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## Belolipetsky, Mikhail V.

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 Author ID: belolipetsky.mikhail-v Published as: Belolipetsky, Mikhail; Belolipetsky, Mikhail V.; Belolipetskij, M. V.; Belolipetsky, M. V.
 Documents Indexed: 31 Publications since 1997 Reviewing Activity: 83 Reviews
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#### Co-Authors

 11 single-authored 4 Lubotzky, Alexander 3 Emery, Vincent 3 Gunnells, Paul E. 2 Jones, Gareth A. 2 Linowitz, Benjamin 1 Agol, Ian 1 Dória, Cayo 1 Gan, Wee Teck 1 Gelander, Tsachik 1 Gromadzki, Grzegorz 1 Kellerhals, Ruth 1 Mcleod, John 1 Scott, Richard Allan 1 Shalev, Aner 1 Storm, Peter A. 1 Thomson, Scott A. 1 Whyte, Kevin
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#### Serials

 2 Advances in Mathematics 2 Glasgow Mathematical Journal 2 Transformation Groups 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Groups, Geometry, and Dynamics 1 Israel Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Duke Mathematical Journal 1 Geometriae Dedicata 1 Inventiones Mathematicae 1 Journal of Algebra 1 Journal of Number Theory 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Siberian Mathematical Journal 1 International Journal of Algebra and Computation 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 Bulletin of the American Mathematical Society. New Series 1 Selecta Mathematica. New Series 1 Documenta Mathematica 1 Annals of Mathematics. Second Series 1 Algebraic & Geometric Topology 1 Oberwolfach Reports 1 Journal of Generalized Lie Theory and Applications
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#### Fields

 19 Group theory and generalizations (20-XX) 18 Topological groups, Lie groups (22-XX) 10 Number theory (11-XX) 7 Geometry (51-XX) 7 Manifolds and cell complexes (57-XX) 6 Functions of a complex variable (30-XX) 5 Differential geometry (53-XX) 2 Algebraic geometry (14-XX) 1 General and overarching topics; collections (00-XX) 1 Global analysis, analysis on manifolds (58-XX)

#### Citations contained in zbMATH Open

26 Publications have been cited 176 times in 114 Documents Cited by Year
Counting arithmetic lattices and surfaces. Zbl 1214.22002
Belolipetsky, Mikhail; Gelander, Tsachik; Lubotzky, Alexander; Shalev, Aner
2010
Automorphism groups of Riemann surfaces on genus $$p+1$$, where $$p$$ is prime. Zbl 1084.30050
Belolipetsky, Mikhail; Jones, Gareth A.
2005
On volumes of arithmetic quotients of $$\mathrm{PO}(n, 1)^{\circ}$$, $$n$$ odd. Zbl 1327.22013
Belolipetsky, Mikhail; Emery, Vincent
2012
On volumes of arithmetic quotients of $$\mathrm{SO}(1,n)$$. Zbl 1170.11307
Belolipetsky, Mikhail
2004
Finite groups and hyperbolic manifolds. Zbl 1113.57007
Belolipetsky, Mikhail; Lubotzky, Alexander
2005
Finiteness of arithmetic hyperbolic reflection groups. Zbl 1194.22011
Agol, Ian; Belolipetsky, Mikhail; Storm, Peter; Whyte, Kevin
2008
Counting maximal arithmetic subgroups. Appendix by Jordan Ellenberg and Akshay Venkatesh. Zbl 1131.22008
Belolipetsky, Mikhail
2007
Systoles of hyperbolic manifolds. Zbl 1248.22004
Belolipetsky, Mikhail V.; Thomson, Scott A.
2011
Cells and representations of right-angled Coxeter groups. Zbl 1074.20028
Belolipetsky, Mikhail
2004
Manifolds counting and class field towers. Zbl 1241.22014
Belolipetsky, Mikhail; Lubotzky, Alexander
2012
Addendum: On volumes of arithmetic quotients of $$\mathrm{SO}(1,n)$$. Zbl 1278.11044
Belolipetsky, Mikhail
2007
On fields of definition of arithmetic Kleinian reflection groups. Zbl 1179.30040
Belolipetsky, Mikhail
2009
Finiteness theorems for congruence reflection groups. Zbl 1255.20039
Belolipetsky, Mikhail
2011
On fields of definition of arithmetic Kleinian reflection groups. II. Zbl 1301.30038
Belolipetsky, Mikhail; Linowitz, Benjamin
2014
Arithmetic hyperbolic reflection groups. Zbl 1342.22017
Belolipetsky, Mikhail
2016
On 2-systoles of hyperbolic 3-manifolds. Zbl 1275.57025
Belolipetsky, Mikhail
2013
The mass of unimodular lattices. Zbl 1076.11025
Belolipetsky, Mikhail; Gan, Wee Teck
2005
Hyperbolic orbifolds of small volume. Zbl 1373.22017
Belolipetsky, Mikhail
2014
A bound for the number of automorphisms of an arithmetic Riemann surface. Zbl 1064.30041
Belolipetsky, Mikhail; Jones, Gareth A.
2005
Kazhdan Lusztig cells in infinite Coxeter groups. Zbl 1372.20008
Belolipetsky, M. V.; Gunnells, P. E.
2015
Cells in Coxeter groups. I. Zbl 1297.20036
Belolipetsky, Mikhail V.; Gunnells, Paul E.
2013
Reflective and quasi-reflective Bianchi groups. Zbl 1309.20043
Belolipetsky, Mikhail; Mcleod, John
2013
Kazhdan-Lusztig cells in planar hyperbolic Coxeter groups and automata. Zbl 1314.20027
Belolipetsky, Mikhail V.; Gunnells, Paul E.; Scott, Richard A.
2014
Hyperbolic manifolds of small volume. Zbl 1348.22013
Belolipetsky, Mikhail; Emery, Vincent
2014
On Wiman bound for arithmetic Riemann surfaces. Zbl 1026.30038
2003
Counting isospectral manifolds. Zbl 1382.22014
Belolipetsky, Mikhail; Linowitz, Benjamin
2017
Counting isospectral manifolds. Zbl 1382.22014
Belolipetsky, Mikhail; Linowitz, Benjamin
2017
Arithmetic hyperbolic reflection groups. Zbl 1342.22017
Belolipetsky, Mikhail
2016
Kazhdan Lusztig cells in infinite Coxeter groups. Zbl 1372.20008
Belolipetsky, M. V.; Gunnells, P. E.
2015
On fields of definition of arithmetic Kleinian reflection groups. II. Zbl 1301.30038
Belolipetsky, Mikhail; Linowitz, Benjamin
2014
Hyperbolic orbifolds of small volume. Zbl 1373.22017
Belolipetsky, Mikhail
2014
Kazhdan-Lusztig cells in planar hyperbolic Coxeter groups and automata. Zbl 1314.20027
Belolipetsky, Mikhail V.; Gunnells, Paul E.; Scott, Richard A.
2014
Hyperbolic manifolds of small volume. Zbl 1348.22013
Belolipetsky, Mikhail; Emery, Vincent
2014
On 2-systoles of hyperbolic 3-manifolds. Zbl 1275.57025
Belolipetsky, Mikhail
2013
Cells in Coxeter groups. I. Zbl 1297.20036
Belolipetsky, Mikhail V.; Gunnells, Paul E.
2013
Reflective and quasi-reflective Bianchi groups. Zbl 1309.20043
Belolipetsky, Mikhail; Mcleod, John
2013
On volumes of arithmetic quotients of $$\mathrm{PO}(n, 1)^{\circ}$$, $$n$$ odd. Zbl 1327.22013
Belolipetsky, Mikhail; Emery, Vincent
2012
Manifolds counting and class field towers. Zbl 1241.22014
Belolipetsky, Mikhail; Lubotzky, Alexander
2012
Systoles of hyperbolic manifolds. Zbl 1248.22004
Belolipetsky, Mikhail V.; Thomson, Scott A.
2011
Finiteness theorems for congruence reflection groups. Zbl 1255.20039
Belolipetsky, Mikhail
2011
Counting arithmetic lattices and surfaces. Zbl 1214.22002
Belolipetsky, Mikhail; Gelander, Tsachik; Lubotzky, Alexander; Shalev, Aner
2010
On fields of definition of arithmetic Kleinian reflection groups. Zbl 1179.30040
Belolipetsky, Mikhail
2009
Finiteness of arithmetic hyperbolic reflection groups. Zbl 1194.22011
Agol, Ian; Belolipetsky, Mikhail; Storm, Peter; Whyte, Kevin
2008
Counting maximal arithmetic subgroups. Appendix by Jordan Ellenberg and Akshay Venkatesh. Zbl 1131.22008
Belolipetsky, Mikhail
2007
Addendum: On volumes of arithmetic quotients of $$\mathrm{SO}(1,n)$$. Zbl 1278.11044
Belolipetsky, Mikhail
2007
Automorphism groups of Riemann surfaces on genus $$p+1$$, where $$p$$ is prime. Zbl 1084.30050
Belolipetsky, Mikhail; Jones, Gareth A.
2005
Finite groups and hyperbolic manifolds. Zbl 1113.57007
Belolipetsky, Mikhail; Lubotzky, Alexander
2005
The mass of unimodular lattices. Zbl 1076.11025
Belolipetsky, Mikhail; Gan, Wee Teck
2005
A bound for the number of automorphisms of an arithmetic Riemann surface. Zbl 1064.30041
Belolipetsky, Mikhail; Jones, Gareth A.
2005
On volumes of arithmetic quotients of $$\mathrm{SO}(1,n)$$. Zbl 1170.11307
Belolipetsky, Mikhail
2004
Cells and representations of right-angled Coxeter groups. Zbl 1074.20028
Belolipetsky, Mikhail
2004
On Wiman bound for arithmetic Riemann surfaces. Zbl 1026.30038
2003
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#### Cited by 131 Authors

 14 Belolipetsky, Mikhail V. 7 Linowitz, Benjamin 5 Conder, Marston D. E. 5 Lubotzky, Alexander 5 Reyes-Carocca, Sebastián 5 Širáň, Jozef 4 Emery, Vincent 4 Gelander, Tsachik 4 Kellerhals, Ruth 4 Stover, Matthew 3 Breda d’Azevedo, Antonio J. 3 Gunnells, Paul E. 3 Izquierdo, Milagros 3 Jones, Gareth A. 3 Mila, Olivier 3 Schweizer, Andreas 2 Adeboye, Ilesanmi 2 Cox, Ben Lewis 2 Gromadzki, Grzegorz 2 Maclachlan, Colin 2 Mcleod, John 2 McReynolds, David Ben 2 Meyer, Jeffrey S. 2 Mohammadi, Amir 2 Ratcliffe, John G. 2 Salehi Golsefidy, Alireza 2 Szczepański, Andrzej 2 Tschantz, Steven Thomas 2 Voight, John Michael 2 Wei, Guofang 2 Weinberger, Shmuel 2 Xie, Xun 2 Zhao, Kaiming 1 Agol, Ian 1 Allcock, Daniel Jonathan 1 Aougab, Tarik 1 Arapura, Donu 1 Bader, Uri 1 Bagiński, Czesław 1 Bayer-Fluckiger, Eva 1 Benson, Brian A. 1 Bogachev, N. V. 1 Botvinnik, Boris I. 1 Bou-Rabee, Khalid 1 Bridson, Martin R. 1 Cappell, Sylvain E. 1 Carocca, Angel 1 Catalano, Domenico A. 1 Chait-Roth, Devora 1 Cui, Alisa 1 Di Cerbo, Luca Fabrizio 1 Dunfield, Nathan M. 1 Džambić, Amir 1 Einsiedler, Manfred Leopold 1 Eisenmann, Amichai 1 Everitt, Brent 1 Felikson, Anna Aleksandrovna 1 Fowler, Jim 1 Friedl, Stefan 1 Gao, Jianwei 1 Gendulphe, Matthieu 1 Guo, Xiangqian 1 Guth, Lawrence David 1 Hanke, Bernhard 1 Jacquemet, Matthieu 1 Jensen, Lars Thorge 1 Kaletha, Tasho 1 Kapovich, Michael 1 Kato, Fumiharu 1 Katz, Karin Usadi 1 Katz, Mikhail G. 1 Kolpakov, Alexander A. 1 Lackenby, Marc 1 Lakeland, Grant S. 1 Leininger, Christopher J. 1 Levit, Arie 1 Lü, Rencai 1 Lutowski, Rafał 1 Margalit, Dan 1 Margulis, Grigoriĭ Aleksandrovich 1 Mark, Alice 1 May, Coy L. 1 Mednykh, Aleksandr Dmitrievich 1 Mednykh, Il’ya Aleksandrovich 1 Millichap, Christian 1 Müllner, Daniel 1 Murillo, Plinio G. P. 1 Nedela, Roman 1 Page, Aurel 1 Park, Junghwan 1 Patel, Priyam 1 Petri, Bram 1 Pollack, Paul 1 Raimbault, Jean 1 Ray, Arunima 1 Riolo, Stefano 1 Rojas, Anita M. 1 Sabourau, Stéphane 1 Samet, Iddo 1 Sauer, Roman ...and 31 more Authors
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#### Cited in 57 Serials

 8 Journal of Algebra 8 Algebraic & Geometric Topology 7 Geometriae Dedicata 6 Geometry & Topology 5 Advances in Mathematics 4 Proceedings of the American Mathematical Society 4 Journal of the European Mathematical Society (JEMS) 3 Israel Journal of Mathematics 3 Duke Mathematical Journal 3 Mathematische Zeitschrift 3 Transactions of the American Mathematical Society 3 Selecta Mathematica. New Series 3 Transformation Groups 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Archiv der Mathematik 2 Inventiones Mathematicae 2 Journal of Pure and Applied Algebra 2 Discrete & Computational Geometry 2 Revista Matemática Iberoamericana 2 Geometric and Functional Analysis. GAFA 2 Groups, Geometry, and Dynamics 1 Discrete Mathematics 1 Journal of Mathematical Physics 1 Mathematics of Computation 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin of the London Mathematical Society 1 Commentarii Mathematici Helvetici 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of the London Mathematical Society. Second Series 1 Journal of Number Theory 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Topology and its Applications 1 European Journal of Combinatorics 1 Journal of the American Mathematical Society 1 International Journal of Algebra and Computation 1 Differential Geometry and its Applications 1 Bulletin of the American Mathematical Society. New Series 1 Electronic Research Announcements of the American Mathematical Society 1 Documenta Mathematica 1 Doklady Mathematics 1 Representation Theory 1 The Ramanujan Journal 1 Annals of Combinatorics 1 Annals of Mathematics. Second Series 1 Communications in Contemporary Mathematics 1 Computational Methods and Function Theory 1 Journal of Algebra and its Applications 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Groups, Complexity, Cryptology 1 Analysis and Mathematical Physics 1 Mathematics 1 Transactions of the American Mathematical Society. Series B 1 Annales Fennici Mathematici
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#### Cited in 22 Fields

 57 Group theory and generalizations (20-XX) 40 Topological groups, Lie groups (22-XX) 37 Manifolds and cell complexes (57-XX) 31 Number theory (11-XX) 19 Functions of a complex variable (30-XX) 18 Geometry (51-XX) 17 Algebraic geometry (14-XX) 15 Differential geometry (53-XX) 10 Combinatorics (05-XX) 8 Convex and discrete geometry (52-XX) 6 Global analysis, analysis on manifolds (58-XX) 4 Algebraic topology (55-XX) 3 Nonassociative rings and algebras (17-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Dynamical systems and ergodic theory (37-XX) 1 General and overarching topics; collections (00-XX) 1 $$K$$-theory (19-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX)