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!