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- Classes for the academic year 2015-16 commence on September 7.
- I am the vice-dean for Promotion of STEM in the College of Science at NUI Galway. Activities coming up soon include the Open Day in October and the Galway Science and Technology Festival in November.
- 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.
- This site was last updated on September 8 2015.

**MA343 Group Theory I**

Electronic resources for this course will be available here, on the NUI Galway Blackboard system.**MA500-1 Advanced Linear Algebra (Graduate course)**

The website for this course is here.

**MA180/190 Calculus**

Electronic resources for this course are available at this dedicated website, and on Blackboard.**MA134/MA102 Ailgéabar**

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 a dtugtar ar an leagan Béarla). Tá acmhainní don chúrsa seo ar fáil anseo, ar córas Blackboard OÉ Gaillimh.

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

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

My former PhD students are Kirsten Pfeiffer (PhD 2011) and James McTigue (PhD 2015).

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 Tuesday, September 08

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 Tuesday, September 08