Nets Katz

Q: What Schools Are Affiliated With Nets Katz

Nets Katz is affiliated with the following schools: University of Illinois Chicago, University of Pennsylvania, Rice University, Yale University, Indiana University Bloomington, Indiana University, California Institute of Technology, Princeton University

Nets Katz's AcademicInfluence.com Rankings

Nets Katz

Mathematics

#288

World Rank

#625

Historical Rank

#139

USA Rank

Measure Theory

#494

World Rank

#700

Historical Rank

#205

USA Rank

mathematics Degrees

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Mathematics

Nets Katz's Degrees

PhD Mathematics Princeton University

Why Is Nets Katz Influential?

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According to Wikipedia, Nets Hawk Katz is the W.L. Moody Professor of Mathematics at Rice University. He was a professor of Mathematics at Indiana University Bloomington until March 2013 and the IBM Professor of Mathematics at the California Institute of Technology until 2023.

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Nets Katz'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

A sum-product estimate in finite fields, and applications (2003) (498)
On the Erdős distinct distances problem in the plane (2015) (393)
On the Erdos distinct distance problem in the plane (2010) (217)
A cheap Caffarelli—Kohn—Nirenberg inequality for the Navier—Stokes equation with hyper-dissipation (2001) (141)
Algebraic methods in discrete analogs of the Kakeya problem (2008) (130)
Some Connections between Falconer's Distance Set Conjecture and Sets of Furstenburg Type (2001) (116)
The Fuglede spectral conjecture holds for convex planar domains (2003) (108)
Finite time blow-up for a dyadic model of the Euler equations (2004) (101)
Convex bodies with a point of curvature do not have Fourier bases (1999) (85)
New Bounds on cap sets (2011) (84)
A slight improvement to Garaev’s sum product estimate (2007) (81)
New bounds for Kakeya problems (2001) (80)
An improved bound on the Minkowski dimension of Besicovitch sets in R^3 (1999) (71)
An improved bound on the Minkowski dimension of Besicovitch sets in $\mathbb{R}^3$ (2000) (71)
BOUNDS ON ARITHMETIC PROJECTIONS, AND APPLICATIONS TO THE KAKEYA CONJECTURE (1999) (66)
WAVELETS: CALDERÓN-ZYGMUND AND MULTILINEAR OPERATORS (Cambridge Studies in Advanced Mathematics 48) (1999) (64)
Maximal operators over arbitrary sets of directions (1999) (64)
Recent progress on the Kakeya conjecture (2000) (56)
On Additive Doubling and Energy (2008) (39)
An improved bound on the Hausdorff dimension of Besicovitch sets in ℝ³ (2017) (38)
Remarks on Maximal Operators Over Arbitrary Sets of Directions (1999) (37)
Garaev's inequality in Finite Fields not of prime order (2007) (37)
Fourier bases and a distance problem of Erd\H os (2001) (36)
Matrix valued paraproducts (1997) (33)
C A ] 8 A pr 2 00 1 FOURIER BASES AND A DISTANCE PROBLEM OF ERDŐS (1999) (32)
A counterexample for maximal operators over a Cantor set of directions (1996) (29)
Kakeya sets in Cantor directions (2006) (27)
Haar multipliers, paraproducts, and weighted inequalities (1999) (23)
On the polynomial Wolff axioms (2018) (21)
The ecnode polynomial: a central object in incidence geometry (2014) (18)
On the Discretized Sum-Product Problem (2018) (16)
Checkerboards, Lipschitz functions and uniform rectifiability (1997) (15)
Approximate multiplicative groups in nilpotent Lie groups (2010) (15)
Fuglede conjecture holds for convex planar domains (2001) (15)
On the two weights problem for the Hilbert transform (1997) (15)
Remarks on the box problem (2002) (14)
Structure in additively nonsmoothing sets (2011) (10)
Pseudodifferential Operators on SU(2) (1996) (8)
On Freiman's Theorem in Nilpotent Groups (2009) (7)
A note on the slightly supercritical Navier Stokes equations in the plane (2012) (6)
The Grone Merris Conjecture and a quadratic eigenvalue problem (2005) (6)
On the CNF-complexity of bipartite graphs containing no squares (2012) (5)
On the Self Crossing Six Sided Figure Problem (1999) (5)
A new bound on partial sum-sets and difference-sets, and applications to the Kakeya conjecture (1999) (5)
A Kakeya maximal function estimate in four dimensions using planebrushes (2019) (4)
On arithmetic combinatorics and finite groups (2005) (4)
Approximate Aggregation in Dynamic Economies (2016) (3)
Elementary proofs and the sums differences problem (2006) (3)
Kakeya sets from lines in $SL_2$ (2022) (2)
Households, auctioneers, and aggregation (2022) (1)
On Sums, Products, and the multidimensional Falconer problem (2006) (1)
Pseudodifferential operators onSU(2) (1997) (1)
A model for studying double exponential growth in the two-dimensional Euler equations (2014) (1)
Structure of cell decompositions in Extremal Szemer\'edi-Trotter examples (2023) (1)
Preface (2021) (0)
C A ] 7 A pr 2 00 1 FUGLEDE CONJECTURE HOLDS FOR CONVEX PLANAR DOMAINS (2008) (0)
A pr 2 01 8 On the discretized sum-product problem (2018) (0)
On the CNF-complexity of bipartite graphs containing no K2,2's (2012) (0)
On the CNF-complexity of bipartite graphs containing no squares (2012) (0)
Nonnegative Grassman Chambers are Balls (2006) (0)
Approximate aggregation in the neoclassical growth model with ideosyncratic shocks (2014) (0)
On the polynomial Wolff axioms (2018) (0)
Calculus for Cranks (2020) (0)

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Other Resources About Nets Katz

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What Schools Are Affiliated With Nets Katz?

Nets Katz is affiliated with the following schools:

Nets Katz's Academic­Influence.com Rankings