# Nets Katz

#7,484

Most Influential Person Now

Mathematics professor

## Nets Katz's AcademicInfluence.com Rankings

Nets Katzmathematics Degrees

Mathematics

#288

World Rank

#625

Historical Rank

#139

USA Rank

Measure Theory

#494

World Rank

#700

Historical Rank

#205

USA Rank

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Mathematics

## Nets Katz's Degrees

- PhD Mathematics Princeton University

## Why Is Nets Katz Influential?

(Suggest an Edit or Addition)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.

## Nets Katz's Published Works

### 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

## What Schools Are Affiliated With Nets Katz?

Nets Katz is affiliated with the following schools: