## Dane Flannery

- Personal Professor in Mathematics
Phone: +353 91 493587; Fax: +353 91 494542

School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland

- E-mail: dane.flannery@nuigalway.ie

## Current research

Linear (matrix) groupsAlgebraic design theory

- Classifying finite monomial groups in characteristic zero and any prime degree
- Experimentation with symplectic monodromy groups
- Strong approximation and computing with linear groups
- Long survey on linear groups and computation (2018)
- Practical algorithms for Zariski dense subgroups
- Oberwolfach preprint 1, Oberwolfach preprint 2, Oberwolfach preprint 3
- Zariski density and computing in arithmetic groups
- L. G. Kovács and linear groups
- Computing with arithmetic groups that have the congruence subgroup property
- Arithmeticity and integrality of solvable linear groups
- Computing with linear groups of finite rank
- Recognizing finite matrix groups
- Deciding virtual properties of linear groups
- Short survey on computing with matrix groups over infinite fields (2009)

- Early steps in computing with matrix groups over infinite fields (1) , (2) , (3)
- Nilpotent and locally nilpotent linear groups (1) , (2)
- More classifications of linear groups (1) , (2) , (3) , (4) , (5)
- Magma chapter on computing with matrix groups over infinite fields

- Implementation of the classification of finite monomial linear groups of prime degree
- Refereed Gap4 package Nilmat

- Book co-authored with Warwick de Launey
- Special Issue on Design Theory
- On quasi-orthogonal cocycles
- Generalized binary arrays from quasi-orthogonal cocycles
- Almost supplementary difference sets and optimal quaternary sequences
- Quasi-orthogonal cocycles, optimal sequences, and a conjecture of Littlewood's
- Automorphisms of generalized Sylvester Hadamard matrices
- On linear shift representations
- Classifying cocyclic Butson Hadamard matrices

Probabilistic group theory, combinatorics, and computing

More details

A snapshot!

Conferences

- Workshop on algebraic design theory and Hadamard matrices, Lethbridge, Canada
- Banff (1): Algebraic design theory with Hadamard matrices: applications, current trends and future directions
- Banff (2): Algorithms for linear groups. Video!
- International Workshop on Hadamard Matrices and Their Applications, 28-30 November 2011, RMIT, Australia
- Computational Group Theory, Oberwolfach. Report
- Fifth de Brún Workshop
- Third de Brún Workshop on Computational Algebra
- International Conference on Design Theory and Applications

Funding

- PI of three Science Foundation Ireland Research Frontiers Programme awards: 11/RFP/MTH3212, 08/RFP/MTH1331, and RFP05/MAT0008
- Co-PI of a Science Foundation Ireland Mathematics Initiative 2007 award, 07/MI/007
- PI of two Irish Research Council New Foundations awards (2014 and 2015)
Tobias Rossmann (co-supervised with Alla Detinko, 2011), Padraig Ó Catháin (2012), Ronan Egan (2015)

Doctoral students

In memoriam Laci Kovács