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Author ID: sanders.tom Recent zbMATH articles by "Sanders, Tom"
Published as: Sanders, Tom; Sanders, T.
Homepage: http://people.maths.ox.ac.uk/sanders/
External Links: MGP · ORCID · Wikidata · arXiv · MathOverflow · dblp · IdRef · theses.fr
Awards: EMS Prize (2012)
Documents Indexed: 44 Publications since 2006, including 4 Additional arXiv Preprints
Reviewing Activity: 27 Reviews
Biographic References: 1 Publication
Co-Authors: 2 Co-Authors with 5 Joint Publications
126 Co-Co-Authors

Co-Authors

39 single-authored
4 Green, Ben Joseph
1 Ruzsa, Imre Z.

Publications by Year

Citations contained in zbMATH Open

32 Publications have been cited 372 times in 246 Documents Cited by Year
On the Bogolyubov-Ruzsa lemma. Zbl 1320.11009
Sanders, Tom
69
2012
On Roth’s theorem on progressions. Zbl 1264.11004
Sanders, Tom
68
2011
The structure theory of set addition revisited. Zbl 1337.11014
Sanders, Tom
37
2013
A quantitative version of the idempotent theorem in harmonic analysis. Zbl 1170.43003
Green, Ben; Sanders, Tom
23
2008
On certain other sets of integers. Zbl 1280.11009
Sanders, Tom
18
2012
Additive structures in sumsets. Zbl 1241.11010
Sanders, Tom
16
2008
On a nonabelian Balog-Szemerédi-type lemma. Zbl 1223.11014
Sanders, Tom
14
2010
Difference sets and the primes. Zbl 1170.11023
Ruzsa, Imre Z.; Sanders, Tom
13
2008
Appendix to ‘Roth’s theorem on progressions revisited’ by J. Bourgain. Zbl 1222.11014
Sanders, Tom
11
2008
A quantitative version of the non-Abelian idempotent theorem. Zbl 1213.43007
Sanders, Tom
10
2011
Green’s sumset problem at density one half. Zbl 1225.11015
Sanders, Tom
9
2011
A note on Freĭman’s theorem in vector spaces. Zbl 1151.15003
Sanders, Tom
9
2008
Boolean functions with small spectral norm. Zbl 1221.11031
Green, Ben; Sanders, Tom
9
2008
The Littlewood-Gowers problem. Zbl 1206.11013
Sanders, Tom
9
2007
Roth’s theorem in \(\mathbb Z^n_4\). Zbl 1197.11017
Sanders, Tom
8
2009
Monochromatic sums and products. Zbl 1400.11024
Green, Ben; Sanders, Tom
8
2016
Approximate groups and doubling metrics. Zbl 1332.11014
Sanders, Tom
5
2012
Popular difference sets. Zbl 1244.05037
Sanders, Tom
5
2010
Three-term arithmetic progressions and sumsets. Zbl 1221.11029
Sanders, Tom
5
2009
Bounds in Cohen’s idempotent theorem. Zbl 1455.43002
Sanders, Tom
4
2020
Structure in sets with logarithmic doubling. Zbl 1310.11013
Sanders, T.
4
2013
The coset and stability rings. Zbl 1441.11026
Sanders, Tom
3
2020
A Freĭman-type theorem for locally compact Abelian groups. Zbl 1179.43002
Sanders, Tom
3
2009
Solving \(xz=y^2\) in certain subsets of finite groups. Zbl 1386.20018
Sanders, Tom
3
2017
Boolean functions with small spectral norm, revisited. Zbl 1448.94314
Sanders, Tom
2
2019
On a theorem of Shkredov. Zbl 1261.11014
Sanders, Tom
1
2010
Chowla’s cosine problem. Zbl 1209.43003
Sanders, Tom
1
2010
On monochromatic solutions to \(x-y=z^2\). Zbl 1474.42035
Sanders, T.
1
2020
Bootstrapping partition regularity of linear systems. Zbl 1448.05204
Sanders, Tom
1
2020
The \(\ell^1\)-norm of the Fourier transform on compact vector spaces. Zbl 1127.42001
Sanders, Tom
1
2007
Roth’s theorem: an application of approximate groups. Zbl 1386.11025
Sanders, Tom
1
2014
Approximate (abelian) groups. Zbl 1364.11033
Sanders, Tom
1
2013
Bounds in Cohen’s idempotent theorem. Zbl 1455.43002
Sanders, Tom
4
2020
The coset and stability rings. Zbl 1441.11026
Sanders, Tom
3
2020
On monochromatic solutions to \(x-y=z^2\). Zbl 1474.42035
Sanders, T.
1
2020
Bootstrapping partition regularity of linear systems. Zbl 1448.05204
Sanders, Tom
1
2020
Boolean functions with small spectral norm, revisited. Zbl 1448.94314
Sanders, Tom
2
2019
Solving \(xz=y^2\) in certain subsets of finite groups. Zbl 1386.20018
Sanders, Tom
3
2017
Monochromatic sums and products. Zbl 1400.11024
Green, Ben; Sanders, Tom
8
2016
Roth’s theorem: an application of approximate groups. Zbl 1386.11025
Sanders, Tom
1
2014
The structure theory of set addition revisited. Zbl 1337.11014
Sanders, Tom
37
2013
Structure in sets with logarithmic doubling. Zbl 1310.11013
Sanders, T.
4
2013
Approximate (abelian) groups. Zbl 1364.11033
Sanders, Tom
1
2013
On the Bogolyubov-Ruzsa lemma. Zbl 1320.11009
Sanders, Tom
69
2012
On certain other sets of integers. Zbl 1280.11009
Sanders, Tom
18
2012
Approximate groups and doubling metrics. Zbl 1332.11014
Sanders, Tom
5
2012
On Roth’s theorem on progressions. Zbl 1264.11004
Sanders, Tom
68
2011
A quantitative version of the non-Abelian idempotent theorem. Zbl 1213.43007
Sanders, Tom
10
2011
Green’s sumset problem at density one half. Zbl 1225.11015
Sanders, Tom
9
2011
On a nonabelian Balog-Szemerédi-type lemma. Zbl 1223.11014
Sanders, Tom
14
2010
Popular difference sets. Zbl 1244.05037
Sanders, Tom
5
2010
On a theorem of Shkredov. Zbl 1261.11014
Sanders, Tom
1
2010
Chowla’s cosine problem. Zbl 1209.43003
Sanders, Tom
1
2010
Roth’s theorem in \(\mathbb Z^n_4\). Zbl 1197.11017
Sanders, Tom
8
2009
Three-term arithmetic progressions and sumsets. Zbl 1221.11029
Sanders, Tom
5
2009
A Freĭman-type theorem for locally compact Abelian groups. Zbl 1179.43002
Sanders, Tom
3
2009
A quantitative version of the idempotent theorem in harmonic analysis. Zbl 1170.43003
Green, Ben; Sanders, Tom
23
2008
Additive structures in sumsets. Zbl 1241.11010
Sanders, Tom
16
2008
Difference sets and the primes. Zbl 1170.11023
Ruzsa, Imre Z.; Sanders, Tom
13
2008
Appendix to ‘Roth’s theorem on progressions revisited’ by J. Bourgain. Zbl 1222.11014
Sanders, Tom
11
2008
A note on Freĭman’s theorem in vector spaces. Zbl 1151.15003
Sanders, Tom
9
2008
Boolean functions with small spectral norm. Zbl 1221.11031
Green, Ben; Sanders, Tom
9
2008
The Littlewood-Gowers problem. Zbl 1206.11013
Sanders, Tom
9
2007
The \(\ell^1\)-norm of the Fourier transform on compact vector spaces. Zbl 1127.42001
Sanders, Tom
1
2007
all top 5

Cited by 252 Authors

21 Shkredov, Il’ya Dmitrievich
15 Sanders, Tom
14 Schoen, Tomasz
7 Lovett, Shachar
7 Tao, Terence
6 Fox, Jacob
6 Green, Ben Joseph
6 Lê, Thái Hoàng
6 Longobardi, Patrizia
6 Maj, Mercede
6 Sisask, Olof
5 Bloom, Thomas F.
5 Croot, Ernie
5 Tointon, Matthew C. H.
5 Wolf, Julia
4 Aggarwal, Divesh
4 Conant, Gabriel
4 Freiman, Gregory A.
4 Herzog, Marcel
4 Hrushovski, Ehud
4 Pach, Péter Pál
3 Bienvenu, Pierre-Yves
3 Breuillard, Emmanuel
3 Candela, Pablo
3 Dodis, Yevgeniy
3 Gowers, William Timothy
3 Griesmer, John T.
3 Helfgott, Harald Andrés
3 Palacín, Daniel
3 Pillay, Anand
3 Plagne, Alain
3 Prendiville, Sean M.
3 Rolnick, David
3 Stanchescu, Yonutz V.
3 Sudakov, Benny
3 Szemerédi, Endre
3 Wojciechowski, Michał
3 Zhao, Yufei
2 Ben-Sasson, Eli
2 Chattopadhyay, Arkadev
2 Conlon, David
2 Cwalina, Karol
2 González-Sánchez, Diego
2 Hàn, Hiệp
2 Hatami, Hamed
2 Henriot, Kevin
2 Hosseini, Kaave
2 Konyagin, Sergeĭ Vladimirovich
2 Krupiński, Krzysztof
2 Lev, Vsevolod F.
2 Lewko, Mark
2 Liu, Yu-Ru
2 Maji, Hemanta K.
2 Martin-Pizarro, Amador
2 Milićević, Luka
2 Moreira, Joel
2 Petrov, Fedor Vladimirovich
2 Pham, Huy-Tuan
2 Pohoata, Cosmin
2 Retter, Troy
2 Rice, Alex
2 Rodl, Vojtech
2 Ron-Zewi, Noga
2 Schacht, Mathias
2 Shabanov, Dmitry A.
2 Shinkar, Igor
2 Spencer, Craig V.
2 Treglown, Andrew
2 Uvakin, Artem A.
2 Volostnov, Aleksei S.
2 Wang, Ruoyi
2 Xie, Ning
2 Xu, Shuai
2 Xu, Yekun
2 Yavicoli, Alexia
1 Ada, Anil
1 Agrawal, Shashank
1 Aistleitner, Christoph
1 Alon, Noga
1 Ambainis, Andris
1 Amirkhanyan, Gagik
1 Asadi, Vahid R.
1 Baglini, Lorenzo Luperi
1 Baja, Zsolt
1 Bajnok, Béla
1 Barrett, Jordan Mitchell
1 Bateman, Michael D.
1 Bennett, Huck
1 Bergelson, Vitaly
1 Bibak, Khodakhast
1 Blankenship, Thomas
1 Block, Alexander R.
1 Bobkov, Sergey Germanovich
1 Bourgain, Jean
1 Bush, Albert
1 Chang, Mei-Chu
1 Chapman, Jonathan
1 Chattopadhyay, Eshan
1 Chestnut, Stephen R.
1 Ching, Tak Wing
...and 152 more Authors
all top 5

Cited in 93 Serials

11 European Journal of Combinatorics
11 Discrete Analysis
10 Journal of Number Theory
9 Israel Journal of Mathematics
7 Mathematical Proceedings of the Cambridge Philosophical Society
7 Combinatorics, Probability and Computing
6 Mathematical Notes
6 Advances in Mathematics
5 Journal d’Analyse Mathématique
5 Mathematika
5 Proceedings of the American Mathematical Society
5 Combinatorica
4 Discrete Mathematics
4 Geometric and Functional Analysis. GAFA
4 Bulletin of the American Mathematical Society. New Series
3 Bulletin of the London Mathematical Society
3 Journal of Combinatorial Theory. Series A
3 Journal of Functional Analysis
3 Journal of the London Mathematical Society. Second Series
3 Mathematische Annalen
3 SIAM Journal on Computing
3 Journal of the American Mathematical Society
3 SIAM Journal on Discrete Mathematics
3 Random Structures & Algorithms
3 The Electronic Journal of Combinatorics
3 The Ramanujan Journal
3 Integers
3 Journal of the Australian Mathematical Society
3 Proceedings of the Steklov Institute of Mathematics
3 Forum of Mathematics, Sigma
2 Journal of Mathematical Analysis and Applications
2 Acta Arithmetica
2 Canadian Journal of Mathematics
2 Functional Analysis and its Applications
2 Journal of Combinatorial Theory. Series B
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Transactions of the American Mathematical Society
2 Computational Complexity
2 Journal de Théorie des Nombres de Bordeaux
2 Selecta Mathematica. New Series
2 The Journal of Fourier Analysis and Applications
2 Annals of Mathematics. Second Series
2 Journal of the European Mathematical Society (JEMS)
2 International Journal of Group Theory
2 Model Theory
1 Bulletin of the Australian Mathematical Society
1 Discrete Applied Mathematics
1 Russian Mathematical Surveys
1 Studia Mathematica
1 Mathematics of Computation
1 Annales de l’Institut Fourier
1 Archiv der Mathematik
1 Bulletin de la Société Mathématique de France
1 Compositio Mathematica
1 Duke Mathematical Journal
1 Functiones et Approximatio. Commentarii Mathematici
1 Glasgow Mathematical Journal
1 Indiana University Mathematics Journal
1 Publications Mathématiques
1 Journal of Algebra
1 Michigan Mathematical Journal
1 Monatshefte für Mathematik
1 Notre Dame Journal of Formal Logic
1 Proceedings of the London Mathematical Society. Third Series
1 Publications de l’Institut Mathématique. Nouvelle Série
1 Theoretical Computer Science
1 Ergodic Theory and Dynamical Systems
1 Acta Mathematica Hungarica
1 Journal of Cryptology
1 Forum Mathematicum
1 International Journal of Foundations of Computer Science
1 Designs, Codes and Cryptography
1 Journal of Mathematical Sciences (New York)
1 Finite Fields and their Applications
1 Sbornik: Mathematics
1 Doklady Mathematics
1 Journal of the ACM
1 Annals of Combinatorics
1 The Quarterly Journal of Mathematics
1 La Gaceta de la Real Sociedad Matemática Española
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Journal of the Institute of Mathematics of Jussieu
1 Online Journal of Analytic Combinatorics
1 Groups, Geometry, and Dynamics
1 Uniform Distribution Theory
1 Science China. Mathematics
1 Theory of Computing
1 Moscow Journal of Combinatorics and Number Theory
1 Communications in Mathematics and Statistics
1 Journal de l’École Polytechnique – Mathématiques
1 Ars Inveniendi Analytica
1 Essential Number Theory
1 Combinatorics and Number Theory

Citations by Year

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