Our Work

Biographies

 

Stephen Buckley

Stephen BuckleyStephen Buckley is a graduate of UCC and has a PhD from the University of Chicago (1990). Hehas been a member of the Mathematics Department at NUI Maynooth since 1993, where he is a Professor and the Head of Department.

His main research interests lie in Geometric Analysis in the settings of Euclidean space, metric spaces, or metric measure spaces. He is particularly interested in various weak notions of negative or nonpositive curvature such as Gromov hyperbolicity, CAT(0), Busemann convexity, and the Ptolemaic inequality.

He is also interested in quasiconformal mappings, potential theory, metric measure spaces, Gromov hyperbolicity, geometric function theory, and other fields in geometric and harmonic analysis. In particular, he has studied various types of Poincaré and Trudinger inequalities, over Euclidean and non-Euclidean spaces, especially the connection between such analytic inequalities and geometry.

He also has an interest in Mathematics Education at all levels. He is a current committee member of the Irish Mathematical Society, and has been involved in the Society for many years. More details and a list of publications can be found at http://www.maths.nuim.ie/staff/sbuckley/intro.html


John Carroll

john carrollDublin City University
School of Mathematical Sciences
Position: Professor

ACADEMIC QUALIFICATIONS

NUI Galway 1969-1973 BSc
Trinity College Dublin 1979-1980 MSc
Trinity College Dublin 1980-1983 PhD


EMPLOYMENT RECORD
Dundalk Institute of Technology 1973-1983
Dublin City University
Mathematical Sciences 1984-1994
University Registrar 1994-2000
Mathematical Sciences 2000-date

PUBLICATIONS & PAPERS PRESENTED
Details of 3 recent relevant refereed publications:
• J. Carroll, Sufficient conditions for uniformly second-order convergent schemes for stiff initial-value problems, Computers Math. Applic., 24 (1992), pp. 105{116.
• J. Carroll, A composite integration scheme for the numerical solution of systems of parabolic PDEs in one space dimension, J. Comput. Appl. Math., 46 (1993), pp.327{343.
• J. Carroll, On the implementation of a matricial exponentially ¯tted scheme for the numerical solution of stiff initial-value problems, in Annals of Numerical Mathematics, 1 (1994), pp. 377{383.
11 other refereed publications, 3 non-refereed articles, editor of ILIAM V & VIII Proceedings.

RESEARCH INTERESTS
• The numerical analysis of ordinary and partial differential equations.
• Exponential integrators for time-dependent partial differential equations.
• Exponential fitted schemes for systems of ordinary differential equations.

TEACHING INTERESTS
• Numerical Analysis (MS252).
• MATLAB for numerical computations (MS251).
• Accounting Mathematics & Mathematics of Finance (MS144, MS216 & MS318).

 

Kevin Conliffe

Kevin Conliffe has taught Applied Maths for over 30 years. He is the present chairman of the Irish Applied Mathematics Teachers' Association (IAMTA) (elected in November 2008) and has done great work in his first 6 months in enhancing relations with Irish Universities, establishing a course for teachers in Galway and initiating a hugely successful Table Quiz for students of Applied maths in which over 200 students took part (a huge percent of all such students in Ireland).

Kevin Conliffe was the winner of the Victor Graham Memorial Trophy in 2003 for services to Applied Maths. He is the author of a fine textbook in the subject.

Kevin would be a fine successor to Hilary Dorgan who served on the committee as an invited nominee of the IAMTA, but no longer wishes to serve, due to a busy work schedule.
 

Patricia T Eaton

patricia eatonPatricia Eaton was educated in Belfast and graduated from Queen’s University with a PhD in Pure Mathematics. After teaching in the post-primary sector she moved to her current post of Principal Lecturer at Stranmillis University College where she teaches a range of courses on mathematics and mathematics education. With previous publications in pure mathematics she now publishes in the fields of mathematics education and professional development. She holds a number of administrative roles in the college and takes an active interest in promoting mathematics in the community. She has worked on funded projects in mathematics education with colleagues in Dublin and Galway. She is currently chair of the Irish Branch of the Institute of Mathematics and its Applications.

 

Andrew Fowler

Andrew FlowlerAndrew Fowler is currently Stokes Professor of applied mathematics at the University of Limerick, and a Senior Research Fellow at Corpus Christi College in the University of Oxford. He is interested in the application of mathematics in any scientific field where interesting quantitative problems arise, and has previously worked in problems in physiology, ecology, industry, glaciology, geophysics, geomorphology and volcanology. He is the author of the books 'Mathematical models in the applied sciences' (C.U.P., 1997), and 'Mathematical Geoscience' (Springer, 2011).

 

Rachel Gargan

Rachel Gargan lectures in Mathematics in the Department of Building & Civil Engineering in the Galway-Mayo Institute of Technology. Specifically, Rachel delivers maths classes to Civil Engineering students so her current areas of concentration are vector calculus, vector analysis, differential equations, Fourier transforms and finite element analysis.

Rachel worked in industry for a number of years in the area of Unix scripting and spent a number of years working for Texas Instruments in the development of the TI calculators.

Rachel has a wide range of mathematical interests. She has a keen interest in number theory and computational number theory; one of her areas of research has been on factorisation algorithms upon which the security of asymmetric cryptosystems is based. Rachel's other areas of mathematical interest include graph theory and algebra.
 

 

Professor Michael Gilchrist

Michael GilchristMichael Gilchrist, FIMechE, FIMMM, FIEI, FInstP, is Head of the School of Mechanical & Materials Engineering at University College Dublin. His research interests are in the mechanical behaviour of nonlinear materials, including both polymers and biological tissue at different time and length scales. He has published widely in the international scientific literature in these fields and he has been awarded various national and international prizes for his scientific research as well as for his academic teaching.

Professor Gilchrist received BE and MEngSc degrees in Mechanical Engineering from the National University of Ireland (UCG) in 1986 and 1988, and PhD and DEng degrees from the University of Sheffield in 1992 and 2008, respectively. He is involved in a wide range of international technical organisations and scientific conferences, including those sponsored by IUTAM. He has been Ireland’s representative to IUTAM since 2010.


James P Gleeson

James GleesonJames Gleeson received a BSc in Mathematical Sciences from UCD in 1994, and an MSc in Mathematical Physics from the same institution in 1995. He was awarded an NUI Travelling Studentship, and graduated from Caltech with a PhD in Applied Mathematics in 1999. Following a one-year postdoc in Arizona State University, he returned to Ireland to take up a postdoc in University College Cork. In 2001 he was appointed to a lecturer position, and gained promotion to senior lecturer in 2006. From September 2007 he has held the Chair in Industrial and Applied Mathematics at the University of Limerick. He has published over 30 journal papers and has twice been awarded Science Foundation Ireland PI awards. His current research interests include stochastic dynamics, complex systems and mathematical modelling of large-scale networks. Further information is available on his homepage: http://www.ul.ie/gleesonj


Chris Hills

Chris Hills, BA, MA, PhD (Cantab).
Chris Hills is currently Assistant Head of School of Mathematical Sciences and Head of Department of Pure & Applied Mathematics at Dublin Institute of Technology. He previously held the positions of Derby Fellow in Applied Mathematics at Lincoln College, University of Oxford and Lecturer in Applied Mathematics at the University of Exeter. Chris moved to Ireland in 2005 when he was appointed as a lecturer at DIT.
Chris has research interests in applied mathematics and fluid mechanics. In particular his research has concentrated on slow viscous flows and the motion and stability of rotationally-driven flows. He has published papers on the nature and existence of viscous eddies amongst other topics, supported by research grant awards both in the UK and Ireland and regularly referees papers on these topics.
Chris is a member of the Irish Mathematical Society and the Higher Education Academy.


Ted Hurley

• BSc & MSc, National University of Ireland (UCG).
• PhD University of London.
• Lecturer, Imperial College of Science and Technology (University of London) 1970-71.
• Lecturer University of Sheffield, 1971-1974.
• College Lecturer, UCD, (University College, Dublin) 1974-1980
• Statutory (Senior) Lecturer, UCG, (University College Galway), 1980-1988
• Associate Professor, UCG, 1988-1996
• Professor of Mathematics, UCG (now NUI,Galway) 1996- .
• Head of Department: 1996-2000 and 2002-2005.

1. Areas of expertise: Algebra in particular Group Theory, Computer Algebra, Group Rings, Coding and Cryptography.
2. Numererous (Journal) publications in above areas in Internatioanl Journals. Mostly single author.
3. Regular reviewer for Mathematical Reviews. (2-3 reviews per year.)
4. Referee on numerous occasions for many publications.
5. Four PhD students. 20+ masters students.
6. External examiner for a number (_ 8) of PhDs at various Universities.
7. Initiated with Anthony Seda (UCC) the biannual conferences on “The mathematical foundations of Computer Science and Information Technology, MFCSIT” which have been held at UCC (2000), NUI,G (2004), TCD (2004) and UCC (2006).
8. Served on panels of research award giving bodies at various times.
9. External examiner for Dublin City University Mathematical Sciences degree programme. External examiner for BSc in IT by Distance Learning.
10. Joint Editor of a number of Journals at various times.
11. Brought BMC (British Mathematical Colloquium) in conjunction with IMS to Galway in 2009 for its first ever meeting outside the UK; chaired the colloquium/meeting.

Selection of Recent Publications:
“Codes from zero-divisors and units in group rings”, Int. J. Inform. and Coding Theory, Vol. 1, no 1, (2009), 57-87.

“Convolutional Codes from Units in Matrix and Group Rings”, Int. J Pure &
Applied Math. 50 No. 3, 2009, 431-463

“Fourth International Conference on Information and the Fourth International Conference on the Mathematical Foundations of Computer Science and Information Technology (MFCSIT)”, Proceedings, (joint editor), UCC, 2006, xiv + 406 pp.

(with P Hurley, IBM Research, Zurich) “Module codes in group rings”, Proc IEEE Int. Symp on Inform. Theory, (ISIT), 2007, 1981-1985.

“A group ring construction of the extended binary golay code”, IEEE Trans. Inform. Th., 54, 2008, 4381-4383.

Grants

Principal Investigator or joint Principal Investigator in the following:
• Three Eolas/Basic grants. (These are now the Frontiers programmes run by SFI.)
• Two NUI,Galway millenium grants for Group Rings.
• EC (now EU) grant “Intelligent Computer Algebra systems” 1988-1991; jointly with University of St Andrews and Aachen University.
• Two Unesco grants on High Performance Computing jointly with Bulgarian Academy of Sciences.

Patents
Method and apparatus for generating error-correcting and error-detecting codes using zero-divisors and units in group rings, NUI,G International application No.: PCT/IE2006/000046

Public key cryptography, Irish short-term patent application, S2006/0144 Method for convolutional codes using encodings from units in group rings, draft patent, NUI,G with IBM Research, Gmbh, Zurich.

 

Tom Laffey

Professor Laffey was appointed to UCD in 1968. His research interests include (Entry-wise) nonnegative matrices, Liapunov stability theory, and similarity of matrices. He is a highly regarded member of the international Mathematics community and is a member of the following professional bodies:
• Member of the Royal Irish Academy (RIA)
• Member of the American, Irish and London Mathematical Societies,
• The Mathematical Association of America,
• The International Linear Algebra Society
• The Society for Industrial and Applied Mathematics

He contributes to the IMO Enrichment Programme and coordinates Irish participation in the annual International Mathematical Olympiads.


Mark McCartney

Mark McCartneyMark McCartney (PhD 1993, QUB, Applied Mathematics & Theoretical Physics) is a lecturer in mathematics at the University of Ulster (1999-present). His research interests cover aspects applied mathematics and theoretical physics, mathematics education and history of science with total published output in these areas of over 50 papers, plus two edited books. He is a member of the Advisory Editorial Board of the International Journal of Mathematical Education in Science and Technology, a member of the National Advisory Committee of the HE Academy MSOR subject network and University Correspondent for the Isaac Newton Institute for Mathematical Sciences, Cambridge. Further research details can be found at  http://www.infj.ulst.ac.uk/~mmccart/research.htm

 

Anthony O'Farrell

Anthony O FarrellAnthony G. O'Farrell is Professor of Mathematics at NUI, Maynooth. His research interests centre in Mathematical Analysis, particularly complex analysis and functional analysis, but he likes to exploit connections with algebraic structures and with geometry. Currently active projects concern (1) reversibility of biholomorphic maps, (2) Diophantine approximation on curves, (3) critical points of electrostatic potentials, and (4) approximation in algebras of analytic functions. He was appointed to his chair at the age of 28, and elected to the RIA at 33. He was Head of Department from 1975 to 2007, but now devotes himself full-time to research and teaching, apart from some activities that support Irish Mathematical life (such as editorial work, advisory work on the schools' syllabus for the NCCA, and advice on teacher qualifications for the Teaching Council) and contributions to the international Mathematical community (such as occasional lectures, and quality assessment of papers, individuals and organisations). For publications and further information, see http://www.maths.nuim.ie/staff/aof/
 

 

Elizabeth Oldham

Elizabeth Oldham is a Senior Lecturer in Education at Trinity College Dublin. Her main research is in the field of mathematics education, especially mathematics curriculum. In the 1980s and 1990s, she worked on curricular aspects of cross-national studies of school mathematics; she acted as Education Officer (Mathematics) for the Irish National Council for Curriculum and Assessment while the school mathematics courses were being revised in the 1990s; and she is currently a member of the National Advisory Committee for the OECD's Programme for International Student Assessment (PISA), which tests mathematics and also science and reading. She is interested in the promotion of teaching and learning with understanding, and in investigating how teachers’ conceptions of mathematics affect the way in which they teach the subject. Her other main field is the use of ICTs in education, both for mathematics (including the use of calculators) and more generally. She is a former President of the Educational Studies Association of Ireland (2000-2002) and now co-chairs the "Science and Mathematics Education" group of the Association for Teacher Education in Europe. A former teacher at Alexandra College, Dublin, she is on the school's Council (governing body). Her publications and further details are available at http://people.tcd.ie/eoldham

 


Rachel Quinlan

Dr Rachel Quinlan is from Galway and was educated at University College Galway (B.Sc. 1993, M.Sc. 1994) and at the University of Alberta (PhD in Mathematics, 2000). She lectured in the Mathematics Department at University College Dublin from 2000 until 2005, and then moved to NUI Galway where she is currently a lecturer in the newly established School of Mathematics, Statistics and Applied Mathematics.
Her research interests are in the areas of algebra and mathematics education at tertiary level. Her PhD disseration was on the representation theory of finite groups, and she is also interested in group theory, linear algebra, combinatorics and the interactions between these areas. She is interested also in mathematics education at third level, specifically in curriculum design, assessment, and issues surrounding the transition from elementary to advanced mathematical thinking.
She is one of many mathematicians who have been involved in Ireland's participation in the International Mathematical Olympiad (IMO), and she was the leader of the Irish team in the 47th IMO in 2006. She is a member of the Irish Mathematical Society, the American Mathematical Society, and the British Society for Research into Learning Mathematics.

 

Kingshuk Roy Choudhury

K roy ChoudhuryKingshuk Roy Choudhury was awarded a Ph.D. degree in Statistics from the University of Washington, Seattle in 1998. Since then, he has been a lecturer in the Statistics Department at University College Cork. He is an applied statistician with experience in the application of statistical modelling to problems in the natural sciences and medicine. He has published articles in statistics journals as well as relevant application areas. His research has been part funded by both Irish and European funding agencies. Further information is available on his homepage: http://euclid.ucc.ie/pages/staff/kingshuk/rkingshuk.htm


Samson Shatashvili 

Samson ShatashviliCurrent positions:
University Chair of Natural Philosophy (1847), Trinity College Dublin
Louis Michel Chair, IHES, Bures-Sur-Yvette, France
Director, the Hamilton Mathematics Institute TCD 

Research Interests:
Theoretical and Mathematical Physics
Awards and Fellowships:
Royal Irish Academy Gold Medal, 2010
Invited Plenary Speaker, International Congress on Mathematical Physics 2009
Member, Royal Irish Academy
Fellow, Trinity College Dublin
DOE Outstanding Junior Investigator Award, OJI, 1995-2002
NSF CAREER Award (Presidential Young Investigator), 1995-2000
Alfred P. Sloan Research Fellow, 1996-2000
Yale University Senior Faculty Fellow, 1998
Rustaveli Fellow, USSR - 1979-1981

http://www.maths.tcd.ie/people/index.php?file=people&code=SSh
http://www.ihes.fr/jsp/site/Portal.jsp?document_id=2571&portlet_id=977

 

Richard Timoney

richard timoneyProfessor Timoney is Associate Professor of Mathematics at Trinity College Dublin where he has been following a brief period at Indiana University, Bloomington and a PhD from the University of Illinois. He studied originally at University College Dublin and was awarded a Travelling Studentship of the NUI. Research interests are in complex and functional analysis now including operator algebras and operator spaces. Recent work has included topics on elementary operators on C*-algebras and on the operator space structures of JC*-triples. He was nominated to the RIA Committee by the Irish Mathematical Society of which he is a long standing member. He is also a member of the American, European and London Mathematical Societies and serves on the editorial boards of journals. Details of his publications can be found at http://www.maths.tcd.ie/~richardt/index.php?file=publ

 

Michael Tuite

1. Senior Lecturer, School of Mathematics, Statistics and Applied Mathematics, NUI Galway
2. Vertex operator algebras, Riemann surfaces, modular forms, conformal field theory
3. Some notable publications:
"On the relationship between Monstrous Moonshine and the uniqueness of the Moonshine module", Tuite, M.P., Commun. Math. Phys. 166 495-532 (1995).

"Genus two meromorphic conformal field theory", Tuite, M.P., CRM Proceedings & Lecture Notes 30 231-251 (2001).

"Torus $n$-point functions for $\mathbb{R}$-graded vertex operator superalgebras and continuous fermion orbifolds", Mason, G., Tuite, M. P. & Zuevsky, A. Commun. Math. Phys. 283, 305-342 (2008).

"Moonshine: The first quarter century and beyond", ed. Lepowsky, J., McKay, J. and Tuite, M.P., LMS Lecture Note Series 372, CUP 2010.

"Free Bosonic Vertex Operator Algebras on Genus Two Riemann Surfaces I", Mason, G. & Tuite M.P., Commun. Math. Phys. 300, 673-713 (2010).

4. Homepage www.nuigalway.ie/applied_maths/users/Tuite/index.htm
 

 

Anthony Wickstead

Anthony wicksteadAnthony Wickstead is currently Professor of Pure Mathematics and Director of the Pure Mathematics Research Centre at Queen's University Belfast. His research is into Banach lattices and positive operators between them.

Some of his more notable publications are:

Representation and duality of multiplication operators on Archimedean Riesz spaces, Compositio Math. 35 (1977), 225-238, which includes the first proof that the order adjoint of an orthomorphism on an Archimedean vector lattice is again an orthomorphism.

Extremal structure of cones of operators, Quart. J. Math. Oxford Ser (2), 32 (1981), 239-253, which was one of the earliest works in the now popular area of domination theorems for operators on Banach lattices.

Converses for the Dodds-Fremlin and Kalton-Saab theorems, Math. Proc. Cambridge Philos. Soc. 120 (1996), 175-179, which rather unexpectedly showed that the very different conditions given by Dodds-Fremlin and myself which guarantee that a positive operator dominated by a compact operator must be positive are the only two possibilities.

When each continuous operator is regular II (with Y.A. Abramovich), Indag. Math. (N.S.) 8 (1997), 281-294, which showed that results of Kantorovich, Vulikh and Synnatzschke that date back to 1936 were actually best possible.

Web site: http://www.qub.ac.uk/puremaths/Staff/Anthony%20Wickstead/Wickstead%20Home%20Page.html

 

 

 


 


 

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