Dr Simon Goodwin PhD, MMath


Senior Lecturer

School of Mathematics

Dr Simon Goodwin

Contact details

School of Mathematics
Watson Building
University of Birmingham
B15 2TT


Simon Goodwin is a Senior Lecturer of pure mathematics and also careers tutor in the School of Mathematics.

His research interests are in representation theory and Lie theory, and he has published over 20 research papers in international journals. He has received grants to support his research from the EPSRC and the LMS.

School web page: web.mat.bham.ac.uk/S.M.Goodwin


  • PhD in Mathematics, University of Birmingham, 2005
  • MMath in Mathematics, University of Oxford, 2001


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.


  • MSM1B/MSM2P01 Foundation and Abstraction

Postgraduate supervision

Simon is interested in supervising PhD projects. He has a variety of projects on the structure of algebraic groups and Lie algebras, and representation theory of algebras in Lie theory.


Representation theory and Lie theory:

  • algebraic groups
  • Lie algebras
  • finite W-algebras
  • 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


Mathematics Careers; employability.

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