Previous PhD students In 'Algebra' Algebra homepageResearch topicsSeminars and eventsCurrent and previous grantsPrevious PhD students Back to 'Mathematics Research' 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.) 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,An)- and (S3,Sn)-amalgams of characteristic 2 and critical distance 3. Supervisor: Chris Parker.