Dr Fiacre Ó Cairbre

Mathematics and Statistics

Senior Lecturer

Logic House
211
(01) 7083763

Biography

Ph.D in Mathematics from Berkeley.

Books

  Year Publication
2006 A Resource for Transition Year Mathematics Teachers.
Fiacre Ó Cairbre, John McKeon and Richard Watson (2006) A Resource for Transition Year Mathematics Teachers. : Department of Education and Science. [Details]
1992 Differential Calculus and Integral Calculus.
Fiacre Ó Cairbre (1992) Differential Calculus and Integral Calculus. : Department of Mathematics, Maynooth. [Details]

Peer Reviewed Journals

  Year Publication
2014 'Mathematics education and the public's interaction with the Hamilton story'
Fiacre O Cairbre (2014) 'Mathematics education and the public's interaction with the Hamilton story'. IRISH MATHEMATICAL SOCIETY BULLETIN, 73 :5-19 [IR Link] [Details]
2010 'Twenty Years of the Hamilton Walk'
Fiacre Cairbre (2010) 'Twenty Years of the Hamilton Walk'. IRISH MATHEMATICAL SOCIETY BULLETIN, 65 :33-49 [IR Link] [Details]
2008 'A design methodology for switched discrete time linear systems with applications to automotive roll dynamics control'
Solmaz S., Shorten R., Wulff K., O'Cairbre F. (2008) 'A design methodology for switched discrete time linear systems with applications to automotive roll dynamics control'. AUTOMATICA, 44 :2358-2363 [IR Link] [Details]
2006 'On the dynamic instability of a class of switching systems'
R. Shorten, F. Ó Cairbre and P. Curran (2006) 'On the dynamic instability of a class of switching systems'. INTERNATIONAL JOURNAL OF CONTROL, 79 :630-635 [Details]
2004 'A unifying framework for the SISO circle criterion and other quadratic stability criteria'
Shorten RN, Mason O, O'Cairbre F, Curran P (2004) 'A unifying framework for the SISO circle criterion and other quadratic stability criteria'. International Journal of Control, 77 :1-8 [IR Link] [Details]
2004 'On the stability of convex sums of rank 1 perturbed matrices'
T. Laffey, R. Shorten, F. Ó Cairbre (2004) 'On the stability of convex sums of rank 1 perturbed matrices'. MATHEMATICAL PROCEEDINGS OF THE ROYAL IRISH ACADEMY, 104A :99-105 [IR Link] [Details]
2002 'A new methodology for the stability analysis of pairwise triangularizable and related switching systems'
R. Shorten and F. Ó Cairbre (2002) 'A new methodology for the stability analysis of pairwise triangularizable and related switching systems'. IMA JOURNAL OF APPLIED MATHEMATICS, 67 :441-457 [IR Link] [Details]
2001 'A bridge over a Hamiltonian path'
Fiacre Ó Cairbre and G. McGuire (2001) 'A bridge over a Hamiltonian path'. 23 :41-43 [IR Link] [Details]
2001 'A proof of global attractivity for a class of switching systems using a non-quadratic Lyapunov approach'
R. Shorten and F. Ó Cairbre (2001) 'A proof of global attractivity for a class of switching systems using a non-quadratic Lyapunov approach'. IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 18 :341-353 [IR Link] [Details]
2000 'William Rowan Hamilton (1805-1865): Ireland's greatest mathematician'
Fiacre Ó Cairbre (2000) 'William Rowan Hamilton (1805-1865): Ireland's greatest mathematician'. RÍOCHT NA MIDHE, 11 :124-150 [IR Link] [Details]
2000 'Piezo-spectroscopic induced perturbations for defects in cubic crystals under uniaxial stress applied along arbitrary low-symmetry crystal directions'
K. McGuigan, E. McGlynn, F. Ó Cairbre, J. Love and M. Henry. (2000) 'Piezo-spectroscopic induced perturbations for defects in cubic crystals under uniaxial stress applied along arbitrary low-symmetry crystal directions'. JOURNAL OF PHYSICS: CONDENSED MATTER, 12 :7055-7068 [IR Link] [Details]
1997 'Devaney chaos in an approximate one-dimensional model of the Colpitts oscillator'
O'Cairbre F, Maggio GM, Kennedy MP (1997) 'Devaney chaos in an approximate one-dimensional model of the Colpitts oscillator'. International Journal of Bifurcation and Chaos, 7 :2561-2568 [Details]
1995 'Bistability, bifurcation and chaos in a laser system'
F. Ó Cairbre, A. G. O'Farrell and A. O'Reilly (1995) 'Bistability, bifurcation and chaos in a laser system'. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 5 :1021-1031 [IR Link] [Details]
1993 'Full multiplicity ergodic actions of compact groups on von Neumann algebras'
F. Ó Cairbre (1993) 'Full multiplicity ergodic actions of compact groups on von Neumann algebras'. JOURNAL OF OPERATOR THEORY, 29 :69-81 [Details]

Conference Publications

  Year Publication
2016 Ten reasons why adults should know the history of number when learning mathematics
Fiacre Ó Cairbre (2016) Ten reasons why adults should know the history of number when learning mathematics Proceedings of the 23rd International Conference of Adults Learning Maths [Details]
2014 The Hamilton walk and its postive impact on adults learning mathematics outside the classroom
Fiacre O'Cairbre (2014) The Hamilton walk and its postive impact on adults learning mathematics outside the classroom Proceedings of the 21st international conference of adults learning mathematics (ALM) Bern, , pp.185-191 [Details]
2011 A study of the benefits of using the history of mathematics in transition year
Stacy Carter, Fiacre Ó Cairbre (2011) A study of the benefits of using the history of mathematics in transition year Proceedings of the fourth conference on research in mathematics education (MEI4), St. Patrick's College, Drumcondra , pp.93-103 [IR Link] [Details]
2011 The positive impact of storytelling in mathematics for adults
Fiacre Ó Cairbre (2011) The positive impact of storytelling in mathematics for adults Proceedings of the 18th international conference of adults learning mathematics (ALM), IT Tallaght , pp.295-304 [Details]
2009 The power of the short story and the big picture in mathematics education in schools, universities and for the general public
Ó Cairbre, Fiacre (2009) The power of the short story and the big picture in mathematics education in schools, universities and for the general public Proceedings of Third National Conference on Research in Mathematics Education MEI 3 , pp.400-411 [Details]
2007 A global attractivity result for a class of switching discrete time systems
S. Solmaz, R. Shorten, F. Ó Cairbre (2007) A global attractivity result for a class of switching discrete time systems Proceedings of the American Control Conference , pp.3462-3463 [IR Link] [Details]
2003 A unifying framework for the circle criterion and other quadratic stability
O. Mason, R. Shorten and F. Ó Cairbre (2003) A unifying framework for the circle criterion and other quadratic stability Proceedings European Control Conference [IR Link] [Details]
2002 On the stability of convex sums of rank-1 perturbed matrices
T. Laffey, R. Shorten and F. Ó Cairbre (2002) On the stability of convex sums of rank-1 perturbed matrices Proceedings of the American Control Conference , pp.1246-1247 [IR Link] [Details]
2001 Almost triangularisable switching systems: Pairwise triangularisability and
R. Shorten and F. Ó Cairbre (2001) Almost triangularisable switching systems: Pairwise triangularisability and Proceedings of the Irish Signals and Systems Conference , pp.155-160 [Details]
2001 On the stability of pairwise triangularisable and related switching systems
Shorten R, O Cairbre F (2001) On the stability of pairwise triangularisable and related switching systems Proceedings of the American Control Conference , pp.1882-1883 [IR Link] [Details]
2000 On the global attractivity of a class of switching systems
R. Shorten and F. Ó Cairbre (2000) On the global attractivity of a class of switching systems Proceedings of the American Control Conference , pp.2695-2696 [Details]
2000 On the dynamic instabiltiy of a class of switching systems
R. Shorten, F. Ó Cairbre and P.Curran (2000) On the dynamic instabiltiy of a class of switching systems Proceedings of the International Federation of Automatic Control Symposium , pp.193-198 [Details]
1998 On the use of the LEMMA method for characterising nonlinearities in
M. P. Kennedy, F. Ó Cairbre, D. Gillespie, P. Kiersey, L. Valsecchi and (1998) On the use of the LEMMA method for characterising nonlinearities in Proceedings of the Irish Signals and Systems Conference , pp.477-484 [Details]
1980 Development and Energy
P. Lynch, J. Brady, F. Ó Cairbre (1980) Development and Energy Institution of Engineers of Ireland Conference, Kilkenny [Details]

Article

  Year Publication
2003 Articles on George Boole and Francis Edgeworth.
Fiacre Ó Cairbre (2003) Articles on George Boole and Francis Edgeworth. Article [Details]

Book Review

  Year Publication
2012 Magical Mathematics, by Persi Diaconis and Ron Graham and published by Princeton University Press.
Fiacre Ó Cairbre (2012) Magical Mathematics, by Persi Diaconis and Ron Graham and published by Princeton University Press. Book Review [Details]
2003 Book review of St. Peter's Church: A quasi history.
Fiacre Ó Cairbre (2003) Book review of St. Peter's Church: A quasi history. Book Review [Details]
2001 Book review of The streets and Lanes of Drogheda (second edition), by James Garry.
Fiacre Ó Cairbre (2001) Book review of The streets and Lanes of Drogheda (second edition), by James Garry. Book Review [Details]
2001 Creators of Mathematics: The Irish Connection, edited by Ken Houston and published by UCD Press.
Fiacre Ó Cairbre (2001) Creators of Mathematics: The Irish Connection, edited by Ken Houston and published by UCD Press. Book Review [Details]
2000 Book review of The Cord Cemetery: history and tombstone inscriptions, by James Garry.
Fiacre Ó Cairbre (2000) Book review of The Cord Cemetery: history and tombstone inscriptions, by James Garry. Book Review [Details]

Magazine Article

  Year Publication
2015 William Rowan Hamilton - Ireland's Liberator of Algebra.
Fiacre Cairbre (2015) William Rowan Hamilton - Ireland's Liberator of Algebra. Magazine Article [IR Link] [Details]

Newsletter

  Year Publication
2017 Unsolved problems in mathematics and their educational value.
Fiacre Ó Cairbre (2017) Unsolved problems in mathematics and their educational value. Newsletter [Details]
2013 Freedom in mathematics and its educational value.
Fiacre Cairbre (2013) Freedom in mathematics and its educational value. Newsletter [IR Link] [Details]
2012 The story of number.
Fiacre Ó Cairbre (2012) The story of number. Newsletter [Details]
2011 The Hamilton walk.
Fiacre Ó Cairbre (2011) The Hamilton walk. Newsletter [Details]
2009 The Importance of being Beautiful in Mathematics.
Ó Cairbre, Fiacre (2009) The Importance of being Beautiful in Mathematics. Newsletter [IR Link] [Details]
2006 William Rowan Hamilton and the Quaternion walk.
Ó Cairbre, Fiacre (2006) William Rowan Hamilton and the Quaternion walk. Newsletter [Details]
2005 William Rowan Hamilton (1805-1865): Ireland's greatest mathematician.
Fiacre Ó Cairbre (2005) William Rowan Hamilton (1805-1865): Ireland's greatest mathematician. Newsletter [IR Link] [Details]

Conference Hosted

  Year Publication
2011 History of Mathematics Conference.
Fiacre Ó Cairbre and Ciarán Mac an Bhaird (2011) History of Mathematics Conference. Conference Hosted [Details]