Anthony Henderson

From July 2022, I am an Honorary Professor of the University of Sydney. I was an academic staff member in the School of Mathematics and Statistics from July 2001 to June 2022, and was the founding Executive Director of the Sydney Mathematical Research Institute. Here is my curriculum vitae (pdf, 9 pages).

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(Fq²)/G(Fq), 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 GF, when G=GLn, 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, Ann. Inst. Fourier (Grenoble) 71 (2021), no. 6, 2273-2304.

Postdoctoral Supervision

I was the formal supervisor of the following postdoctoral researchers.

Postgraduate Supervision

I was a supervisor of the following postgraduate students (this list is of completed students whom I supervised for a majority of their candidature). I also supervised eleven Honours projects and eight Vacation Scholarships.

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