Avner Ash Professor of Mathematics Boston College Office: 323 Carney Phone: use email instead Email: ashav@bc.edu Office hours: As posted on my office door or by appointment via email 
Teaching: see Blackboard Vista My student David Hansen's website

Recent publications and preprints 

Direct sums of characters of mod p characters of Gal(Qbar/Q) and the
homology of GL_{n}(Z)
 
Hecke operators and the stable homology of GL(n)
 
A constructive approach to padic deformations of arithmetic homology
 
padic deformations of arithmetic cohomology
 
Torsion in the cohomology of congruence subgroups of
SL(4,Z) and Galois representations 

Cohomology of congruence subgroups of
GL_{4}(Z). III 

Cohomology of congruence subgroups of
GL_{4}(Z) II 

Frequencies of successive pairs of prime residues 

Equality of polynomial and field discriminants 

Frequencies of successive tuples of Frobenius classes


Everywhere unramified automorphic cohomology for
GL_{3}(Z) 

Settheoretic Hida projectors


Hecke Lfunctions and the distribution of totally positive integers 

A_{6}extensions of Q and the mod p cohomology of
GL_{3}(Z) 

Nonvanishing of alternants


SL_{3}(F_{2})extensions of Q and arithmetic
cohomology modulo 2


Smith theory and Hecke operators


Cohomology of congruence subgroups of SL_{4}(Z)


Galois representations with conjectural connections to arithmetic
cohomology


An analogue of Serre's conjecture for Galois representations and Hecke
eigenclasses in the mod p cohomology of GL(n,Z)
 
Generalized nonabelian reciprocity laws: a context for Wiles' proof
 
Modular representations of GL(3,F_{p}), symmetric squares, and
modp cohomology of GL(3,Z)
 
Monomial Galois representations and Hecke eigenclasses in the
modp cohomology of GL(p1,Z)
 
Galois representations, Hecke operators, and the modp cohomology of
GL(3,Z) with twisted coefficients
 
Cohomology at infinity and the wellrounded retract for general linear
groups
 
padic deformations of cohomology classes of subgroups of GL(n,Z)
