Nets Hawk Katz

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All published works

Action	Title	Year	Authors
+	Structure of cell decompositions in Extremal Szemerédi-Trotter examples	2023	Nets Hawk Katz Olivine Silier
+ PDF Chat	Kakeya sets from lines in $SL_2$	2022	Nets Hawk Katz Shukun Wu Joshua Zahl
+	Kakeya sets from lines in $SL_2$	2022	Nets Hawk Katz Shukun Wu Joshua Zahl
+ PDF	A Kakeya maximal function estimate in four dimensions using planebrushes	2020	Nets Hawk Katz Joshua Zahl
+ PDF	On the Discretized Sum-Product Problem	2019	Larry Guth Nets Hawk Katz Joshua Zahl
+	A Kakeya maximal function estimate in four dimensions using planebrushes	2019	Nets Hawk Katz Joshua Zahl
+	A Kakeya maximal function estimate in four dimensions using planebrushes	2019	Nets Hawk Katz Joshua Zahl
+ PDF	On the polynomial Wolff axioms	2018	Nets Hawk Katz Keith M. Rogers
+	An improved bound on the Hausdorff dimension of Besicovitch sets in ℝ³	2018	Nets Hawk Katz Joshua Zahl
+	On the discretized sum-product problem	2018	Larry Guth Nets Hawk Katz Joshua Zahl
+	On the polynomial Wolff axioms.	2018	Nets Hawk Katz Keith M. Rogers
+	On the discretized sum-product problem	2018	Larry Guth Nets Hawk Katz Joshua Zahl
+	On the polynomial Wolff axioms	2018	Nets Hawk Katz Keith M. Rogers
+	An improved bound on the Hausdorff dimension of Besicovitch sets in $\mathbb{R}^3$	2017	Nets Hawk Katz Joshua Zahl
+	An improved bound on the Hausdorff dimension of Besicovitch sets in $\mathbb{R}^3$	2017	Nets Hawk Katz Joshua Zahl
+ PDF	A model for studying double exponential growth in the two-dimensional Euler equations	2015	Nets Hawk Katz Andrew Tapay
+ PDF	On the Erdős distinct distances problem in the plane	2014	Larry Guth Nets Hawk Katz
+	Approximate aggregation in the neoclassical growth model with ideosyncratic shocks	2014	Karsten O. Chipeniuk Nets Hawk Katz Todd B. Walker
+	The ecnode polynomial: a central object in incidence geometry	2014	Nets Hawk Katz
+	Approximate aggregation in the neoclassical growth model with ideosyncratic shocks	2014	Karsten O. Chipeniuk Nets Hawk Katz Todd B. Walker
+	Approximate aggregation in the neoclassical growth model with ideosyncratic shocks	2014	Karsten O. Chipeniuk Nets Hawk Katz Todd B. Walker
+	The flecnode polynomial: a central object in incidence geometry	2014	Nets Hawk Katz
+	A note on the slightly supercritical Navier Stokes equations in the plane	2012	Nets Hawk Katz Andrew Tapay
+	On the CNF-complexity of bipartite graphs containing no $K_{2,2}$'s	2012	Nets Hawk Katz
+ PDF	New bounds on cap sets	2011	Michael Bateman Nets Hawk Katz
+	Structure in additively nonsmoothing sets	2011	Michael Bateman Nets Hawk Katz
+	New Bounds on cap sets	2011	Michael Bateman Nets Hawk Katz
+	On the Erdýos distinct distance problem in the plane	2011	Larry Guth Nets Hawk Katz
+	Structure in additively nonsmoothing sets	2011	Michael G. Bateman Nets Hawk Katz
+	New Bounds on cap sets	2011	Michael G. Bateman Nets Hawk Katz
+	On the Erdos distinct distance problem in the plane	2010	Larry Guth Nets Hawk Katz
+ PDF Chat	Algebraic methods in discrete analogs of the Kakeya problem	2010	Larry Guth Nets Hawk Katz
+ PDF	Approximate multiplicative groups in nilpotent Lie groups	2010	David Fisher Nets Hawk Katz Irine Peng
+ PDF Chat	On Additive Doubling and Energy	2010	Nets Hawk Katz Paul Koester
+	On the Erdos distinct distance problem in the plane	2010	Larry Guth Nets Hawk Katz
+	On Freiman's Theorem in Nilpotent Groups	2009	David Fisher Nets Hawk Katz Irine Peng
+ PDF	A slight improvement to Garaev's sum product estimate	2008	Nets Hawk Katz Chun‐Yen Shen
+ PDF	Kakeya sets in Cantor directions	2008	Michael Bateman Nets Hawk Katz
+	On additive doubling and energy	2008	Nets Hawk Katz Paul Koester
+	Algebraic Methods in Discrete Analogs of the Kakeya Problem	2008	Larry Guth Nets Hawk Katz
+	Garaev's Inequality in finite fields not of prime order	2007	Nets Hawk Katz Chun‐Yen Shen
+	A Slight Improvement to Garaev's Sum Product Estimate	2007	Nets Hawk Katz Chun‐Yen Shen
+	On Sums, Products, and the multidimensional Falconer problem	2006	Nets Hawk Katz
+	Elementary proofs and the sums differences problem.	2006	Nets Hawk Katz
+	Nonnegative Grassman Chambers are Balls	2006	Chris Connell Nets Hawk Katz
+	Kakeya Sets in Cantor directions	2006	Michael Bateman Nets Hawk Katz
+ PDF	On arithmetic combinatorics and finite groups	2005	Nets Hawk Katz
+	The Grone Merris Conjecture and a quadratic eigenvalue problem	2005	Nets Hawk Katz
+	Finite time blow-up for a dyadic model of the Euler equations	2004	Nets Hawk Katz Nataša Pavlović
+ PDF Chat	A sum-product estimate in finite fields, and applications	2004	Jean Bourgain Nets Hawk Katz Terence Tao
+ PDF	The Fuglede spectral conjecture holds for convex planar domains	2003	Alex Iosevich Nets Hawk Katz Terence Tao
+	A sum-product estimate in finite fields, and applications	2003	Jean Bourgain Nets Hawk Katz Terence Tao
+ PDF	A partial result on Lipschitz differentiation	2003	Nets Hawk Katz
+ PDF	Remarks on the box problem	2002	Nets Hawk Katz Elliot Krop Mauro Maggioni
+ PDF Chat	Convex bodies with a point of curvature do not have Fourier bases	2001	Alex Iosevich Nets Hawk Katz Terry Tao
+	Fuglede conjecture holds for convex planar domains	2001	Alex Iosevich Nets Hawk Katz Terry Tao
+	Fourier bases and a distance problem of Erd\H os	2001	Alex Iosevich Nets Hawk Katz Steen Pedersen
+	Some connections between Falconer's distance set conjecture, and sets of Furstenburg type	2001	Nets Hawk Katz Terence Tao
+	A cheap Caffarelli-Kohn-Nirenberg inequality for Navier-Stokes equations with hyper-dissipation	2001	Nets Hawk Katz Nataša Pavlović
+	New bounds on Kakeya problems	2001	Nets Hawk Katz Terence Tao
+ PDF Chat	An Improved Bound on the Minkowski Dimension of Besicovitch Sets in ℝ 3	2000	Nets Hawk Katz Izabella Łaba Terence Tao
+	Recent progress on the Kakeya conjecture	2000	Nets Hawk Katz Terence Tao
+	Remarks on Maximal Operators Over Arbitrary Sets of Directions	1999	Nets Hawk Katz
+	Maximal operators over arbitrary sets of directions	1999	Nets Hawk Katz
+	Haar multipliers, paraproducts, and weighted inequalities	1999	Nets Hawk Katz María Pereyra
+	A new bound on partial sum-sets and difference-sets, and applications to the Kakeya conjecture	1999	Nets Hawk Katz Terence Tao
+ PDF	Bounds on arithmetic projections, and applications to the Kakeya conjecture	1999	Nets Hawk Katz Terence Tao
+	On the Self Crossing Six Sided Figure Problem	1999	Nets Hawk Katz
+	An improved bound on the Minkowski dimension of Besicovitch sets in R^3	1999	Nets Hawk Katz Izabella Łaba Terence Tao
+	Convex bodies with a point of curvature do not have Fourier bases	1999	Alex Iosevich Nets Hawk Katz Terence Tao
+ PDF	Fourier bases and a distance problem of Erd\H os	1999	Alex Iosevich Nets Hawk Katz Steen Pedersen
+ PDF	Checkerboards, Lipschitz functions and uniform rectifiability	1997	Peter W. Jones Nets Hawk Katz Ana Vargas
+ PDF	On the two weights problem for the Hilbert transform	1997	Nets Hawk Katz María Pereyra
+	Pseudodifferential operators onSU(2)	1997	Frank Geshwind Nets Hawk Katz
+	Matrix valued paraproducts	1997	Nets Hawk Katz
+	Pseudodifferential Operators on SU(2)	1996	Frank Geshwind Nets Hawk Katz
+ PDF	A counterexample for maximal operators over a Cantor set of directions	1996	Nets Hawk Katz

Common Coauthors

Coauthor	Papers Together
Terence Tao	11
Joshua Zahl	11
Larry Guth	9
Alex Iosevich	6
Michael Bateman	5
Todd B. Walker	3
Karsten O. Chipeniuk	3
Chun‐Yen Shen	3
Keith M. Rogers	3
María Pereyra	2
Jean Bourgain	2
Izabella Łaba	2
Frank Geshwind	2
Paul Koester	2
Andrew Tapay	2
Terry Tao	2
Irine Peng	2
David Fisher	2
Steen Pedersen	2
Shukun Wu	2
Nataša Pavlović	2
Michael G. Bateman	2
Elliot Krop	1
Ana Vargas	1
Olivine Silier	1
Chris Connell	1
Peter W. Jones	1
Mauro Maggioni	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	An Improved Bound on the Minkowski Dimension of Besicovitch Sets in ℝ 3	2000	Nets Hawk Katz Izabella Łaba Terence Tao	12
+ PDF	An improved bound for Kakeya type maximal functions	1995	Thomas Wolff	12
+	On the Dimension of Kakeya Sets and Related Maximal Inequalities	1999	Jean Bourgain	9
+ PDF	Recent work connected with the Kakeya problem	2003	Thomas Wolff	9
+	A New Proof of Szemer�di's Theorem for Arithmetic Progressions of Length Four	1998	W. T. Gowers	7
+	On Sets of Distances of <i>n</i> Points	1970	P. Erdős	7
+	Besicovitch type maximal operators and applications to fourier analysis	1991	Jean Bourgain	7
+	The discretized sum-product and projection theorems	2010	Jean Bourgain	6
+ PDF	A mixed norm estimate for the X-ray transform	1998	Thomas Wolff	6
+ PDF Chat	Polynomial Wolff axioms and Kakeya-type estimates in R4	2018	Larry Guth Joshua Zahl	6
+ PDF	The endpoint case of the Bennett–Carbery–Tao multilinear Kakeya conjecture	2010	Larry Guth	6
+ PDF	Necessary density conditions for sampling and interpolation of certain entire functions	1967	H. J. Landau	6
+	A Geometric Inequality with Applications to the Kakeya Problem in Three Dimensions	1998	Wilhelm Schlag	6
+ PDF	Recent progress on the Kakeya conjecture	2002	N. Katz Terence Tao	6
+	Some remarks on the Kakeya problem	1971	Roy O. Davies	6
+	Extremal problems in discrete geometry	1983	Endre Szemerédi W. T. Trotter	6
+	Some connections between Falconer's distance set conjecture, and sets of Furstenburg type	2001	Nets Hawk Katz Terence Tao	6
+ PDF	How large are the spectral gaps?	2000	Alex Iosevich Steen Pedersen	5
+	The Kakeya Maximal Function and the Spherical Summation Multipliers	1977	Antonio Córdoba	5
+	On the size of Kakeya sets in finite fields	2008	Zeev Dvir	5
+ PDF Chat	An Explicit Sum-Product Estimate in Fp	2007	M. Z. Garaev	5
+ PDF	A bilinear approach to the restriction and Kakeya conjectures	1998	Terence Tao Ana Vargas Luis Vega	4
+	On distinct sums and distinct distances	2003	Gábor Tardos	4
+ PDF	On the number of sums and products	1997	György Elekes	4
+	Orthogonal harmonic analysis of fractal measures	1998	Palle E. T. Jørgensen Steen Pedersen	4
+ PDF	Volumes of tubular neighbourhoods of real algebraic varieties	1993	Richard Wongkew	4
+ PDF	On the multilinear restriction and Kakeya conjectures	2006	Jonathan Bennett Anthony Carbery Terence Tao	4
+	Additive Combinatorics	2006	Terence Tao Van H. Vu	4
+ PDF	Borel subrings of the reals	2002	Gerald A. Edgar Chris Miller	4
+ PDF	The number of different distances determined by a set of points in the Euclidean plane	1992	Fan Chung Endre Szemerédi W. T. Trotter	4
+	Fourier Transforms Related to Convex Sets	1962	Carl Herz	4
+ PDF Chat	A discretized Severi-type theorem with applications to harmonic analysis	2018	Joshua Zahl	4
+ PDF Chat	Spectral pairs in cartesian coordinates	1999	Palle E. T. Jørgensen Steen Pedersen	4
+ PDF	Distinct Distances in the Plane	2001	József Solymosi Cs. D. Tóth	4
+ PDF	A slight improvement to Garaev's sum product estimate	2008	Nets Hawk Katz Chun‐Yen Shen	4
+ PDF	Non-symmetric convex domains have no basis of exponentials	2000	Mihail N. Kolountzakis	4
+ PDF Chat	A sum-product estimate in finite fields, and applications	2004	Jean Bourgain Nets Hawk Katz Terence Tao	4
+ PDF	Combinatorial complexity bounds for arrangements of curves and spheres	1990	Kenneth L. Clarkson Herbert Edelsbrunner Leonidas Guibas Micha Sharir Emo Welzl	3
+ PDF	Bounds on arithmetic projections, and applications to the Kakeya conjecture	1999	Nets Hawk Katz Terence Tao	3
+ PDF Chat	Bounds on Oscillatory Integral Operators Based on Multilinear Estimates	2011	Jean Bourgain Larry Guth	3
+ PDF Chat	Incidences in three dimensions and distinct distances in the plane	2010	György Elekes Micha Sharir	3
+	Generalized “sandwich” theorems	1942	A. H. Stone John W. Tukey	3
+	A statistical theorem of set addition	1994	Antal Balog Endre Szemer�di	3
+ PDF	On the Erdős distinct distances problem in the plane	2014	Larry Guth Nets Hawk Katz	3
+	Commuting self-adjoint partial differential operators and a group theoretic problem	1974	Bent Fuglede	3
+	Sums of Finite Sets	1996	Imre Z. Ruzsa	3
+	Is a linear space contained in a submanifold? – On the number of derivatives needed to tell	1999	J. M. Landsberg	3
+	A remark on a maximal function over a Cantor set of directions	1995	Ana Vargas	3
+	On the Erdős-Volkmann and Katz-Tao ring conjectures	2003	Jean Bourgain	3
+ PDF	Directional operators and radial functions on the plane	1995	Javier Duoandikoetxea Ana Vargas	3