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Professor Dane Flannery

MSc, DPhil

 
researcher
 

Biography



Research Interests

My research has two main strands: linear group theory, including algebraic and arithmetic groups; combinatorial design theory. A linking theme is the solution of problems via the computational realization of innovative techniques. Implementations and subsequent computer experimentation are essential outcomes.  These enhance the functionality of widely used computer algebra systems such as Magma and GAP.

I am a leading developer of a new area of algebra at the interface with computer science, aimed at practical computation with finitely generated matrix groups over infinite domains. Recent work focuses on Zariski dense subgroups that arise in theoretical physics and low-dimensional topology.

In a second strand of research, I helped to found Algebraic Design Theory. This subject tailors algebraic methods to solve existence and classification
problems for pairwise combinatorial designs, particularly those possessing a certain type of regular group action. Algebraic design theory has manifold
applications in experimental design, optimization, cryptography, coding theory, and finite geometry.


Research Projects

  Project Start Date End Date
Construction and Analysis of Combinatorial Structures and Codes 01-OCT-18 30-NOV-20
MatGroups 01-MAR-16 30-NOV-16
Group actions, structure and representations 01-JAN-14 01-DEC-16
Deciding nilpotency and solvability of linear groups 01-MAY-05 01-NOV-05
Matrix groups: algorithms and applications, 01-MAR-15 30-NOV-15
IRC POSTGRADUATE R EGAN DANE FLANNERY 01-OCT-13 30-SEP-15
ALGORITHMS FOR ARITHMETIC GROUPS WITH CONGRUENCE SUBGROUP PROPERTY SFI SHORT TERM TRAVEL FELLOWSHIP 11/RFP.1/MTH/3212 - STTF 11 DANE FLANNERY 01-SEP-11 31-AUG-12
ALGORITHMS FOR COMPUTING WITH MATRIX GROUPS 01-SEP-08 01-NOV-13
A NEW FOUNDATION FOR COMPUTING WITH LINEAR GROUPS SFI RFP 11/RFP.1.MTH/3212 DANE FLANNERY 01-OCT-11 15-NOV-16
MF2003 MF90 03 M DANE FLANNERY 01-JAN-04 31-DEC-04
SFI COMPUTING IN LINEAR GROUPS DANE FLANNERY 31-JUL-05 30-SEP-10

Contract Researchers

  Researcher Name Project Role Funding Body
Dr Alla S. Detinko SFI Research Frontiers Programme 2008 (08/RFP/MTH1331) Postdoctoral Fellow Science Foundation Ireland (SFI)
Dr Ronan Egan Government of Ireland Postdoctoral Fellowship 2018 (GOIPD/2018/304) Postdoctoral Fellow
Dr Alla S. Detinko SFI Research Frontiers Programme 2005 (05/RFP/MAT0008) Postdoctoral Fellow Science Foundation Ireland (SFI)
Dr Alla S. Detinko SFI Mathematics Initiative 2007 (07/MI/007) Postdoctoral Fellow Science Foundation Ireland (SFI)
Dr Alla S. Detinko SFI Research Frontiers Programme 2011 (11/RFP.1/MTH/3212) Postdoctoral Fellow Science Foundation Ireland (SFI)

Peer Reviewed Journals

  Year Publication
(2021) 'Classifying finite monomial linear groups of prime degree in characteristic zero'
Z. Bacskai, D. L. Flannery, E. A. O'Brien (2021) 'Classifying finite monomial linear groups of prime degree in characteristic zero'. International Journal Of Algebra And Computation, [Details]
(2020) 'Quasi-orthogonal cocycles, optimal sequences and a conjecture of Littlewood'
J. A. Armario and D. L. Flannery (2020) 'Quasi-orthogonal cocycles, optimal sequences and a conjecture of Littlewood'. Journal Of Algebraic Combinatorics, [Details]
(2020) 'Experimenting with Symplectic Hypergeometric Monodromy Groups'
Detinko, AS;Flannery, DL;Hulpke, A (2020) 'Experimenting with Symplectic Hypergeometric Monodromy Groups'. Experimental Mathematics, [DOI] [Details]
(2020) 'Almost supplementary difference sets and quaternary sequences with optimal autocorrelation'
J. A. Armario, D. L. Flannery (2020) 'Almost supplementary difference sets and quaternary sequences with optimal autocorrelation'. Cryptography And Communications-Discrete-Structures Boolean Functions And Sequences, [Details]
(2020) 'Algorithms for Experimenting with Zariski Dense Subgroups'
Detinko, AS;Flannery, DL;Hulpke, A (2020) 'Algorithms for Experimenting with Zariski Dense Subgroups'. Experimental Mathematics, 29 :296-305 [DOI] [Details]
(2019) 'Generalized binary arrays from quasi-orthogonal cocycles'
J. A. Armario, D. L. Flannery (2019) 'Generalized binary arrays from quasi-orthogonal cocycles'. Designs Codes And Cryptography, [Details]
(2019) 'The strong approximation theorem and computing with linear groups'
A.S. Detinko, D.L. Flannery, and A. Hulpke (2019) 'The strong approximation theorem and computing with linear groups'. Journal Of Algebra, 529 :536-549 [Details]
(2018) 'Linear groups and computation'
A.S. Detinko and D.L. Flannery (2018) 'Linear groups and computation'. Expositiones Mathematicae, [Details]
(2018) 'On quasi-orthogonal cocycles'
Armario, JA,Flannery, DL (2018) 'On quasi-orthogonal cocycles'. Journal Of Combinatorial Designs, 26 :401-411 [DOI] [Details]
(2018) 'ZARISKI DENSITY AND COMPUTING IN ARITHMETIC GROUPS'
Detinko, A,Flannery, DL,Hulpke, A (2018) 'ZARISKI DENSITY AND COMPUTING IN ARITHMETIC GROUPS'. Mathematics Of Computation, 87 :967-986 [DOI] [Details]
(2017) 'Automorphisms of generalized Sylvester Hadamard matrices'
Egan, R,Flannery, DL (2017) 'Automorphisms of generalized Sylvester Hadamard matrices'. Discrete Mathematics, 340 :516-523 [DOI] [Details]
(2017) 'Editorial to this special issue in memory of Laci Kov\'acs'
Glasby, S. P. and Flannery, Dane and Praeger, Cheryl E. and St\"ohr, Ralph (2017) 'Editorial to this special issue in memory of Laci Kov\'acs'. J. Aust. Math. Soc, 102 (1):1-2 [DOI] [Details]
(2017) 'L. G. KOVACS AND LINEAR GROUPS'
Detinko, AS,Flannery, DL (2017) 'L. G. KOVACS AND LINEAR GROUPS'. Journal Of The Australian Mathematical Society, 102 :55-62 [DOI] [Details]
(2015) 'Integrality and arithmeticity of solvable linear groups'
Detinko, AS,Flannery, DL,de Graaf, WA (2015) 'Integrality and arithmeticity of solvable linear groups'. Journal Of Symbolic Computation, 68 :138-145 [DOI] [Details]
(2015) 'Algorithms for arithmetic groups with the congruence subgroup property'
Detinko, AS,Flannery, DL,Hulpke, A (2015) 'Algorithms for arithmetic groups with the congruence subgroup property'. Journal Of Algebra, 421 :234-259 [DOI] [Details]
(2015) 'On linear shift representations'
Flannery, D. L. and Egan, R. (2015) 'On linear shift representations'. J. Pure Appl. Algebra, 219 (8):3482-3494 [DOI] [Details]
(2013) 'Algorithms for linear groups of finite rank'
A. S. Detinko, D. L. Flannery, E. A. O'Brien (2013) 'Algorithms for linear groups of finite rank'. Journal Of Algebra, 393 :187-196 [Details]
(2013) 'Probabilistic Group Theory, Combinatorics, and Computing Lectures from the Fifth de Brun Workshop Preface'
Detinko, A;Flannery, D;O'Brien, E (2013) 'Probabilistic Group Theory, Combinatorics, and Computing Lectures from the Fifth de Brun Workshop Preface'. Mathematical Models And Methods For Living Systems, 2070 [Details]
(2013) 'Recognizing finite matrix groups over infinite fields'
Detinko, AS,Flannery, DL,O'Brien, EA (2013) 'Recognizing finite matrix groups over infinite fields'. Journal Of Symbolic Computation, 50 :100-109 [DOI] [Details]
(2011) 'Computing with matrix groups over infinite fields'
DETINKO, A.S., EICK, B., FLANNERY, D. (2011) 'Computing with matrix groups over infinite fields'. LMS LECTURE NOTE SERIES, 387 (3):256-270 [Details]
(2011) 'Algorithms for the Tits alternative and related problems'
Detinko, AS,Flannery, DL,O'Brien, EA (2011) 'Algorithms for the Tits alternative and related problems'. Journal Of Algebra, 344 :397-406 [DOI] [Details]
(2010) 'Group algebra series and coboundary modules'
Lebel, A,Flannery, DL,Horadam, KJ (2010) 'Group algebra series and coboundary modules'. Journal Of Pure And Applied Algebra, 214 :1291-1300 [DOI] [Details]
(2010) 'Guest editorial for the special issue on design theory'
FLANNERY, D., HORADAM, K. (2010) 'Guest editorial for the special issue on design theory'. Cryptography and Communication, 2 (2):127-128 [Details]
(2009) 'On deciding finiteness of matrix groups'
Detinko, AS,Flannery, DL (2009) 'On deciding finiteness of matrix groups'. Journal Of Symbolic Computation, 44 :1037-1043 [DOI] [Details]
(2009) 'Deciding finiteness of matrix groups in positive characteristic'
Detinko, AS,Flannery, DL,O'Brien, EA (2009) 'Deciding finiteness of matrix groups in positive characteristic'. Journal Of Algebra, 322 :4151-4160 [DOI] [Details]
(2008) 'Periodic subgroups of projective linear groups in positive characteristic'
Detinko, AS,Flannery, DL (2008) 'Periodic subgroups of projective linear groups in positive characteristic'. Central European Journal Of Mathematics, 6 :384-392 [DOI] [Details]
(2008) 'Algorithms for computing with nilpotent matrix groups over infinite domains'
Detinko, AS,Flannery, DL (2008) 'Algorithms for computing with nilpotent matrix groups over infinite domains'. Journal Of Symbolic Computation, 43 :8-26 [DOI] [Details]
(2006) 'Corrigendum to ``Locally nilpotent linear groups'' [Irish Math. Soc. Bull. No. 56 (2005), 37--51; MR2232095]'
Detinko, A. S. and Flannery, D. L. (2006) 'Corrigendum to ``Locally nilpotent linear groups'' [Irish Math. Soc. Bull. No. 56 (2005), 37--51; MR2232095]'. Irish Math. Soc. Bull, (57) [Details]
(2006) 'Computing in nilpotent matrix groups'
DETINKO, A.S., FLANNERY, D. (2006) 'Computing in nilpotent matrix groups'. LMS JOURNAL OF COMPUTATION AND MATHEMATICS, 9 (3):104-134 [Details]
(2005) 'Nilpotent primitive linear groups over finite fields'
Detinko, AS,Flannery, DL (2005) 'Nilpotent primitive linear groups over finite fields'. Communications In Algebra, 33 :497-505 [DOI] [Details]
(2005) 'Linear groups of small degree over finite fields'
Flannery, DL,O'Brien, EA (2005) 'Linear groups of small degree over finite fields'. International Journal Of Algebra And Computation, 15 :467-502 [Details]
(2005) 'Locally nilpotent linear groups'
DETINKO, A.S., FLANNERY, D. (2005) 'Locally nilpotent linear groups'. IRISH MATHEMATICAL SOCIETY BULLETIN, (56):37-51 [Details]
(2004) 'Classification of nilpotent primitive linear groups over finite fields'
Detinko, AS,Flannery, DL (2004) 'Classification of nilpotent primitive linear groups over finite fields'. Glasgow Mathematical Journal, 46 :585-594 [DOI] [Details]
(2004) 'Irreducible monomial linear groups of degree four over finite fields'
Flannery, DL (2004) 'Irreducible monomial linear groups of degree four over finite fields'. International Journal Of Algebra And Computation, 14 :253-294 [Details]
(2000) 'Cocyclic Hadamard matrices and difference sets'
de Launey, W., Horadam, K.J. (2000) 'Cocyclic Hadamard matrices and difference sets'. Discrete and Applied Mathematics, 102 :47-61 [Details]
(2000) 'Computing 2-cocycles for central extensions and relative difference sets'
Flannery, DL,O'Brien, EA (2000) 'Computing 2-cocycles for central extensions and relative difference sets'. Communications In Algebra, 28 :1939-1955 [Details]
(1999) 'The finite irreducible monomial linear groups of degree 4'
Flannery, DL (1999) 'The finite irreducible monomial linear groups of degree 4'. Journal Of Algebra, 218 :436-469 [Details]
(1997) 'Cocyclic Hadamard matrices and Hadamard groups are equivalent'
FLANNERY, D. (1997) 'Cocyclic Hadamard matrices and Hadamard groups are equivalent'. Journal of Algebra, 192 :749-779 [Details]
(1996) 'Calculation of cocyclic matrices'
FLANNERY, D. (1996) 'Calculation of cocyclic matrices'. Journal of Pure and Applied Algebra, 112 :181-190 [Details]
(1995) 'Transgression and the calculation of cocyclic matrices'
FLANNERY, D. (1995) 'Transgression and the calculation of cocyclic matrices'. Australasian Journal of Combinatorics, 11 :67-78 [Details]
(1994) 'Submodule lattices of direct sums'
FLANNERY, D. (1994) 'Submodule lattices of direct sums'. Communications in Algebra, 22 (10):4067-4087 [Details]

Books

  Year Publication
(2011) Algebraic design theory, Mathematical Surveys and Monographs. American Mathematical Society.
FLANNERY, D., de Launey, W. (2011) Algebraic design theory, Mathematical Surveys and Monographs. American Mathematical Society. Providence, Rhode Island: American Mathematical Society. [Details]
(1997) The finite irreducible linear 2-groups of degree 4. Memoirs of the American Mathematical Society.
Flannery, D. (1997) The finite irreducible linear 2-groups of degree 4. Memoirs of the American Mathematical Society. [Details]

Book Chapters

  Year Publication
(2015) 'Classifying cocyclic Butson Hadamard matrices'
Egan, Ronan and Flannery, Dane and \'O Cath\'ain, Padraig (2015) 'Classifying cocyclic Butson Hadamard matrices' In: :93-106 Springer, Cham. [Details]
(2011) 'Computing with matrix groups over infinite fields'
Detinko, A. S. and Eick, B. and Flannery, D. L. (2011) 'Computing with matrix groups over infinite fields' In: :256-270 Cambridge Univ. Press, Cambridge. [Details]

Conference Publications

  Year Publication
(2000) DISCRETE APPLIED MATHEMATICS
de Launey, W;Flannery, DL;Horadam, KJ (2000) Cocyclic Hadamard matrices and difference sets DISCRETE APPLIED MATHEMATICS , pp.47-61 [Details]
(2000) Cocyclic Hadamard matrices and difference sets
de Launey, W,Flannery, DL,Horadam, KJ (2000) DISCRETE APPLIED MATHEMATICS Cocyclic Hadamard matrices and difference sets , pp.47-61 [Details]
(2019) Groups St Andrews 2017 in Birmingham
A. S. Detinko, D. L. Flannery (2019) Practical computation with linear groups over infinite domains Groups St Andrews 2017 in Birmingham [DOI] [Details]
(2015) Classifying Cocyclic Butson Hadamard Matrices
Egan, R,Flannery, D,Cathain, PO,Colbourn, CJ (2015) ALGEBRAIC DESIGN THEORY AND HADAMARD MATRICES, ADTHM Classifying Cocyclic Butson Hadamard Matrices , pp.93-106 [DOI] [Details]
(2011) Computational Group Theory, Oberwolfach Reports, Volume 8, Issue 3
DETINKO, A., FLANNERY, D. (2011) Computing with matrix groups over infinite fields Computational Group Theory, Oberwolfach Reports, Volume 8, Issue 3 Mathematisches Forschungsinstitut Oberwolfach, , pp.2118-2121 [DOI] [Details]
(2008) The 11th RhineWorkshop on Computer Algebra, Levico Terme
FLANNERY, D., Detinko, A.S. (2008) Computing with matrix groups over infinite domains: deciding finiteness The 11th RhineWorkshop on Computer Algebra, Levico Terme [Details]

Published Reports

  Year Publication
(2019) Experimenting with symplectic hypergeometric monodromy groups.
A. S. Detinko, D. L. Flannery, A. Hulpke (2019) Experimenting with symplectic hypergeometric monodromy groups. Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach. [Details]
(2018) Computing congruence quotients of Zariski dense subgroups.
A. S. Detinko, D. L. Flannery, A. Hulpke (2018) Computing congruence quotients of Zariski dense subgroups. Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach. [Details]
(2017) GAP functionality for Zariski dense groups.
A. S. Detinko, D. L. Flannery, A. Hulpke (2017) GAP functionality for Zariski dense groups. Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach. [Details]
(2017) Experimenting with Zariski dense subgroups.
A. S. Detinko, D. L. Flannery, A. Hulpke (2017) Experimenting with Zariski dense subgroups. Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach. [Details]

Edited Books

  Year Publication
(2013) Probabilistic group theory, combinatorics, and computing.
A. S. Detinko, D. L. Flannery, E. A. O'Brien (Ed.). (2013) Probabilistic group theory, combinatorics, and computing Probabilistic group theory, combinatorics, and computing. Berlin: Springer. [Details]

Article

  Year Publication
(2019) Algebra, matrices, and computers (Snapshots of Mathematics from Oberwolfach).
A. S. Detinko, D. L. Flannery, A. Hulpke (2019) Algebra, matrices, and computers (Snapshots of Mathematics from Oberwolfach). Article [Details]

Computer Program

  Year Publication
(2021) Monomial (https://github.com/eamonnaobrien/Monomial).
D. L. Flannery, E. A. O'Brien (2021) Monomial (https://github.com/eamonnaobrien/Monomial). Computer Program [Details]
(2013) Infinite: a Magma package (http://magma.maths.usyd.edu.au/magma/handbook/matrix_groups_over_infinite_fields).
A. S. Detinko, D. L. Flannery, E. A. O'Brien (2013) Infinite: a Magma package (http://magma.maths.usyd.edu.au/magma/handbook/matrix_groups_over_infinite_fields). Computer Program [Details]
(2007) Refereed GAP4 package 'Nilmat'.
Flannery, D., Detinko, A.S., Eick, B. (2007) Refereed GAP4 package 'Nilmat'. Computer Program [Details]
(2005) Two suites of procedures available as part of the computer algebra system MAGMA, for (i) computing central extensions of finite groups; and (ii) listing the irreducible linear groups of degree less than 4 over finite fields.
D. L. Flannery, E. A. O'Brien (2005) Two suites of procedures available as part of the computer algebra system MAGMA, for (i) computing central extensions of finite groups; and (ii) listing the irreducible linear groups of degree less than 4 over finite fields. Computer Program [Details]

Conference Paper

  Year Publication
(2007) On shift representations.
FLANNERY, D. (2007) On shift representations. Conference Paper [Details]

Editorial

  Year Publication
(2013) Probabilistic Group Theory, Combinatorics, and Computing Lectures from the Fifth de Brun Workshop Preface.
Detinko, A,Flannery, D,OBrien, E (2013) Probabilistic Group Theory, Combinatorics, and Computing Lectures from the Fifth de Brun Workshop Preface. Editorial [Details]
(2010) Guest editorial for the Special Issue on Design Theory.
Flannery, DL,Horadam, KJ (2010) Guest editorial for the Special Issue on Design Theory. Editorial [DOI] [Details]
(2010) Editorial for the Special Issue on Design Theory, Cryptography and Communications: Discrete Structures, Boolean Functions and Sequences.
D. L. Flannery, K. J. Horadam (2010) Editorial for the Special Issue on Design Theory, Cryptography and Communications: Discrete Structures, Boolean Functions and Sequences. Editorial [Details]
(2010) Special Issue on Design Theory, Cryptography and Communications: Discrete Structures, Boolean Functions and Sequences.
D. L. Flannery, K. J. Horadam (2010) Special Issue on Design Theory, Cryptography and Communications: Discrete Structures, Boolean Functions and Sequences. Editorial [Details]
(2005) Groups in Galway 2005 Proceedings.
D. L. Flannery (2005) Groups in Galway 2005 Proceedings. Editorial [Details]

Film or Broadcast

  Year Publication
(2011) Video interview of Professor Cheryl Praeger.
A. S. Detinko, D. L. Flannery, C. E. Praeger (2011) Video interview of Professor Cheryl Praeger. Film or Broadcast [Details]

Guest Lectures

  Year Publication
(2007) Cocyclic development of pairwise combinatorial designs.
FLANNERY, D. (2007) Cocyclic development of pairwise combinatorial designs. University of Trento: Guest Lectures [Details]
(2007) Algorithms for computing with nilpotent matrix groups over infinite domains.
FLANNERY, D. (2007) Algorithms for computing with nilpotent matrix groups over infinite domains. Queen's University, Belfast: Guest Lectures [Details]
(2006) Cocyclic combinatorial designs.
FLANNERY, D. (2006) Cocyclic combinatorial designs. Technische Universit¨at Braunschweig: Guest Lectures [Details]

Invited Lectures

  Year Publication
(2011) Algebraic Design Theory.
D. L. Flannery (2011) Algebraic Design Theory. Invited Lectures [Details]
(2011) Computing with finitely generated linear groups.
D. L. Flannery (2011) Computing with finitely generated linear groups. Invited Lectures [Details]
(2009) Deciding finiteness of matrix groups over arbitrary domains.
FLANNERY, D. (2009) Deciding finiteness of matrix groups over arbitrary domains. NUI, Galway: Invited Lectures [Details]
(2009) Algebra in Design Theory.
D. L. Flannery (2009) Algebra in Design Theory. Invited Lectures [Details]
(2009) Deciding finiteness of matrix groups.
D. L. Flannery (2009) Deciding finiteness of matrix groups. Invited Lectures [Details]
(2008) Group actions on pairwise combinatorial designs.
FLANNERY, D. (2008) Group actions on pairwise combinatorial designs. Invited Lectures [Details]

Invited Seminars

  Year Publication
(2012) Algebra in Design Theory.
D. L. Flannery (2012) Algebra in Design Theory. Invited Seminars [Details]

Reviews

  Year Publication
(2013) 20 article reviews, Mathematical Reviews, American Mathematical Society.
D. L. Flannery (2013) 20 article reviews, Mathematical Reviews, American Mathematical Society. Reviews [Details]

Working Paper

  Year Publication
(2013) Computing with linear groups of finite rank.
A. S. Detinko, D. L. Flannery, E. A. O'Brien (2013) Computing with linear groups of finite rank. Working Paper [Details]
(2013) Effective computation with arithmetic groups satisfying the congruence subgroup property.
A. S. Detinko, D. L. Flannery (2013) Effective computation with arithmetic groups satisfying the congruence subgroup property. Working Paper [Details]

Professional Associations

  Association Function From / To
Irish Mathematical Society Member /

Committees

  Committee Function From / To
PhD examination committee, NUI Galway Internal examiner /
PhD examination committee, Universitat Autònoma de Barcelona External examiner /
Learning, Teaching, and Assessment Member /
Equality, Diversity, and Inclusion Member /

Reviews

  Journal Role
Journal Of Symbolic Computation Reviewer
International Journal Of Algebra And Computation Reviewer
Journal Of The Australian Mathematical Society Editor
Lecture Notes In Computer Science Reviewer
Bulletin Of The Irish Mathematical Society Editor
Archiv Der Mathematik Reviewer
Cryptography And Communications-Discrete-Structures Boolean Functions And Sequences Editor
Discrete Mathematics Reviewer
Theoretical Computer Science Reviewer
Australasian Journal Of Combinatorics Reviewer
Central European Journal Of Mathematics Reviewer
Lms Journal Of Computation And Mathematics Reviewer
Journal Of Combinatorial Designs Reviewer
Journal Of Combinatorial Theory Series A Reviewer
Bulletin Of The Korean Mathematical Society Reviewer
Communications In Algebra Reviewer
Journal Of Algebra Reviewer

Other Activities

  Description

Member of the Associate Peer Review College, Engineering and Physical Sciences Research Council UK.

Reviewer for the Natural Sciences and Engineering Research Council of Canada.

Reviewer for the Banff International Research Station.

Reviewer for the European Science Foundation.

Teaching Interests

Decades of experience in Irish and Australian tertiary systems. Broad-based accomplishment in curriculum design, teaching innovation, degree management, and promotion at all undergraduate and postgraduate levels: MSc, MSc in Communications Systems, BSc Financial Mathematics & Economics, Bachelor of Mathematical Science, BSc Mathematics, Bachelor of Arts (Mathematical Studies).

Expertise in delivering modules in many areas of pure and applied mathematics; for example: Analysis, Artificial Intelligence, Calculus,  Coding Theory, Combinatorics, Cryptography, Design Theory, Graph Theory, Group Theory, Linear Algebra, Logic, History of Mathematics, Neural Networks, Numerical Analysis, Operations Research, Rings and Fields.

Recent Postgraduate Students

  Graduation Name Degree Primary Supervisor
2015 Ronan Egan DOCTOR OF PHILOSOPHY Y

Modules Taught

  Term/Year Module Title Module Code Subject / Desc
Second/First Mathematics MA180, MA186, MA190
First/Third and Fourth Logic CS3304
First/Third and Fourth Ring Theory MA416
Second/Second Mathematics and Applied Mathematics MA2102
Second/First Mathematical Studies MA161-2

External Collaborators

  Name Organisation / Institute Country Description of Collaboration
Professor Alexander Hulpke Colorado State University U.S.A.
Jointly authored papers and software.
Dr Alla Detinko University of Huddersfield UNITED KINGDOM
Jointly authored papers and software.
Dr Padraig Ó Catháin Worcester Polytechnic Institute U.S.A.
Jointly authored papers.
Dr J. A. Amario Universidad de Sevilla SPAIN
Jointly authored papers.
Dr Ronan Egan Dublin City University IRELAND
Jointly authored papers.
Professor Eamonn O'Brien University of Auckland NEW ZEALAND
Jointly authored papers and software.