Nets Hawk Katz

Applied Mathematics · 2000–2017

A researcher in the Science corpus: 15 papers; trusts 10 researchers and is trusted by 55 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 21 citations into it; #272 of 7,620 by trust here, #207 by citations
• Discrete Mathematics and Combinatorics — 17 citations into it; #75 of 2,017 by trust here, #38 by citations
• Mathematical Physics — 14 citations into it; #2,191 of 8,562 by trust here, #2,038 by citations
• Geometry and Topology — 10 citations into it; #800 of 7,422 by trust here, #562 by citations
• Computational Theory and Mathematics — 7 citations into it; #3,453 of 12,182 by trust here, #4,531 by citations
• Algebra and Number Theory — 5 citations into it; #364 of 2,864 by trust here, #254 by citations

Whom Nets Hawk Katz trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Jean Bourgain
2. Larry Guth
3. Terence Tao
4. T. Wolff
5. Zeev Dvir
6. William T. Gowers
7. I. Łaba
8. Herbert Koch
9. Jonathan Bennett
10. D. Tataru

Who trusts Nets Hawk Katz overall

1. Terence Tao
2. A. Cheskidov
3. Larry Guth
4. Jean Bourgain
5. Michael Hochman
6. M. Rudnev
7. Harald Andrés Helfgott
8. Moubariz Z. Garaev
9. Tuomas Orponen
10. Ilya D. Shkredov

Papers from Nets Hawk Katz's perspective

Ordered by how strongly the researchers Nets Hawk Katz trusts endorse each paper. Same corpus, a different order for every researcher.

1. Local smoothing type estimates on Lp for large p
2. An improved bound on the Minkowski dimension of Besicovitch sets in $\mathbb{R}^3$
3. Well-posedness for the Navier–Stokes Equations
4. A Sharp Bilinear Cone Restriction Estimate
5. A NEW PROOF OF SZEMER ´ EDI'S THEOREM
6. A new proof of Szemerédi's theorem
7. Bounds on Oscillatory Integral Operators Based on Multilinear Estimates
8. The discretized sum-product and projection theorems
9. On the Erdos distinct distance problem in the plane
10. Method of Modern Mathematical Physics

Their papers

• Some Connections between Falconer's Distance Set Conjecture and Sets of Furstenburg Type (2001) — 140 citations
• New Bounds on cap sets (2011) — 99 citations
• An improved bound on the Hausdorff dimension of Besicovitch sets in ℝ³ (2017) — 57 citations
• On the Erdős distinct distances problem in the plane (2015) — 432 citations
• On the Erdos distinct distance problem in the plane (2010) — 221 citations
• Algebraic methods in discrete analogs of the Kakeya problem (2008) — 137 citations
• A slight improvement to Garaev’s sum product estimate (2007) — 85 citations
• Finite time blow-up for a dyadic model of the Euler equations (2004) — 110 citations
• The Fuglede spectral conjecture holds for convex planar domains (2003) — 128 citations
• A sum-product estimate in finite fields, and applications (2003) — 548 citations
• A cheap Caffarelli—Kohn—Nirenberg inequality for the Navier—Stokes equation with hyper-dissipation (2001) — 174 citations
• New bounds for Kakeya problems (2001) — 92 citations
• Fourier bases and a distance problem of Erd\H os (2001) — 49 citations
• Recent progress on the Kakeya conjecture (2000) — 63 citations
• An improved bound on the Minkowski dimension of Besicovitch sets in $\mathbb{R}^3$ (2000) — 72 citations