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Gelander, Tsachik

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 Author ID: gelander.tsachik Published as: Gelander, Tsachik; Gelander, T. External Links: MGP
 Documents Indexed: 48 Publications since 2002
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Co-Authors

 9 single-authored 6 Bader, Uri 5 Breuillard, Emmanuel 3 Abért, Miklós 3 Bergeron, Nicolas 3 Bucher, Michelle 3 Levit, Arie 3 Mozes, Shahar 3 Nikolov, Nikolay Valeriev 2 Biringer, Ian 2 Caprace, Pierre-Emmanuel 2 Glasner, Yair 2 Lubotzky, Alexander 2 Meiri, Chen 2 Monod, Nicolas 2 Raimbault, Jean 2 Samet, Iddo 2 Shalev, Aner 1 Ackerman, Eyal 1 Aka, Menny 1 Avni, Nir 1 Barlev, Jonathan 1 Belolipetsky, Mikhail V. 1 Benjamini, Itai 1 Burger, Marc 1 Cohen, Tal 1 Furman, Alex 1 Golan, Gili 1 Juschenko, Kate 1 Karlsson, Anders 1 Kassabov, Martin 1 Le Maître, François 1 Margulis, Grigoriĭ Aleksandrovich 1 Minsky, Yair N. 1 Pinchasi, Rom 1 Sauer, Roman 1 Slutsky, Raz 1 Soifer, Grigoriĭ Aleksandrovich 1 Souto, Juan 1 Storm, Peter A. 1 Żuk, Andrzej
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Serials

 4 Journal of Algebra 4 Geometric and Functional Analysis. GAFA 3 IMRN. International Mathematics Research Notices 3 Annals of Mathematics. Second Series 2 Israel Journal of Mathematics 2 Advances in Mathematics 2 Bulletin of the London Mathematical Society 2 Duke Mathematical Journal 2 Inventiones Mathematicae 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Groups, Geometry, and Dynamics 1 Journal d’Analyse Mathématique 1 Acta Mathematica 1 Commentarii Mathematici Helvetici 1 Fundamenta Mathematicae 1 Geometriae Dedicata 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Topology and its Applications 1 Computational Geometry 1 L’Enseignement Mathématique. 2e Série 1 Journal of Lie Theory 1 Transformation Groups 1 Geometry & Topology 1 Journal of Group Theory 1 Journal of the European Mathematical Society (JEMS) 1 Algebraic & Geometric Topology 1 Journal of Topology and Analysis
all top 5

Fields

 29 Topological groups, Lie groups (22-XX) 23 Group theory and generalizations (20-XX) 11 Manifolds and cell complexes (57-XX) 10 Differential geometry (53-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Abstract harmonic analysis (43-XX) 2 General topology (54-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX)

Citations contained in zbMATH Open

41 Publications have been cited 503 times in 360 Documents Cited by Year
Property $$(T)$$ and rigidity for actions on Banach spaces. Zbl 1162.22005
Bader, Uri; Furman, Alex; Gelander, Tsachik; Monod, Nicolas
2007
On the growth of $$L^2$$-invariants for sequences of lattices in Lie groups. Zbl 1379.22006
Abert, Miklos; Bergeron, Nicolas; Biringer, Ian; Gelander, Tsachik; Nikolov, Nikolay; Raimbault, Jean; Samet, Iddo
2017
On dense free subgroups of Lie groups. Zbl 1014.22007
Breuillard, E.; Gelander, T.
2003
A topological Tits alternative. Zbl 1149.20039
Breuillard, Emmanuel; Gelander, Tsachik
2007
A fixed point theorem for $$L ^{1}$$ spaces. Zbl 1247.46007
Bader, U.; Gelander, T.; Monod, N.
2012
Counting hyperbolic manifolds. Zbl 1029.57021
Burger, M.; Gelander, T.; Lubotzky, A.; Mozes, S.
2002
On the growth of Betti numbers of locally symmetric spaces. Zbl 1223.53039
Abert, Miklos; Bergeron, Nicolas; Biringer, Ian; Gelander, Tsachik; Nikolov, Nikolay; Raimbault, Jean; Samet, Iddo
2011
Homotopy type and volume of locally symmetric manifolds. Zbl 1076.53040
Gelander, Tsachik
2004
Uniform independence in linear groups. Zbl 1148.20029
Breuillard, E.; Gelander, T.
2008
Superrigidity, generalized harmonic maps and uniformly convex spaces. Zbl 1156.22005
Gelander, Tsachik; Karlsson, Anders; Margulis, Gregory A.
2008
Counting arithmetic lattices and surfaces. Zbl 1214.22002
Belolipetsky, Mikhail; Gelander, Tsachik; Lubotzky, Alexander; Shalev, Aner
2010
Countable primitive groups. Zbl 1138.20005
Gelander, Tsachik; Glasner, Yair
2008
Dense embeddings of surface groups. Zbl 1132.22011
Breuillard, Emmanuel; Gelander, Tsachik; Souto, Juan; Storm, Peter
2006
Equicontinuous actions of semisimple groups. Zbl 1376.22013
2017
Dependence of Kazhdan constants on generating subsets. Zbl 0993.22003
Gelander, Tsachik; Żuk, Andrzej
2002
On deformations of $$F_n$$ in compact Lie groups. Zbl 1171.22007
Gelander, Tsachik
2008
A lecture on invariant random subgroups. Zbl 1400.43003
Gelander, Tsachik
2018
Simple groups without lattices. Zbl 1239.22007
Bader, Uri; Caprace, Pierre-Emmanuel; Gelander, Tsachik; Mozes, Shahar
2012
Volume versus rank of lattices. Zbl 1235.22014
Gelander, Tsachik
2011
A note on local rigidity. Zbl 1062.22028
Bergeron, N.; Gelander, T.
2004
Ice-creams and wedge graphs. Zbl 1360.68636
Ackerman, Eyal; Gelander, Tsachik; Pinchasi, Rom
2013
Cheeger constant and algebraic entropy of linear groups. Zbl 1148.20030
Breuillard, Emmanuel; Gelander, Tsachik
2005
The generalized Chern conjecture for manifolds that are locally a product of surfaces. Zbl 1226.53034
Bucher, Michelle; Gelander, Tsachik
2011
Counting commensurability classes of hyperbolic manifolds. Zbl 1366.57011
Gelander, Tsachik; Levit, Arie
2014
The dynamics of $$\operatorname{Aut}(F_n)$$ on redundant representations. Zbl 1290.37003
Gelander, Tsachik; Minsky, Yair N.
2013
Word values in $$p$$-adic and adelic groups. Zbl 1288.20062
Avni, Nir; Gelander, Tsachik; Kassabov, Martin; Shalev, Aner
2013
Invariant random subgroups over non-Archimedean local fields. Zbl 1404.22025
Gelander, Tsachik; Levit, Arie
2018
Convergence groups are not invariably generated. Zbl 1329.20053
Gelander, Tsachik
2015
Kazhdan-Margulis theorem for invariant random subgroups. Zbl 06842121
Gelander, Tsachik
2018
Rank, combinatorial cost, and homology torsion growth in higher rank lattices. Zbl 1386.22008
Abert, Miklos; Gelander, Tsachik; Nikolov, Nikolay
2017
Milnor-Wood inequalities for manifolds locally isometric to a product of hyperbolic planes. Zbl 1152.53026
Bucher, Michelle; Gelander, Tsachik
2008
Lattices in amenable groups. Zbl 1423.22012
Bader, Uri; Caprace, Pierre-Emmanuel; Gelander, Tsachik; Mozes, Shahar
2019
The congruence subgroup property does not imply invariable generation. Zbl 1404.20025
Gelander, Tsachik; Meiri, Chen
2017
Compactifications and algebraic completions of limit groups. Zbl 1235.22003
Barlev, Jonathan; Gelander, Tsachik
2010
Local rigidity of uniform lattices. Zbl 1446.22001
Gelander, Tsachik; Levit, Arie
2018
An Aschbacher-O’Nan-Scott theorem for countable linear groups. Zbl 1285.20002
Gelander, Tsachik; Glasner, Yair
2013
Homogeneous number of free generators. Zbl 1341.20041
Aka, Menny; Gelander, Tsachik; Soĭfer, Gregory A.
2014
Invariable generation of Thompson groups. Zbl 1390.20035
Gelander, Tsachik; Golan, Gili; Juschenko, Kate
2017
Homology and homotopy complexity in negative curvature. Zbl 1448.57032
Bader, Uri; Gelander, Tsachik; Sauer, Roman
2020
Maximal subgroups of $$\mathrm{SL}(n, \mathbb{Z})$$. Zbl 1394.20030
Gelander, T.; Meiri, C.
2016
Lectures on lattices and locally symmetric spaces. Zbl 1440.22020
Gelander, Tsachik
2014
Homology and homotopy complexity in negative curvature. Zbl 1448.57032
Bader, Uri; Gelander, Tsachik; Sauer, Roman
2020
Lattices in amenable groups. Zbl 1423.22012
Bader, Uri; Caprace, Pierre-Emmanuel; Gelander, Tsachik; Mozes, Shahar
2019
A lecture on invariant random subgroups. Zbl 1400.43003
Gelander, Tsachik
2018
Invariant random subgroups over non-Archimedean local fields. Zbl 1404.22025
Gelander, Tsachik; Levit, Arie
2018
Kazhdan-Margulis theorem for invariant random subgroups. Zbl 06842121
Gelander, Tsachik
2018
Local rigidity of uniform lattices. Zbl 1446.22001
Gelander, Tsachik; Levit, Arie
2018
On the growth of $$L^2$$-invariants for sequences of lattices in Lie groups. Zbl 1379.22006
Abert, Miklos; Bergeron, Nicolas; Biringer, Ian; Gelander, Tsachik; Nikolov, Nikolay; Raimbault, Jean; Samet, Iddo
2017
Equicontinuous actions of semisimple groups. Zbl 1376.22013
2017
Rank, combinatorial cost, and homology torsion growth in higher rank lattices. Zbl 1386.22008
Abert, Miklos; Gelander, Tsachik; Nikolov, Nikolay
2017
The congruence subgroup property does not imply invariable generation. Zbl 1404.20025
Gelander, Tsachik; Meiri, Chen
2017
Invariable generation of Thompson groups. Zbl 1390.20035
Gelander, Tsachik; Golan, Gili; Juschenko, Kate
2017
Maximal subgroups of $$\mathrm{SL}(n, \mathbb{Z})$$. Zbl 1394.20030
Gelander, T.; Meiri, C.
2016
Convergence groups are not invariably generated. Zbl 1329.20053
Gelander, Tsachik
2015
Counting commensurability classes of hyperbolic manifolds. Zbl 1366.57011
Gelander, Tsachik; Levit, Arie
2014
Homogeneous number of free generators. Zbl 1341.20041
Aka, Menny; Gelander, Tsachik; Soĭfer, Gregory A.
2014
Lectures on lattices and locally symmetric spaces. Zbl 1440.22020
Gelander, Tsachik
2014
Ice-creams and wedge graphs. Zbl 1360.68636
Ackerman, Eyal; Gelander, Tsachik; Pinchasi, Rom
2013
The dynamics of $$\operatorname{Aut}(F_n)$$ on redundant representations. Zbl 1290.37003
Gelander, Tsachik; Minsky, Yair N.
2013
Word values in $$p$$-adic and adelic groups. Zbl 1288.20062
Avni, Nir; Gelander, Tsachik; Kassabov, Martin; Shalev, Aner
2013
An Aschbacher-O’Nan-Scott theorem for countable linear groups. Zbl 1285.20002
Gelander, Tsachik; Glasner, Yair
2013
A fixed point theorem for $$L ^{1}$$ spaces. Zbl 1247.46007
Bader, U.; Gelander, T.; Monod, N.
2012
Simple groups without lattices. Zbl 1239.22007
Bader, Uri; Caprace, Pierre-Emmanuel; Gelander, Tsachik; Mozes, Shahar
2012
On the growth of Betti numbers of locally symmetric spaces. Zbl 1223.53039
Abert, Miklos; Bergeron, Nicolas; Biringer, Ian; Gelander, Tsachik; Nikolov, Nikolay; Raimbault, Jean; Samet, Iddo
2011
Volume versus rank of lattices. Zbl 1235.22014
Gelander, Tsachik
2011
The generalized Chern conjecture for manifolds that are locally a product of surfaces. Zbl 1226.53034
Bucher, Michelle; Gelander, Tsachik
2011
Counting arithmetic lattices and surfaces. Zbl 1214.22002
Belolipetsky, Mikhail; Gelander, Tsachik; Lubotzky, Alexander; Shalev, Aner
2010
Compactifications and algebraic completions of limit groups. Zbl 1235.22003
Barlev, Jonathan; Gelander, Tsachik
2010
Uniform independence in linear groups. Zbl 1148.20029
Breuillard, E.; Gelander, T.
2008
Superrigidity, generalized harmonic maps and uniformly convex spaces. Zbl 1156.22005
Gelander, Tsachik; Karlsson, Anders; Margulis, Gregory A.
2008
Countable primitive groups. Zbl 1138.20005
Gelander, Tsachik; Glasner, Yair
2008
On deformations of $$F_n$$ in compact Lie groups. Zbl 1171.22007
Gelander, Tsachik
2008
Milnor-Wood inequalities for manifolds locally isometric to a product of hyperbolic planes. Zbl 1152.53026
Bucher, Michelle; Gelander, Tsachik
2008
Property $$(T)$$ and rigidity for actions on Banach spaces. Zbl 1162.22005
Bader, Uri; Furman, Alex; Gelander, Tsachik; Monod, Nicolas
2007
A topological Tits alternative. Zbl 1149.20039
Breuillard, Emmanuel; Gelander, Tsachik
2007
Dense embeddings of surface groups. Zbl 1132.22011
Breuillard, Emmanuel; Gelander, Tsachik; Souto, Juan; Storm, Peter
2006
Cheeger constant and algebraic entropy of linear groups. Zbl 1148.20030
Breuillard, Emmanuel; Gelander, Tsachik
2005
Homotopy type and volume of locally symmetric manifolds. Zbl 1076.53040
Gelander, Tsachik
2004
A note on local rigidity. Zbl 1062.22028
Bergeron, N.; Gelander, T.
2004
On dense free subgroups of Lie groups. Zbl 1014.22007
Breuillard, E.; Gelander, T.
2003
Counting hyperbolic manifolds. Zbl 1029.57021
Burger, M.; Gelander, T.; Lubotzky, A.; Mozes, S.
2002
Dependence of Kazhdan constants on generating subsets. Zbl 0993.22003
Gelander, Tsachik; Żuk, Andrzej
2002
all top 5

Cited by 389 Authors

 22 Gelander, Tsachik 10 Bader, Uri 9 Breuillard, Emmanuel 8 Belolipetsky, Mikhail V. 8 Glasner, Yair 8 Lubotzky, Alexander 8 Raimbault, Jean 7 Bowen, Lewis Phylip 7 Caprace, Pierre-Emmanuel 6 Levit, Arie 6 Mimura, Masato 5 Abért, Miklós 5 de la Salle, Mikael 5 Monod, Nicolas 5 Nowak, Piotr W. 5 Souto, Juan 5 Tessera, Romain 4 Bekka, Mohammed el Bachir 4 Biringer, Ian 4 Boumaza, Hakim 4 Bucher, Michelle 4 de Laat, Tim 4 Le Boudec, Adrien 4 Nikolov, Nikolay Valeriev 4 Sauer, Roman 4 Valette, Alain 3 Abels, Herbert 3 Bergeron, Nicolas 3 Björklund, Michael 3 Creutz, Darren 3 de Cornulier, Yves 3 Druţu, Cornelia 3 Emery, Vincent 3 Finis, Tobias 3 Fisher, David Michael 3 Furman, Alex 3 Grigorchuk, Rostislav Ivanovich 3 Katz, Matthew J. 3 Kunyavskiĭ, Boris Èmmanuilovich 3 Lafforgue, Vincent 3 Lapid, Erez Moshe 3 Lau, Anthony To-Ming 3 Linowitz, Benjamin 3 McReynolds, David Ben 3 Mila, Olivier 3 Olivier, Baptiste 3 Oppenheim, Izhar 3 Osin, Denis V. 3 Rémy, Bertrand 3 Rosendal, Christian 3 Salehi Golsefidy, Alireza 3 Samet, Iddo 3 Soifer, Grigoriĭ Aleksandrovich 3 Stover, Matthew 3 Tamuz, Omer 3 Thom, Andreas Berthold 3 Varjú, Péter Pál 3 Willis, George A. 3 Zhang, Yong 2 Aschner, Rom 2 Besson, Gérard 2 Bestvina, Mladen 2 Bou-Rabee, Khalid 2 Bourdon, Marc 2 Bourgain, Jean 2 Boutonnet, Rémi 2 Briggs, Christopher A. 2 Courtois, Gilles 2 Cueto-Avellaneda, María 2 Daltrophe, Hadassa 2 Das, Kajal 2 Detinko, Alla S. 2 Dolev, Shlomi 2 Duchesne, Bruno 2 Eisenmann, Amichai 2 Frączyk, Mikolaj 2 Fujiwara, Koji 2 Gallot, Sylvestre 2 Gamburd, Alexander 2 Giunashvili, Z. 2 Goldman, William M. 2 Gordeev, Nikolai L. 2 Green, Ben Joseph 2 Hadad, Uzy 2 Hartman, Yair 2 Hartnick, Tobias 2 Hochman, Michael 2 Huang, Jinghao 2 Ioana, Adrian 2 Kolpakov, Alexander A. 2 Kravchenko, Rostyslav V. 2 Lécureux, Jean 2 Leininger, Christopher J. 2 Lotker, Zvi 2 Margalit, Dan 2 Margulis, Grigoriĭ Aleksandrovich 2 Martin, Florian 2 Matte Bon, Nicolás 2 Meiri, Chen 2 Minsky, Yair N. ...and 289 more Authors
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Cited in 102 Serials

 21 Israel Journal of Mathematics 16 Proceedings of the American Mathematical Society 15 Duke Mathematical Journal 14 Inventiones Mathematicae 13 Geometriae Dedicata 11 Advances in Mathematics 11 Transactions of the American Mathematical Society 11 Groups, Geometry, and Dynamics 10 Journal of Algebra 10 Journal of Topology and Analysis 9 Annales de l’Institut Fourier 9 Mathematische Zeitschrift 9 Geometric and Functional Analysis. GAFA 8 Mathematische Annalen 7 Journal für die Reine und Angewandte Mathematik 7 Ergodic Theory and Dynamical Systems 7 Transformation Groups 7 Journal of the European Mathematical Society (JEMS) 7 Algebraic & Geometric Topology 6 Commentarii Mathematici Helvetici 6 Compositio Mathematica 6 Journal of Functional Analysis 6 Geometry & Topology 5 International Journal of Algebra and Computation 5 Expositiones Mathematicae 5 Annals of Mathematics. Second Series 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal d’Analyse Mathématique 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Publications Mathématiques 3 Topology and its Applications 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Journal of the Institute of Mathematics of Jussieu 3 Journal of Topology 2 Bulletin of the Australian Mathematical Society 2 Communications in Algebra 2 Journal of Mathematical Analysis and Applications 2 Bulletin of the London Mathematical Society 2 Manuscripta Mathematica 2 Monatshefte für Mathematik 2 Semigroup Forum 2 Theoretical Computer Science 2 Algorithmica 2 International Journal of Mathematics 2 Journal of Mathematical Sciences (New York) 2 Mathematical Physics, Analysis and Geometry 2 Journal of Algebra and its Applications 2 Axioms 1 Russian Mathematical Surveys 1 Studia Mathematica 1 Mathematics of Computation 1 Reviews in Mathematical Physics 1 Acta Mathematica 1 Algebra and Logic 1 The Annals of Probability 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Canadian Journal of Mathematics 1 Fundamenta Mathematicae 1 Glasgow Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of the London Mathematical Society. Second Series 1 Journal of Pure and Applied Algebra 1 Proceedings of the London Mathematical Society. Third Series 1 Siberian Mathematical Journal 1 Annals of Global Analysis and Geometry 1 Computers & Operations Research 1 Journal of the American Mathematical Society 1 Publicacions Matemàtiques 1 Forum Mathematicum 1 Computational Geometry 1 Differential Geometry and its Applications 1 The Journal of Geometric Analysis 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 L’Enseignement Mathématique. 2e Série 1 Proceedings of the National Academy of Sciences of the United States of America 1 St. Petersburg Mathematical Journal 1 Journal of Lie Theory 1 Selecta Mathematica. New Series 1 Discrete and Continuous Dynamical Systems 1 Documenta Mathematica 1 Journal of Group Theory 1 Algebras and Representation Theory 1 Communications in Contemporary Mathematics 1 Foundations of Computational Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Oberwolfach Reports 1 International Journal of Number Theory 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Fixed Point Theory and Applications 1 Journal of Mathematical Cryptology 1 Algebra & Number Theory 1 Banach Journal of Mathematical Analysis 1 Japanese Journal of Mathematics. 3rd Series 1 Quantum Topology 1 Bulletin of Mathematical Sciences 1 Forum of Mathematics, Sigma 1 Analysis and Geometry in Metric Spaces 1 Research in the Mathematical Sciences 1 Waves, Wavelets and Fractals. Advanced Analysis ...and 2 more Serials
all top 5

Cited in 40 Fields

 179 Group theory and generalizations (20-XX) 165 Topological groups, Lie groups (22-XX) 72 Manifolds and cell complexes (57-XX) 54 Functional analysis (46-XX) 51 Dynamical systems and ergodic theory (37-XX) 49 Differential geometry (53-XX) 40 Abstract harmonic analysis (43-XX) 37 Number theory (11-XX) 19 Combinatorics (05-XX) 19 Operator theory (47-XX) 15 Global analysis, analysis on manifolds (58-XX) 15 Probability theory and stochastic processes (60-XX) 14 Algebraic geometry (14-XX) 12 Geometry (51-XX) 11 Functions of a complex variable (30-XX) 10 Computer science (68-XX) 9 Measure and integration (28-XX) 8 General topology (54-XX) 6 Nonassociative rings and algebras (17-XX) 5 Associative rings and algebras (16-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Algebraic topology (55-XX) 4 Convex and discrete geometry (52-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Quantum theory (81-XX) 2 Systems theory; control (93-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 Potential theory (31-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)