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Mathematical and Statistical Sciences

Prof Aisling McCluskey

BSc, DPhil

Contact Details

Personal Professor in Mathematics
School of Mathematical and Statistical Sciences
Áras de Brún
T: 091493162
E: aisling.mccluskey@universityofgalway.ie
 
researcher
 

Biography

I graduated with a PhD in Mathematics from Queens University Belfast in 1990, moving to a  postdoctoral position in Toronto before appointment as lecturer in mathematics at NUI Galway in 1992. Since then, I have enjoyed a meaningful and rewarding academic career at NUI Galway, maintaining an active research profile whilst holding the teaching and learning of mathematics central to my academic endeavour. I have enjoyed numerous international visiting researcher positions, and in like kind have hosted many eminent researchers at NUI Galway.  I have received institutional and national awards for excellence in teaching.  My best work and my greatest impact are in working directly with students through research-led teaching, mentoring and inspiring. Beyond contribution to the field itself,  my research in mathematics provides both fulfillment and effectiveness in this pursuit  

Peer Reviewed Journals

  Year Publication
(2021) 'Convexity in topological betweenness structures'
Anderson, D., Bankston, P., McCluskey, A. (2021) 'Convexity in topological betweenness structures'. Topology And Its Applications, [Details]
(2020) 'Topological transitivity in quasi-continuous dynamical systems'
Cao, J., McCluskey, A. (2020) 'Topological transitivity in quasi-continuous dynamical systems'. Topology And Its Applications, [Details]
(2018) 'Semicontinuity of betweenness functions'
Bankston, P,McCluskey, A,Smith, RJ (2018) 'Semicontinuity of betweenness functions'. Topology And Its Applications, 246 :22-47 [DOI] [Details]
(2017) 'Betweenness Relations in a Categorical Setting'
Bruno, J,McCluskey, A,Szeptycki, P (2017) 'Betweenness Relations in a Categorical Setting'. Results In Mathematics, 72 :649-664 [DOI] [Details]
(2016) 'Continuous functions on Hausdorff continua'
Greenwood, S,McCluskey, A (2016) 'Continuous functions on Hausdorff continua'. Topology And Its Applications, 212 :142-165 [DOI] [Details]
(2015) 'On faint continuity'
Mccluskey, AE,Reilly, IL (2015) 'On faint continuity'. Applied General Topology, 16 :45-52 [DOI] [Details]
(2014) 'A year of engaging with the discipline of noticing: five mathematics lecturers' reflections'
Breen, S,McCluskey, A,Meehan, M,O'Donovan, J,O'Shea, A (2014) 'A year of engaging with the discipline of noticing: five mathematics lecturers' reflections'. Teaching in Higher Education, 19 :289-300 [DOI] [Details]
(2013) 'On almost z-supercontinuity'
Bayhan, S;Kanibir, A;McCluskey, A;Reilly, IL (2013) 'On almost z-supercontinuity'. Filomat, 27 :965-969 [DOI] [Details]
(2013) 'Topologies as points within a Stone space: lattice theory meets topology'
Bruno, Jorge L. and McCluskey, Aisling E. (2013) 'Topologies as points within a Stone space: lattice theory meets topology'. Topology And Its Applications, 160 (2):273-279 [DOI] [Details]
(2012) 'Topologies on $X$ as points within $2^\scrP(X)$'
Bruno, Jorge L. and McCluskey, Aisling E. (2012) 'Topologies on $X$ as points within $2^\scrP(X)$'. Topology Appl, 159 (13):3027-3032 [DOI] [Details]
(2010) 'Mathematics in Society - a power for change'
McCluskey, A.E. (2010) 'Mathematics in Society - a power for change'. Bulletin Of The Irish Mathematics Society, 66 :65-72 [Details]
(2009) 'P(R), ordered by homeomorphic embeddability, does not represent all posets of cardinality 2(c)'
Knight, R. W.,McCluskey, A. E. (2009) 'P(R), ordered by homeomorphic embeddability, does not represent all posets of cardinality 2(c)'. Topology and Its Applications, 156 (1111):1943-1945 [Details]
(2008) 'Ordered separation axioms and the Wallman ordered compactification'
K\"unzi, Hans-Peter A. and McCluskey, Aisling E. and Richmond, Thomas A. (2008) 'Ordered separation axioms and the Wallman ordered compactification'. Publ. Math. Debrecen, 73 (3-4):361-377 [Details]
(2007) 'The propositional theory of closure'
McCluskey, AE;McIntyre, DW;Watson, WS (2007) 'The propositional theory of closure'. Experimental Mathematics, 16 :501-512 [Details]
(2003) 'An elementary counterexample on dense normality'
McCluskey, AE,McMaster, TBM (2003) 'An elementary counterexample on dense normality'. Topology And Its Applications, 130 :87-90 [DOI] [Details]
(2002) 'Minimal TUD spaces'
McCluskey, AE and Watson, WS (2002) 'Minimal TUD spaces'. Applied general topology, 3 (1):55-64 [Details]
(2000) 'Antichains in the powerset of R: realisation through induction'
McCluskey, A.E., McMaster, T.B.M. (2000) 'Antichains in the powerset of R: realisation through induction'. Math. Proc. R. Ir. Acad, 100A (2):183-188 [Details]
(1999) 'Realizing quasiordered sets by subspaces of 'continuum-like' spaces'
McCluskey, AE;McMaster, TBM (1999) 'Realizing quasiordered sets by subspaces of 'continuum-like' spaces'. Order-A Journal On The Theory Of Ordered Sets And Its Applications, 15 :143-149 [Details]
(1999) 'Representing set-inclusion by embeddability (among the subspaces of the real line)'
McCluskey, AE,McMaster, TBM,Watson, WS (1999) 'Representing set-inclusion by embeddability (among the subspaces of the real line)'. Topology And Its Applications, 96 :89-92 [Details]
(1999) 'Transfinite induction and the real line'
McCluskey, A. E. and McMaster, T. B. M. (1999) 'Transfinite induction and the real line'. Bulletin Of The Irish Mathematical Society, (42):32-44 [Details]
(1999) 'Representing quasi-orders by embeddability ordering of families of topological spaces'
McCluskey, AE;McMaster, TBM (1999) 'Representing quasi-orders by embeddability ordering of families of topological spaces'. Proceedings Of The American Mathematical Society, 127 :1275-1279 [Details]
(1996) 'T_0 and loosely nested are not complementary'
McCartan, S.D., McCluskey, A.E. (1996) 'T_0 and loosely nested are not complementary'. Proceedings Of The 8th Prague Topological Symposium, :288-290 [Details]
(1995) 'Minimal structures for T_{FA}'
McCartan, SD; McCluskey, AE (1995) 'Minimal structures for T_{FA}'. Rend. Dell'Istituto Di Matematica Dell'Universitá Di Trieste, 27 :11-24 [Details]
(1995) 'MINIMALITY WITH RESPECT TO YOUNGS AXIOM'
MCCLUSKEY, AE;MCCARTAN, SD (1995) 'MINIMALITY WITH RESPECT TO YOUNGS AXIOM'. Houston Journal Of Mathematics, 21 :413-428 [Details]
(1995) 'A minimal sober topology is always Scott'
McCartan, S.D., McCluskey, A.E. (1995) 'A minimal sober topology is always Scott'. Ann. N. Y. Acad. Sci, 806 :293-303 [Details]
(1993) 'Minimality with respect to T_{SA} and T_{SD}'
McCartan, SD; McCluskey, AE (1993) 'Minimality with respect to T_{SA} and T_{SD}'. Topology And Its Applications, :83-97 [Details]
(1992) 'The minimal structures for T_A'
MCCLUSKEY, AE,MCCARTAN, SD (1992) 'The minimal structures for T_A'. Annals Of The New York Academy Of Sciences, 659 :138-155 [Details]

Books

  Year Publication
(2022) Integration with Complex Numbers - a primer on complex analysis.
McCluskey, A., McMaster, B. (2022) Integration with Complex Numbers - a primer on complex analysis. United Kingdom: Oxford University Press. [Details]
(2018) Undergraduate Analysis - A Working Textbook.
McCluskey, Aisling; McMaster, Brian (2018) Undergraduate Analysis - A Working Textbook. Oxford: Oxford University Press. [Details]
(2014) Undergraduate Topology - A Working Textbook.
McCluskey, Aisling; McMaster, Brian. (2014) Undergraduate Topology - A Working Textbook. Oxford: Oxford University Press. [Details]

Book Chapters

  Year Publication
(2006) 'Problems from the Galway Topology Colloquium'
Good, C., Marsh, A., McCluskey, A.E., McMaster, T.B.M. (2006) 'Problems from the Galway Topology Colloquium' In: Open Problems in General Topology II. :679-689 Amsterdam: Elsevier. [Details]
(2004) 'Comparison of topologies (minimal and maximal topologies)'
McCluskey, Aisling (2004) 'Comparison of topologies (minimal and maximal topologies)' In: Encyclopaedia of General Topology. :24-27 Amsterdam: Elsevier. [Details]

Conference Publications

  Year Publication
(2015) Proceedings of the nineth Congress of European Society for Research in Mathematics Education (CERME9)
Ní Ríordáin, M; McCluskey, A (2015) Bilingual mathematics learners, conceptual mathematical activity and the role of their languages. How best to investigate? Proceedings of the nineth Congress of European Society for Research in Mathematics Education (CERME9) , pp.1454-1460 [Details]
(2011) Volcanic Delta
McCluskey, A (2011) What are our Senior Undergraduates in Mathematics Learning? A Mathematician’s Hope Volcanic Delta , pp.278-291 [Details]
(2011) BSRLM Proceedings
S. Breen, A. McCluskey, M. Meehan, J. O’Donovan and A. O’Shea. (2011) Reflection on Practice, in Practice: The Discipline of Noticing BSRLM Proceedings , pp.7-12 [Details]
(2011) 4th Mathematics Education Ireland Conference
McCluskey, A (2011) Learning how to learn: exploring and enhancing accessibility and learning of abstract mathematics at third-level 4th Mathematics Education Ireland Conference , pp.261-271 [Details]
(2010) 3rd Mathematics Education in Ireland conference (MEI-3)
Ní Ríordáin, M; McCluskey, A (2010) Extending the mathematical capacity of Gaeilgeoirí: Assessing the effectiveness of bilingual mathematics instruction in first year undergraduate education 3rd Mathematics Education in Ireland conference (MEI-3) , pp.379-390 [Details]

Conference Contributions

  Year Publication
British Society for Research in the Learning and Teaching of Mathematics,
McCluskey, A Local host. [Conference Organising Committee Member], British Society for Research in the Learning and Teaching of Mathematics, Queen's University Belfast . [Details]
(2016) 13th International Congress on Mathematical Education (ICME-13),
Ní Ríordáin, M. & McCluskey, A. (2016) A comparison of Irish and English language learning discourses in mathematics. [Conference Organising Committee Chairperson], 13th International Congress on Mathematical Education (ICME-13), Hamburg, Germany , 25-JUL-16 - 31-JUL-16. [Details]
(2012) 12th International Congress on Mathematics Education,
Ní Ríordáin, M; McCluskey, A. (2012) The influence of bilingualism on mathematical problem solving at third level education in Ireland. [Oral Presentation], 12th International Congress on Mathematics Education, Seoul, South Korea , 08-JUL-12 - 12-JUL-12. [Details]
(2014) Psychology of Mathematics Education - 38,
Ní Ríordáin, M. & McCluskey, A. (2014) A theoretical framework for the examination of the role of bilingual learners’ languages when engaged in conceptual mathematical learning. [Oral Presentation], Psychology of Mathematics Education - 38, Vancouver, Canada , 15-JUL-14 - 20-JUL-14. [Details]

Media

  Year Publication
(2017) 10 Creative Ways To Teach Maths.
Scahill, M., Connolly, C., McCluskey, A. and Hall, T. (2017) 10 Creative Ways To Teach Maths. https://www.rte.ie/eile/brainstorm/2017/1112/919496-10-creative-ways-to-teach-maths/: RTE Media [Details]

Thesis

  Year Publication
(1990) Minimality with respect to separation axioms and sobriety, including their induced order characterisations.
McCluskey, Aisling E (1990) Minimality with respect to separation axioms and sobriety, including their induced order characterisations. Thesis [Details]

Periodical

  Year Publication
(2017) A problem-solving initiative at NUI Galway.
McCluskey, Aisling (2017) A problem-solving initiative at NUI Galway. Canada: Canadian Mathematics Society Notes Periodical [Details]

Other Activities

  Description

Hosted the 16th Galway Topology Colloquium during July 8 - 10, 2013

External Collaborators

  Name Organisation / Institute Country Description of Collaboration
Dr. Brian McMaster Queen's University Belfast UNITED KINGDOM
Professor Paul Bankston University of Milwaukee U.S.A.