Staff Profiles

Dr Rachel Quinlan

MSc, PhD

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 current research interests are generally in the area of algebra, especially linear algebra and its interactions with group theory, combinatorics, and field theory. Her research background is in group theory, particularly the ordinary and projective representation theory of finite groups.
She also maintains research activities in the area of Mathematics Education at university level.
She is the current Head of the School of Mathematics, Statistics and Applied Mathematics (from February 2017).

Peer Reviewed Journals

	Year	Publication
	(2020)	'Alternating signed bipartite graphs and difference-1 colourings' O'Brien, C;Jennings, K;Quinlan, R (2020) 'Alternating signed bipartite graphs and difference-1 colourings'. Linear Algebra And Its Applications, 604 :370-398 [DOI] [Details]
	(2020)	'Alternating signed bipartite graphs and difference-1 colourings' O'Brien, C,Jennings, K,Quinlan, R (2020) 'Alternating signed bipartite graphs and difference-1 colourings'. Linear Algebra And Its Applications, 604 :370-398 [DOI] [Details]
	(2019)	'Exponent-critical primitive graphs and the Kronecker product' O'Mahony, O;Quinlan, R (2019) 'Exponent-critical primitive graphs and the Kronecker product'. Electronic Journal Of Graph Theory And Applications, 7 :329-347 [DOI] [Details]
	(2019)	'Almost-nonsingular entry pattern matrices' Van, HH;Quinlan, R (2019) 'Almost-nonsingular entry pattern matrices'. Linear Algebra And Its Applications, 578 :334-355 [DOI] [Details]
	(2019)	'Exponent-critical primitive graphs and the Kronecker product' O'Mahony, O,Quinlan, R (2019) 'Exponent-critical primitive graphs and the Kronecker product'. Electronic Journal Of Graph Theory And Applications, 7 :329-347 [DOI] [Details]
	(2019)	'Almost-nonsingular entry pattern matrices' Van, HH,Quinlan, R (2019) 'Almost-nonsingular entry pattern matrices'. Linear Algebra And Its Applications, 578 :334-355 [DOI] [Details]
	(2009)	'Galois extensions and subspaces of alternating bilinear forms with special rank properties' Gow, R;Quinlan, R (2009) 'Galois extensions and subspaces of alternating bilinear forms with special rank properties'. Linear Algebra And Its Applications, 430 :2212-2224 [DOI] [Details]
	(2013)	'A proof evaluation exercise in an elementary linear algebra course' Pfeiffer, K., Quinlan, R. (2013) 'A proof evaluation exercise in an elementary linear algebra course'. Proceedings of the 5th National Conference on Research in Mathematics and Education, [Details]
	(2016)	'Proof evaluation tasks as tools for teaching?' Pfeiffer, K., Quinlan, R. (2016) 'Proof evaluation tasks as tools for teaching?'. Proceedings of the 9th Congress of the European Society for Research in Mathematics Education (CERME 9), [Details]
	(2018)	'Hermitian and skew hermitian forms over local rings' Cruickshank, J,Quinlan, R,Szechtman, F (2018) 'Hermitian and skew hermitian forms over local rings'. Linear Algebra And Its Applications, 551 :147-161 [DOI] [Details]
	(2018)	'Edge-minimal graphs of exponent 2' O'Mahony, O,Quinlan, R (2018) 'Edge-minimal graphs of exponent 2'. Linear Algebra And Its Applications, 542 :66-83 [DOI] [Details]
	(2017)	'On the maximum rank of completions of entry pattern matrices' Hieu Ha Van and Rachel Quinlan (2017) 'On the maximum rank of completions of entry pattern matrices'. Linear Algebra And Its Applications, [Details]
	(2017)	'Edge-minimal graphs of exponent 2' Olga O'Mahony and Rachel Quinlan (2017) 'Edge-minimal graphs of exponent 2'. Linear Algebra And Its Applications, [Details]
	(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]

Book Chapters

	Year	Publication
	(2015)	'Proof-Evaluation as a Step towards Proof Authorship' Pfeiffer, K., Quinlan, R. (2015) 'Proof-Evaluation as a Step towards Proof Authorship' In: Beyond Lecture: Techniques to Improve Student Proof-Writing Across the Curriculum. Washington D.C: Mathematical Association of America. [Details]
	(2016)	'Proof-evaluation as a step towards proof authorship' K. Pfeiffer and R.Quinlan (2016) 'Proof-evaluation as a step towards proof authorship' In: Beyond Lecture: Resources and Pedagogical Techniques for Enhancing the Teaching of Proof-Writing Across the Curriculum. Washinigton D.C: Mathematical Association of America. [Details]

Conference Publications

	Year	Publication
	(2015)	*Proof evaluation tasks as tools for teaching?* Pfeiffer, K,Quinlan, R,Krainer, K,Vondrova, N (2015) PROCEEDINGS OF THE NINTH CONFERENCE OF THE EUROPEAN SOCIETY FOR RESEARCH IN MATHEMATICS EDUCATION (CERME9) Proof evaluation tasks as tools for teaching? , pp.178-184 [Details]
	(2015)	*PROCEEDINGS OF THE NINTH CONFERENCE OF THE EUROPEAN SOCIETY FOR RESEARCH IN MATHEMATICS EDUCATION (CERME9)* Pfeiffer, K;Quinlan, R (2015) Proof evaluation tasks as tools for teaching? PROCEEDINGS OF THE NINTH CONFERENCE OF THE EUROPEAN SOCIETY FOR RESEARCH IN MATHEMATICS EDUCATION (CERME9) , pp.178-184 [Details]
	(2015)	*9th Congress on European Research in Mathematics Education* Kirsten Pfeiffer and Rachel Quinlan (2015) Proof evaluation tasks as tools for teaching? . In: Konrad Krainer, Nada Vondrova eds. 9th Congress on European Research in Mathematics Education Prague, , 04-FEB-15 - 08-FEB-15 , pp.178-184 [Details]
	(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]

Conference Contributions

	Year	Publication
	(2019)	International Linear Algebra Society 2019, Rachel Quinlan (2019) International Conference. [Invited Oral Presentation], International Linear Algebra Society 2019, Rio de Janeiro , 08-JUL-19 - 12-JUL-19. [Details]