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Dr Rachel Quinlan

Phone: +353 91 493796
Office: Room 105, Áras de Brún (Ground Floor)
Fax: +353 91 525700
e-mail: rachel.quinlan@nuigalway.ie

News

• Lectures start on September 7 2009.

Courses 2009-10

Semester 1

• Ring Theory (MA416/MA538) Click here for the course website.
• Discrete Mathematics I (MA 522): Graph Theory for M.A./M.Sc. students. Click here for the course website.
• Algebra (MA183) for 1st year honours students. Electronic resources for this course are available here on the NUI Galway Blackboard server.

Semester 2

• Linear Algebra (MA203)
• Mathematics (general) for 1st Science students
• Undergraduate Ambassador Module

Research Interests

My research interests are generally in the area of algebra, especially the ordinary and projective representation theory of finite groups. I am interested in interactions between group theory, combinatorics, finite fields and linear algebra.
I am also interested in mathematics education research at university level.
I was a co-organiser of the 3rd Irish Symposium on Undergraduate Mathematics Education, and of the Groups in Galway conferences in 2006, 2007 and 2008.

Selected Publications and Preprints

• R. Gow and R. Quinlan, Galois extensions and subspaces of altenating 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.

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, and the British Society for Research into the Learning of Mathematics.

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