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About Dr Anthony Henderson

I have broad research interests in the representations of Lie-theoretic objects and related areas of combinatorics and geometry.

I have a long-standing interest in the geometry of the various varieties which generalize the closures of nilpotent orbits, such as orbit closures in exotic nilpotent cones, Nakajima's quiver varieties, and nilpotent orbits for symmetric spaces. The desingularizations and intersection cohomology of these varieties usually have representation-theoretic significance. A further strand of my research is in more combinatorial areas related to hyperplane arrangements and their compactifications. My interest has been in computing the characters of the representations of symmetric groups and wreath products on the cohomology of various varieties on which they act.

Selected publications

1. Henderson A and Lehrer GI. The equivariant Euler characteristic of real Coxeter toric varieties. Bull. Lond. Math. Soc. 41 (2009), no. 3, 515--523. MR2506835
2. Henderson A. The symmetric group representation on cohomology of the regular elements of a maximal torus of the special linear group. J. Aust. Math. Soc. 84 (2008), no. 1, 85--98. MR2469269
3. Henderson A and Achar PN. Orbit closures in the enhanced nilpotent cone. Adv. Math. 219 (2008), no. 1, 27--62. MR2435419
4. Henderson A and Rains E. The cohomology of real De Concini-Procesi models of Coxeter type, International Mathematics Research Notices, 2008 (2008), no. rnn001, 29 pages. MR2428302
5. Henderson A. Induced characters of the projective general linear group over a finite field, Journal of Algebra, 307 (2007), no. 1, 116–135. MR2278045
6. Henderson A. Nilpotent orbits of linear and cyclic quivers and Kazhdan-Lusztig polynomials of type A, Representation Theory, 11 (2007), 95–121. MR2320806
7. Henderson A. Plethysm for wreath products and homology of sub-posets of Dowling lattices, The Electronic Journal of Combinatorics, 13 (2006), no. 1, #R87. MR2255429
8. Henderson A. Bases for certain cohomology representations of the symmetric group, Journal of Algebraic Combinatorics, 24 (2006), no. 4, 361–390. MR2266359
9. Henderson A. Species over a finite field, Journal of Algebraic Combinatorics, 21 (2005), 147–161. MR2142405
10. Henderson A. Representations of wreath products on cohomology of De Concini-Procesi compactifications, International Mathematics Research Notices, 20 (2004), 983–1021. MR2036424