Research

Most of my pure mathematics research is on group algebras and their application to coding theory.  For an introduction to group algebras see the lecture notes of a postgraduate course I delivered at NUI Galway in 2004:  Group Algebras Lecture Notes.  You can also read my Ph.D. Thesis or the publications listed below. 

I am currently supervising PhD students in coding theory and group algebras as well as PhD students in biomedical engineering and mathematical biology.

I have presented at over 40 scientific conferences in Europe and North and South America. I am also manager of IT Sligo’s Mathematical Modelling Research Group.

 

Selected Publications:

Balogh Z, Creedon L, Gildea J, Involutions and Unitary Subgroups in Group Algebras. Acta Scientiarum Mathematicarum (Szeged) 79 (2013) 391-400.

O’Toole J, Creedon L, Hession J, Muir G, Hyperbolic Source Location of Crack Related Acoustic Emission in Bone, Journal of Biomechanical Engineering, Volume 135, Issue 1 (2013), (9 pages).

O’Toole J, Creedon L, Hession J, Muir G, Acoustic Emission Source Localisation on Bone using Multiple Regression. International Journal of Nano and Biomaterials, Vol. 4, No. 2, (2012), 128-147.

L. Creedon and J. Gildea, The structure of the Unit Group of the Group Algebra , Canadian Mathematical Bulletin, 54 (2011), 237-243

L. Creedon and J. Gildea, Unitary Units of The Group Algebra F2k Q8, International Journal of Algebra and Computation 19 (2) (2009), 283-286.

L. Creedon,  The Unit Group of Small Group Algebras and the Minimum Counterexample to the Isomorphism Problem, International Journal of Pure and Applied Mathematics, 49 (4), (2008), 531-537.

L. Creedon and J. Gildea,  The structure of the Unit Group of the Group Algebra U(F3k D6), International Journal of Pure and Applied Mathematics, 45 (2), (2008), 315-320.

L. Creedon, Creators of Mathematics: The Irish Connection in Ken Houston (ed.) (UCD Press 2000), pp. 21-26. [book chapter]

 

 

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