** Professor of Representation Theory **

*Research Interests: *Representation theory, reductive groups, algebraic geometry

## Publications

Del Pezzo surfaces as Springer fibres for exceptional groups

– Proceedings of the London Mathematical Society

(2019)

plms.12290

(DOI: 10.1112/plms.12290)

The strong Macdonald conjecture and Hodge theory on the loop Grassmannian

– Annals of Mathematics

(2008)

168,

175

(DOI: 10.4007/annals.2008.168.175)

Delocalised equivariant elliptic cohomology (with an introduction by Matthew Ando and Haynes Miller)

(2007)

342,

114

(DOI: 10.1017/cbo9780511721489.007)

Ian Grojnowski’s “delocalized equivariant elliptic cohomology”

(2007)

342,

111

Prizewinners 2004

– Bulletin of the London Mathematical Society

(2005)

37,

468

(DOI: 10.1112/s0024609305004431)

Hilbert schemes, Hecke algebras and the Calogero-Sutherland system

The Strong Macdonald Conjecture

Strong multiplicity one theorems for affine Hecke algebras of type A

– Transformation Groups

(2001)

6,

143

(DOI: 10.1007/bf01597133)

Affine sl_p controls the representation theory of the symmetric group
and related Hecke algebras

Instantons and affine algebras I: The Hilbert scheme and Vertex operators

– Mathematical Research Letters

(1996)

3,

275

(DOI: 10.4310/mrl.1996.v3.n2.a12)

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