Anthony Henderson

I am a Professor of Mathematics in the School of Mathematics and Statistics at the University of Sydney, and Executive Director of the University of Sydney Mathematical Research Institute, established in 2018. Here is my curriculum vitae (pdf, 9 pages).

Postal address: Prof Anthony Henderson Sydney Mathematical Research Institute A14 University of Sydney NSW 2006 Australia Office: Room L4.44, Quadrangle A14 Email: anthony.henderson[at]sydney.edu.au

Research Publications

1. Character sheaves on symmetric spaces, PhD thesis, Massachusetts Institute of Technology, 2001.
2. Fourier transform, parabolic induction, and nilpotent orbits, Transform. Groups 6 (2001), no. 4, 353-370.
3. Spherical functions of the symmetric space G(F_q²)/G(F_q), Represent. Theory 5 (2001), 581-614.
4. Two-row nilpotent orbits of cyclic quivers, Math. Z. 243 (2003), no. 1, 127-143.
5. Symmetric subgroup invariants in irreducible representations of G^F, when G=GL_n, J. Algebra 261 (2003), no. 1, 102-144.
6. Representations of wreath products on cohomology of De Concini-Procesi compactifications, Int. Math. Res. Not. 2004 (2004), no. 20, 983-1021.
7. Species over a finite field, J. Algebraic Combin. 21 (2005), no. 2, 147-161.
8. Bases for certain cohomology representations of the symmetric group, J. Algebraic Combin. 24 (2006), no. 4, 361-390.
9. Plethysm for wreath products and homology of sub-posets of Dowling lattices, Electron. J. Combin. 13 (2006), no. 1, Research Paper 87, 25 pp.
10. Induced characters of the projective general linear group over a finite field, J. Algebra 307 (2007), no. 1, 116-135.
11. Nilpotent orbits of linear and cyclic quivers and Kazhdan-Lusztig polynomials of type A, Represent. Theory 11 (2007), 95-121.
12. with Eric Rains: The cohomology of real De Concini-Procesi models of Coxeter type, Int. Math. Res. Not. 2008 (2008), rnn001, 29 pp.
13. 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.
14. with Pramod N. Achar: Orbit closures in the enhanced nilpotent cone, Adv. Math. 219 (2008), no. 1, 27-62. [Note the corrigendum retracting one statement. That statement was later proved by Carl Mautner in Proc. Amer. Math. Soc. 145 (2017), no. 4, 1393-1398.]
15. with Gus Lehrer: The equivariant Euler characteristic of real Coxeter toric varieties, Bull. London Math. Soc. 41 (2009), no. 3, 515-523.
16. Exterior powers of the reflection representation in the cohomology of Springer fibres, C. R. Math. Acad. Sci. Paris 348 (2010), no. 19-20, 1055-1058.
17. with Pramod N. Achar and Eric Sommers: Pieces of nilpotent cones for classical groups, Represent. Theory 15 (2011), 584-616.
18. with Pramod N. Achar and Benjamin F. Jones: Normality of orbit closures in the enhanced nilpotent cone, Nagoya Math. J. 203 (2011), 1-45.
19. Enhancing the Jordan canonical form, Austral. Math. Soc. Gaz. 38 (2011), no. 4, 206-211.
20. with Michelle L. Wachs: Unimodality of Eulerian quasisymmetric functions, J. Combin. Theory Ser. A 119 (2012), no. 1, 135-145.
21. with Peter E. Trapa: The exotic Robinson-Schensted correspondence, J. Algebra 370 (2012), 32-45.
22. Rational cohomology of the real Coxeter toric variety of type A, in Configuration Spaces: Geometry, Combinatorics, and Topology, Publications of the Scuola Normale Superiore, no. 14, A. Björner, F. Cohen, C. De Concini, C. Procesi and M. Salvetti (eds.), Pisa, 2012, 313-326, available from SNS and Birkhäuser.
23. with Pramod N. Achar: Geometric Satake, Springer correspondence, and small representations, Selecta Math. (N.S.) 19 (2013), no. 4, 949-986.
24. with Pramod N. Achar, Daniel Juteau and Simon Riche: Weyl group actions on the Springer sheaf, Proc. Lond. Math. Soc. 108 (2014), no. 6, 1501-1528.
25. with Anthony Licata: Diagram automorphisms of quiver varieties, Adv. Math. 267 (2014), 225-276.
26. with Pramod N. Achar and Simon Riche: Geometric Satake, Springer correspondence, and small representations II, Represent. Theory 19 (2015), 94-166.
27. Singularities of nilpotent orbit closures, Rev. Roumaine Math. Pures Appl. 60 (2015), no. 4, 441-469.
28. with Pramod N. Achar, Daniel Juteau and Simon Riche: Modular generalized Springer correspondence I: the general linear group, J. Eur. Math. Soc. (JEMS) 18 (2016), no. 7, 1405-1436.
29. with Pramod N. Achar, Daniel Juteau and Simon Riche: Constructible sheaves on nilpotent cones in rather good characteristic, Selecta Math. (N.S.) 23 (2017), no. 1, 203-243.
30. with Pramod N. Achar, Daniel Juteau and Simon Riche: Modular generalized Springer correspondence II: classical groups, J. Eur. Math. Soc. (JEMS) 19 (2017), no. 4, 1013-1070.
31. with Pramod N. Achar, Daniel Juteau and Simon Riche: Modular generalized Springer correspondence III: exceptional groups, Math. Ann. 369 (2017), no. 1-2, 247-300.
32. Involutions on the affine Grassmannian and moduli spaces of principal bundles, Bull. Inst. Math. Acad. Sin. (N.S.) 13 (2018), no. 1, 43-97.
33. with Pramod N. Achar, Daniel Juteau and Simon Riche: Modular generalized Springer correspondence: an overview, in Tsinghua Lectures in Mathematics, Adv. Lect. Math., no. 45, L. Ji, Y.-S. Poon and S.-T. Yau (eds.), International Press, Boston, 2019, 77-99, available from International Press and Amazon.
34. with Thomas Gobet and Ivan Marin: Braid groups of normalizers of reflection subgroups, to appear in Ann. Inst. Fourier (Grenoble).

Postdoctoral Supervision

• Anna Romanov, Research Associate (ARC-supported), November 2020 - present.
• Thomas Gobet, Research Associate (ARC-supported), January 2018 - August 2019.
• Ulrich Thiel, Research Fellow (ARC-supported), April 2017 - March 2019.
• Alan Stapledon, University of Sydney Postdoctoral Fellow, July 2013 - March 2015.

Postgraduate Supervision

• Kane Townsend, PhD (current)
• Joseph Baine, PhD (auxiliary supervisor - current)
• Gaston Burrull, PhD (auxiliary supervisor - current)
• Mengfan Lyu, PhD (auxiliary supervisor - current)
• Joel Gibson, PhD (auxiliary supervisor - approved Sep 2020)
• Joseph Baine, MPhil (auxiliary supervisor - approved Mar 2020)
• Alexander Kerschl, PhD (auxiliary supervisor - approved Jul 2019)
• Michael Hendriksen, MSc (associate supervisor - approved Jan 2016)
• Clinton Boys, PhD (associate supervisor - approved Feb 2015)
• Natalie Aisbett, PhD (approved Jun 2013)
• Graham White, MSc (associate supervisor - approved May 2013)
• Ge Li, PhD (associate supervisor - approved Dec 2012)
• Justin Koonin, PhD (associate supervisor - approved Mar 2012)
• Neil Saunders, PhD (associate supervisor - approved Feb 2011)
• Michael Sun, MSc (approved Jan 2010)

Some Links

• School of Mathematics and Statistics external front page.
• Mathematics ArXiv.
• My author profile in MathSciNet.
• My publications in zbMATH.
• My page in the Mathematics Genealogy Project.
• George Lusztig, my thesis advisor at MIT.
• Kevin McGerty, a fellow Lusztig student, now at Oxford University.
• Lenny Ng, a fellow MIT graduate student, now at Duke University.
• Tara Holm, a fellow MIT graduate student, now at Cornell University.
• Pramod Achar, a fellow MIT graduate student and regular collaborator of mine, now at Louisiana State University.
• Peter Trapa, a fellow MIT graduate student, now at the University of Utah.
• Eric Sommers, a fellow Lusztig student, now at the University of Massachusetts Amherst.
• Daniel Juteau, a collaborator of mine at Institut de Mathématiques de Jussieu.
• Simon Riche, a collaborator of mine at Université Clermont Auvergne.
• Tony Licata, a collaborator of mine at the Australian National University.