Dr Thomas McDonough MSc (NUI), D Phil (Oxon)

Emeritus Professor

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Department of Mathematics

Profile

Studied: University College Galway 1960-64, (B.Sc., M.Sc.), University of Oxford 1965-1968, (Dip.Adv.Math.,D.Phil.),

Membership of Academic and Professional Societies; L.M.S., I.M.S., H.E.A.

Area of Expertise: Representations of Hecke Algebras; Permutation Groups and Automorphism Groups of Finite Geometries.

Areas of Interest: Error Correcting Codes, Symmetric and Quasi-Symmetric Designs.

Academic Positions: University College Galway 1964-1965, University of Warwick 1968-1969, Aberystwyth University 1969- .

Research interests

The codes of various affine and projective geometries, their duals and other related codes with particular reference to the existence and construction of permutation decoding sets for these codes and the determination of appropriate related information sets.

The construction and characterisation of various quasi-symmetric designs, and the investigation of certain affine designs, mutually orthogonal frequency squares and hypercubes.

Aspects of the representations of Hecke algebras of type A and the corresponding symmetric groups.