**Warning:** Your browser doesn't support all of the features in this Web site. Please view our accessibility page for more details.

- I'm just back from the 19th conference of the International Linear Algebra Society in Seoul.
- I'll be attending the 2nd Irish Linear Algebra and Matrix Theory Meeting and the 2014 September meeting of the Irish Mathematical Society.
- Classes for the academic year 2014-15 will commence on September 8.
- I am the vice-dean for Promotion of Science in the College of Science at NUI Galway. Activties coming up soon include the Open Day in October.
- You can find an archive of lecture notes from courses that I've taught over the years here.
- You can find slides from some conference talks and seminars that I've given in the last few years here.
- First year Mathematics and Education students: you can find the relevant extract from
*Proofs and Refutations*here. - This site was last updated on September 15 2014.

**MA134/MA106 Calcalas**

Tá an modúl se ar fáil do mhic léinn i gColáiste na hEolaíochta agus Coláiste na nDán, na nEolaíochtaí Sóisialta, agus an Léinn Cheiltigh. Is leagan Gaeilge den chúrsa onóracha sa Mhatamaitic sa chéad bhlian atá i gceist (MA180 san Eolaíocht nó MA133 sa Dán). Tá acmhainní don chúrsa seo ar fáil anseo, ar córas Blackboard OÉ Gaillimh.**MA343 Group Theory I**

Electronic resources for this course will be available here, on the NUI Galway Blackboard system.**MA435 Undergraduate Ambassador Module in Mathematics**

The website for this course is here.

**MA180/190 Calcalas**

Electronic resources for this course are available at this dedicated website, and on Blackboard.**MA335 Algebraic Structures**

Electronic resources for this course will be available here, on the NUI Galway Blackboard system.

I am also interested in mathematics education research at university level.

I am currently supervising the research of two PhD students at NUI Galway, James McTigue and Olga O'Mahony.

My former PhD student Kirsten Pfeiffer defended her thesis in April 2011.

I was a co-organiser of the 3rd Irish Symposium on Undergraduate Mathematics Education, the 6th de Brun workshop on

- J. McTigue and R. Quinlan, Partial matrices of constant rank,
*Linear Algebra and its Applications*, 2014. - J. Cruickshank, A. Herman, R. Quinlan, F. Szechtman, Unitary groups over local rings,
*Journal of Algebra and its Applications*, Vol. 13, Issue 02, 2014 - J. McTigue and R. Quinlan,
Partial matrices whose completions all have the same rank,
*Linear Algebra and its Applications*, Vol 438, no. 1, pages 348--360 (2013). - K. Pfeiffer and R. Quinlan, A proof evaluation exercise in an elementary linear algebra course, Proceedings of the Fifth National Conference on Research in Mathematics Education, St Patrick's College Drumcondra, 2013.
- J. McTigue and R. Quinlan,
Partial matrices whose completions have ranks bounded below,
*Linear Algebra and its Applications*, Vol 435, no. 9, pages 2259-2271 (2011). - R. Quinlan,
Spaces
of matrices without non-zero eigenvalues in their field of definition,
and a question of Szechtman,
*Linear Algebra and its Applications*, Vol. 434, no. 6, pages 1580-1587 (2011) - R. Quinlan, Acts of knowing in university mathematics curricula, Proceedings of the Fourth National Conference on Research in Mathematics Education, St Patrick's College Drumcondra, 2011.
- R. Quinlan,
'Guessing at our mental models' or 'committed knowing acts' - what are
our students doing?,
*Bulletin of the Irish Mathematical Society*, no. 66 (2010) - R. Quinlan, What makes mathematics attractive at university?, Proceedings of the Third National Conference on Research in Mathematics Education, St Patrick's College Drumcondra, 2009.
- R. Gow and R. Quinlan,
Galois extensions and subspaces of alternating bilinear forms with
special rank properties,
*Linear Algebra and its Applications*, Vol. 430, Issues 8-9, 2009. -
R. Gow and R. Quinlan,
Galois
theory and linear algebra,
*Linear Algebra and its Applications*, Vol. 430, Issue 7, 2009. - R. Gow and R. Quinlan,
On the vanishing of subspaces of alternating bilinear forms,
*Linear and Multilinear Algebra*, Vol. 54, no. 6, 2006 - R. Gow and R. Quinlan,
Covering groups of rank 1 of elementary
abelian groups,
*Communications in Algebra*, Vol 34, no. 4, 2006. abstract - R. Gow and R. Quinlan,
On central difference sets in certain non-abelian 2-groups,
*J. Combin. Theory Ser. A*, Vol 113, no. 4, 2006. - R. Quinlan,
Real elements and
real-valued characters of covering
groups of elementary abelian 2-groups,
*Journal of Algebra*, Vol 275, no. 1, 2004. abstract - R. Quinlan,
Twisted group rings of metacyclic groups,
*Representation Theory*, Vol. 7, 2003 - R. Quinlan,
Generic central extensions and projective
representations of finite groups,
*Representation Theory*, Vol. 5, 2001. - R. Quinlan, Irreducible Projective Representations of Finite Groups, PhD thesis, University of Alberta, 2000.

I am a member of the Irish Mathematical Society, the American Mathematical Society, the Mathematical Association of America, the International Linear Algebra Society , and the British Society for Research into the Learning of Mathematics.

School of Mathematics, Statistics and Applied Mathematics

National University of Ireland, Galway, University Road, Galway, Ireland.

Phone: +353 (0)91 492332 (direct) , +353 (0)91 524411 x2332 (switchboard)

Fax: +353 (0)91 494542 Email: Mary.Kelly@nuigalway.ie

This page was last updated Monday, September 15

National University of Ireland, Galway, University Road, Galway, Ireland.

Phone: +353 (0)91 492332 (direct) , +353 (0)91 524411 x2332 (switchboard)

Fax: +353 (0)91 494542 Email: Mary.Kelly@nuigalway.ie

This page was last updated Monday, September 15