Edit Profile (opens in new tab) Sauer, Roman Co-Author Distance Author ID: sauer.roman Published as: Sauer, Roman; Sauer, R. External Links: MGP Documents Indexed: 40 Publications since 2002, including 1 Book and 2 Additional arXiv Preprints Co-Authors: 27 Co-Authors with 32 Joint Publications 497 Co-Co-Authors all top 5 Co-Authors 8 single-authored 11 Bader, Uri 7 Furman, Alex 5 Löh, Clara 5 Lück, Wolfgang 3 Thom, Andreas Berthold 2 Fiore, Thomas M. 2 Kammeyer, Holger 2 Linnell, Peter Arnold 2 Thumann, Werner 1 Bendikov, Alexander D. 1 Bergeron, Nicolas 1 Braun, Sabine 1 Campagnolo, Caterina 1 Frigerio, Roberto 1 Gelander, Tsachik 1 Kionke, Steffen 1 Lubotzky, Alexander 1 Medynets, Kostya 1 Moraschini, Marco 1 Pagliantini, Cristina 1 Petersen, Henrik Densing 1 Pittet, Christophe 1 Raimbault, Jean 1 Rosendal, Christian 1 Schrödl, Michael 1 Wegner, Christian 1 Weinberger, Shmuel all top 5 Serials 3 Groups, Geometry, and Dynamics 2 IMRN. International Mathematics Research Notices 2 Geometric and Functional Analysis. GAFA 2 Journal of Topology 2 Journal of Topology and Analysis 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Advances in Mathematics 1 Bulletin of the London Mathematical Society 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Fundamenta Mathematicae 1 Geometriae Dedicata 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 International Journal of Algebra and Computation 1 L’Enseignement Mathématique. 2e Série 1 The New York Journal of Mathematics 1 Documenta Mathematica 1 Geometry & Topology 1 Journal of the European Mathematical Society (JEMS) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Forum of Mathematics, Sigma all top 5 Fields 18 Group theory and generalizations (20-XX) 15 Topological groups, Lie groups (22-XX) 12 Algebraic topology (55-XX) 8 Manifolds and cell complexes (57-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Differential geometry (53-XX) 5 Abstract harmonic analysis (43-XX) 5 Functional analysis (46-XX) 3 Category theory; homological algebra (18-XX) 2 Number theory (11-XX) 2 Associative rings and algebras (16-XX) 2 \(K\)-theory (19-XX) 2 Measure and integration (28-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Functions of a complex variable (30-XX) 1 General topology (54-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 34 Publications have been cited 287 times in 212 Documents Cited by ▼ Year ▼ Integrable measure equivalence and rigidity of hyperbolic lattices. Zbl 1279.22012 Bader, Uri; Furman, Alex; Sauer, Roman 27 2013 Degree theorems and Lipschitz simplicial volume for nonpositively curved manifolds of finite volume. Zbl 1187.53043 Löh, Clara; Sauer, Roman 21 2009 Homological invariants and quasi-isometry. Zbl 1173.20032 Sauer, R. 18 2006 Integral foliated simplicial volume of aspherical manifolds. Zbl 1361.57022 Frigerio, Roberto; Löh, Clara; Pagliantini, Cristina; Sauer, Roman 17 2016 Spectral distribution and \(L^{2}\)-isoperimetric profile of Laplace operators on groups. Zbl 1268.43001 Bendikov, Alexander; Pittet, Christophe; Sauer, Roman 15 2012 Amenable covers, volume and \(L^{2}\)-Betti numbers of aspherical manifolds. Zbl 1188.55003 Sauer, Roman 13 2009 \(L^2\)-Betti numbers of discrete measured groupoids. Zbl 1099.46045 Sauer, Roman 13 2005 Volume and homology growth of aspherical manifolds. Zbl 1338.53067 Sauer, Roman 13 2016 Simplicial volume of Hilbert modular varieties. Zbl 1180.53046 Löh, Clara; Sauer, Roman 12 2009 Weak notions of normality and vanishing up to rank in \(L^2\)-cohomology. Zbl 1347.20055 Bader, Uri; Furman, Alex; Sauer, Roman 10 2014 On the cohomology of weakly almost periodic group representations. Zbl 1298.22005 Bader, Uri; Rosendal, Christian; Sauer, Roman 10 2014 On the structure and arithmeticity of lattice envelopes. (Sur la structure et l’arithméticité des groupes enveloppant un réseau.) Zbl 1315.22012 Bader, Uri; Furman, Alex; Sauer, Roman 9 2015 A spectral sequence to compute \(L^{2}\)-Betti numbers of groups and groupoids. Zbl 1196.37012 Sauer, Roman; Thom, Andreas 8 2010 On the growth of Betti numbers in \(p\)-adic analytic towers. Zbl 1298.55007 Bergeron, Nicolas; Linnell, Peter; Lück, Wolfgang; Sauer, Roman 8 2014 Cantor systems and quasi-isometry of groups. Zbl 1377.37020 Medynets, Kostya; Sauer, Roman; Thom, Andreas 8 2017 Bounded cohomology of amenable covers via classifying spaces. Zbl 1475.55004 Löh, Clara; Sauer, Roman 8 2020 The limit of \(\mathbb F_p\)-Betti numbers of a tower of finite covers with amenable fundamental groups. Zbl 1272.55006 Linnell, Peter; Lück, Wolfgang; Sauer, Roman 7 2011 \(L^2\)-Betti numbers of totally disconnected groups and their approximation by Betti numbers of lattices. Zbl 1388.22008 Petersen, Henrik Densing; Sauer, Roman; Thom, Andreas 7 2018 Topological models of finite type for tree almost automorphism groups. Zbl 1405.22006 Sauer, Roman; Thumann, Werner 7 2017 \(L^2\)-invariants of groups and discrete measured groupoids. Zbl 1015.55004 Sauer, Roman 6 2002 \(L^{2}\)-torsion, the measure-theoretic determinant conjecture, and uniform measure equivalence. Zbl 1195.57053 Lück, Wolfgang; Sauer, Roman; Wegner, Christian 6 2010 Efficient subdivision in hyperbolic groups and applications. Zbl 1345.20058 Bader, Uri; Furman, Alex; Sauer, Roman 6 2013 Euler characteristics of categories and homotopy colimits. Zbl 1267.18011 Fiore, Thomas M.; Lück, Wolfgang; Sauer, Roman 5 2011 Vanishing of \(\ell^2\)-Betti numbers of locally compact groups as an invariant of coarse equivalence. Zbl 1452.22001 Sauer, Roman; Schrödl, Michael 5 2018 Finiteness obstructions and Euler characteristics of categories. Zbl 1242.18014 Fiore, Thomas M.; Lück, Wolfgang; Sauer, Roman 4 2011 Homology and homotopy complexity in negative curvature. Zbl 1448.57032 Bader, Uri; Gelander, Tsachik; Sauer, Roman 4 2020 \(L^2\)-Betti number of discrete and non-discrete groups. Zbl 1407.22003 Sauer, Roman 4 2018 Power series over the group ring of a free group and applications to Novikov-Shubin invariants. Zbl 1051.16013 Sauer, Roman 3 2003 Profinite invariants of arithmetic groups. Zbl 1456.20023 Kammeyer, Holger; Kionke, Steffen; Raimbault, Jean; Sauer, Roman 3 2020 Lattice envelopes. Zbl 1515.22002 Bader, Uri; Furman, Alex; Sauer, Roman 3 2020 An adelic arithmeticity theorem for lattices in products. Zbl 07126322 Bader, Uri; Furman, Alex; Sauer, Roman 2 2019 Counting maximally broken Morse trajectories on aspherical manifolds. Zbl 1423.57054 Campagnolo, Caterina; Sauer, Roman 2 2019 \(S\)-arithmetic spinor groups with the same finite quotients and distinct \(\ell^2\)-cohomology. Zbl 1511.20194 Kammeyer, Holger; Sauer, Roman 2 2020 Volume and macroscopic scalar curvature. Zbl 1494.53043 Braun, Sabine; Sauer, Roman 1 2021 Volume and macroscopic scalar curvature. Zbl 1494.53043 Braun, Sabine; Sauer, Roman 1 2021 Bounded cohomology of amenable covers via classifying spaces. Zbl 1475.55004 Löh, Clara; Sauer, Roman 8 2020 Homology and homotopy complexity in negative curvature. Zbl 1448.57032 Bader, Uri; Gelander, Tsachik; Sauer, Roman 4 2020 Profinite invariants of arithmetic groups. Zbl 1456.20023 Kammeyer, Holger; Kionke, Steffen; Raimbault, Jean; Sauer, Roman 3 2020 Lattice envelopes. Zbl 1515.22002 Bader, Uri; Furman, Alex; Sauer, Roman 3 2020 \(S\)-arithmetic spinor groups with the same finite quotients and distinct \(\ell^2\)-cohomology. Zbl 1511.20194 Kammeyer, Holger; Sauer, Roman 2 2020 An adelic arithmeticity theorem for lattices in products. Zbl 07126322 Bader, Uri; Furman, Alex; Sauer, Roman 2 2019 Counting maximally broken Morse trajectories on aspherical manifolds. Zbl 1423.57054 Campagnolo, Caterina; Sauer, Roman 2 2019 \(L^2\)-Betti numbers of totally disconnected groups and their approximation by Betti numbers of lattices. Zbl 1388.22008 Petersen, Henrik Densing; Sauer, Roman; Thom, Andreas 7 2018 Vanishing of \(\ell^2\)-Betti numbers of locally compact groups as an invariant of coarse equivalence. Zbl 1452.22001 Sauer, Roman; Schrödl, Michael 5 2018 \(L^2\)-Betti number of discrete and non-discrete groups. Zbl 1407.22003 Sauer, Roman 4 2018 Cantor systems and quasi-isometry of groups. Zbl 1377.37020 Medynets, Kostya; Sauer, Roman; Thom, Andreas 8 2017 Topological models of finite type for tree almost automorphism groups. Zbl 1405.22006 Sauer, Roman; Thumann, Werner 7 2017 Integral foliated simplicial volume of aspherical manifolds. Zbl 1361.57022 Frigerio, Roberto; Löh, Clara; Pagliantini, Cristina; Sauer, Roman 17 2016 Volume and homology growth of aspherical manifolds. Zbl 1338.53067 Sauer, Roman 13 2016 On the structure and arithmeticity of lattice envelopes. (Sur la structure et l’arithméticité des groupes enveloppant un réseau.) Zbl 1315.22012 Bader, Uri; Furman, Alex; Sauer, Roman 9 2015 Weak notions of normality and vanishing up to rank in \(L^2\)-cohomology. Zbl 1347.20055 Bader, Uri; Furman, Alex; Sauer, Roman 10 2014 On the cohomology of weakly almost periodic group representations. Zbl 1298.22005 Bader, Uri; Rosendal, Christian; Sauer, Roman 10 2014 On the growth of Betti numbers in \(p\)-adic analytic towers. Zbl 1298.55007 Bergeron, Nicolas; Linnell, Peter; Lück, Wolfgang; Sauer, Roman 8 2014 Integrable measure equivalence and rigidity of hyperbolic lattices. Zbl 1279.22012 Bader, Uri; Furman, Alex; Sauer, Roman 27 2013 Efficient subdivision in hyperbolic groups and applications. Zbl 1345.20058 Bader, Uri; Furman, Alex; Sauer, Roman 6 2013 Spectral distribution and \(L^{2}\)-isoperimetric profile of Laplace operators on groups. Zbl 1268.43001 Bendikov, Alexander; Pittet, Christophe; Sauer, Roman 15 2012 The limit of \(\mathbb F_p\)-Betti numbers of a tower of finite covers with amenable fundamental groups. Zbl 1272.55006 Linnell, Peter; Lück, Wolfgang; Sauer, Roman 7 2011 Euler characteristics of categories and homotopy colimits. Zbl 1267.18011 Fiore, Thomas M.; Lück, Wolfgang; Sauer, Roman 5 2011 Finiteness obstructions and Euler characteristics of categories. Zbl 1242.18014 Fiore, Thomas M.; Lück, Wolfgang; Sauer, Roman 4 2011 A spectral sequence to compute \(L^{2}\)-Betti numbers of groups and groupoids. Zbl 1196.37012 Sauer, Roman; Thom, Andreas 8 2010 \(L^{2}\)-torsion, the measure-theoretic determinant conjecture, and uniform measure equivalence. Zbl 1195.57053 Lück, Wolfgang; Sauer, Roman; Wegner, Christian 6 2010 Degree theorems and Lipschitz simplicial volume for nonpositively curved manifolds of finite volume. Zbl 1187.53043 Löh, Clara; Sauer, Roman 21 2009 Amenable covers, volume and \(L^{2}\)-Betti numbers of aspherical manifolds. Zbl 1188.55003 Sauer, Roman 13 2009 Simplicial volume of Hilbert modular varieties. Zbl 1180.53046 Löh, Clara; Sauer, Roman 12 2009 Homological invariants and quasi-isometry. Zbl 1173.20032 Sauer, R. 18 2006 \(L^2\)-Betti numbers of discrete measured groupoids. Zbl 1099.46045 Sauer, Roman 13 2005 Power series over the group ring of a free group and applications to Novikov-Shubin invariants. Zbl 1051.16013 Sauer, Roman 3 2003 \(L^2\)-invariants of groups and discrete measured groupoids. Zbl 1015.55004 Sauer, Roman 6 2002 all cited Publications top 5 cited Publications all top 5 Cited by 221 Authors 15 Löh, Clara 15 Sauer, Roman 9 Kyed, David 8 Bader, Uri 7 Moraschini, Marco 6 Frigerio, Roberto 6 Kim, Sungwoon 6 Kionke, Steffen 6 Savini, Alessio 5 Bendikov, Alexander D. 5 Furman, Alex 5 Kammeyer, Holger 5 Lück, Wolfgang 5 Petersen, Henrik Densing 5 Tessera, Romain 4 Caprace, Pierre-Emmanuel 4 de la Salle, Mikael 4 Gelander, Tsachik 4 Kida, Yoshikata 4 Kim, Inkang 4 Le Boudec, Adrien 4 Pittet, Christophe 4 Rémy, Bertrand 3 Avramidi, Grigori 3 Bergeron, Nicolas 3 Bridson, Martin R. 3 Fauser, Daniel 3 Grabowski, Łukasz 3 Jiang, Yongle 3 Koivisto, Juhani 3 Li, Xin 3 Pagliantini, Cristina 3 Raimbault, Jean 3 Thom, Andreas Berthold 3 Vaes, Stefaan 3 Zheng, Tianyi 2 Alekseev, Vadim 2 Austin, Tim D. 2 Badea, Cornelia Druţu 2 Bartels, Arthur C. 2 Bobikau, Barbara 2 Bourdon, Marc 2 Bucher, Michelle 2 Campagnolo, Caterina 2 Carderi, Alessandro 2 Castellano, Ilaria 2 Connell, Chris 2 Das, Kajal 2 de Laat, Tim 2 Elek, Gábor 2 Engel, Alexander 2 Friedl, Stefan 2 Gaboriau, Damien 2 Gálvez-Carrillo, Imma 2 Gournay, Antoine 2 Grigorchuk, Rostislav Ivanovich 2 Iozzi, Alessandra 2 Kerr, David 2 Kock, Joachim 2 Kramer, Linus 2 Kropholler, Peter H. 2 Le Donne, Enrico 2 Lederle, Waltraud 2 Levit, Arie 2 Marcinkowski, Michał 2 Pallier, Gabriel 2 Raum, Sven 2 Saloff-Coste, Laurent 2 Schreve, Kevin 2 Shlyakhtenko, Dimitri L. 2 Tonks, Andrew 2 Tucker-Drob, Robin D. 2 Wesolek, Phillip Richard 1 Abért, Miklós 1 Allouch, Samer 1 Auricchio, Ferdinando 1 Balci, Gül 1 Banakh, Taras Onufrievich 1 Bargagnati, Giuseppe 1 Belegradek, Igor 1 Bell, Gregory C. 1 Biringer, Ian 1 Björklund, Michael 1 Boutayeb, Salahaddine 1 Bowen, Lewis Phylip 1 Brandenbursky, Michael 1 Braun, Sabine 1 Breuillard, Emmanuel 1 Brieussel, Jérémie 1 Brück, Benjamin 1 Burger, Marc 1 Cabrera, Jean-Marie 1 Candido, Leandro 1 Cantrell, Michael 1 Capovilla, Pietro 1 Carbone, Lisa J. 1 Chifan, Ionuţ 1 Chung, Nhan-Phu 1 Corob Cook, Ged 1 Corro, Diego ...and 121 more Authors all top 5 Cited in 78 Serials 15 Groups, Geometry, and Dynamics 12 Mathematische Annalen 11 Transactions of the American Mathematical Society 11 Journal of Topology and Analysis 10 Algebraic & Geometric Topology 8 Geometriae Dedicata 7 Annales de l’Institut Fourier 7 Duke Mathematical Journal 6 Advances in Mathematics 6 Commentarii Mathematici Helvetici 6 Mathematische Zeitschrift 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Bulletin of the London Mathematical Society 4 Compositio Mathematica 4 Journal of Functional Analysis 4 Ergodic Theory and Dynamical Systems 4 Geometric and Functional Analysis. GAFA 3 Glasgow Mathematical Journal 3 Annales Henri Lebesgue 2 Israel Journal of Mathematics 2 Inventiones Mathematicae 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica 2 Proceedings of the London Mathematical Society. Third Series 2 Topology and its Applications 2 Journal of the American Mathematical Society 2 International Journal of Algebra and Computation 2 Expositiones Mathematicae 2 Transformation Groups 2 Geometry & Topology 2 Annals of Mathematics. Second Series 2 Oberwolfach Reports 2 Forum of Mathematics, Sigma 2 Journal de l’École Polytechnique – Mathématiques 1 Communications in Algebra 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Mathematical Analysis and Applications 1 Periodica Mathematica Hungarica 1 Journal of Geometry and Physics 1 Acta Arithmetica 1 The Annals of Probability 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Colloquium Mathematicum 1 Fundamenta Mathematicae 1 Illinois Journal of Mathematics 1 Publications Mathématiques 1 Journal of Algebra 1 Journal of the London Mathematical Society. Second Series 1 Memoirs of the American Mathematical Society 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Tôhoku Mathematical Journal. Second Series 1 Annals of Global Analysis and Geometry 1 Probability Theory and Related Fields 1 Forum Mathematicum 1 Sugaku Expositions 1 Differential Geometry and its Applications 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Experimental Mathematics 1 Potential Analysis 1 Annales Mathématiques Blaise Pascal 1 The New York Journal of Mathematics 1 Journal of the European Mathematical Society (JEMS) 1 Journal of the Australian Mathematical Society 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of the Institute of Mathematics of Jussieu 1 Journal of Noncommutative Geometry 1 Journal of Topology 1 Annales Mathématiques du Québec 1 Analysis and Geometry in Metric Spaces 1 Research in the Mathematical Sciences 1 European Journal of Mathematics 1 Journal of Combinatorial Algebra 1 SIAM Journal on Applied Algebra and Geometry all top 5 Cited in 35 Fields 110 Group theory and generalizations (20-XX) 74 Topological groups, Lie groups (22-XX) 66 Manifolds and cell complexes (57-XX) 46 Dynamical systems and ergodic theory (37-XX) 35 Algebraic topology (55-XX) 33 Differential geometry (53-XX) 31 Functional analysis (46-XX) 20 Abstract harmonic analysis (43-XX) 12 Probability theory and stochastic processes (60-XX) 11 Category theory; homological algebra (18-XX) 10 Number theory (11-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Combinatorics (05-XX) 8 Measure and integration (28-XX) 4 General and overarching topics; collections (00-XX) 4 Associative rings and algebras (16-XX) 4 \(K\)-theory (19-XX) 4 Geometry (51-XX) 4 General topology (54-XX) 3 Algebraic geometry (14-XX) 3 Nonassociative rings and algebras (17-XX) 3 Functions of a complex variable (30-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Operator theory (47-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year