Simon Goodwin completed his MMath degree at the University of Oxford in 2001. He studied for his PhD at the University of Birmingham, which was completed in 2004. After his PhD he took a one year postdoctoral research position at the University of Aarhus, before taking up a Junior Research Fellowship at the University of Oxford. Simon returned to the University of Birmingham in 2006, when he was appointed as a Birmingham Research Fellow, and is now a Senior Lecturer.
Simon’s recent research has concentrated on representation theory of finite W-algebras, and he has an EPSRC grant to fund this research.
As well as his teaching duties, Simon is Careers tutor in the School of Mathematics.
Representation theory and Lie theory:
finite group of Lie type
Recently Simon has been mainly interested in the representation theory of finite W-algebras. He is also interested in the structure of algebraic groups and finite groups of Lie type. In particular, in questions about their conjugacy classes.
Please see my publications for more information.
SM Goodwin, S.M. (2010), Translation for finite W-algebras, Representation theory (to appear).
Goodwin, S.M. (2010), A note on Verma modules for finite W-algebras. J. Algebra 324, no. 8, 2058–2063.
Goodwin S.M., Röhrle G. and Ubly G. (2010), On 1-dimensional representations of finite W-algebras associated to simple Lie algebras of exceptional type, LMS Journal of Computation and Mathematics, 13 (2010), 357–369.
Goodwin, S.M. and Röhrle, G. (2010) Counting conjugacy classes in the unipotent radical of parabolic subgroups of GL_n(q), Pacific Journal of Mathematics, 245 (2010), no. 1, 47–56.
Goodwin, S.M. and Röhrle, G. (2009), Calculating conjugacy classes in Sylow p-subgroups of finite Chevalley groups, Journal of Algebra 321 (2009), no. 11, 3321–3334. Special Issue in Honor of Gus Lehrer
Brundan, J., Goodwin, S.M. and A Kleshchev, A. (2008) ,Highest weight theory for finite W-algebras, International Mathematics Research Notices (2008) Vol. 2008: article ID rnn051