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Fáilte go dtí mo shuíomh idirlín. Ó thús mí Iúil 2025, tá mé fostaithe mar Anailísí Taighde le hÚdarás na Gaeltachta, an eagraíocht stáit atá cúraim ar leith aige ó thaobh caomhnú agus forbairt na Gaeilge sa Ghaeltacht. Roimhe fostaíodh mé mar léachtóir le matamaitic & gnó i bhFiontar agus Scoil na Gaeilge in Ollscoil Chathair Bhaile Átha Cliath, agus mar léachtóir le matamaitic in Worcester Polytechnic Institute in Massachusetts sna Stáit Aontaithe. Chaith mé seal roimhe sin mar thaighdeoir iardhoctúra in Aalto University san Fhionlainn agus in Monash University agus University of Queensland san Astráil. Tá spéis ar leith agam sa mhatamaitic agus ar bhealaí chun í a chur ag feidhmiú ar mhaitheas an sochaí agus an Ghaeilge; cuimsíonn seo modhanna cainníochta sa taighde agus an intleacht shaorga i measc rudaí eile.

Welcome to my webpage. Since July 2025, I have been employed as a Research Analyst with Údarás na Gaeltachta, the Irish state body tasked with the preservation and development of the Gaeltacht (Irish-language-speaking regions, mostly on the west coast of Ireland). Before that, I was employed as a lecturer in mathematics and business in Fiontar agus Scoil na Gaeilge at Dublin City University and as a (tenure-track) assistant professor at Worcester Polytechnic Institute in Massachusetts, USA. I spent time as a postdoc at the University of Queensland and at Monash University in Australia and at Aalto University in Finland. I have an interest in pure mathematics, as well as in ways in which mathematics, quantitative methods and artificial intelligence can be used to further the development of the Gaeltacht and the Irish language. 

Email:      p.ocathain@udaras.ie         (work)

                   p.ocathain@gmail.com    (personal)

I maintain my interest in pure mathematics, particularly algebraic design theory and the interactions between algebra and combinatorics therein. I am interested in applying cohomological and computational methods to problems relating to existence of real and complex Hadamard matrices, finite geometries and error correcting codes. More recently, I have become interested in big data and artificial intelligence and their potential applications at third level and beyond. I am a member of the steering committee of the Irish Mathematical Society, and a proud awardee of the Kirkman medal of the Institute of Combinatorics and its Applications (pictured below). My publications, teaching and other activities will working in academia are linked on the left hand side. Feel free to contact me by email about topics in these general areas.