Padraig O Cathain

Assistant Professor

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.

pocathain@wpi.edu

Office Location

Stratton Hall 202B

Personal Website

Research Interests

Research Interests:

Combinatorics

Algebra

Compressed sensing

Applications to communications

Scholarly Work

P. Ó Catháin. Difference sets and doubly transitive actions on Hadamard matrices, Journal of Combinatorial Theory, Series A, 119, 6, pp. 1235—1249. - 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, M. Roder. The cocyclic Hadamard matrices of order less than 40. Designs Codes and Cryptography, 58, 1, pp. 73—88. - 2012

P. Ó Catháin, I. Wanless. Trades in complex Hadamard matrices. Algebraic Design Theory with Hadamard matrices, Springer Proceedings in Mathematics, pp. 213—221. - 2015

Petteri Kaski, Matti Karppa, Jukka Kohonen, P. Ó Catháin. Explicit Correlation Amplifiers for finding outlier correlations in subquadratic time. European Symposium on Algorithms, 2016. - 2016