Edit Profile (opens in new tab) Sanders, Tom Co-Author Distance Author ID: 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: 40 Publications since 2007 Reviewing Activity: 27 Reviews Biographic References: 1 Publication Co-Authors: 2 Co-Authors with 4 Joint Publications 122 Co-Co-Authors Co-Authors 36 single-authored 3 Green, Ben Joseph 1 Ruzsa, Imre Z. all top 5 Serials 4 Journal d’Analyse Mathématique 4 Online Journal of Analytic Combinatorics 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Acta Arithmetica 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Geometric and Functional Analysis. GAFA 2 Annals of Mathematics. Second Series 2 Analysis & PDE 1 Bulletin of the Australian Mathematical Society 1 Israel Journal of Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Studia Mathematica 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 European Journal of Combinatorics 1 Acta Mathematica Hungarica 1 Bulletin of the American Mathematical Society. New Series 1 Combinatorics, Probability and Computing 1 The Journal of Fourier Analysis and Applications 1 The Quarterly Journal of Mathematics 1 Journal of the Australian Mathematical Society 1 Discrete Analysis all top 5 Fields 34 Number theory (11-XX) 11 Abstract harmonic analysis (43-XX) 8 Group theory and generalizations (20-XX) 5 Combinatorics (05-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Topological groups, Lie groups (22-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Dynamical systems and ergodic theory (37-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 31 Publications have been cited 321 times in 216 Documents Cited by ▼ Year ▼ On Roth’s theorem on progressions. Zbl 1264.11004Sanders, Tom 61 2011 On the Bogolyubov-Ruzsa lemma. Zbl 1320.11009Sanders, Tom 55 2012 The structure theory of set addition revisited. Zbl 1337.11014Sanders, Tom 34 2013 A quantitative version of the idempotent theorem in harmonic analysis. Zbl 1170.43003Green, Ben; Sanders, Tom 21 2008 On certain other sets of integers. Zbl 1280.11009Sanders, Tom 15 2012 Additive structures in sumsets. Zbl 1241.11010Sanders, Tom 14 2008 On a nonabelian Balog-Szemerédi-type lemma. Zbl 1223.11014Sanders, Tom 12 2010 A quantitative version of the non-Abelian idempotent theorem. Zbl 1213.43007Sanders, Tom 10 2011 Difference sets and the primes. Zbl 1170.11023Ruzsa, Imre Z.; Sanders, Tom 9 2008 The Littlewood-Gowers problem. Zbl 1206.11013Sanders, Tom 9 2007 A note on Freĭman’s theorem in vector spaces. Zbl 1151.15003Sanders, Tom 9 2008 Green’s sumset problem at density one half. Zbl 1225.11015Sanders, Tom 9 2011 Roth’s theorem in \(\mathbb Z^n_4\). Zbl 1197.11017Sanders, Tom 8 2009 Boolean functions with small spectral norm. Zbl 1221.11031Green, Ben; Sanders, Tom 8 2008 Appendix to ‘Roth’s theorem on progressions revisited’ by J. Bourgain. Zbl 1222.11014Sanders, Tom 7 2008 Monochromatic sums and products. Zbl 1400.11024Green, Ben; Sanders, Tom 7 2016 Approximate groups and doubling metrics. Zbl 1332.11014Sanders, Tom 5 2012 Three-term arithmetic progressions and sumsets. Zbl 1221.11029Sanders, Tom 4 2009 Popular difference sets. Zbl 1244.05037Sanders, Tom 4 2010 The coset and stability rings. Zbl 1441.11026Sanders, Tom 3 2020 A Freĭman-type theorem for locally compact Abelian groups. Zbl 1179.43002Sanders, Tom 3 2009 Structure in sets with logarithmic doubling. Zbl 1310.11013Sanders, T. 3 2013 Solving \(xz=y^2\) in certain subsets of finite groups. Zbl 1386.20018Sanders, Tom 2 2017 Boolean functions with small spectral norm, revisited. Zbl 1448.94314Sanders, Tom 2 2019 Chowla’s cosine problem. Zbl 1209.43003Sanders, Tom 1 2010 The \(\ell^1\)-norm of the Fourier transform on compact vector spaces. Zbl 1127.42001Sanders, Tom 1 2007 Bounds in Cohen’s idempotent theorem. Zbl 1455.43002Sanders, Tom 1 2020 On a theorem of Shkredov. Zbl 1261.11014Sanders, Tom 1 2010 Bootstrapping partition regularity of linear systems. Zbl 1448.05204Sanders, Tom 1 2020 Roth’s theorem: an application of approximate groups. Zbl 1386.11025Sanders, Tom 1 2014 Approximate (abelian) groups. Zbl 1364.11033Sanders, Tom 1 2013 The coset and stability rings. Zbl 1441.11026Sanders, Tom 3 2020 Bounds in Cohen’s idempotent theorem. Zbl 1455.43002Sanders, Tom 1 2020 Bootstrapping partition regularity of linear systems. Zbl 1448.05204Sanders, Tom 1 2020 Boolean functions with small spectral norm, revisited. Zbl 1448.94314Sanders, Tom 2 2019 Solving \(xz=y^2\) in certain subsets of finite groups. Zbl 1386.20018Sanders, Tom 2 2017 Monochromatic sums and products. Zbl 1400.11024Green, Ben; Sanders, Tom 7 2016 Roth’s theorem: an application of approximate groups. Zbl 1386.11025Sanders, Tom 1 2014 The structure theory of set addition revisited. Zbl 1337.11014Sanders, Tom 34 2013 Structure in sets with logarithmic doubling. Zbl 1310.11013Sanders, T. 3 2013 Approximate (abelian) groups. Zbl 1364.11033Sanders, Tom 1 2013 On the Bogolyubov-Ruzsa lemma. Zbl 1320.11009Sanders, Tom 55 2012 On certain other sets of integers. Zbl 1280.11009Sanders, Tom 15 2012 Approximate groups and doubling metrics. Zbl 1332.11014Sanders, Tom 5 2012 On Roth’s theorem on progressions. Zbl 1264.11004Sanders, Tom 61 2011 A quantitative version of the non-Abelian idempotent theorem. Zbl 1213.43007Sanders, Tom 10 2011 Green’s sumset problem at density one half. Zbl 1225.11015Sanders, Tom 9 2011 On a nonabelian Balog-Szemerédi-type lemma. Zbl 1223.11014Sanders, Tom 12 2010 Popular difference sets. Zbl 1244.05037Sanders, Tom 4 2010 Chowla’s cosine problem. Zbl 1209.43003Sanders, Tom 1 2010 On a theorem of Shkredov. Zbl 1261.11014Sanders, Tom 1 2010 Roth’s theorem in \(\mathbb Z^n_4\). Zbl 1197.11017Sanders, Tom 8 2009 Three-term arithmetic progressions and sumsets. Zbl 1221.11029Sanders, Tom 4 2009 A Freĭman-type theorem for locally compact Abelian groups. Zbl 1179.43002Sanders, Tom 3 2009 A quantitative version of the idempotent theorem in harmonic analysis. Zbl 1170.43003Green, Ben; Sanders, Tom 21 2008 Additive structures in sumsets. Zbl 1241.11010Sanders, Tom 14 2008 Difference sets and the primes. Zbl 1170.11023Ruzsa, Imre Z.; Sanders, Tom 9 2008 A note on Freĭman’s theorem in vector spaces. Zbl 1151.15003Sanders, Tom 9 2008 Boolean functions with small spectral norm. Zbl 1221.11031Green, Ben; Sanders, Tom 8 2008 Appendix to ‘Roth’s theorem on progressions revisited’ by J. Bourgain. Zbl 1222.11014Sanders, Tom 7 2008 The Littlewood-Gowers problem. Zbl 1206.11013Sanders, Tom 9 2007 The \(\ell^1\)-norm of the Fourier transform on compact vector spaces. Zbl 1127.42001Sanders, Tom 1 2007 all cited Publications top 5 cited Publications all top 5 Cited by 214 Authors 20 Shkredov, Il’ya Dmitrievich 15 Sanders, Tom 13 Schoen, Tomasz 7 Tao, Terence 6 Green, Ben Joseph 6 Lê, Thái Hoàng 6 Longobardi, Patrizia 6 Lovett, Shachar 6 Maj, Mercede 5 Croot, Ernie 5 Fox, Jacob 5 Sisask, Olof 5 Tointon, Matthew C. H. 5 Wolf, Julia 4 Bloom, Thomas F. 4 Freiman, Gregory A. 4 Herzog, Marcel 3 Bienvenu, Pierre-Yves 3 Breuillard, Emmanuel 3 Candela, Pablo 3 Conant, Gabriel 3 Gowers, William Timothy 3 Griesmer, John T. 3 Helfgott, Harald Andrés 3 Hrushovski, Ehud 3 Pach, Péter Pál 3 Plagne, Alain 3 Prendiville, Sean M. 3 Rolnick, David 3 Stanchescu, Yonutz V. 3 Szemerédi, Endre 3 Zhao, Yufei 2 Aggarwal, Divesh 2 Ben-Sasson, Eli 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 Milićević, Luka 2 Moreira, Joel 2 Palacín, Daniel 2 Pham, Huy-Tuan 2 Pillay, Anand 2 Pohoata, Cosmin 2 Retter, Troy 2 Rice, Alex 2 Rodl, Vojtech 2 Ron-Zewi, Noga 2 Schacht, Mathias 2 Shabanov, Dmitry A. 2 Spencer, Craig V. 2 Sudakov, Benny 2 Treglown, Andrew 2 Uvakin, Artem A. 2 Volostnov, A. S. 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 Baglini, Lorenzo Luperi 1 Bajnok, Béla 1 Barrett, Jordan Mitchell 1 Bateman, Michael D. 1 Bennett, Huck 1 Bergelson, Vitaly 1 Bibak, Khodakhast 1 Blankenship, Thomas 1 Bobkov, Sergey Germanovich 1 Bourgain, Jean 1 Bush, Albert 1 Chang, Mei-Chu 1 Chapman, Jonathan 1 Chattopadhyay, Arkadev 1 Chestnut, Stephen R. 1 Ching, Tak Wing 1 Chou, Ching 1 Chow, Sam 1 Cladek, Laura 1 Conlon, David 1 Cui, Zhen 1 Cummings, Jay 1 Cwalina, Karol 1 de Roton, Anne 1 Desgrottes, Mike 1 Di Nasso, Mauro 1 Dodis, Yevgeniy 1 Doyle, John R. 1 Dyatlov, Semyon ...and 114 more Authors all top 5 Cited in 86 Serials 11 European Journal of Combinatorics 11 Discrete Analysis 9 Israel Journal of Mathematics 9 Journal of Number Theory 7 Mathematical Proceedings of the Cambridge Philosophical Society 7 Combinatorics, Probability and Computing 6 Mathematical Notes 6 Advances in Mathematics 5 Mathematika 5 Proceedings of the American Mathematical Society 5 Combinatorica 4 Journal d’Analyse Mathématique 4 Geometric and Functional Analysis. GAFA 4 Bulletin of the American Mathematical Society. New Series 3 Journal of Combinatorial Theory. Series A 3 SIAM Journal on Computing 3 SIAM Journal on Discrete Mathematics 3 Random Structures & Algorithms 3 The Electronic Journal of Combinatorics 3 Integers 3 Journal of the Australian Mathematical Society 3 Proceedings of the Steklov Institute of Mathematics 3 Forum of Mathematics, Sigma 2 Discrete Mathematics 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 Journal of the London Mathematical Society. Second Series 2 Mathematische Annalen 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Transactions of the American Mathematical Society 2 Journal of the American Mathematical Society 2 Computational Complexity 2 Selecta Mathematica. New Series 2 The Journal of Fourier Analysis and Applications 2 The Ramanujan Journal 2 Annals of Mathematics. Second Series 2 Journal of the European Mathematical Society (JEMS) 2 International Journal of Group 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 of the London Mathematical Society 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 Journal of Functional Analysis 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 Journal of Cryptology 1 International Journal of Foundations of Computer Science 1 Designs, Codes and Cryptography 1 Journal de Théorie des Nombres de Bordeaux 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 Theory of Computing 1 Communications in Mathematics and Statistics 1 Journal de l’École Polytechnique – Mathématiques 1 Ars Inveniendi Analytica all top 5 Cited in 24 Fields 162 Number theory (11-XX) 67 Combinatorics (05-XX) 38 Group theory and generalizations (20-XX) 18 Abstract harmonic analysis (43-XX) 13 Mathematical logic and foundations (03-XX) 13 Computer science (68-XX) 11 Information and communication theory, circuits (94-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Topological groups, Lie groups (22-XX) 6 Measure and integration (28-XX) 6 Convex and discrete geometry (52-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 General topology (54-XX) 4 Probability theory and stochastic processes (60-XX) 2 Geometry (51-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.