Matthew Tointon

Generating author description...

All published works

Action	Title	Year	Authors
+ PDF Chat	Residually finite groups with uniformly almost flat quotients	2024	Dajing Guo Matthew Tointon
+	Non-triviality of the phase transition for percolation on finite transitive graphs	2024	Tom Hutchcroft Matthew Tointon
+ PDF Chat	Spread-out percolation on transitive graphs of polynomial growth	2024	Panagiotis Spanos Matthew Tointon
+ PDF Chat	Balls in groups: volume, structure and growth	2024	Romain Tessera Matthew Tointon
+ PDF Chat	Geometric amenability in totally disconnected locally compact groups	2023	Romain Tessera Matthew Tointon
+	New bounds in the discrete analogue of Minkowski's second theorem	2023	Matthew Tointon
+	Small doubling implies small tripling at large scales	2023	Romain Tessera Matthew Tointon
+ PDF Chat	Explicit universal minimal constants for polynomial growth of groups	2022	Russell Lyons Avinoam Mann Romain Tessera Matthew Tointon
+	Geometric amenability in totally disconnected locally compact groups	2022	Romain Tessera Matthew Tointon
+ PDF Chat	Probabilistic nilpotence in infinite groups	2021	Armando Martino Matthew Tointon Motiejus Valiunas Enric Ventura
+ PDF Chat	A Finitary Structure Theorem for Vertex-Transitive Graphs of Polynomial Growth	2021	Romain Tessera Matthew Tointon
+	Non-triviality of the phase transition for percolation on finite transitive graphs	2021	Tom Hutchcroft Matthew Tointon
+ PDF Chat	Commuting probabilities of infinite groups	2020	Matthew Tointon
+ PDF Chat	A Brief Introduction to Approximate Groups	2020	Matthew Tointon
+	Sharp relations between volume growth, isoperimetry and resistance in vertex-transitive graphs	2020	Romain Tessera Matthew Tointon
+	Explicit universal minimal constants for polynomial growth of groups	2020	Russell Lyons Avinoam Mann Romain Tessera Matthew Tointon
+	Sharp relations between volume growth, isoperimetry and resistance in vertex-transitive graphs	2020	Romain Tessera Matthew Tointon
+	Coset Progressions and Bohr Sets	2019	Matthew Tointon
+	Arbitrary Approximate Subgroups of GLn(C)	2019	Matthew Tointon
+	Soluble Approximate Subgroups of GLn(C)	2019	Matthew Tointon
+	Preface	2019	Matthew Tointon
+	Basic Concepts	2019	Matthew Tointon
+	Small Doubling in Abelian Groups	2019	Matthew Tointon
+	Index	2019	Matthew Tointon
+	Arbitrary Approximate Groups	2019	Matthew Tointon
+	Residually Nilpotent Approximate Groups	2019	Matthew Tointon
+	Introduction	2019	Matthew Tointon
+	Applications to Growth in Groups	2019	Matthew Tointon
+	Nilpotent Groups, Commutators and Nilprogressions	2019	Matthew Tointon
+	Nilpotent Approximate Groups	2019	Matthew Tointon
+	Introduction to Approximate Groups	2019	Matthew Tointon
+ PDF Chat	Polylogarithmic bounds in the nilpotent Freiman theorem	2019	Matthew Tointon
+	A finitary structure theorem for vertex-transitive graphs of polynomial growth	2019	Romain Tessera Matthew Tointon
+	Raconte-moi... les groupes approximatifs	2019	Matthew Tointon
+	A brief introduction to approximate groups	2019	Matthew Tointon
+ PDF Chat	Approximate subgroups of residually nilpotent groups	2019	Matthew Tointon
+	A finitary structure theorem for vertex-transitive graphs of polynomial growth	2019	Romain Tessera Matthew Tointon
+	A brief introduction to approximate groups	2019	Matthew Tointon
+	Polylogarithmic bounds in the nilpotent Freiman theorem	2018	Matthew Tointon
+ PDF Chat	None	2018	Romain Tessera Matthew Tointon
+ PDF Chat	The Mahler Conjecture in Two Dimensions via the Probabilistic Method	2018	Matthew Tointon
+	Probabilistic nilpotence in infinite groups	2018	Armando Martino Matthew Tointon Motiejus Valiunas Enric Ventura
+ PDF Chat	The asymptotic dimension of box spaces of virtually nilpotent groups	2018	Thiebout Delabie Matthew Tointon
+	Polylogarithmic bounds in the nilpotent Freiman theorem	2018	Matthew Tointon
+	Probabilistic nilpotence in infinite groups	2018	Armando Martino Matthew Tointon Motiejus Valiunas Enric Ventura
+	Scaling limits of Cayley graphs with polynomially growing balls	2017	Romain Tessera Matthew Tointon
+	The Mahler conjecture in two dimensions via the probabilistic method	2017	Matthew Tointon
+	Some results on the probability that two elements of an amenable group commute	2017	Matthew Tointon
+	The asymptotic dimension of box spaces of virtually nilpotent groups	2017	Thiebout Delabie Matthew Tointon
+	The Mahler conjecture in two dimensions via the probabilistic method	2017	Matthew Tointon
+	The asymptotic dimension of box spaces of virtually nilpotent groups	2017	Thiebout Delabie Matthew Tointon
+	Scaling limits of Cayley graphs with polynomially growing balls	2017	Romain Tessera Matthew Tointon
+	Horofunctions on graphs of linear growth	2016	Matthew Tointon Ariel Yadin
+	Polynomials and harmonic functions on discrete groups	2016	Tom Meyerovitch Idan Perl Matthew Tointon Ariel Yadin
+ PDF Chat	Characterisations of algebraic properties of groups in terms of harmonic functions	2016	Matthew Tointon
+	Horofunctions on graphs of linear growth	2016	Matthew Tointon Ariel Yadin
+	Properness of nilprogressions and the persistence of polynomial growth of given degree	2016	Romain Tessera Matthew Tointon
+	Horofunctions on graphs of linear growth	2016	Matthew Tointon Ariel Yadin
+	Nilprogressions and groups with moderate growth	2015	Emmanuel Breuillard Matthew Tointon
+	Approximate subgroups of residually nilpotent groups	2015	Matthew Tointon
+	Nilprogressions and groups with moderate growth	2015	Emmanuel Breuillard Matthew Tointon
+	Polynomials and harmonic functions on discrete groups	2015	Tom Meyerovitch Idan Perl Matthew Tointon Ariel Yadin
+	Polynomials and harmonic functions on discrete groups	2015	Tom Meyerovitch Idan Perl Matthew Tointon Ariel Yadin
+	Nilprogressions and groups with moderate growth	2015	Emmanuel Breuillard Matthew Tointon
+	Approximate subgroups of residually nilpotent groups	2015	Matthew Tointon
+	Recurrence and non-uniformity of bracket polynomials	2014	Matthew Tointon
+ PDF Chat	Freiman's theorem in an arbitrary nilpotent group	2014	Matthew Tointon
+	Characterisations of algebraic properties of groups in terms of harmonic functions	2014	Matthew Tointon
+	Recurrence and non-uniformity of bracket polynomials	2013	Matthew Tointon
+	On harmonic functions and the linear-growth case of Gromov's theorem	2013	Matthew Tointon
+	Recurrence and non-uniformity of bracket polynomials	2013	Matthew Tointon
+	Freiman's theorem in an arbitrary nilpotent group	2012	Matthew Tointon
+	Freiman's theorem in an arbitrary nilpotent group	2012	Matthew Tointon

Common Coauthors

Coauthor	Papers Together
Romain Tessera	15
Ariel Yadin	6
Idan Perl	3
Motiejus Valiunas	3
Tom Meyerovitch	3
Thiebout Delabie	3
Armando Martino	3
Emmanuel Breuillard	3
Avinoam Mann	2
Tom Hutchcroft	2
Russell Lyons	2
Enric Ventura	2
Enric Ventura	1
Panagiotis Spanos	1
Dajing Guo	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	The structure of approximate groups	2012	Emmanuel Breuillard Ben Green Terence Tao	34
+	Groups of polynomial growth and expanding maps	1981	Mikhael Gromov	31
+ PDF Chat	Freiman's theorem in an arbitrary nilpotent group	2014	Matthew Tointon	27
+ PDF Chat	Product set estimates for non-commutative groups	2008	Terence Tao	26
+ PDF Chat	INVERSE THEOREMS FOR SETS AND MEASURES OF POLYNOMIAL GROWTH	2015	Terence Tao	25
+	Approximate groups. I The torsion-free nilpotent case	2010	Emmanuel Breuillard Ben Green	25
+ PDF Chat	Freiman's theorem in an arbitrary abelian group	2007	Ben Green Imre Z. Ruzsa	24
+	Nilprogressions and groups with moderate growth	2015	Emmanuel Breuillard Matthew Tointon	23
+ PDF Chat	Approximate Subgroups of Linear Groups	2011	Emmanuel Breuillard Ben Green Terence Tao	22
+ PDF Chat	APPROXIMATE GROUPS, II: THE SOLVABLE LINEAR CASE	2010	Emmanuel Breuillard B. Green	21
+	A nilpotent Freiman dimension lemma	2013	Emmanuel Breuillard Ben Green Terence Tao	21
+	Generalized arithmetical progressions and sumsets	1994	Imre Z. Ruzsa	20
+	Stable group theory and approximate subgroups	2011	Ehud Hrushovski	19
+ PDF Chat	A Resistance Bound Via An Isoperimetric Inequality	2005	Itaı Benjamini Gady Kozma	18
+ PDF Chat	Growth and generation in SL<sub>2</sub>(ℤ∕pℤ)	2008	H. A. Helfgott	18
+	The Degree of Polynomial Growth of Finitely Generated Nilpotent Groups	1972	Hyman Bass	18
+ PDF Chat	Approximate subgroups of residually nilpotent groups	2019	Matthew Tointon	17
+	A polynomial bound in Freiman's theorem	2002	Mei-Chu Chang	17
+ PDF Chat	New proofs of Plünnecke-type estimates for product sets in groups	2012	Giorgis Petridis	17
+	A new proof of Szemerédi's theorem	2001	W. T. Gowers	16
+	On a result of Schur	1979	Robert M. Guralnick	16
+	Growth in finite simple groups of Lie type	2014	László Pyber Endre Szabó	16
+	An Application of Graph Theory to Additive Number Theory	1985	Noga Alon P. Erdős	16
+ PDF Chat	Growth in solvable subgroups of $${{\mathrm{GL}}}_r({\mathbb {Z}}/p{\mathbb {Z}})$$ GL r ( Z / p Z )	2014	Nick Gill H. A. Helfgott	16
+ PDF Chat	Growth in $\mathrm{SL}_3(ℤ/pℤ)$	2011	H. A. Helfgott	16
+	On the diameter of cayley graphs of the symmetric group	1988	László Babai Ákos Seress	16
+ PDF Chat	Expansion in Finite Simple Groups of Lie Type	2015	Terence Tao	15
+ PDF Chat	Approximate groups III: the unitary case	2012	Emmanuel Breuillard Ben Green	15
+	Freiman's theorem for solvable groups	2009	Terence Tao	15
+ PDF Chat	A product theorem in free groups	2014	Alexander Razborov	14
+	A New Proof of Szemer�di's Theorem for Arithmetic Progressions of Length Four	1998	W. T. Gowers	14
+ PDF Chat	Uniform expansion bounds for Cayley graphs of SL<sub>2</sub>(𝔽<sub>p</sub>)	2008	Jean Bourgain Alex Gamburd	14
+	A statistical theorem of set addition	1994	Antal Balog Endre Szemer�di	14
+ PDF Chat	A counterexample to a strong variant of the Polynomial Freiman-Ruzsa conjecture in Euclidean space	2017	Shachar Lovett Oded Regev	14
+ PDF Chat	On sum-sets and product-sets of complex numbers	2005	József Solymosi	14
+ PDF Chat	Upper bounds on the cardinality of higher sumsets	2013	Giorgis Petridis	14
+ PDF Chat	An analog of Freiman's theorem in groups	2018	Imre Z. RUZSA	14
+	Free subgroups in linear groups	1972	Jacques Tits	14
+	The sum-product phenomenon in arbitrary rings	2008	Terence Tao	14
+ PDF Chat	A sum-product estimate in finite fields, and applications	2004	Jean Bourgain Nets Hawk Katz Terence Tao	14
+ PDF Chat	A new principle in the geometry of numbers, with some applications	1914	H. F. Blichfeldt	14
+ PDF Chat	A Probabilistic Technique for Finding Almost-Periods of Convolutions	2010	Ernie Croot Olof Sisask	14
+	Additive Combinatorics	2006	Terence Tao Van H. Vu	14
+	A linear bound on the dimension in Green–Ruzsaʼs theorem	2012	Karol Cwalina Tomasz Schoen	14
+ PDF Chat	On sets of integers containing k elements in arithmetic progression	1975	Endre Szemerédi	14
+ PDF Chat	SETS WITH SMALL SUMSET AND RECTIFICATION	2006	Ben Green Imre Z. Ruzsa	14
+ PDF Chat	ON A NONABELIAN BALOG–SZEMERÉDI-TYPE LEMMA	2010	Tom Sanders	14
+ PDF Chat	None	2018	Romain Tessera Matthew Tointon	11
+	Approximate groups and their applications: work of Bourgain, Gamburd, Helfgott and Sarnak	2009	Ben Green	11
+	Introduction to Approximate Groups	2019	Matthew Tointon	8