Rate My Professor Gustav Lehrer

Lehrer's research focuses on the complex representation theory of finite groups of Lie type, with extensive links to geometry, topology, algebraic groups, invariant theory, Hecke algebras, and Lie algebras. Major contributions include the co-discovery of cellular algebras with J.J. Graham, the Howlett-Lehrer theory on the decomposition of characters induced from parabolic subgroups, the parametrization of characters of finite special linear groups, and the determination of the action of complex reflection groups on the cohomology of the complement of reflecting hyperplanes. He co-authored the book Unitary Reflection Groups with D.E. Taylor in 2009. Key publications encompass 'Cellular algebras' (1996, 1054 citations), 'The representation theory of affine Temperley-Lieb algebras' (1998, 193 citations), 'Induced cuspidal representations and generalised Hecke rings' (1980, 176 citations with R.B. Howlett), and 'The Brauer category and invariant theory' (2015, 97 citations with R. Zhang). His scholarly impact is evidenced by supervision of nine PhD students and receipt of prestigious awards, including the Medal of the Australian Mathematical Society (1988), Fellowship of the Australian Academy of Science (1998), Humboldt Research Award (1999), Centenary Medal (2001), Hannan Medal (2015), George Szekeres Medal (2016, jointly), and appointment as Member of the Order of Australia (2016).