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Avner D. Ash - Publications

Affiliations: 
Ohio State University, Columbus, Columbus, OH 
Area:
Mathematics
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45 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Ash A, Gunnells PE, McConnell M. Cohomology with twisted one-dimensional coefficients for congruence subgroups of SL4(Z) and Galois representations Journal of Algebra. 553: 211-247. DOI: 10.1016/J.Jalgebra.2020.01.024  0.378
2019 Ash A, Doud D. Sums of Galois representations and arithmetic homology Transactions of the American Mathematical Society. 373: 273-293. DOI: 10.1090/Tran/7904  0.365
2019 Ash A, Gross R. Lattice-Packing by Spheres and Eutactic Forms Experimental Mathematics. 1-7. DOI: 10.1080/10586458.2019.1624660  0.333
2018 Ash A, Putman A, Sam SV. Homological vanishing for the Steinberg representation Compositio Mathematica. 154: 1111-1130. DOI: 10.1112/S0010437X18007029  0.339
2018 Ash A. Comparison of Steinberg modules for a field and a subfield Journal of Algebra. 507: 200-224. DOI: 10.1016/J.Jalgebra.2018.03.042  0.352
2017 Ash A, Pollack D. Toward an explicit eigencurve for GL(3) International Journal of Number Theory. 13: 1213-1231. DOI: 10.1142/S1793042117500658  0.363
2016 Ash A, Doud D. Relaxation of strict parity for reducible Galois representations attached to the homology of GL(3, Z) International Journal of Number Theory. 12: 361-381. DOI: 10.1142/S1793042116500226  0.4
2016 Ash A, Doud D. Galois representations attached to tensor products of arithmetic cohomology Journal of Algebra. 465: 81-99. DOI: 10.1016/J.Jalgebra.2016.06.030  0.408
2014 Ash A, Doud D. Reducible Galois representations and the homology of GL(3, ℤ) International Mathematics Research Notices. 2014: 1379-1408. DOI: 10.1093/Imrn/Rns256  0.436
2014 Ash A, Gunnells PE, McConnell M. Mod 2 homology for GL (4) and Galois representations Journal of Number Theory. DOI: 10.1016/J.Jnt.2013.12.003  0.381
2013 Ash A. Direct Sums of Mod p Characters of Gal and the Homology of GL(n, ℤ) Communications in Algebra. 41: 1751-1775. DOI: 10.1080/00927872.2011.649508  0.493
2012 Ash A. Hecke operators and the stable homology of GL(n) Communications in Algebra. 40: 1369-1387. DOI: 10.1080/00927872.2010.551531  0.39
2012 Ash A, Gunnells PE, McConnell M. Resolutions of the Steinberg module for GL(n) Journal of Algebra. 349: 380-390. DOI: 10.1016/J.Jalgebra.2011.09.018  0.362
2011 Ash A. A constructive approach to p-adic deformations of arithmetic homology Acta Arithmetica. 149: 305-319. DOI: 10.4064/Aa149-4-1  0.368
2011 Ash A, Gunnells PE, McConnell M. Torsion in the cohomology of congruence subgroups of SL(4,Z) and Galois representations Journal of Algebra. 325: 404-415. DOI: 10.1016/J.Jalgebra.2010.07.024  0.361
2010 Ash A, Gunnells PE, McConnell M. Cohomology of congruence subgroups of SL4(ℤ). III Mathematics of Computation. 79: 1811-1831. DOI: 10.1090/S0025-5718-10-02331-8  0.408
2008 Ash A, Pollack D. Everywhere unramified automorphic cohomology for SL3 (ℤ) International Journal of Number Theory. 4: 663-675. DOI: 10.1142/S1793042108001602  0.356
2008 Ash A, Pollack D, Stevens G. Rigidity of p-adic cohomology classes of congruence subgroups of GL(n, ℤ) Proceedings of the London Mathematical Society. 96: 367-388. DOI: 10.1112/Plms/Pdm048  0.446
2007 Ash A, Friedberg S. Hecke L-Functions And The Distribution Of Totally Positive Integers Canadian Journal of Mathematics. 59: 673-695. DOI: 10.4153/Cjm-2007-029-4  0.331
2007 Ash A, Brakenhoff J, Zarrabi T. Equality of Polynomial and Field Discriminants Experimental Mathematics. 16: 367-374. DOI: 10.1080/10586458.2007.10129001  0.331
2005 Ash A. Non-vanishing of alternants☆ Linear Algebra and Its Applications. 411: 348-355. DOI: 10.1016/J.Laa.2005.01.033  0.428
2005 Ash A, Pollack D, Sinnott W. A6-extensions of ℚ and the cohomology of GL3(ℤ) Journal of Number Theory. 115: 176-196. DOI: 10.1016/J.Jnt.2004.12.007  0.359
2004 Ash A, Pollack D, Soares D. SL3 (F2)-Extensions of Q and Arithmetic Cohomology Modulo 2 Experimental Mathematics. 13: 297-307. DOI: 10.1080/10586458.2004.10504542  0.373
2003 Ash A. Smith theory and Hecke operators Journal of Algebra. 259: 43-58. DOI: 10.1016/S0021-8693(02)00547-1  0.456
2002 Ash A, Doud D, Pollack D. Galois representations with conjectural connections to arithmetic cohomology Duke Mathematical Journal. 112: 521-579. DOI: 10.1215/S0012-9074-02-11235-6  0.448
2002 Ash A, Gunnells PE, McConnell M. Cohomology of congruence subgroups of SL4(ℤ)1 Journal of Number Theory. 94: 181-212. DOI: 10.1006/Jnth.2001.2730  0.431
2000 Ash A, Sinnott W. An analogue of Serre's conjecture for galois representations and hecke eigenclasses in the mod p cohomology of GL(n, ℤ) Duke Mathematical Journal. 105: 1-24. DOI: 10.1215/S0012-7094-00-10511-X  0.443
2000 Ash A, Gross R. Generalized Non-Abelian Reciprocity Laws: a Context for Wiles' Proof Bulletin of the London Mathematical Society. 32: 385-397. DOI: 10.1112/S0024609300007244  0.395
1999 Ash A. Monomial Galois representations and Hecke eigenclasses in the mod-p cohomology of \(GL((p-1),\mathbb{Z})\) Mathematische Annalen. 315: 263-280. DOI: 10.1007/S002080050367  0.378
1999 Ash A, Tiep PH. Modular Representations of GL(3, Fp), Symmetric Squares, and Mod-p Cohomology of GL(3, Z) Journal of Algebra. 222: 376-399. DOI: 10.1006/Jabr.1999.7988  0.417
1998 Allison G, Ash A, Conrad E. Galois Representations, Hecke Operators, and the mod-p Cohomology of GL(3, Z) with Twisted Coefficients Experimental Mathematics. 7: 361-390. DOI: 10.1080/10586458.1998.10504381  0.42
1998 Ash A, Manjrekar R. Galois representations and Hecke operators associated with the mod-\(p\) cohomology of \(GL(m(p-1),\mathbb{Z})\) Mathematische Zeitschrift. 227: 685-703. DOI: 10.1007/Pl00004399  0.36
1997 Ash A, McConnell MW. Cohomology at infinity and the well-rounded retract for general linear groups Duke Mathematical Journal. 90: 549-576. DOI: 10.1215/S0012-7094-97-09015-3  0.314
1996 Ash A, Ginzburg D. Generalized modular symbols and relative Lie algebra cohomology Pacific Journal of Mathematics. 175: 337-355. DOI: 10.2140/Pjm.1996.175.337  0.366
1994 Ash A, Ginzburg D. p-adic L-functions for GL(2n). Inventiones Mathematicae. 116: 27-73. DOI: 10.1007/Bf01231556  0.358
1992 Ash A. Galois representations attached to $\mod p$ cohomology of $GL(n,\mathbb{Z})$ Duke Mathematical Journal. 65: 235-255. DOI: 10.1215/S0012-7094-92-06510-0  0.46
1992 Ash A, McConnell M. Doubly cuspidal cohomology for principal congruence subgroups of gl(3, Z) Mathematics of Computation. 59: 673-688. DOI: 10.1090/S0025-5718-1992-1134711-3  0.432
1992 Ash A, McConnell M. Experimental Indications of Three-dimensional Galois Representations from the Cohomology of SL(3, Z) Experimental Mathematics. 1: 209-223. DOI: 10.1080/10586458.1992.10504259  0.477
1992 Ash A, McConnell M. Mod p cohomology of SL(n, Z) Topology. 31: 349-365. DOI: 10.1016/0040-9383(92)90027-F  0.423
1989 Ash A. Farrell cohomology of GL(n,Z) Israel Journal of Mathematics. 67: 327-336. DOI: 10.1007/Bf02764950  0.461
1988 Ash A. Non-minimal modular symbols for GL(n) Inventiones Mathematicae. 91: 483-491. DOI: 10.1007/Bf01388782  0.362
1984 Ash A. Small-dimensional classifying spaces for arithmetic subgroups of general linear groups Duke Mathematical Journal. 51: 459-468. DOI: 10.1215/S0012-7094-84-05123-8  0.338
1984 Ash A, Grayson D, Green P. Computations of cuspidal cohomology of congruence subgroups of SL(3, Z) Journal of Number Theory. 19: 412-436. DOI: 10.1016/0022-314X(84)90081-7  0.334
1983 Ash A. On the top betti number of subgroups of SL(n, ℤ) Mathematische Annalen. 264: 277-281. DOI: 10.1007/Bf01459124  0.365
1980 Ash A. Non-square-integrable cohomology of arithmetic groups Duke Mathematical Journal. 47: 435-449. DOI: 10.1215/S0012-7094-80-04726-2  0.302
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