 50 | 2010 |
| Garaev's inequality in finite fields not of prime order NH Katz, CY Shen arXiv preprint math/0703676, 2007 | 50 | 2007 |
