Home

Fiontar agus Scoil na Gaeilge,

Dublin City University,

All Hallows Campus,

Grace Park Road,

Drumcondra,

Dublin,

Ireland.

Email: padraig.ocathain@dcu.ie (work)

p.ocathain@gmail.com (personal)

Fáilte go mo shuíomh idirlíne! Ó thus na bliana 2022, is léachtóir mé i Fiontar in Ollscoil Chathair Bhaile Átha Cliath. Roimhe sin, bhí mé ag obair san Astráil, san Fhionlainn agus i Meiriceá ag muineadh agus ag déanamh taighde sa mhatamataic. Ná bíodh moill ort roimh phoist a seoladh chugam má tá ceist ar bith - glacaim le ríomhphoist i mBéarla agus i nGaeilge.

Welcome to my webpage. Since January 2022, I am a lecturer in the School of Enterprise and Irish at Dublin City University. The Irish language is the primary mode of communication within the school, which offers degree programmes in subjects including Business, Education and the Arts.

I graduated from the University of Galway in 2012 with a PhD in mathematics, in algebraic combinatorics studying group actions on Hadamard matrices and related topics. I spent the following ten years abroad: I worked as a postdoc at the University of Queensland and Monash University from 2012 to 2015. Under the supervision of Prof Darryn Bryant and Dr Daniel Horsley, I investigated applications of design theory to compressed sensing (a new approach to signal processing). For the year 2015-16, I was at Aalto University working with Prof Petteri Kaski in the Department of Computer Science and Prof Camilla Hollanti in the Department of Mathematics. We worked on the complexity of certain nearest neighbour problems and applications of combinatorics to private communication. In the period 2016-21, I was an assistant professor at Worcester Polytechnic Institute, where I taught a range of courses in discrete mathematics and algebra from early undergraduate through to advanced postgraduate level. I was awarded the 2015 Kirkman Medal of the Institute of Combinatorics and its Applications at the CanaDAM conference held in Toronto in June 2017.

Here are some links to recorded lectures I've given (which hopefully give an idea of my research interests). Links down the left hand side give a fuller picture of publications, teaching and etc.

A presentation on the Hadamard maximal determinant problem in Krakow in July 2022

A presentation at the Banff Research Center in 2014

An informal talk on JJ Sylvester at the Laboratory in Melbourne

(This last talk has recently featured on Twitter @Irishmathsfacts.)