Avner Ash's Home Page - Boston College
Avner Ash
Professor of Mathematics
Boston College

Office: 323 Carney
Phone: use e-mail instead
E-mail: ashav@bc.edu
Office hours: As posted on my office door or by appointment via e-mail
Teaching: see Blackboard Vista

My student David Hansen's website

BC seminars

BU algebra seminar

Harvard math seminars

Department of Mathematics, Boston College, Carney Hall -- Room 301, Chestnut Hill, MA 02467-3806

Recent publications and preprints
pdf Direct sums of characters of mod p characters of Gal(Q-bar/Q) and the homology of GLn(Z)
preprint
pdf Hecke operators and the stable homology of GL(n)
preprint
pdf A constructive approach to p-adic deformations of arithmetic homology
preprint
pdf p-adic deformations of arithmetic cohomology
joint with Glenn Stevens
DRAFT 2007
pdf Torsion in the cohomology of congruence subgroups of SL(4,Z) and Galois representations
joint with Paul Gunnells and Mark McConnell
Journal of Algebra, to appear
pdf Cohomology of congruence subgroups of GL4(Z). III
joint with Paul Gunnells and Mark McConnell
Math. Comp. 79 (2010) 1811-1831
pdf Cohomology of congruence subgroups of GL4(Z) II
joint with Paul Gunnells and Mark McConnell
Journal of Number Theory 128 (2008) 2263-2274
pdf Frequencies of successive pairs of prime residues
joint with Laura Beltis, Robert Gross and Warren Sinnott
Experimental Math. J., to appear
pdf Equality of polynomial and field discriminants
joint with Jos Brakenhoff and Theodore Zarrabi
Experimental Math. J. 16 (2007) 367-374
pdf Frequencies of successive tuples of Frobenius classes
joint with Brandon Bate and Robert Gross
Experimental Math. J. 18 (2009) 55-63
pdf Everywhere unramified automorphic cohomology for GL3(Z)
joint with David Pollack
Int. Journal of Number Theory 4 (2008) 663-675
pdf Set-theoretic Hida projectors
Proc. Amer. Math. Soc. 137 (2008) 1235-1237
pdf Hecke L-functions and the distribution of totally positive integers
joint with Solomon Friedberg
Canadian J. Math. 59 (2007) 673-695
pdf A6-extensions of Q and the mod p cohomology of GL3(Z)
joint with David Pollack and Warren Sinnott
Journal of Number Theory, 115 (2005) no. 1, 176-196
pdf Non-vanishing of alternants
Linear Algebra Applications, 411 (2005) 348-355
pdf SL3(F2)-extensions of Q and arithmetic cohomology modulo 2
joint with David Pollack and Dayna Soares
Experimental Mathematics, 13 (2004) no. 3, 298-307
pdf Smith theory and Hecke operators
Journal of Algebra, 259 (2003) no. 1, 43-58
pdf Cohomology of congruence subgroups of SL4(Z)
joint with Paul Gunnells and Mark McConnell
Journal of Number Theory, 94 (2002) no. 1, 181-212
pdf Galois representations with conjectural connections to arithmetic cohomology
joint with David Pollack and Darren Doud
Duke Mathematics Journal, 112 (2002) no. 3, 521-579
pdf An analogue of Serre's conjecture for Galois representations and Hecke eigenclasses in the mod p cohomology of GL(n,Z)
joint with Warren Sinnott
Duke Mathematics Journal, 105 (2000) no. 1, 1-24
pdf Generalized non-abelian reciprocity laws: a context for Wiles' proof
joint with Robert Gross
Bull. London Math. Soc., 32 (2000), no. 4, 385--397
pdf Modular representations of GL(3,Fp), symmetric squares, and mod-p cohomology of GL(3,Z)
joint with Pham Huu Tiep
Journal of Algebra, 222 (1999) no. 2, 376-399
pdf Monomial Galois representations and Hecke eigenclasses in the mod-p cohomology of GL(p-1,Z)
Math. Ann. 315 (1999), no. 2, 263--28
pdf Galois representations, Hecke operators, and the mod-p cohomology of GL(3,Z) with twisted coefficients
joint with Gerald Allison and Eric Conrad
Experimental Mathematics, 7 (1998), no. 4, 361-390
pdf Cohomology at infinity and the well-rounded retract for general linear groups
joint with Mark McConnell
Duke Mathematics Journal 90 (1997) no. 3, 549-576
pdf p-adic deformations of cohomology classes of subgroups of GL(n,Z)
joint with Glenn Stevens
Journees Arithmetiques, (Barcelona, 1995) Collect. Math. 48 (1997), no. 1-2, 1-30