Research

IMG_1012

Peer-reviewed Journal Articles

Submitted

18. Restriction of odd degree characters of S_njoint with C. Bessenrodt and J. Olsson; (Submitted).

17. A canonical class of p’-degree characters of S_n(Submitted).

16. Restricting irreducible characters to Sylow p-subgroupsjoint with G. Navarro; (Submitted).

15. Alperin-Mckay natural correspondences in solvable and symmetric groups for the prime p=2joint with J. Murray and J. Tent; (Submitted).

14. Irreducible characters of 3′-degree of finite symmetric, general linear and general unitary groupsjoint with J. Tent and P.H. Tiep; (Submitted).

13. Generalised row removal phenomena and p-Kostka numbers, joint with C. Bowman; (Submitted).

Published

12. Characters of odd degree of symmetric groupsJournal of the London Mathematical Society, (2) 00 (2017). DOI: 10.1112/jlms.12048.

11. On the restriction of irreducible characters of symmetric groups to Sylow p-subgroups,  Journal of Algebra 483 (2017) 37-57.

10. On signed p-Kostka numbers and the indecomposable Young permutation modules, joint with K. J. Lim, W. O’Donovan and M. Wildon, Journal of Group Theory (2017)DOI: https://doi.org/10.1515/jgth-2017-0007

9. Hausdorff dimension in R-analytic profinite groups, joint with G. Fernandez-Alcober and J. Gonzalez-Sanchez, Journal of Group Theory 20 (2017), no. 3, 579-587.

8. Restriction of odd degree characters and natural correspondences, joint with A. Kleshchev, G. Navarro and P.H. Tiep, International Mathematics Research Notices (2016), no. 00, 1-30.

7. Sylow subgroups of symmetric and alternating groups and the vertex of S^(kp-p,1^p) in characteristic p, joint with K. J. Lim and M. Wildon, Journal of Algebra  (2016), pp. 358-385.

6. Indecomposable summands of Foulkes modules, joint with M. Wildon,  Journal of Pure and Applied Algebra (2016), no. 8, 2969–2984.

5. Vertices of simple modules of symmetric groups labelled by hook partitions, joint with S. Danz, Journal of Group Theory, Volume 18, (2015), pages 313–334.

4. On permutation modules and decomposition numbers for symmetric groups,  Journal of Algebra, Volume 422, (2015), pp. 427-449

3. Foulkes Modules and decomposition numbers of the symmetric group, joint with M. Wildon,  Journal of Pure and Applied Algebra 219 (2015), pp. 255-276.

2. A lower bound on the vertices of Specht modules for symmetric groups,  Archive der Mathematik, issue 1, volume 103, (2014), pp. 1-9.

1. On the decomposition of the Foulkes Module, Archive der Mathematik, volume 100, pp. 201-214. Springer 2013.

Other Publications

Relative Projectivity of Specht and simple modules of the symmetric groups, To appear in Oberwolfach reports.

Symmetry and Characters of Finite Groups, joint with J. Taylor, Snapshot of Modern Mathematics from Oberwolfach No. 5-2016.

Invited Talks

25/04/2017. Restriction of characters to Sylow p-subgroups, Algebra Seminar, University of Manchester, UK.

12/04/2017. Restrizione di caratteri irriducibili a sottogruppi di Sylow, Seminario di Algebra , Università di Firenze, Italy.

03/04/2017. Odd degree characters of symmetric groups, Algebra Seminar, University of Reims, France.

24/03/2017. Restriction of characters to Sylow p-subgroups, Mathematical ColloquiumUniversity of Dublin Maynooth, Ireland.

17/02/2017. 3′-degree characters of symmetric and general linear groups, Combinatorics and representation theory afternoon, Leibniz University of Hannover, Germany.

01/02/2017. McKay bijections for symmetric groups, Algebra Seminar, University of Cambridge, UK.

25/01/2017. Odd degree characters of symmetric groups, Triangle meeting, University of Birmingham, UK.

21-26/11/2016. The McKay Conjecture for symmetric groups (mini-course)Algebra Seminar, University of Valencia.

10/10/2016. Odd degree characters of symmetric groups, Algebra seminar, Vrije Universiteit Brussels, Belgium.

30/08/2016. Foulkes modules and decomposition numbers of S_n, Endo-p-permutation and trivial source modules in the representation theory of finite groups, CIB, Lausanne, Switzerland.

25/06/2016. Odd degree characters of symmetric groups, Norddeutsches Gruppentheorie-Kolloquium, University of Halle, Germany.

21/06/2016. Odd degree characters of symmetric groups, Algebra seminar, University of Padua, Italy.

14/06/2016. Caratteri di grado dispari del gruppo simmetrico, Mini-Workshop di Primavera, University of Milan, Italy.

18/05/2016. McKay bijections for symmetric groups, Algebra Colloquium, University of Eichstatt, Germany.

03/05/2016. Characters of odd degree of symmetric groups, Algebra seminar, University of the Basque Country, Bilbao, Spain.

18-22/10/2015. An Introduction to the representations of symmetric groups (mini-course), Algebra Seminar, University of Valencia.

28/08/2015. On signed Young permutation modules, 70th BLOC meeting on Representation theory of Hecke algebras, City University London, UK.

23/04/2015. R-analytic groups and Hausdorff dimension, Profinite Groups MeetingLancaster University, UK.

14/04/2015. Ordinary and modular structure of Foulkes modules, Algebra Seminar, University of Jena, Germany.

09/04/2015. Relative projectivity for Specht and simple modules of symmetric groups, Workshop on Representation Theory of Finite Groups, Mathematisches Farschungsinstitut Oberwolfach, Germany.

11/03/2015. Relative projectivity for Specht and simple modules of symmetric groups, Mathematical Colloquium, University of Dublin Maynooth, Ireland.

06/11/2014. Vertices of Specht and simple modules for the symmetric group, Algebra Seminar, University of Aberdeen, UK.

04/11/2014. Vertices of Specht and simple modules for the symmetric group, Pure Maths Seminar, Royal Holloway University of London, UK.

18/09/2014. R-analytic groups and Hausdorff dimension, Algebra seminar,  University of Florence, Italy.

08/07/2014. From Foulkes modules to the decomposition matrix of S_n, Oberseminar, University of Stuttgart, Germany.

11/06/2014. Permutation modules and decomposition numbers of S_n, Oberseminar Gruppen und Darstellungen, Technische Universitat Kaiserslautern, Germany.

05/03/2014, R-analytic groups, Algebra seminar, University of the Basque Country, Bilbao, Spain.

15/02/2014. The decomposition matrix of S_n, Algebra Kinder Seminar, University of Cambridge, UK.

14/02/2014. From Foulkes modules to the decomposition matrix of S_n, London Algebra Colloquium, Queen Mary, University of London, UK.

19/11/2013. On the representation theory of S_n, Pure Maths Seminar, University of Kent, Canterbury, UK.

03/10/2013. Foulkes modules and decomposition numbers, Pure Maths Seminar, Royal Holloway University of London (RHUL), UK.

11/08/2012. On the Foulkes’ Conjecture, Grasp Workshop, University of Bristol, UK.

20/04/2012. On a conjecture of Foulkes, Algebra seminar, University of Florence, Italy.

Contributed Talks

23/07/2015. Signed p-Kostka numbers for the symmetric group, Blocks and beyond, conference in honour of the 60th Birthday of Burkhard Külshammer, University of Jena, Germany.

16/07/2014. Vertices of simple modules for the symmetric group, Workshop on representations of Symmetric groups, Hecke algebras and KLR algebras , University of Birmingham, UK.

05/09/2013. On the decomposition numbers of the symmetric groups, Conference on Brauer Problems – 50 years on, University of Manchester (UoM), UK.

18/07/2013. The decomposition matrix of S_n, Postgraduate Group Theory Conference, University of Manchester, UK.

22/06/2012. On the decomposition of the Foulkes module, Young Algebraists Conference, EPFL Lausanne, Switzerland.

14/03/2012. On a conjecture of Foulkes, PhD seminar, RHUL, UK.