Previous PhD students

Members of the Algebra Group have supervised a number of PhD students over the years.

A list of those students who have submitted theses to the University repository are below. (Some have not done this and they are not listed here.)

• Rachel Pengelly (2023). On sl₂-triples in Lie algebras of reductive algebraic groups in positive characteristic. Supervisor: Simon Goodwin.
• Mashaer Alsaeedi (2022). A new series of axial algebras of Monster type (2η,η) related to the extended symmetric groups. Supervisor: Sergey Shpectorov.
• Mark Butler (2022). The sheaf homology of the Cayley module for G₂(q). Supervisor: Chris Parker.
• Martin van Beek (2022). Local group theory, the amalgam method, and fusion systems. Supervisor: Chris Parker.
• Leyu Han (2020). Centres of centralizers of nilpotent elements in simple Lie superalgebras. Supervisor: Simon Goodwin.
• Vijay Joshi (2020). Axial algebras of Monster type (2η, η). Supervisor: Sergey Shpectorov.
• Jack Saunders (2020). Maximal cocliques and cohomology in rank one linear groups. Supervisor: Chris Parker.
• Raul Moragues Moncho (2019). Fusion systems on p-groups with an extraspecial subgroup of index p. Supervisor: Chris Parker.
• Athar Warraich (2019). Realizing infinite families of fusion systems over finite groups. Supervisor: Chris Parker.
• James Whitley (2019). Vertices for Iwahori-Hecke algebras of the symmetric group. Supervisor: Anton Evseev and Simon Goodwin.
• Abdullah Assiry (2018). Partial groups. Supervisor: Paul Flavell.
• Ryan Davies (2018). An induction theorem inspired by Brauer's induction theorem for characters of finite groups. Supervisor: Anton Evseev and David Craven.
• Stefano Sannella (2018). Broué's conjecture for finite groups. Supervisor: David Craven.
• Russell Goddard  (2017). Commuting varieties and nilpotent orbits. Supervisor: Simon Goodwin.
• Valentina Grazian (2017). Fusion systems on p-groups of sectional rank 3. Supervisor: Chris Parker.
• Peshawa Mohammed Khudhur (2016). Sporadic simple groups of low genus. Supervisor: Kay Magaard and Sergey Shpectorov.
• Alessandro Paolini (2016). The irreducible characters of Sylow p-subgroups of split finite groups of Lie type. Supervisor: Simon Goodwin.
• Zahra Behrang (2015). Root systems of Levi type for Lie algebras of affine type. Supervisor: Simon Goodwin.
• Tom Brookfield (2015). Overgroups of a linear Singer cycle in classical groups. Supervisor: Chris Parker.
• Adam Firkin (2015). Connectivity of Hurwitz spaces for L₂(7), L₂(11) and S₄. Supervisor: Sergey Shpectorov.
• Davoud Ghatei (2015). Spin covers of maximal compact subgroups of Kac-Moody groups and of Weyl groups. Supervisor: Ralf Gramlich and Sergey Shpectorov.
• Sanhan Muhammad Salih Khasraw (2015). M-axial algebras related to 4-transposition groups. Supervisor: Sergey Shpectorov.
• Haval Mohammed Salih (2015). Finite groups of small genus. Supervisor: Kay Magaard and Sergey Shpectorov.
• Felix Rehren (2015). Axial algebras. Supervisor: Sergey Shpectorov.
• Glen Collins (2014). On the fitting height of soluble groups. Supervisor: Paul Flavell.
• Eleanor Cassell (2013). Conjugacy classes in finite groups, commuting graphs and character degrees. Supervisor: Chris Parker.
• Betty Fyn-Sydney (2013). Phan geometries and error correcting codes. Supervisor: Corneliu Hoffman.
• Adam James (2013). Connectivity of Hurwitz spaces. Supervisor: Sergey Shpectorov.
• Luke Morgan (2013). Symmetric and semisymmetric graphs. Supervisor: Chris Parker.
• Philip Keen (2012). Independent Sets in Some Classical Groups of Dimension Three. Supervisor: Corneliu Hoffman.
• Kieran Roberts (2012). Lie algebras and incidence geometry. Supervisor: Sergey Shpectorov.
• Gehao Wang (2012). Genus zero systems for primitive groups of affine type. Supervisor: Kay Magaard and Sergey Shpectorov.
• Justin McInroy (2011). A family of biaffine geometries and their resulting amalgams. Supervisor: Sergey Shpectorov.
• Thomas Morris (2011). Nilpotent injectors in finite groups. Supervisor: Paul Flavell.
• Sarah Astill (2010). Odd characterizations of almost simple groups - 3-local and character theoretic methods. Supervisor: Chris Parker.
• Ellen Henke (2010). Minimal fusion systems. Supervisor: Sergey Shpectorov.
• Benjamin Fairbairn (2009). On the symmetric generation of finite groups. Supervisor: Rob Curtis.
• Hung Tong Viet (2009). Rank 3 permuation characters and maximal subgroups. Supervisor: Kay Magaard.
• Murray Clelland (2007). Saturated fusion systems and finite groups. Supervisor: Chris Parker.
• Rachel Fowler (2007). A 3-local characterization of the group of the Thompson sporadic simple group. Supervisor: Chris Parker.
• Marijke van Gans (2007). Topics in trivalent graphs. Supervisor: Rob Curtis.
• Simon Nickerson (2006). An atlas of characteristic zero representations. Supervisor: Rob Wilson.
• Simon Goodwin (2005). Relative Springer isomorphisms and the conjugacy classes in Sylow p-subgroups of Chevalley groups. Supervisor: Gerhard Röhrle.
• Ahmad Alghamdi (2004). The Ordinary Weight conjecture and Dade's Projective Conjecture for p-blocks with an extra-special defect group. Supervisor: Geoffrey Robinson.
• Paul Stephen Morey (2003). The (S₃,A_n)- and (S₃,S_n)-amalgams of characteristic 2 and critical distance 3. Supervisor: Chris Parker.