Padraig O Cathain
Assistant Professor
Mathematical Sciences
Worcester Polytechnic Institute
United States of America
Biography
Education: PhD Mathematics National University of Ireland, Galway 2012 M Litt Mathematics National University of Ireland, Galway 2008 BA Mathematics National University of Ireland, Galway with Honors 2007 My research interests are in combinatorics, algebra and their applications to real world problems. I am particularly interested in symmetric designs, Hadamard matrices and difference sets. I have applied these methods to problems in compressed sensing and communications engineering. In teaching, I hope to communicate to students the rigor and beauty of pure mathematics as well as its applicability to real world problems.
Research Interest
Combinatorics; Algebra; Compressed sensing; Applications to communications
Publications
-
P. Ó Catháin, M. Roder. The cocyclic Hadamard matrices of order less than 40. Designs Codes and Cryptography, 58, 1, pp. 73—88. - 2012
-
D. Bryant, P. Ó Catháin. An asymptotic result on compressed sensing matrices, Linear Algebra and its Applications, 475, pp. 134—150. - 2015
-
P. Ó Catháin. Difference sets and doubly transitive actions on Hadamard matrices, Journal of Combinatorial Theory, Series A, 119, 6, pp. 1235—1249. - 2012
