## Publications

Here is a list of my publications. Where available, a link to the MathSciNet reference, and a PDF of the paper, is present.

### Book

The Theory of Fusion Systems: An algebraic approach. Published with CUP, ISBN 9781107005969. CUP website, Amazon.co.uk. Errata list can be found here (if anyone finds any errors not on this list, please let me know).

### In Preparation, Preprints and Submitted Articles

(Joint with Chris Parker and Kay Magaard) *Medium-rank subgroups of exceptional groups of Lie type*, in preparation.

(Joint with Radha Kessar) *The Brauer trees of finite groups*, in preparation.

(Joint with Olivier Dudas and Raphaël Rouquier) *Modular Deligne-Lusztig theory and Brauer trees of unipotent blocks*, preprint.

*Maximal PSL _{2} subgroups of exceptional groups of Lie type*, preprint. PDF, Magma code

*Groups with a p-element acting with a single non-trivial Jordan block on a simple module in characteristic p*, preprint. PDF

(Joint with Bob Oliver and Jason Semeraro) *Reduced fusion systems over *p*-groups with an abelian subgroup of index *p*: II*, submitted. PDF

*Subspace stabilizers and maximal subgroups of exceptional groups of Lie type*, submitted. PDF, Magma code

*Perverse Equivalences and Broué's Conjecture II: The cyclic case*, submitted. PDF with appendix, PDF without appendix.

*Alternating subgroups of exceptional groups of Lie type*, Proc. Lond. Math. Soc., accepted. DOI (not yet active), PDF

### Published Articles

[14] *Brauer Trees of Non-Crystallographic groups of Lie type*, J. Algebra **398** (2014), 481-495. DOI, PDF

[13] (Joint with Peter Pappas) *On the Unit Conjecture for Supersoluble Group Algebras*, J. Algebra **394** (2013), 310-356. DOI, PDF, Old PDF

[12] (Joint with Raphaël Rouquier) *Perverse Equivalences and Broué's Conjecture*, Adv. Math. **248** (2013), 1-53. DOI, PDF,
Old PDF

[11] *On Tensor Products of Simple Modules for Simple Groups*, Algebr. Represent. Theory **126** (2013), 377-404. DOI, PDF, Old PDF

[10] *Relating Simple Modules in Weight 2 Blocks of Symmetric Groups*, Quart. J. Math. Oxford **63** (2013), 377-404. DOI, PDF, Old PDF

[9] (Joint with Adam Glesser) *Fusion Systems on Small p-Groups*, Trans. Amer. Math. Soc., **364** (2012), 5945-5967. DOI, PDF

[8] *Normal Subsystems of Fusion Systems*, J. Lond. Math. Soc., **84** (2011), 137-158. DOI, PDF, Old PDF

[7] (Joint with Charles Eaton, Radha Kessar, and Markus Linckelmann) *Blocks with a Klein Four Defect Group*, Math. Z. **268** (2011), 441-476. DOI, PDF, Old PDF

[6] *Algebraic Modules and the Auslander–Reiten Quiver*, J. Pure Appl. Algebra **215** (2011), 221–231. MathSciNet, DOI, PDF, Old PDF

[5] *Lower Bounds for Representation Growth*, J. Group Theory **13** (2010), no. 6, 873–890. MathSciNet, DOI, PDF, Old PDF

[4] *Control of Fusion and Solubility in Fusion Systems*, J. Algebra **323** (2010), no. 9, 2429-2448. MathSciNet, DOI, PDF, Old PDF

[3] *Simple Modules for Groups with Abelian Sylow *2-*subgroups Are Algebraic*, J. Algebra **231** (2009), no. 5, 1473–1479. MathSciNet, DOI, PDF, Errata for PDF (with thanks to the referee of [8]), Old PDF

[2] (Joint with Andrew Holloway, Lei Xiao, Javier del Campo, and Gregory Wildgoose) *Developing Random Network Theory for Carbon Nanotube Modified Electrode Voltammetry: Introduction and Application to Estimating the Potential Drop between MWCNT-MWCNT Contacts*, J. Phys. Chem. C **112** (2008), no. 35, 13729–13738. DOI, PDF.

[1] *Symmetric Group Character Degrees and Hook Numbers*, Proc. Lond. Math. Soc. (3) **96** (2008), no. 1, 26–50. MathSciNet, DOI, PDF, Old PDF

### Non-Published Articles (generally short notes)

[6] *Thompson p-Nilpotence and Fusion Systems*, preprint, June 2011. PDF

[5] *Alperin's Fusion Theorem and Fusion Systems*, preprint, September 2010. PDF

[4] *Contrasting the Definitions of Normal Subsystems in Fusion Systems*, preprint, July 2009. PDF

[3] *Strong Closure and p-Normality for Fusion Systems*, preprint, July 2009. PDF

[2] *On ZJ-Theorems for Fusion Systems*, preprint, March 2009. PDF

[1] *The Number of t-Cores of Size n*, preprint, August 2006. PDF

## Theses

Here is a list of my theses, from my 2004 Masters dissertation under Geoffrey Robinson to my D.Phil. thesis under Michael Collins in 2007/2008.

*The modular representation theory of finite groups*, M.Sci. dissertation, 2004. PDF

*Scott modules and lower defect groups*, D.Phil. transfer thesis, 2005. PDF

*Algebraic modules for finite groups*, D.Phil. thesis, 2007. PDF, PDF (double-sided)

## MathSciNet

You can see a list of my publications on MathSciNet here.