Liam Naughton

Contact details

School of Mathematics, Statistics and Applied Mathematics
National University of Ireland, Galway
University Road, Galway, Ireland

Office: 102A, Riverside Terrapin
E-mail: liam.naughton (at) nuigalway.ie
Phone: +353-(0)91-495004.
 

About Me

I am a contract lecturer in the School of maths at NUI, Galway. I am also the coordinator of the mathematics support centre SUMS. before that, I was a postdoctoral researcher at NUI, Galway on the SFI funded project "Computing Subgroups of Finite Groups".

Teaching

I taught the following courses in Semester 1 2011/2012. I am teaching the following course in Semester 2 2011/2012.

Research

My research interests lie in Computational Group theory. I am interested in the table of marks of a finite group and its associated Burnside Ring. My PhD thesis involved developing and implementing new algorithms for the computation of the table of marks of a finite group. I am also a maintainer of the GAP table of marks library Tomlib.

Publications

  1. Computing the Table of Marks of a Cyclic Extensions, with G. Pfeiffer, accepted.
  2. Integer Sequences related to the Subgroup pattern of the Symmetric Group, with G. Pfeiffer, preprint.
Theses
  1. Computing the Table of Marks of a Finite Group, PhD Thesis NUI Galway 2010.
  2. The Subgroups of the Symmetric Group on Thirteen Points, MSc Thesis NUI Galway 2006.

Software
  1. Tomlib, The GAP Table of Marks Library Version 1.2.1 2011.
  2. Comptom, A Collection of programs to compute the Table of Marks of A Cyclic Extension.