W. T. Gowers

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All published works

Action	Title	Year	Authors
+ PDF Chat	Data for Mathematical Copilots: Better Ways of Presenting Proofs for Machine Learning	2024	Simon Frieder Jonas Bayer Katherine M. Collins Julius Berner Jacob Loader András Juhász Fabian Ruehle Sean Welleck Gabriel Poesia Ryan‐Rhys Griffiths
+ PDF	Evaluating language models for mathematics through interactions	2024	Katherine M. Collins Albert Q. Jiang Simon Frieder Lionel Wong Miri Zilka Umang Bhatt Thomas Lukasiewicz Yuhuai Wu Joshua B. Tenenbaum William Hart
+ PDF Chat	Marton's Conjecture in abelian groups with bounded torsion	2024	W. T. Gowers Ben Green Freddie Manners Terence Tao
+ PDF	A counterexample to a strengthening of a question of V. D. Milman	2023	W. T. Gowers Katarzyna Wyczesany
+	Evaluating Language Models for Mathematics through Interactions	2023	Katherine M. Collins Albert Q. Jiang Simon Frieder Lionel Wong Miri Zilka Umang Bhatt Thomas Lukasiewicz Yuhuai Wu Joshua B. Tenenbaum William E. Hart
+	On a conjecture of Marton	2023	W. T. Gowers Ben Green Freddie Manners Terence Tao
+	Mixing in Non-Quasirandom Groups	2022	W. T. Gowers Emanuele Viola
+ PDF	High-dimensional tennis balls	2022	W. T. Gowers Katarzyna Wyczesany
+	The slice rank of a direct sum	2021	W. T. Gowers
+ PDF Chat	A note on extensions of multilinear maps defined on multilinear varieties	2021	W. T. Gowers Luka Milićević
+ PDF Chat	The length of an <i>s</i>-increasing sequence of <i>r</i>-tuples	2021	W. T. Gowers Jason Long
+	A counterexample to a strengthening of a question of Milman	2021	W. T. Gowers Katarzyna Wyczesany
+ PDF	Generalizations of the Ruzsa–Szemerédi and rainbow Turán problems for cliques	2020	W. T. Gowers Barnabás Janzer
+ PDF	Partial associativity and rough approximate groups	2020	W. T. Gowers Jason Long
+ PDF Chat	A uniform set with fewer than expected arithmetic progressions of length 4	2020	W. T. Gowers
+	A bilinear version of Bogolyubov’s theorem	2020	W. T. Gowers Luka Milićević
+	Generalizations of the Ruzsa-Szemer\'edi and rainbow Tur\'an problems for cliques	2020	W. T. Gowers Barnabás Janzer
+	Generalizations of the Ruzsa-Szemerédi and rainbow Turán problems for cliques	2020	W. T. Gowers Barnabás Janzer
+ PDF	Improved bounds for the Erdős-Rogers function	2020	W. T. Gowers Oliver Janzer
+	An inverse theorem for Freiman multi-homomorphisms	2020	W. T. Gowers Luka Milićević
+	Partial associativity and rough approximate groups	2019	W. T. Gowers Jason Long
+	A note on extensions of multilinear maps defined on multilinear varieties	2019	W. T. Gowers Luka Milićević
+ PDF	Interleaved Group Products	2019	W. T. Gowers Emanuele Viola
+ PDF	None	2019	W. T. Gowers Oliver Janzer
+	Improved bounds for the Erdős-Rogers function	2018	W. T. Gowers Oliver Janzer
+	Interleaved group products	2018	W. T. Gowers Emanuele Viola
+	Subsets of Cayley graphs that induce many edges	2018	W. T. Gowers Oliver Janzer
+ PDF	Inverse and stability theorems for approximate representations of finite groups	2017	W. T. Gowers O. Hatami
+ PDF	Freiman homomorphisms on sparse random sets	2017	David Conlon W. T. Gowers
+	A quantitative inverse theorem for the $U^4$ norm over finite fields	2017	W. T. Gowers Luka Milićević
+	A bilinear version of Bogolyubov's theorem	2017	W. T. Gowers Luka Milićević
+ PDF	Probabilistic combinatorics and the recent work of Peter Keevash	2016	W. T. Gowers
+ PDF	Generalizations of Fourier analysis, and how to apply them	2016	W. T. Gowers
+ PDF	Combinatorial theorems in sparse random sets	2016	David Conlon W. T. Gowers
+	Freiman homomorphisms on sparse random sets	2016	David Conlon W. T. Gowers
+	Generalizations of Fourier analysis, and how to apply them	2016	W. T. Gowers
+	Erd\H{o}s and Arithmetic Progressions	2015	W. T. Gowers
+	Inverse and stability theorems for approximate representations of finite groups	2015	W. T. Gowers O. Hatami
+	Erdős and Arithmetic Progressions	2015	W. T. Gowers
+ PDF Chat	On the KŁR conjecture in random graphs	2014	David Conlon W. T. Gowers Wojciech Samotij Mathias Schacht
+ PDF	Mini-Monomath	2014	W. T. Gowers
+	The Mathematics of Endre Szemerédi	2013	W. T. Gowers
+	A fully automatic problem solver with human-style output	2013	Mohan Ganesalingam W. T. Gowers
+	Erdős and Arithmetic Progressions	2013	W. T. Gowers
+	Is Mathematics Discovered or Invented?	2012	W. T. Gowers
+ PDF Chat	Linear forms and quadratic uniformity for functions on ℤ N	2011	W. T. Gowers Jason B. Wolf
+ PDF Chat	LINEAR FORMS AND QUADRATIC UNIFORMITY FOR FUNCTIONS ON	2011	W. T. Gowers Jason B. Wolf
+ PDF Chat	Linear Forms and Higher-Degree Uniformity for Functions On $${\mathbb{F}^{n}_{p}}$$	2011	W. T. Gowers Jason B. Wolf
+	How do IMO Problems Compare with Research Problems?	2011	W. T. Gowers
+ PDF Chat	Linear forms and higher-degree uniformity for functions on $\mathbb{F}_p^n$	2011	W. T. Gowers Julia Wolf
+ PDF Chat	Decompositions, approximate structure, transference, and the Hahn-Banach theorem	2010	W. T. Gowers
+	Combinatorial theorems in sparse random sets	2010	David Conlon W. T. Gowers
+	Polymath and The Density Hales-Jewett Theorem	2010	W. T. Gowers
+	Rough Structure and Classification	2010	W. T. Gowers
+ PDF Chat	The true complexity of a system of linear equations	2009	W. T. Gowers Jason B. Wolf
+	Analytic Number Theory: Essays in Honour of Klaus Roth	2009	W. W. L Chen W. T. Gowers H. Halberstam Wolfgang M. Schmidt R. C. Vaughan
+	Dimension engl.	2008	W. T. Gowers
+	Quasirandom Groups	2008	W. T. Gowers
+	Hypergraph regularity and the multidimensional Szemerédi theorem	2007	W. T. Gowers
+	Quasirandomness, Counting and Regularity for 3-Uniform Hypergraphs	2006	W. T. Gowers
+	An infinite Ramsey theorem and some Banach-space dichotomies	2005	W. T. Gowers
+	Ramsey Methods in Banach Spaces	2003	W. T. Gowers
+	4. Limits and infinity	2002	W. T. Gowers
+	3. Proofs	2002	W. T. Gowers
+	Mathematics	2002	W. T. Gowers
+ PDF Chat	An Infinite Ramsey Theorem and Some Banach-Space Dichotomies	2002	W. T. Gowers
+	Mathematics: A Very Short Introduction	2002	W. T. Gowers
+	The importance of mathematics : Clay Mathematics Institute Millennium Meeting, Collège de France, Paris, May 24-25, 2000	2002	W. T. Gowers
+	A new proof of Szemerédi's theorem	2001	W. T. Gowers
+	Combinatorics in the service of mathematics	2000	W. T. Gowers
+	A New Proof of Szemer�di's Theorem for Arithmetic Progressions of Length Four	1998	W. T. Gowers
+	Polytope Approximations of the Unit Ball of lpn	1998	W. T. Gowers
+	A Remark about the Scalar-Plus-Compact Problem	1998	W. T. Gowers
+	Banach Spaces with Few Operators	1998	W. T. Gowers
+	Lower bounds of tower type for Szemerédi's uniformity lemma	1997	W. T. Gowers
+ PDF Chat	Banach spaces with small spaces of operators	1997	W. T. Gowers B. Maurey
+	A new dichotomy for Banach spaces	1996	W. T. Gowers
+	An Almost <i>m</i>-wise Independent Random Permutation of the Cube	1996	W. T. Gowers
+	A Solution to the Schroeder-Bernstein Problem for Banach Spaces	1996	W. T. Gowers
+	Recent Results in the Theory of Infinite-Dimensional Banach Spaces	1995	W. T. Gowers
+	A Hereditarily Indecomposable Space with an Asymptotic Unconditional Basis	1995	W. T. Gowers
+	A Solution to Banach's Hyperplane Problem	1994	W. T. Gowers
+	A Banach Space Not Containing c 0 , l 1 or a Reflexive Subspace	1994	W. T. Gowers
+	A finite-dimensional normed space with two non-equivalent symmetric bases	1994	W. T. Gowers
+ PDF	A Banach space not containing $c\sb 0,\ l\sb 1$ or a reflexive subspace	1994	W. T. Gowers
+	Banach spaces with small spaces of operators	1994	W. T. Gowers B. Maurey
+ PDF	The Unconditional Basic Sequence Problem	1993	W. T. Gowers B. Maurey
+ PDF	The unconditional basic sequence problem	1993	W. T. Gowers B. Maurey
+	Lipschitz functions on classical spaces	1992	W. T. Gowers
+	Symmetric sequences in finite-dimensional normed spaces	1991	W. T. Gowers
+	Symmetric block bases of sequences with large average growth	1990	W. T. Gowers
+	Symmetric block bases in finite-dimensional normed spaces	1989	W. T. Gowers

Common Coauthors

Coauthor	Papers Together
Luka Milićević	6
David Conlon	5
Oliver Janzer	4
Jason B. Wolf	4
B. Maurey	4
Emanuele Viola	3
Katherine M. Collins	3
Simon Frieder	3
Barnabás Janzer	3
Adrian Weller	3
Katarzyna Wyczesany	3
Jason Long	3
Yuhuai Wu	2
Umang Bhatt	2
O. Hatami	2
Mateja Jamnik	2
Freddie Manners	2
Terence Tao	2
Joshua B. Tenenbaum	2
Miri Zilka	2
Albert Q. Jiang	2
Thomas Lukasiewicz	2
Ben Green	2
Lionel Wong	2
Jonas Bayer	1
H. Halberstam	1
Wenda Li	1
Mohan Ganesalingam	1
William E. Hart	1
Sean Welleck	1
Anirudh Goyal	1
R. C. Vaughan	1
Jacob Loader	1
W. W. L Chen	1
Ryan‐Rhys Griffiths	1
Julia Wolf	1
Thomas Lukasiewicz	1
William Hart	1
Wolfgang M. Schmidt	1
Fabian Ruehle	1
Wojciech Samotij	1
Gabriel Poesia	1
Wenda Li	1
Mathias Schacht	1
András Juhász	1
Julius Berner	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	A new proof of Szemerédi's theorem	2001	W. T. Gowers	16
+	On Certain Sets of Integers	1953	K. F. Roth	14
+ PDF	The primes contain arbitrarily long arithmetic progressions	2008	Benjamin Green Terence Tao	11
+	The counting lemma for regular k-uniform hypergraphs	2006	Brendan Nagle Vojtěch Rödl Mathias Schacht	11
+ PDF	AN INVERSE THEOREM FOR THE GOWERS $U^3(G)$ NORM	2008	Ben Green Terence Tao	11
+ PDF Chat	An arbitrarily distortable Banach space	1991	Thomas Schlumprecht	10
+ PDF	The unconditional basic sequence problem	1993	W. T. Gowers B. Maurey	10
+ PDF	On sets of integers containing k elements in arithmetic progression	1975	Endre Szemerédi	10
+ PDF	The distortion problem	1994	Edward Odell Thomas Schlumprecht	9
+	On Triples in Arithmetic Progression	1999	Jean Bourgain	9
+	A New Proof of Szemer�di's Theorem for Arithmetic Progressions of Length Four	1998	W. T. Gowers	9
+	Integer Sets Containing No Arithmetic Progressions	1987	D. R. Heath‐Brown	8
+	Quasirandom Groups	2008	W. T. Gowers	8
+	Generalized arithmetical progressions and sumsets	1994	Imre Z. Ruzsa	8
+ PDF Chat	Decompositions, approximate structure, transference, and the Hahn-Banach theorem	2010	W. T. Gowers	7
+ PDF	Hypergraph regularity and the multidimensional Szemerédi theorem	2007	William Timothy Gowers	7
+	Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions	1977	Harry Furstenberg	7
+ PDF	An Inverse Theorem for the Uniformity Seminorms Associated with the Action of $${{\mathbb {F}^{\infty}_{p}}}$$	2010	Vitaly Bergelson Terence Tao Tamar Ziegler	7
+	Quasi-random graphs	1989	Fan Chung Ronald Graham R. Wilson	7
+ PDF	Linear equations in primes	2010	Ben Green Terence Tao	7
+	A variant of the hypergraph removal lemma	2006	Terence Tao	7
+	A Solution to Banach's Hyperplane Problem	1994	W. T. Gowers	7
+	A density version of the Hales-Jewett theorem	1991	Hillel Fürstenberg Yitzhak Katznelson	6
+	REGULAR PARTITIONS OF GRAPHS	1975	Endre Szemerédi	6
+	Regularity Lemma for k‐uniform hypergraphs	2004	Vojtěch Rödl Jozef Skokan	6
+	Integer sets containing no arithmetic progressions	1990	Endre Szemerédi	6
+	On Sets of Integers Which Contain No Three Terms in Arithmetical Progression	1946	Felix Behrend	6
+	Quasirandomness, Counting and Regularity for 3-Uniform Hypergraphs	2006	W. T. Gowers	5
+	Quasi-random subsets of Zn	1992	Fan Chung Ronald Graham	5
+ PDF	Polynomial extensions of van der Waerden’s and Szemerédi’s theorems	1996	Vitaly Bergelson A. Leibman	5
+	Classical Banach Spaces I: Sequence Spaces	1977	Lior Tzafriri Lior Tzafriri Joram Lindenstrauss Joram Lindenstrauss	5
+	Uniformly Non-Square Banach Spaces	1964	Robert James	5
+ PDF Chat	Linear Forms and Higher-Degree Uniformity for Functions On $${\mathbb{F}^{n}_{p}}$$	2011	W. T. Gowers Jason B. Wolf	5
+ PDF	On Roth's theorem on progressions	2011	Tom Sanders	5
+	Roth’s theorem on progressions revisited	2008	Jean Bourgain	5
+	A statistical theorem of set addition	1994	Antal Balog Endre Szemer�di	5
+	A new proof that analytic sets are Ramsey	1974	Erik Ellentuck	5
+	Linear Equations in Primes	2006	Ben Green Terence Tao	5
+ PDF	On the Bogolyubov–Ruzsa lemma	2012	Tom Sanders	4
+ PDF	A Quantitative Ergodic Theory Proof of Szemerédi's Theorem	2006	Terence Tao	4
+ PDF	Nonconventional ergodic averages and nilmanifolds	2005	Bernard Host Bryna Kra	4
+ PDF Chat	The true complexity of a system of linear equations	2009	W. T. Gowers Jason B. Wolf	4
+	Asymptotic Theory of Finite Dimensional Normed Spaces	1986	Vitali Milman Gideon Schechtman	4
+ PDF	A new proof of the graph removal lemma	2011	Jacob Fox	4
+	Independent sets in hypergraphs	2014	József Balogh Robert Morris Wojciech Samotij	4
+ PDF	Dense Subsets of Pseudorandom Sets	2008	Omer Reingold Luca Trevisan Madhur Tulsiani Salil Vadhan	4
+	Extremal problems on set systems	2002	Péter Frankl Vojtěch Rödl	4
+ PDF	The infamous upper tail	2002	Svante Janson Andrzej Ruciński	4
+	The Uniformity Lemma for hypergraphs	1992	Péter Frankl V. Rödl	4
+	An ergodic Szemerédi theorem for commuting transformations	1978	Hillel Fürstenberg Yitzhak Katznelson	4