Apology: So I really do have a terrible writers block. Almost nothing
I've done since 1994 is written.
I've spent most of the last five years thinking about what a representation
is. I think I now understand,
and Im hoping both to write some of it down, and to begin thinking about
what a group is. We can hope...
All I offer here is a selection of older work. Im not too proud of
it, and it doesnt really reflect much of what I've done.
None of the unwritten results are listed here... (Sorry!)
Headings overlap more than is apparant.
Character sheaves on symmetric spaces
Thesis, 1992:
Character sheaves on symmetric spaces
Cover note
on 'group-like' symmetric spaces. October 14, 1992. page 1 2 ps
Geometric Satake
Isomorphism for real reductive groups, with E. Mann, available July
2003
Quantum groups
A
comparison of bases of quantized enveloping algebras, with G. Lusztig
On
bases of irreducible representations of quantum GL_n, with G. Lusztig
The coproduct
for quantum GL_n
Affine Hecke algebras
Representations
of affine Hecke algebras (and affine quantum GL_n) at roots of unity
longer version
1, Not yet availiable online
longer version
2, Not yet availiable online
Affine sl_p controls the representation
theory of the symmetric group
Strong
multiplicity one theorems for affine Hecke algebras of type A, with
M. Vazirani
Blocks of the cyclotomic
Hecke algebra
Jantzen filtrations
Affine Hecke algebras associated
to Kac-Moody groups, with H. Garland
Quantum affine algebras
Book: Representations
of quantum affine algebras, manuscript 1994. Not yet availiable online.
Affinising quantum algebras: From D-modules to K-theory
see
also Instantons and affine algebras, below.
Minimal
representations for quantum affine algebras and the Kirillov-Reshetikhin
conjecture, with Mike Kleber
much
more to come here soon!
Hilbert Schemes
Instantons and affine algebras
I: The Hilbert scheme and vertex operators
Hilbert schemes, Hecke algebras
and the Calogero-Sutherland system, with K. Costello
Cohomology of the
Hilbert scheme, revisited, in preparation.
Elliptic cohomology
Delocalised
equivariant elliptic cohomology
Hodge theory on Infinite dim manifolds
The Strong Macdonald conjecture,
with S. Fishel, C.Teleman
Expository
paper: The Hodge theorem on infinite dimensional manifolds.
much
more to come here!
Misc. papers
Canonical
bases for the Brauer centralizer algebra, with S. Fishel
Geometric
multiplicity formulas for real groups, with S. Evens
Multiplicity one for discrete series representations
of reductive symmetric spaces, with S. Evens
Gross-Prasad conjecture for
real groups, with S. Evens. In preparation.
Weighted flag varieties, published
in Corti and Reid, Weighted
Grassmanians arXiv
Proofs
of the Immanent Conjectures, with M. Haiman. In preparation
*Note* If any links do not work,
please email me so I can fix them/send you the paper. Thanks!
Page
under construction: each line will be linked to a paper asap
Updated 10 June 2003
Im hoping to post 4 new papers by the end of summer... lets hope!