Ian Grojnowski is a mathematician working at the Department of Pure Mathematics and Mathematical Statistics at the University of Cambridge.[3]

Ian Grojnowski
Alma materUniversity of Sydney
Massachusetts Institute of Technology (PhD)[1]
AwardsFröhlich Prize (2004)
Scientific career
InstitutionsUniversity of Cambridge
ThesisCharacter Sheaves on Symmetric Spaces (1992)
Doctoral advisorGeorge Lusztig[1]
Doctoral studentsKevin Costello[2][1]

Awards and honours edit

Grojnowski was the first recipient of the Fröhlich Prize of the London Mathematical Society in 2004 for his work in representation theory and algebraic geometry. The citation reads[4]

Grojnowski's insights into geometric contexts for representation theory go back to his thesis with George Lusztig on character sheaves over homogeneous spaces.[5] He has exploited these ideas to make breakthroughs in several completely unexpected areas, including representations of the affine Hecke algebras at roots of 1 (generalising results of Kazhdan and Lusztig), the representation theory of the symmetric groups Sn in characteristic p, the introduction (simultaneously with Nakajima) of vertex operators on the cohomology of the Hilbert schemes of finite subschemes of a complex algebraic surface, and (in joint work with Fishel and Teleman) the proof of the strong Macdonald conjecture of Hanlon and Feigin for reductive Lie algebras.

References edit

  1. ^ a b c Ian Grojnowski at the Mathematics Genealogy Project
  2. ^ Costello, Kevin Joseph (2003). Gromov-Witten invariants and symmetric products. lib.cam.ac.uk (PhD thesis). University of Cambridge. OCLC 894595138. EThOS uk.bl.ethos.620044.
  3. ^ "Ian Grojnowski". www.dpmms.cam.ac.uk.
  4. ^ Grojnowski's citation from the London Mathematical Society Archived 2004-12-31 at the Wayback Machine
  5. ^ Character sheaves on symmetric spaces Ph.D. thesis by I. Grojnowski