About Professor Anthony Henderson

My research is in representation theory and related areas of combinatorics and geometry.

I am particularly interested in the closures of nilpotent orbits and other algebraic varieties analogous or related to them, such as orbit closures in Hilbert nullcones, Nakajima quiver varieties, and certain subvarieties of affine Grassmannians. These varieties are important in various geometric constructions of representations. 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.

For my research I have been awarded the Christopher Heyde Medal of the Australian Academy of Science in 2011, and the Medal of the Australian Mathematical Society in 2012.

Selected publications

• Achar, P., Henderson, A., Juteau, D., Riche, S. (2017). Modular generalized Springer correspondence II: classical groups. Journal of the European Mathematical Society, 19(4), 1013-1070.

• Achar, P., Henderson, A., Juteau, D., Riche, S. (2016). Modular generalized Springer correspondence I: the general linear group. Journal of the European Mathematical Society, 18(7), 1405-1436.

• Achar, P., Henderson, A., Riche, S. (2015). Geometric Satake, Springer correspondence, and small representations II. Representation Theory, 19, 94-166.

• Henderson, A. (2015). Singularities of nilpotent orbit closures. Revue Roumaine de Mathematiques Pures et Appliquees, 60(4), 441-469.

• Henderson, A., Licata, A. (2014). Diagram automorphisms of quiver varieties. Advances in Mathematics, 267, 225-276.

• Achar, P., Henderson, A., Juteau, D., Riche, S. (2014). Weyl group actions on the Springer sheaf. Proceedings of the London Mathematical Society, 108(6), 1501-1528.

• Achar, P., Henderson, A. (2013). Geometric Satake, Springer correspondence and small representations. Selecta Mathematica - New Series, 19(4), 949-986.

• Achar, P., Henderson, A. (2008). Orbit closures in the enhanced nilpotent cone. Advances in Mathematics, 219(1), 27-62.

• Henderson, A., Rains, E. (2008). The cohomology of real De Concini-Procesi models of Coxeter type. International Mathematics Research Notices, 2008, rnn001-1-rnn001-29.

• Henderson, A. (2004). Representations of wreath products on cohomology of De Concini-Procesi compactifications. International Mathematics Research Notices, 2004 (20), 983-1021.