Mikhail v. Belolipetsky List of Publications
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[1] Estimates for the number of automorphisms of a Riemann surface, Sib. Math. J. 38 (1997), no. 5, 860–867. [2] On Wiman bound for arithmetic Riemann surfaces, with Grzegorz Gromadzki, Glasgow Math. J. 45 (2003), 173–177. [3] Cells and representations of right-angled Coxeter groups, Selecta Math., N. S. 10 (2004), 325–339. [4] On volumes of arithmetic quotients of SO(1,n), Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5) 3 (2004), 749–770. [5] A bound for the number of automorphisms of an arithmetic Riemann surface, with Gareth A. Jones, Math. Proc. Camb. Phil. Soc. 138 (2005), 289–299. [6] Automorphism groups of Riemann surfaces of genus p+ 1, where p is prime, with Gareth A. Jones, Glasgow Math. J. 47 (2005), 379–393. [7] The mass of unimodular lattices, with Wee Teck Gan, J. Number Theory 114 (2005), 221–237. [8] Finite groups and hyperbolic manifolds, with Alex Lubotzky, Invent. Math. 162 (2005), 459–472. [9] Counting maximal arithmetic subgroups (with an appendix by Jordan Ellenberg and Akshay Venkatesh), Duke Math. J. 140 (2007), no. 1, 1–33. [10] Addendum to: On volumes of arithmetic quotients of SO(1,n), Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5) 6 (2007), 263–268. [11] Finiteness of arithmetic hyperbolic reflection groups, with Ian Agol, Peter Storm and Kevin Whyte, Groups, Geometry, and Dynamics 2 (2008), 481–498. [12] On fields of definition of arithmetic Kleinian reflection groups, Proc. Amer. Math. Soc. 137 (2009), 1035–1038. [13] Counting arithmetic lattices and surfaces, with Tsachik Gelander, Alex Lubotzky and Aner Shalev, Ann. of Math. (2) 172 (2010), 2197–2221. [14] Systoles of hyperbolic manifolds, with Scott Thomson, Algebr. Geom. Topol. 11 (2011), 1455–1469. [15] Finiteness theorems for congruence reflection groups, Transform. Groups 16 (2011), 939–954. [16] Manifolds counting and class field towers, with Alex Lubotzky, Adv. Math. 229 (2012), 3123–3146. [17] On volumes of arithmetic quotients of PO(n,1)◦, n odd, with Vincent Emery, Proc. Lond. Math. Soc. (3), 105 (2012), 541–570. [18] On 2-systoles of hyperbolic 3-manifolds, Geom. Funct. Anal., 23 (2013), 813–827. [19] Cells in Coxeter groups, I, with Paul Gunnells, J. Algebra, 385 (2013), 134–144. [20] Reflective and quasi-reflective Bianchi groups, with John Mcleod, Transform. Groups, 18 (2013), 971–994. [21] On fields of definition of arithmetic Kleinian reflection groups. II, with Ben Linowitz, Int. Math. Res. Notices (2014), Vol. 2014, 2559–2571. [22] Kazhdan-Lusztig cells in planar hyperbolic Coxeter groups and automata, with Paul Gunnells and Richard Scott, Internat. J. Algebra Comput. 24 (2014), no. 5, 757–772. [23] Hyperbolic manifolds of small volume, with Vincent Emery, Doc. Math., 19 (2014) 801–814.
منابع مشابه
Counting Maximal Arithmetic Subgroups Mikhail Belolipetsky with an Appendix by Jordan Ellenberg and Akshay Venkatesh
We study the growth rate of the number of maximal arithmetic subgroups of bounded covolumes in a semi-simple Lie group using an extension of the method due to Borel and Prasad. As an application we prove a nonuniform case of a conjecture of Lubotzky et al. on the growth of lattices in higher rank semi-simple Lie group H, which claims that the growth rate is asymptotically equal to the congruenc...
متن کاملOn fields of definition of arithmetic Kleinian reflection groups
We show that degrees of the real fields of definition of arithmetic Kleinian reflection groups are bounded by 35.
متن کاملKazhdan-Lusztig cells in planar hyperbolic Coxeter groups and automata
Let C be a oneor two-sided Kazhdan–Lusztig cell in a Coxeter group (W,S), and let Reduced(C) be the set of reduced expressions of all w ∈ C, regarded as a language over the alphabet S. Casselman has conjectured that Reduced(C) is regular. In this paper we give a conjectural description of the cells when W is the group corresponding to a hyperbolic polygon, and show that our conjectures imply Ca...
متن کاملCounting Maximal Arithmetic Subgroups Mikhail Belolipetsky with an Appendix by Jordan Ellenberg and Akshay Venkatesh
We study the growth rate of the number of maximal arithmetic subgroups of bounded covolumes in a semi-simple Lie group using an extension of the method due to Borel and Prasad.
متن کاملArithmetic Hyperbolic Reflection Groups
A hyperbolic reflection group is a discrete group generated by reflections in the faces of an n-dimensional hyperbolic polyhedron. This survey article is dedicated to the study of arithmetic hyperbolic reflection groups with an emphasis on the results that were obtained in the last ten years and on the open problems.
متن کاملCounting Maximal Arithmetic Subgroups Mikhail Belolipetsky with an Appendix by Jordan Ellenberg and Akshay Venkatesh
We study the growth rate of the number of maximal arithmetic subgroups of bounded covolumes in a semi-simple Lie group using an extension of the method due to Borel and Prasad.
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تاریخ انتشار 2015