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Mathematics, Statistics & Applied Mathematics

Dr Rachel Quinlan

MSc, PhD

Contact Details

Senior Lecturer
------------------------
Room ADB-G007
Áras De Brún
School of Mathematics, Statistics and Applied Mathematics

T: Ext. 3796
E: rachel.quinlan@nuigalway.ie
W: http://maths.nuigalway.ie/~rquinlan/
 
researcher

Biography

Rachel Quinlan graduated from University College Galway with a B.Sc. (1993) and M.Sc. (1994) in Mathematical Sciences. She completed a Ph.D. in Mathematics at the University of Alberta in 2000. From 2000 until 2005 she worked as a postdoctoral researcher and as a lecturer in University College Dublin. She joined the academic staff of NUI Galway in September 2005.
Dr Quinlan's research interests are mostly in the area of algebra, including group theory and the representation theory of finite groups. Recently her main focus of attention has been on combinatorial aspects of linear algebra. She also maintains research activities in the area of Mathematics Education at university level.  

Peer Reviewed Journals

  Year Publication
(2014) 'Partial matrices of constant rank'
McTigue, J,Quinlan, R (2014) 'Partial matrices of constant rank'. Linear Algebra And Its Applications, 446 :177-191 [DOI] [Details]
(2014) 'Unitary groups over local rings'
Cruickshank, J,Herman, A,Quinlan, R,Szechtman, F (2014) 'Unitary groups over local rings'. Journal Of Algebra And Its Applications, 13 [DOI] [Details]
(2013) 'Partial matrices whose completions all have the same rank'
McTigue, J,Quinlan, R (2013) 'Partial matrices whose completions all have the same rank'. Linear Algebra And Its Applications, 438 :348-360 [DOI] [Details]
(2011) 'Partial matrices whose completions have ranks bounded below'
McTigue, J,Quinlan, R (2011) 'Partial matrices whose completions have ranks bounded below'. Linear Algebra And Its Applications, 435 :2259-2271 [DOI] [Details]
(2011) 'Spaces of matrices without non-zero eigenvalues in their field of definition, and a question of Szechtman'
Quinlan, R. (2011) 'Spaces of matrices without non-zero eigenvalues in their field of definition, and a question of Szechtman'. Linear Algebra And Its Applications, 434 (6):1580-1587 [DOI] [Details]
(2010) '“Guessing at our mental models” or “committed knowing acts” - what are our students doing?'
Quinlan, R. (2010) '“Guessing at our mental models” or “committed knowing acts” - what are our students doing?'. Bulletin of the Irish Mathematical Society, 66 :73-85 [Details]
(2009) 'Galois extensions and subspaces of alternating bilinear forms with special rank properties'
Gow, Rod and Quinlan, Rachel (2009) 'Galois extensions and subspaces of alternating bilinear forms with special rank properties'. Linear Algebra And Its Applications, 430 (8-9):2212-2224 [Details]
(2009) 'Galois theory and linear algebra'
R. Gow, R. Quinlan (2009) 'Galois theory and linear algebra'. Linear Algebra And Its Applications, 430 (7):1778-1789 [Details]
(2006) 'Covering groups of rank 1 of elementary Abelian groups'
Gow, R,Quinlan, R (2006) 'Covering groups of rank 1 of elementary Abelian groups'. Communications In Algebra, 34 :1419-1433 [DOI] [Details]
(2006) 'On the vanishing of subspaces of alternating bilinear forms'
Gow, Rod and Quinlan, Rachel (2006) 'On the vanishing of subspaces of alternating bilinear forms'. Linear Algebra And Its Applications, 54 (6):415-428 [Details]
(2006) 'On central difference sets in certain non-abelian 2-groups'
Gow, R,Quinlan, R (2006) 'On central difference sets in certain non-abelian 2-groups'. Journal Of Combinatorial Theory Series A, 113 :712-717 [DOI] [Details]
(2004) 'Real elements and real-valued characters of covering groups of elementary abelian 2-groups'
Quinlan, R. (2004) 'Real elements and real-valued characters of covering groups of elementary abelian 2-groups'. Journal of Algebra, 275 (1):191-211 [Details]
(2003) 'Twisted group rings of metacyclic groups'
Quinlan, R. (2003) 'Twisted group rings of metacyclic groups'. Representation Theory, 7 :214-226 [Details]
(2001) 'Generic central extensions and projective representations of finite groups'
Quinlan, R. (2001) 'Generic central extensions and projective representations of finite groups'. Representation Theory, 5 :214-226 [Details]

Conference Publications

  Year Publication
(2013) MEI5: Mathematics Education - Crossing Boundaries
Kirsten Pfeiffer and Rachel Quinlan (2013) A proof evaluation exercise in an introductory linear algebra course MEI5: Mathematics Education - Crossing Boundaries St Patrick's College, Drumcondra, [Details]
(2011) Proccedings of the 4th National Conference on Reserach in Mathematics Education, MEI4
Rachel Quinlan (2011) Acts of knowing in university mathematics curricula Proccedings of the 4th National Conference on Reserach in Mathematics Education, MEI4 St Patrick's College Drumcondra, [Details]
(2009) Proceedings of the 3rd National Conference on Research in Mathematics Educaiton, MEI 3
Quinlan, R. (2009) What makes mathematics attractive at university? Proceedings of the 3rd National Conference on Research in Mathematics Educaiton, MEI 3 , pp.423-434 [Details]

Modules Taught

  Term/Year Module Title Module Code Subject / Desc
2013-2014 Undergraduate Ambassador Module in Mathematics MA435 A service learning module in which students spend a number of weeks working in a second level school, assisting in the teaching and learning of mathematics and completing a special project.
Semester 1/2013 Calcalas MA102 Bunchursa sa Chalcalas tri mhean na Gaeilge
Semester 1/2013 Group Theory 1 MA343 A comprehensive introduction to group theory in 24 lectures.