Edit Profile (opens in new tab) Ash, Avner Co-Author Distance Author ID: ash.avner Published as: Ash, Avner; Ash, A. External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 85 Publications since 1975, including 8 Books Reviewing Activity: 3 Reviews Co-Authors: 38 Co-Authors with 51 Joint Publications 589 Co-Co-Authors all top 5 Co-Authors 27 single-authored 12 McConnell, Mark 8 Doud, Darrin 8 Gunnells, Paul E. 6 Pollack, David 4 Stevens, Glenn 3 Ginzburg, David 3 Sinnott, Warren M. 3 Yasaki, Dan 2 Friedberg, Solomon 2 McDonald, Patrick 2 Mumford, David Bryant 2 Rapoport, Michael 2 Tai, Yungsheng 1 Allison, Gerald 1 Bate, Brandon 1 Beltis, Laura 1 Borel, Armand 1 Brakenhoff, Jos 1 Conrad, Eric 1 Grayson, Daniel Richard 1 Green, Philip 1 Hughes-Hallett, Deborah 1 Kasman, Reva 1 Kenney, Margaret 1 Manjrekar, Rajesh 1 Mantini, Lisa A. 1 Mazur, Barry 1 McCallum, William G. 1 Pinch, Richard G. E. 1 Putman, Andrew 1 Rallis, Stephen James 1 Rudolph, Lee Norman 1 Sam, Steven V. 1 Scholze, Peter 1 Soares, Dayna 1 Taylor, Richard 1 Teitelbaum, Jeremy T. 1 Tiep Pham Huu 1 Zarrabi, Theodore 1 Zia, Lee all top 5 Serials 8 Journal of Algebra 7 Duke Mathematical Journal 7 Journal of Number Theory 7 Experimental Mathematics 6 Mathematische Annalen 5 Proceedings of the American Mathematical Society 3 Inventiones Mathematicae 3 International Journal of Number Theory 2 Communications in Algebra 2 Journal of Mathematical Physics 2 Mathematics of Computation 2 Bulletin of the London Mathematical Society 2 Canadian Journal of Mathematics 1 American Mathematical Monthly 1 Israel Journal of Mathematics 1 Acta Arithmetica 1 American Journal of Mathematics 1 Collectanea Mathematica 1 Compositio Mathematica 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Topology 1 Transactions of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Linear Algebra and its Applications 1 Annales Mathématiques Blaise Pascal 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Journal of the Institute of Mathematics of Jussieu 1 Bulletin of the American Mathematical Society 1 CBMS Issues in Mathematics Education 1 Annales Mathématiques du Québec 1 Cambridge Mathematical Library all top 5 Fields 71 Number theory (11-XX) 20 Group theory and generalizations (20-XX) 8 Topological groups, Lie groups (22-XX) 7 Manifolds and cell complexes (57-XX) 5 Algebraic geometry (14-XX) 3 General and overarching topics; collections (00-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Convex and discrete geometry (52-XX) 2 Algebraic topology (55-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Relativity and gravitational theory (83-XX) 2 Mathematics education (97-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 \(K\)-theory (19-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 73 Publications have been cited 945 times in 586 Documents Cited by ▼ Year ▼ Smooth compactification of locally symmetric varieties. Zbl 0334.14007Ash, A.; Mumford, D.; Rapoport, M.; Tai, Y. 189 1975 Modular forms in characteristic \(\ell\) and special values of their \(L\)-functions. Zbl 0618.10026Ash, Avner; Stevens, Glenn 62 1986 Smooth compactifications of locally symmetric varieties. With the collaboration of Peter Scholze. 2nd ed. Zbl 1209.14001Ash, Avner; Mumford, David; Rapoport, Michael; Tai, Yung-Sheng 46 2010 Cohomology of arithmetic groups and congruences between systems of Hecke eigenvalues. Zbl 0596.10026Ash, Avner; Stevens, Glenn 40 1986 The modular symbol and continued fractions in higher dimensions. Zbl 0426.10023Ash, Avner; Rudolph, Lee 36 1979 Galois representations attached to mod \(p\) cohomology of \(GL(n,\mathbb{Z})\). Zbl 0774.11024Ash, Avner 35 1992 \(p\)-adic deformations of cohomology classes of subgroups of \(\text{GL}(N,\mathbb{Z})\). Zbl 0866.20038Ash, Avner; Stevens, Glenn 33 1997 Galois representations with conjectural connections to arithmetic cohomology. Zbl 1023.11025Ash, Avner; Doud, Darrin; Pollack, David 33 2002 An analogue of Serre’s conjecture for Galois representations and Hecke eigenclasses in the \(\operatorname{mod} p\) cohomology of \(\text{GL}(n,\mathbb{Z})\). Zbl 1015.11018Ash, Avner; Sinnott, Warren 27 2000 Small-dimensional classifying spaces for arithmetic subgroups of general linear groups. Zbl 0542.22011Ash, Avner 26 1984 Deformation retracts with lowest possible dimension of arithmetic quotients of self-adjoint homogeneous cones. Zbl 0343.20026Ash, Avner 25 1977 Cohomology of congruence subgroups of \(\text{SL}_4(\mathbb Z)\). Zbl 1006.11026Ash, Avner; Gunnells, Paul E.; McConnell, Mark 22 2002 Vanishing periods of cusp forms over modular symbols. Zbl 0786.11028Ash, Avner; Ginzburg, David; Rallis, Steven 21 1993 Experimental indications of three-dimensional Galois representations from the cohomology of \(\text{SL}(3,\mathbb Z)\). Zbl 0780.11029Ash, Avner; McConnell, Mark 19 1992 Unstable cohomology of \(SL(n,O)\). Zbl 0807.11030Ash, Avner 19 1994 Computations of cuspidal cohomology of congruence subgroups of SL(3,\({\mathbb{Z}})\). Zbl 0552.10015Ash, Avner; Grayson, Daniel; Green, Philip 18 1984 \(p\)-adic \(L\)-functions for \(\text{GL}(2n)\). Zbl 0807.11029Ash, Avner; Ginzburg, David 18 1994 Cohomology of congruence subgroups of \(\text{SL}(4,\mathbb Z)\). II. Zbl 1213.11113Ash, Avner; Gunnells, Paul E.; McConnell, Mark 15 2008 Cohomology of congruence subgroups of \(SL(n,Z)\). Zbl 0438.20035Ash, Avner 15 1980 An \(\widehat{A_4}\) extension of \({\mathbb{Q}}\) attached to a non-selfdual automorphic form on \(GL(3)\). Zbl 0713.11036Ash, Avner; Pinch, Richard; Taylor, Richard 13 1991 Cohomology of congruence subgroups of \(\text{SL}_4(\mathbb Z)\). III. Zbl 1222.11069Ash, Avner; Gunnells, Paul E.; McConnell, Mark 13 2010 Non-square-integrable cohomology of arithmetic groups. Zbl 0446.20023Ash, Avner 12 1980 Torsion in the cohomology of congruence subgroups of \(\text{SL}(4, \mathbb Z)\) and Galois representations. Zbl 1261.11043Ash, Avner; Gunnells, Paul E.; McConnell, Mark 11 2011 Resolutions of the Steinberg module for \(\mathrm{GL}(n)\). Zbl 1294.11077Ash, Avner; Gunnells, Paul E.; McConnell, Mark 10 2012 On eutactic forms. Zbl 0339.52005Ash, Avner 10 1977 A note on minimal modular symbols. Zbl 0589.20033Ash, Avner 9 1986 Galois representations, Hecke operators, and the \(\text{mod-}p\) cohomology of \(\text{GL} (3,\mathbb{Z})\) with twisted coefficients. Zbl 0923.11083Allison, Gerald; Ash, Avner; Conrad, Eric 9 1998 Parabolic cohomology of arithmetic subgroups of SL(2,\({\mathbb{Z}})\) with coefficients in the field of rational functions on the Riemann sphere. Zbl 0664.10014Ash, Avner 8 1989 Farrell cohomology of GL(n,\({\mathbb{Z}})\). Zbl 0693.20041Ash, Avner 8 1989 On the existence of eutactic forms. Zbl 0411.52007Ash, Avner 8 1980 Equality of polynomial and field discriminants. Zbl 1166.11035Ash, Avner; Brakenhoff, Jos; Zarrabi, Theodore 8 2007 Rigidity of \(p\)-adic cohomology classes of congruence subgroups of \(\text{GL}(n, \mathbb Z)\). Zbl 1206.11067Ash, Avner; Pollack, David; Stevens, Glenn 8 2008 Cohomology at infinity and the well-rounded retract for general linear groups. Zbl 0903.11016Ash, Avner; McConnell, Mark 8 1997 Reducible Galois representations and the homology of \(\mathrm{GL}(3, \mathbb{Z})\). Zbl 1323.11032Ash, Avner; Doud, Darrin 7 2014 Homological vanishing for the Steinberg representation. Zbl 1458.20042Ash, Avner; Putman, Andrew; Sam, Steven V 6 2018 Direct sums of mod \(p\) characters of \(\mathrm{Gal}(\overline{\mathbb Q}/\mathbb Q)\) and the homology of \(\mathrm{GL}(n,\mathbb Z)\). Zbl 1337.11035Ash, Avner 5 2013 Non-minimal modular symbols for GL(n). Zbl 0671.22005Ash, Avner 5 1988 Modular representations of \(\text{GL}(3,\mathbb{F}_p)\), symmetric squares, and mod-\(p\) cohomology of \(\text{GL}(3,\mathbb{Z})\). Zbl 0949.11032Ash, Avner; Pham Huu Tiep 5 1999 Moment problems and the causal set approach to quantum gravity. Zbl 1062.83032Ash, Avner; McDonald, Patrick 5 2003 Galois representations and Hecke operators associated with the mod \(p\) cohomology of \(\text{GL}(1,\mathbb{Z})\) and \(\text{GL}(2,\mathbb{Z})\). Zbl 1057.11504Ash, Avner 5 1997 Galois representations and cohomology of \(\mathrm{GL}(n,\mathbb{Z})\). Zbl 0754.11016Ash, Avner 4 1992 Doubly cuspidal cohomology for principal congruence subgroups of \(\text{GL}(3,\mathbb Z)\). Zbl 0767.11027Ash, Avner; McConnell, Mark 4 1992 Cohomology of subgroups of finite index of SL (3,Z) and SL (4,Z). Zbl 0349.22009Ash, Avner 4 1977 On the top betti number of subgroups of \(SL(n,Z)\). Zbl 0505.20035Ash, Avner 4 1983 \(\mathrm{SL}_3(\mathbb F_2)\)-extensions of \(\mathbb Q\) and arithmetic cohomology modulo 2. Zbl 1094.11019Ash, Avner; Pollack, David; Soares, Dayna 4 2004 Relaxation of strict parity for reducible Galois representations attached to the homology of \(\mathrm{GL}(3,\mathbb{Z})\). Zbl 1383.11072Ash, Avner; Doud, Darrin 4 2016 Everywhere unramified automorphic cohomology for \(\mathrm{SL}_3(\mathbb Z)\). Zbl 1154.11019Ash, Avner; Pollack, David 4 2008 Comparison of Steinberg modules for a field and a subfield. Zbl 1483.20082Ash, Avner 3 2018 Mod \(p\) cohomology of \(\text{SL}(n,\mathbb Z)\). Zbl 0760.55004Ash, Avner; McConnell, Mark 3 1992 Frequencies of successive pairs of prime residues. Zbl 1269.11096Ash, Avner; Beltis, Laura; Gross, Robert; Sinnott, Warren 3 2011 Monomial Galois representations and Hecke eigenclasses in the mod-\(p\) cohomology of \(\text{GL}((p-1),\mathbb{Z})\). Zbl 0955.11013Ash, Avner 3 1999 Random partial orders, posts, and the causal set approach to discrete quantum gravity. Zbl 1110.83012Ash, Avner; McDonald, Patrick 3 2005 Hecke \(L\)-functions and the distribution of totally positive integers. Zbl 1230.11110Ash, Avner; Friedberg, Solomon 3 2007 Mod 2 homology for \(\mathrm{GL}(4)\) and Galois representations. Zbl 1366.11077Ash, Avner; Gunnells, Paul E.; McConnell, Mark 3 2015 Generalized modular symbols. Zbl 0719.11033Ash, Avner; Borel, Armand 2 1990 Galois representations and Hecke operators associated with the \(\text{mod-}p\) cohomology of \(GL(m(p-1),\mathbb{Z})\). Zbl 0905.11027Ash, Avner; Manjrekar, Rajesh 2 1998 Highly reducible Galois representations attached to the homology of \(\mathrm{GL}(n,\mathbb{Z})\). Zbl 1325.11050Ash, Avner; Doud, Darrin 2 2015 A constructive approach to \(p\)-adic deformations of arithmetic homology. Zbl 1242.11037Ash, Avner 2 2011 Steinberg homology, modular forms, and real quadratic fields. Zbl 1484.11126Ash, Avner; Yasaki, Dan 2 2021 Cohomology with twisted one-dimensional coefficients for congruence subgroups of \(\operatorname{SL}_4(\mathbb{Z})\) and Galois representations. Zbl 1445.11043Ash, Avner; Gunnells, Paul E.; McConnell, Mark 1 2020 On the growth of torsion in the cohomology of arithmetic groups. Zbl 1464.11054Ash, A.; Gunnells, P. E.; Mcconnell, M.; Yasaki, D. 1 2020 Hecke operators and the stable homology of \(\text{GL}(n)\). Zbl 1251.11039Ash, Avner 1 2012 Reducible Galois representations and arithmetic homology for \(\operatorname{GL}(4)\). Zbl 1446.11101Ash, Avner; Doud, Darrin 1 2018 Elliptic tales. Curves, counting, and number theory. Zbl 1256.11036Ash, Avner; Gross, Robert 1 2012 Frequencies of successive tuples of Frobenius classes. Zbl 1198.11081Ash, Avner; Bate, Brandon; Gross, Robert 1 2009 Smith theory and Hecke operators. Zbl 1045.11034Ash, Avner 1 2003 Parity of mod \(p\) Betti numbers. Zbl 1006.11025Ash, Avner 1 1999 Generalized non-Abelian reciprocity laws: A context for Wiles’ proof. Zbl 1027.11086Ash, Avner; Gross, Robert 1 2000 Generalized modular symbols and relative Lie algebra cohomology. Zbl 0865.11044Ash, Avner; Ginzburg, David 1 1996 Non-vanishing of alternants. Zbl 1086.15005Ash, Avner 1 2005 Fearless symmetry. Exposing the hidden patterns of numbers. With a foreword by Barry Mazur. Zbl 1111.11001Ash, Avner; Gross, Robert 1 2006 Galois representations attached to tensor products of arithmetic cohomology. Zbl 1346.11035Ash, Avner; Doud, Darrin 1 2016 Fearless symmetry. Exposing the hidden patterns of numbers. With a new foreword by the authors. New paperback edition. Zbl 1144.11001Ash, Avner; Gross, Robert 1 2008 Steinberg homology, modular forms, and real quadratic fields. Zbl 1484.11126Ash, Avner; Yasaki, Dan 2 2021 Cohomology with twisted one-dimensional coefficients for congruence subgroups of \(\operatorname{SL}_4(\mathbb{Z})\) and Galois representations. Zbl 1445.11043Ash, Avner; Gunnells, Paul E.; McConnell, Mark 1 2020 On the growth of torsion in the cohomology of arithmetic groups. Zbl 1464.11054Ash, A.; Gunnells, P. E.; Mcconnell, M.; Yasaki, D. 1 2020 Homological vanishing for the Steinberg representation. Zbl 1458.20042Ash, Avner; Putman, Andrew; Sam, Steven V 6 2018 Comparison of Steinberg modules for a field and a subfield. Zbl 1483.20082Ash, Avner 3 2018 Reducible Galois representations and arithmetic homology for \(\operatorname{GL}(4)\). Zbl 1446.11101Ash, Avner; Doud, Darrin 1 2018 Relaxation of strict parity for reducible Galois representations attached to the homology of \(\mathrm{GL}(3,\mathbb{Z})\). Zbl 1383.11072Ash, Avner; Doud, Darrin 4 2016 Galois representations attached to tensor products of arithmetic cohomology. Zbl 1346.11035Ash, Avner; Doud, Darrin 1 2016 Mod 2 homology for \(\mathrm{GL}(4)\) and Galois representations. Zbl 1366.11077Ash, Avner; Gunnells, Paul E.; McConnell, Mark 3 2015 Highly reducible Galois representations attached to the homology of \(\mathrm{GL}(n,\mathbb{Z})\). Zbl 1325.11050Ash, Avner; Doud, Darrin 2 2015 Reducible Galois representations and the homology of \(\mathrm{GL}(3, \mathbb{Z})\). Zbl 1323.11032Ash, Avner; Doud, Darrin 7 2014 Direct sums of mod \(p\) characters of \(\mathrm{Gal}(\overline{\mathbb Q}/\mathbb Q)\) and the homology of \(\mathrm{GL}(n,\mathbb Z)\). Zbl 1337.11035Ash, Avner 5 2013 Resolutions of the Steinberg module for \(\mathrm{GL}(n)\). Zbl 1294.11077Ash, Avner; Gunnells, Paul E.; McConnell, Mark 10 2012 Hecke operators and the stable homology of \(\text{GL}(n)\). Zbl 1251.11039Ash, Avner 1 2012 Elliptic tales. Curves, counting, and number theory. Zbl 1256.11036Ash, Avner; Gross, Robert 1 2012 Torsion in the cohomology of congruence subgroups of \(\text{SL}(4, \mathbb Z)\) and Galois representations. Zbl 1261.11043Ash, Avner; Gunnells, Paul E.; McConnell, Mark 11 2011 Frequencies of successive pairs of prime residues. Zbl 1269.11096Ash, Avner; Beltis, Laura; Gross, Robert; Sinnott, Warren 3 2011 A constructive approach to \(p\)-adic deformations of arithmetic homology. Zbl 1242.11037Ash, Avner 2 2011 Smooth compactifications of locally symmetric varieties. With the collaboration of Peter Scholze. 2nd ed. Zbl 1209.14001Ash, Avner; Mumford, David; Rapoport, Michael; Tai, Yung-Sheng 46 2010 Cohomology of congruence subgroups of \(\text{SL}_4(\mathbb Z)\). III. Zbl 1222.11069Ash, Avner; Gunnells, Paul E.; McConnell, Mark 13 2010 Frequencies of successive tuples of Frobenius classes. Zbl 1198.11081Ash, Avner; Bate, Brandon; Gross, Robert 1 2009 Cohomology of congruence subgroups of \(\text{SL}(4,\mathbb Z)\). II. Zbl 1213.11113Ash, Avner; Gunnells, Paul E.; McConnell, Mark 15 2008 Rigidity of \(p\)-adic cohomology classes of congruence subgroups of \(\text{GL}(n, \mathbb Z)\). Zbl 1206.11067Ash, Avner; Pollack, David; Stevens, Glenn 8 2008 Everywhere unramified automorphic cohomology for \(\mathrm{SL}_3(\mathbb Z)\). Zbl 1154.11019Ash, Avner; Pollack, David 4 2008 Fearless symmetry. Exposing the hidden patterns of numbers. With a new foreword by the authors. New paperback edition. Zbl 1144.11001Ash, Avner; Gross, Robert 1 2008 Equality of polynomial and field discriminants. Zbl 1166.11035Ash, Avner; Brakenhoff, Jos; Zarrabi, Theodore 8 2007 Hecke \(L\)-functions and the distribution of totally positive integers. Zbl 1230.11110Ash, Avner; Friedberg, Solomon 3 2007 Fearless symmetry. Exposing the hidden patterns of numbers. With a foreword by Barry Mazur. Zbl 1111.11001Ash, Avner; Gross, Robert 1 2006 Random partial orders, posts, and the causal set approach to discrete quantum gravity. Zbl 1110.83012Ash, Avner; McDonald, Patrick 3 2005 Non-vanishing of alternants. Zbl 1086.15005Ash, Avner 1 2005 \(\mathrm{SL}_3(\mathbb F_2)\)-extensions of \(\mathbb Q\) and arithmetic cohomology modulo 2. Zbl 1094.11019Ash, Avner; Pollack, David; Soares, Dayna 4 2004 Moment problems and the causal set approach to quantum gravity. Zbl 1062.83032Ash, Avner; McDonald, Patrick 5 2003 Smith theory and Hecke operators. Zbl 1045.11034Ash, Avner 1 2003 Galois representations with conjectural connections to arithmetic cohomology. Zbl 1023.11025Ash, Avner; Doud, Darrin; Pollack, David 33 2002 Cohomology of congruence subgroups of \(\text{SL}_4(\mathbb Z)\). Zbl 1006.11026Ash, Avner; Gunnells, Paul E.; McConnell, Mark 22 2002 An analogue of Serre’s conjecture for Galois representations and Hecke eigenclasses in the \(\operatorname{mod} p\) cohomology of \(\text{GL}(n,\mathbb{Z})\). Zbl 1015.11018Ash, Avner; Sinnott, Warren 27 2000 Generalized non-Abelian reciprocity laws: A context for Wiles’ proof. Zbl 1027.11086Ash, Avner; Gross, Robert 1 2000 Modular representations of \(\text{GL}(3,\mathbb{F}_p)\), symmetric squares, and mod-\(p\) cohomology of \(\text{GL}(3,\mathbb{Z})\). Zbl 0949.11032Ash, Avner; Pham Huu Tiep 5 1999 Monomial Galois representations and Hecke eigenclasses in the mod-\(p\) cohomology of \(\text{GL}((p-1),\mathbb{Z})\). Zbl 0955.11013Ash, Avner 3 1999 Parity of mod \(p\) Betti numbers. Zbl 1006.11025Ash, Avner 1 1999 Galois representations, Hecke operators, and the \(\text{mod-}p\) cohomology of \(\text{GL} (3,\mathbb{Z})\) with twisted coefficients. Zbl 0923.11083Allison, Gerald; Ash, Avner; Conrad, Eric 9 1998 Galois representations and Hecke operators associated with the \(\text{mod-}p\) cohomology of \(GL(m(p-1),\mathbb{Z})\). Zbl 0905.11027Ash, Avner; Manjrekar, Rajesh 2 1998 \(p\)-adic deformations of cohomology classes of subgroups of \(\text{GL}(N,\mathbb{Z})\). Zbl 0866.20038Ash, Avner; Stevens, Glenn 33 1997 Cohomology at infinity and the well-rounded retract for general linear groups. Zbl 0903.11016Ash, Avner; McConnell, Mark 8 1997 Galois representations and Hecke operators associated with the mod \(p\) cohomology of \(\text{GL}(1,\mathbb{Z})\) and \(\text{GL}(2,\mathbb{Z})\). Zbl 1057.11504Ash, Avner 5 1997 Generalized modular symbols and relative Lie algebra cohomology. Zbl 0865.11044Ash, Avner; Ginzburg, David 1 1996 Unstable cohomology of \(SL(n,O)\). Zbl 0807.11030Ash, Avner 19 1994 \(p\)-adic \(L\)-functions for \(\text{GL}(2n)\). Zbl 0807.11029Ash, Avner; Ginzburg, David 18 1994 Vanishing periods of cusp forms over modular symbols. Zbl 0786.11028Ash, Avner; Ginzburg, David; Rallis, Steven 21 1993 Galois representations attached to mod \(p\) cohomology of \(GL(n,\mathbb{Z})\). Zbl 0774.11024Ash, Avner 35 1992 Experimental indications of three-dimensional Galois representations from the cohomology of \(\text{SL}(3,\mathbb Z)\). Zbl 0780.11029Ash, Avner; McConnell, Mark 19 1992 Galois representations and cohomology of \(\mathrm{GL}(n,\mathbb{Z})\). Zbl 0754.11016Ash, Avner 4 1992 Doubly cuspidal cohomology for principal congruence subgroups of \(\text{GL}(3,\mathbb Z)\). Zbl 0767.11027Ash, Avner; McConnell, Mark 4 1992 Mod \(p\) cohomology of \(\text{SL}(n,\mathbb Z)\). Zbl 0760.55004Ash, Avner; McConnell, Mark 3 1992 An \(\widehat{A_4}\) extension of \({\mathbb{Q}}\) attached to a non-selfdual automorphic form on \(GL(3)\). Zbl 0713.11036Ash, Avner; Pinch, Richard; Taylor, Richard 13 1991 Generalized modular symbols. Zbl 0719.11033Ash, Avner; Borel, Armand 2 1990 Parabolic cohomology of arithmetic subgroups of SL(2,\({\mathbb{Z}})\) with coefficients in the field of rational functions on the Riemann sphere. Zbl 0664.10014Ash, Avner 8 1989 Farrell cohomology of GL(n,\({\mathbb{Z}})\). Zbl 0693.20041Ash, Avner 8 1989 Non-minimal modular symbols for GL(n). Zbl 0671.22005Ash, Avner 5 1988 Modular forms in characteristic \(\ell\) and special values of their \(L\)-functions. Zbl 0618.10026Ash, Avner; Stevens, Glenn 62 1986 Cohomology of arithmetic groups and congruences between systems of Hecke eigenvalues. Zbl 0596.10026Ash, Avner; Stevens, Glenn 40 1986 A note on minimal modular symbols. Zbl 0589.20033Ash, Avner 9 1986 Small-dimensional classifying spaces for arithmetic subgroups of general linear groups. Zbl 0542.22011Ash, Avner 26 1984 Computations of cuspidal cohomology of congruence subgroups of SL(3,\({\mathbb{Z}})\). Zbl 0552.10015Ash, Avner; Grayson, Daniel; Green, Philip 18 1984 On the top betti number of subgroups of \(SL(n,Z)\). Zbl 0505.20035Ash, Avner 4 1983 Cohomology of congruence subgroups of \(SL(n,Z)\). Zbl 0438.20035Ash, Avner 15 1980 Non-square-integrable cohomology of arithmetic groups. Zbl 0446.20023Ash, Avner 12 1980 On the existence of eutactic forms. Zbl 0411.52007Ash, Avner 8 1980 The modular symbol and continued fractions in higher dimensions. Zbl 0426.10023Ash, Avner; Rudolph, Lee 36 1979 Deformation retracts with lowest possible dimension of arithmetic quotients of self-adjoint homogeneous cones. Zbl 0343.20026Ash, Avner 25 1977 On eutactic forms. Zbl 0339.52005Ash, Avner 10 1977 Cohomology of subgroups of finite index of SL (3,Z) and SL (4,Z). Zbl 0349.22009Ash, Avner 4 1977 Smooth compactification of locally symmetric varieties. Zbl 0334.14007Ash, A.; Mumford, D.; Rapoport, M.; Tai, Y. 189 1975 all cited Publications top 5 cited Publications all top 5 Cited by 582 Authors 49 Ash, Avner 20 Gunnells, Paul E. 15 McConnell, Mark 13 Yasaki, Dan 11 Doud, Darrin 8 Harris, Michael Howard 8 Sankaran, Gregory Kumar 7 Gee, Toby 6 Dutour-Sikiric, Mathieu 6 Lan, Kai-Wen 6 Offen, Omer 6 Şengün, Mehmet Haluk 5 Barrera Salazar, Daniel 5 Cadorel, Benoît 5 Di Cerbo, Luca Fabrizio 5 Hulek, Klaus 5 Pollack, David 5 Rahm, Alexander Daniel 5 Schürmann, Achill 5 Taylor, Richard 5 Williams, Chris J. K. 4 Alexeev, Valery A. 4 Bergdall, John 4 Burgos Gil, José Ignacio 4 Calegari, Frank 4 Diamond, Fred 4 Emerton, Matthew 4 Ginzburg, David 4 Gritsenko, Valeriĭ Alekseevich 4 Hwang, Jun-Muk 4 Kerr, Matthew 4 Kühnlein, Stefan 4 Matringe, Nadir 4 Roberts, David Peter 4 Schwermer, Joachim 4 Stover, Matthew 4 Viviani, Filippo 4 Zalel, Stav 3 Bellaïche, Joël 3 Choie, YoungJu 3 Coulangeon, Renaud 3 Di Cerbo, Gabriele 3 Dowker, Fay 3 Engel, Philip Milton 3 Friedman, Robert M. 3 Geraghty, David 3 Grushevsky, Samuel 3 Guitart, Xavier 3 Hansen, David 3 Hatada, Kazuyuki 3 Hayama, Tatsuki 3 Herzig, Florian 3 Kudla, Stephen S. 3 Lapid, Erez Moshe 3 Laza, Radu 3 Loeffler, David 3 Looijenga, Eduard J. N. 3 MacPherson, Robert Duncan 3 Masdeu, Marc 3 Namikawa, Yukihiko 3 Pearlstein, Gregory J. 3 Rallis, Stephen James 3 Seveso, Marco Adamo 3 Shankar, Arul 3 Sinnott, Warren M. 3 Stevens, Glenn 3 Stroh, Benoît 3 Thorne, Jack 3 To, Wing-Keung 3 Top, Jaap 3 Tsuyumine, Shigeaki 3 Usui, Sampei 3 Vallentin, Frank 3 Van der Geer, Gerard 3 van Geemen, Bert 3 Vatsal, Vinayak 3 Wang, Xiaoheng 3 Yeung, Sai-Kee 3 Zucker, Steven Mark 2 Aihara, Yoshihiro 2 Andreatta, Fabrizio 2 Arsovski, Bodan 2 Attwell-Duval, Dylan 2 Bakker, Benjamin 2 Barbu, Adrian 2 Battisti, Laurent 2 Bergeron, Nicolas 2 Botero, Ana María 2 Braun, Oliver 2 Bruinier, Jan Hendrik 2 Brunyate, Adrian 2 Brylinski, Jean-Luc 2 Bump, Daniel 2 Caraiani, Ana 2 Chida, Masataka 2 Clingher, Adrian 2 Fukshansky, Lenny 2 Gangl, Herbert 2 Gao, Shan 2 Gehrmann, Lennart ...and 482 more Authors all top 5 Cited in 101 Serials 42 Inventiones Mathematicae 39 Mathematische Annalen 38 Duke Mathematical Journal 34 Journal of Number Theory 30 Compositio Mathematica 21 Journal of Algebra 18 Transactions of the American Mathematical Society 14 Journal für die Reine und Angewandte Mathematik 14 Proceedings of the American Mathematical Society 13 Advances in Mathematics 13 Tôhoku Mathematical Journal. Second Series 12 Mathematische Zeitschrift 11 Experimental Mathematics 11 International Journal of Number Theory 9 Israel Journal of Mathematics 9 Annales de l’Institut Fourier 9 Manuscripta Mathematica 9 Journal de Théorie des Nombres de Bordeaux 8 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 8 Documenta Mathematica 8 Annals of Mathematics. Second Series 7 Journal of the Institute of Mathematics of Jussieu 7 Forum of Mathematics, Sigma 7 Annales Mathématiques du Québec 6 Mathematics of Computation 6 Journal of the European Mathematical Society (JEMS) 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Selecta Mathematica. New Series 5 Research in the Mathematical Sciences 4 Classical and Quantum Gravity 4 Publications Mathématiques 4 Journal of the London Mathematical Society. Second Series 4 Journal of Soviet Mathematics 4 Mathematische Nachrichten 4 Memoirs of the American Mathematical Society 4 Nagoya Mathematical Journal 4 Proceedings of the Japan Academy. Series A 4 Journal of the American Mathematical Society 4 Bulletin of the American Mathematical Society. New Series 4 Oberwolfach Reports 4 Algebra & Number Theory 4 Kyoto Journal of Mathematics 3 Communications in Algebra 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Journal of Pure and Applied Algebra 3 Forum Mathematicum 3 L’Enseignement Mathématique. 2e Série 3 Geometry & Topology 3 Groups, Geometry, and Dynamics 3 Research in Number Theory 2 Journal of Mathematical Physics 2 Rocky Mountain Journal of Mathematics 2 Archiv der Mathematik 2 Bulletin de la Société Mathématique de France 2 Commentarii Mathematici Helvetici 2 Geometriae Dedicata 2 Kodai Mathematical Journal 2 Michigan Mathematical Journal 2 Proceedings of the London Mathematical Society. Third Series 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Journal of Symbolic Computation 2 Journal of the Ramanujan Mathematical Society 2 International Journal of Mathematics 2 Journal of Algebraic Geometry 2 The Ramanujan Journal 2 LMS Journal of Computation and Mathematics 2 Acta Mathematica Sinica. English Series 2 Journal of Statistical Mechanics: Theory and Experiment 2 Science China. Mathematics 2 Journal de l’École Polytechnique – Mathématiques 1 American Mathematical Monthly 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Arkiv för Matematik 1 Journal of Geometry and Physics 1 Acta Arithmetica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Canadian Journal of Mathematics 1 Functional Analysis and its Applications 1 Glasgow Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of Differential Geometry 1 Journal of Functional Analysis 1 Monatshefte für Mathematik 1 Topology and its Applications 1 Differential Geometry and its Applications 1 Linear Algebra and its Applications 1 Expositiones Mathematicae 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Annales Mathématiques Blaise Pascal 1 Electronic Research Announcements of the American Mathematical Society 1 Sbornik: Mathematics 1 Conformal Geometry and Dynamics 1 Bulletin of the American Mathematical Society 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Noncommutative Geometry 1 Journal of Homotopy and Related Structures 1 Proceedings of the American Mathematical Society. Series B ...and 1 more Serials all top 5 Cited in 38 Fields 409 Number theory (11-XX) 205 Algebraic geometry (14-XX) 87 Several complex variables and analytic spaces (32-XX) 64 Topological groups, Lie groups (22-XX) 63 Group theory and generalizations (20-XX) 28 Differential geometry (53-XX) 18 Manifolds and cell complexes (57-XX) 16 Algebraic topology (55-XX) 13 Global analysis, analysis on manifolds (58-XX) 11 Convex and discrete geometry (52-XX) 10 \(K\)-theory (19-XX) 9 Commutative algebra (13-XX) 9 Nonassociative rings and algebras (17-XX) 7 Combinatorics (05-XX) 7 Associative rings and algebras (16-XX) 6 Relativity and gravitational theory (83-XX) 5 General and overarching topics; collections (00-XX) 5 Field theory and polynomials (12-XX) 5 Functions of a complex variable (30-XX) 4 Mathematical logic and foundations (03-XX) 4 Category theory; homological algebra (18-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Geometry (51-XX) 4 Statistics (62-XX) 4 Quantum theory (81-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 History and biography (01-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Partial differential equations (35-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Mathematics education (97-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.