Dr Rachel Quinlan

School of Mathematics, Statistics and Applied Mathematics


Phone: +353 91 493796
Office: Room G-007, Áras de Brún (Ground Floor)
Fax: +353 91 525700
e-mail: rachel.quinlan@nuigalway.ie


Courses 2021-2022

Semester 1

Semester 2

Research Interests

My research interests are generally in the area of algebra, especially linear algebra and its interactions with group theory, combinatorics, and field theory. I have a particular interest in linear and affine spaces of matrices that have special properties relating to rank. I am also interested in the ordinary and projective representation theory of finite groups and in group rings. My PhD thesis, completed in 2000 at the University of Alberta, was concerned with the classification of irreducible projective representations of finite groups over fields, using the group ring of a generic central extension.
I am also interested in mathematics education research at university level.
I am currently supervising the research of two PhD students at NUI Galway, Malak Almutairi and Dana Saleh.
My former PhD students are Kirsten Pfeiffer (PhD 2011), James McTigue (PhD 2015), Olga O'Mahony (PhD 2018), Hieu Ha Van (PhD 2019), and Cian O'Brien (PhD 2020).
I was a co-organiser of the 3rd Irish Symposium on Undergraduate Mathematics Education, the 6th de Brun workshop on Linear Algebra and Matrix Theory, and of the Groups in Galway conferences in 2006, 2007, 2008 and 2010.

Selected Publications and Preprints

Other Interests

I am involved in the running of a Mathematics Enrichment Programme for interested second level students at NUI Galway, and in Ireland's participation in the International Mathematical Olympiad (IMO). I was Ireland's leader at the 2006 IMO in Slovenia. My report on the 2006 IMO is available here.
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.