Edit Profile (opens in new tab) Kellerhals, Ruth Co-Author Distance Author ID: kellerhals.ruth Published as: Kellerhals, Ruth; Kellerhals, R. External Links: MGP · Wikidata · GND Documents Indexed: 38 Publications since 1989 1 Contribution as Editor · 1 Further Contribution Reviewing Activity: 30 Reviews Co-Authors: 17 Co-Authors with 16 Joint Publications 220 Co-Co-Authors all top 5 Co-Authors 23 single-authored 2 Drewitz, Simon T. 2 Emery, Vincent 2 Guglielmetti, Rafael 2 Jacquemet, Matthieu 2 Johnson, Norman Woodason 2 Ratcliffe, John G. 2 Tschantz, Steven Thomas 1 Abouzahra, M. D. 1 Belolipetsky, Mikhail V. 1 Bloch, Spencer J. 1 Bredon, Naomi 1 Browkin, Jerzy 1 Conder, Marston Donald Edward 1 Dotti, Edoardo 1 Hain, Richard M. 1 Hild, Thierry 1 Kolpakov, Alexander A. 1 Lewin, Leonard 1 Liechti, Livio 1 Loxton, John H. 1 MacPherson, Robert Duncan 1 Nonaka, Jun 1 Perren, Geneviève 1 Ray, Gary Alan 1 Sah, H. 1 Wechsung, Gerd 1 Wojtkowiak, Zdzisław 1 Zagier, Don 1 Zehrt, Thomas all top 5 Serials 3 Canadian Journal of Mathematics 2 Geometriae Dedicata 2 Discrete & Computational Geometry 2 Transformation Groups 2 Algebraic & Geometric Topology 1 Israel Journal of Mathematics 1 Mathematische Semesterberichte 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 The Mathematical Intelligencer 1 Bulletin of the London Mathematical Society 1 Commentarii Mathematici Helvetici 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Tokyo Journal of Mathematics 1 Topology 1 Transactions of the American Mathematical Society 1 European Journal of Combinatorics 1 Annals of Global Analysis and Geometry 1 Geometric and Functional Analysis. GAFA 1 Elemente der Mathematik 1 Linear Algebra and its Applications 1 Journal of Knot Theory and its Ramifications 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Computational Methods and Function Theory 1 Oberwolfach Reports 1 Mathematical Surveys and Monographs 1 Groups, Geometry, and Dynamics 1 RIMS Kôkyûroku Bessatsu 1 Mathematics all top 5 Fields 28 Geometry (51-XX) 19 Group theory and generalizations (20-XX) 13 Manifolds and cell complexes (57-XX) 12 Convex and discrete geometry (52-XX) 10 Topological groups, Lie groups (22-XX) 5 Number theory (11-XX) 4 Differential geometry (53-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 \(K\)-theory (19-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 34 Publications have been cited 297 times in 168 Documents Cited by ▼ Year ▼ Structural properties of polylogarithms. Zbl 0745.33009 65 1991 On the volume of hyperbolic polyhedra. Zbl 0664.51012 Kellerhals, Ruth 59 1989 The size of hyperbolic Coxeter simplex. Zbl 0953.20041 Johnson, N. W.; Kellerhals, R.; Ratcliffe, J. G.; Tschantz, S. T. 33 1999 Commensurability classes of hyperbolic Coxeter groups. Zbl 1033.20037 Johnson, N. W.; Kellerhals, R.; Ratcliffe, J. G.; Tschantz, S. T. 20 2002 On the growth of cocompact hyperbolic Coxeter groups. Zbl 1242.20049 Kellerhals, Ruth; Perren, Geneviève 17 2011 Quaternions and some global properties of hyperbolic 5-manifolds. Zbl 1054.57019 Kellerhals, Ruth 16 2003 On the volumes of hyperbolic 5-orthoschemes and the trilogarithm. Zbl 0771.51011 Kellerhals, Ruth 15 1992 Ball packings in spaces of constant curvature and the simplicial density function. Zbl 0884.52017 Kellerhals, Ruth 14 1998 On Schläfli’s reduction formula. Zbl 0717.52011 Kellerhals, Ruth 13 1991 Volumes of cusped hyperbolic manifolds. Zbl 0909.57005 Kellerhals, Ruth 11 1998 Volumes in hyperbolic 5-space. Zbl 0834.51008 Kellerhals, R. 11 1995 Hyperbolic orbifolds of minimal volume. Zbl 1307.57001 Kellerhals, Ruth 11 2014 The Gauss-Bonnet formula for hyperbolic manifolds of finite volume. Zbl 0993.53023 Kellerhals, Ruth; Zehrt, Thomas 8 2001 Regular simplices and lower volume bounds for hyperbolic \(n\)-manifolds. Zbl 0874.52002 Kellerhals, Ruth 7 1995 The FCC lattice and the cusped hyperbolic 4-orbifold of minimal volume: In memoriam H. S. M. Coxeter. Zbl 1131.52010 Hild, Thierry; Kellerhals, Ruth 7 2007 Cofinite hyperbolic Coxeter groups, minimal growth rate and Pisot numbers. Zbl 1281.20044 Kellerhals, Ruth 7 2013 The minimal growth rate of cocompact Coxeter groups in hyperbolic 3-space. Zbl 1302.20045 Kellerhals, Ruth; Kolpakov, Alexander 7 2014 Commensurability of hyperbolic Coxeter groups: theory and computation. Zbl 1396.51005 Guglielmetti, Rafael; Jacquemet, Matthieu; Kellerhals, Ruth 5 2017 On commensurable hyperbolic Coxeter groups. Zbl 1378.51011 Guglielmetti, Rafael; Jacquemet, Matthieu; Kellerhals, Ruth 5 2016 The growth rates of ideal Coxeter polyhedra in hyperbolic 3-space. Zbl 1494.51005 Nonaka, Jun; Kellerhals, Ruth 4 2017 Shape and size through hyperbolic eyes. Zbl 0849.51009 Kellerhals, Ruth 4 1995 Collars in PSL\((2,{\mathbf H})\). Zbl 1020.53022 Kellerhals, Ruth 4 2001 On the structure of hyperbolic manifolds. Zbl 1073.57013 Kellerhals, Ruth 3 2004 Scissors congruence, the golden ratio and volumes in hyperbolic 5-space. Zbl 1252.51008 Kellerhals, Ruth 3 2012 The three smallest compact arithmetic hyperbolic 5-orbifolds. Zbl 1266.22014 Emery, Vincent; Kellerhals, Ruth 3 2013 On minimal covolume hyperbolic lattices. Zbl 1387.57053 Kellerhals, Ruth 2 2017 On volumes of non-Euclidean polytopes. Zbl 0810.52008 Kellerhals, Ruth 1 1994 Old and new about Hilbert’s third problem. Zbl 0999.51007 Kellerhals, Ruth 1 2000 Hyperbolic Coxeter groups and minimal growth rates in dimensions four and five. Zbl 1522.20150 Bredon, Naomi; Kellerhals, Ruth 1 2022 The non-arithmetic cusped hyperbolic 3-orbifold of minimal volume. Zbl 1514.51007 Drewitz, Simon T.; Kellerhals, Ruth 1 2023 Salem numbers, spectral radii and growth rates of hyperbolic Coxeter groups. Zbl 1517.20064 Kellerhals, R.; Liechti, L. 1 2023 A polyhedral approach to the arithmetic and geometry of hyperbolic link complements. Zbl 1528.57004 Kellerhals, Ruth 1 2023 Small-volume hyperbolic manifolds constructed from Coxeter groups. Zbl 07738381 Conder, Marston; Kellerhals, Ruth 1 2022 Ideal uniform polyhedra in \(\mathbb{H}^n\) and covolumes of higher dimensional modular groups. Zbl 1460.51011 Kellerhals, Ruth 1 2021 The non-arithmetic cusped hyperbolic 3-orbifold of minimal volume. Zbl 1514.51007 Drewitz, Simon T.; Kellerhals, Ruth 1 2023 Salem numbers, spectral radii and growth rates of hyperbolic Coxeter groups. Zbl 1517.20064 Kellerhals, R.; Liechti, L. 1 2023 A polyhedral approach to the arithmetic and geometry of hyperbolic link complements. Zbl 1528.57004 Kellerhals, Ruth 1 2023 Hyperbolic Coxeter groups and minimal growth rates in dimensions four and five. Zbl 1522.20150 Bredon, Naomi; Kellerhals, Ruth 1 2022 Small-volume hyperbolic manifolds constructed from Coxeter groups. Zbl 07738381 Conder, Marston; Kellerhals, Ruth 1 2022 Ideal uniform polyhedra in \(\mathbb{H}^n\) and covolumes of higher dimensional modular groups. Zbl 1460.51011 Kellerhals, Ruth 1 2021 Commensurability of hyperbolic Coxeter groups: theory and computation. Zbl 1396.51005 Guglielmetti, Rafael; Jacquemet, Matthieu; Kellerhals, Ruth 5 2017 The growth rates of ideal Coxeter polyhedra in hyperbolic 3-space. Zbl 1494.51005 Nonaka, Jun; Kellerhals, Ruth 4 2017 On minimal covolume hyperbolic lattices. Zbl 1387.57053 Kellerhals, Ruth 2 2017 On commensurable hyperbolic Coxeter groups. Zbl 1378.51011 Guglielmetti, Rafael; Jacquemet, Matthieu; Kellerhals, Ruth 5 2016 Hyperbolic orbifolds of minimal volume. Zbl 1307.57001 Kellerhals, Ruth 11 2014 The minimal growth rate of cocompact Coxeter groups in hyperbolic 3-space. Zbl 1302.20045 Kellerhals, Ruth; Kolpakov, Alexander 7 2014 Cofinite hyperbolic Coxeter groups, minimal growth rate and Pisot numbers. Zbl 1281.20044 Kellerhals, Ruth 7 2013 The three smallest compact arithmetic hyperbolic 5-orbifolds. Zbl 1266.22014 Emery, Vincent; Kellerhals, Ruth 3 2013 Scissors congruence, the golden ratio and volumes in hyperbolic 5-space. Zbl 1252.51008 Kellerhals, Ruth 3 2012 On the growth of cocompact hyperbolic Coxeter groups. Zbl 1242.20049 Kellerhals, Ruth; Perren, Geneviève 17 2011 The FCC lattice and the cusped hyperbolic 4-orbifold of minimal volume: In memoriam H. S. M. Coxeter. Zbl 1131.52010 Hild, Thierry; Kellerhals, Ruth 7 2007 On the structure of hyperbolic manifolds. Zbl 1073.57013 Kellerhals, Ruth 3 2004 Quaternions and some global properties of hyperbolic 5-manifolds. Zbl 1054.57019 Kellerhals, Ruth 16 2003 Commensurability classes of hyperbolic Coxeter groups. Zbl 1033.20037 Johnson, N. W.; Kellerhals, R.; Ratcliffe, J. G.; Tschantz, S. T. 20 2002 The Gauss-Bonnet formula for hyperbolic manifolds of finite volume. Zbl 0993.53023 Kellerhals, Ruth; Zehrt, Thomas 8 2001 Collars in PSL\((2,{\mathbf H})\). Zbl 1020.53022 Kellerhals, Ruth 4 2001 Old and new about Hilbert’s third problem. Zbl 0999.51007 Kellerhals, Ruth 1 2000 The size of hyperbolic Coxeter simplex. Zbl 0953.20041 Johnson, N. W.; Kellerhals, R.; Ratcliffe, J. G.; Tschantz, S. T. 33 1999 Ball packings in spaces of constant curvature and the simplicial density function. Zbl 0884.52017 Kellerhals, Ruth 14 1998 Volumes of cusped hyperbolic manifolds. Zbl 0909.57005 Kellerhals, Ruth 11 1998 Volumes in hyperbolic 5-space. Zbl 0834.51008 Kellerhals, R. 11 1995 Regular simplices and lower volume bounds for hyperbolic \(n\)-manifolds. Zbl 0874.52002 Kellerhals, Ruth 7 1995 Shape and size through hyperbolic eyes. Zbl 0849.51009 Kellerhals, Ruth 4 1995 On volumes of non-Euclidean polytopes. Zbl 0810.52008 Kellerhals, Ruth 1 1994 On the volumes of hyperbolic 5-orthoschemes and the trilogarithm. Zbl 0771.51011 Kellerhals, Ruth 15 1992 Structural properties of polylogarithms. Zbl 0745.33009 65 1991 On Schläfli’s reduction formula. Zbl 0717.52011 Kellerhals, Ruth 13 1991 On the volume of hyperbolic polyhedra. Zbl 0664.51012 Kellerhals, Ruth 59 1989 all cited Publications top 5 cited Publications all top 5 Cited by 160 Authors 22 Kellerhals, Ruth 21 Szirmai, Jenó 7 Kolpakov, Alexander A. 6 Mednykh, Aleksandr Dmitrievich 6 Tschantz, Steven Thomas 5 Parkkonen, Jouni 5 Paulin, Frédéric 5 Ratcliffe, John G. 4 Felikson, Anna Aleksandrovna 4 Jacquemet, Matthieu 4 Kozma, Robert Thijs 4 Riolo, Stefano 4 Tumarkin, Pavel 4 Vesnin, Andrei Yu. 3 Abrosimov, Nikolaĭ Vladimirovich 3 Bredon, Naomi 3 Emery, Vincent 3 Gongopadhyay, Krishnendu 3 Merlin, Vincent R. 3 Molnár, Emil 3 Reid, Alan W. 3 Zehrt, Thomas 2 Belolipetsky, Mikhail V. 2 Conder, Marston Donald Edward 2 Dotti, Edoardo 2 Drewitz, Simon T. 2 Duhr, Claude 2 Everitt, Brent 2 Gangl, Herbert 2 Guglielmetti, Rafael 2 Horváth, Ákos G. 2 Johnson, Norman Woodason 2 Komori, Yohei 2 Lafont, Jean-François 2 Miller, Nicholas 2 Mukherjee, Abhishek 2 Murakami, Jun 2 Nicolai, Hermann 2 Parker, John R. 2 Petronio, Carlo 2 Romakina, Lyudmila Nikolaevna 2 Talambutsa, Alexey L. 2 Umemoto, Yuriko 2 Vergu, Cristian 2 Yukita, Tomoshige 1 Adams, Colin C. 1 Adeboye, Ilesanmi 1 Albuquerque, Rui P. 1 Allcock, Daniel Jonathan 1 Arenas-Carmona, Luis 1 Atkinson, Christopher K. 1 Baker, Mark D. 1 Battista, Ludovico 1 Bhattacharya, Abhijit 1 Bourjaily, Jacob L. 1 Bridgeman, Martin J. 1 Bucher, Michelle 1 Burcroff, Amanda 1 Calderon, Aaron 1 Chapovalov, Maxim 1 Charlton, Steven 1 Chen, Hao 1 Cho, Yunhi 1 Ciesielska, Danuta 1 Ciesielski, Krzysztof 1 Czajkowski, Jan 1 Davydychev, Andrei I. 1 Deblois, Jason 1 Derevnin, D. A. 1 Diss, Mostapha 1 Dostert, Maria 1 Dubey, Kamlesh Kumar 1 Edmonds, Allan L. 1 El Naschie, Mohamed Saladin 1 Eper, Miklós 1 Erlandsson, Viveka 1 Feingold, Alex Jay 1 Fisher, David Michael 1 Fleig, Philipp 1 Fominykh, Evgeny Anatol’evich 1 Fujii, Michihiko 1 Gardi, Einan 1 Gekhtman, Ilya 1 Gendulphe, Matthieu 1 Gibbons, Gary William 1 Godoy Molina, Mauricio 1 Gon, Yasuro 1 Goncharov, Alexander Borisovich 1 Heckman, Gert 1 Hild, Thierry 1 Hockman, Meira 1 Howlett, Robert B. 1 Kader, Serkan 1 Kaiser, Mark J. 1 Kalelkar, Tejas 1 Kato, Fumiharu 1 Kim, Hyuk 1 Kim, Sungwoon 1 Kleinschmidt, Axel 1 Koch, Sophie ...and 60 more Authors all top 5 Cited in 91 Serials 12 Geometriae Dedicata 9 Algebraic & Geometric Topology 6 European Journal of Combinatorics 5 Proceedings of the American Mathematical Society 5 Discrete & Computational Geometry 5 Aequationes Mathematicae 4 Israel Journal of Mathematics 4 Siberian Mathematical Journal 4 Transactions of the American Mathematical Society 4 Journal of Mathematical Sciences (New York) 3 Bulletin of the London Mathematical Society 3 Canadian Mathematical Bulletin 3 Transformation Groups 3 Journal of High Energy Physics 2 Discrete Mathematics 2 Mathematical Notes 2 The Mathematical Intelligencer 2 Advances in Mathematics 2 Journal of Algebra 2 Matematički Vesnik 2 Mathematische Annalen 2 Osaka Journal of Mathematics 2 Proceedings of the Japan Academy. Series A 2 Acta Mathematica Hungarica 2 Journal of the American Mathematical Society 2 Linear Algebra and its Applications 2 Indagationes Mathematicae. New Series 2 Geometry & Topology 2 Advances in Geometry 2 Computational Methods and Function Theory 2 Proceedings of the Steklov Institute of Mathematics 1 Journal of the Franklin Institute 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nuclear Physics. B 1 Arkiv för Matematik 1 Chaos, Solitons and Fractals 1 Beiträge zur Algebra und Geometrie 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Canadian Journal of Mathematics 1 Glasgow Mathematical Journal 1 Journal of Combinatorial Theory. Series A 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Journal of Mathematical Economics 1 Journal of Number Theory 1 Kodai Mathematical Journal 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Quaestiones Mathematicae 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 Theory and Decision 1 Tokyo Journal of Mathematics 1 Topology and its Applications 1 Mathematical Social Sciences 1 Annals of Global Analysis and Geometry 1 Journal of Theoretical Probability 1 Forum Mathematicum 1 Geometric and Functional Analysis. GAFA 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Knot Theory and its Ramifications 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Experimental Mathematics 1 Journal de Théorie des Nombres de Bordeaux 1 Filomat 1 The Electronic Journal of Combinatorics 1 Doklady Mathematics 1 Conformal Geometry and Dynamics 1 Novi Sad Journal of Mathematics 1 Journal for Geometry and Graphics 1 Matematicheskie Trudy 1 LMS Journal of Computation and Mathematics 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Nonlinear Mathematical Physics 1 Journal of the Australian Mathematical Society 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 International Journal of Number Theory 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Contributions to Discrete Mathematics 1 Groups, Geometry, and Dynamics 1 Ars Mathematica Contemporanea 1 Acta Universitatis Sapientiae. Mathematica 1 Mathematics 1 Transactions of the American Mathematical Society. Series B all top 5 Cited in 36 Fields 60 Geometry (51-XX) 55 Convex and discrete geometry (52-XX) 54 Group theory and generalizations (20-XX) 46 Manifolds and cell complexes (57-XX) 27 Number theory (11-XX) 19 Topological groups, Lie groups (22-XX) 15 Differential geometry (53-XX) 5 Combinatorics (05-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Functions of a complex variable (30-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Quantum theory (81-XX) 3 Algebraic geometry (14-XX) 3 Nonassociative rings and algebras (17-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 History and biography (01-XX) 2 Commutative algebra (13-XX) 2 Associative rings and algebras (16-XX) 2 \(K\)-theory (19-XX) 2 Relativity and gravitational theory (83-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-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.