Flinders University
Dr David Glynn
Dr
David
Glynn
Flinders University
http://www.flinders.edu.au/people/david.glynn
8_4 configuration in 3-d space
| Position/s: | Adjunct Research Fellow School of Computer Science, Engineering and Mathematics |
| Phone: | +61 8 82017582 |
| Email: | david.glynn@flinders.edu.au |
| Location: | Information, Science & Technology (232) |
| Postal address: | GPO Box 2100, Adelaide 5001, South Australia |
Biography
Many Australians are proud of their convict heritage:
Charlotte Loveridge born 1792 off the Senegal coast of West Africa to Mary Loveridge/Hornsby, teenage gypsy from Berkshire,
convicted with her sister Priscilla for stealing cloth. Mary married seaman Thomas Dargin (Royal Admiral) and they owned pubs in Windsor, near Sydney.
Mary Carn/Davies, convicted Pembroke Wales. "Experiment" arrived 24/6/1804 ship's log, when Matthew Flinders first
used the word "Australia". Married marine James Clissold 17/10/1808 in Hobart.
He came on the HMS Calcutta 1803 interestingdetails that brought another convict ship Ocean to Port Phillip Bay, although they soon moved to Van Diemen's Land.
Robert Ferguson/Grant (Mellish 1828 entering Sydney), convicted of stealing fowls in Edinburgh.
He married an Irish maid, Sarah Lynam, who was employed about 1835 in the house Goderich Lodge of Thomas Macquoid,
the first permanent High Sheriff of NSW.
Qualifications
B.Sc., B.Sc.(Hons.), Ph.D. (University of Adelaide, 1980)
Honours, awards and grants
Von Humboldt Fellow, Erlangen, West Germany, 1979
Consiglio Nazionale della Ricerca Fellow, Firenze, Italy 1980
QEII Fellow, Adelaide, 1984
Foundation Fellow of the Institute of Combinatorics and its Applications, 1990
Marsden Fund Grant (Royal Society of NZ) in Quantum Codes 2001
Teaching
Teaching interests
Geometry, Discrete Mathematics, Combinatorics, Linear and Non-Linear Algebra, Group Theory and Fields, Coding Theory, History of Mathematics
Research and consultancy
Research interests
Foundations of Geometry, Finite Geometry, Combinatorics, Invariant Theory (Hyperdeterminants, Determinant-like functions),
Coding Theory, Quantum Codes.
My 1983 Adelaide conference paper "Two new sequences of ovals in finite Desarguesian planes of even order" has 55 citations on Google Scholar. It contains the first new monomial (hyper)ovals after those of the Italian geometer Beniamino Segre. These ovals produce nice types of MDS error-correcting codes, which are used e.g. in CD's, DVD's, space communications, and QR (quick-response) codes.
Publications
Refereed journal articles
Glynn, D. & Byatt, D., 2012. Graphs for orthogonal arrays and projective planes of even order. Siam Journal on Discrete Mathematics.
Glynn, D., 2012. An invariant for hypersurfaces in prime characteristic. Siam Journal on Discrete Mathematics.
Glynn, D., 2012. Permanent Formulae from the Veronesean. Designs Codes and Cryptography.
Glynn, D., 2012. The factorization of the permanent of a matrix with minimal rank in prime characteristic. Designs Codes and Cryptography, 62(2), 175-177.
Glynn, D., 2011. A condition for arcs and MDS codes. Designs Codes and Cryptography, 58(2), 215-218.
Glynn, D., 2011. Nonfactorizable nonsingular hypercubes. Designs Codes and Cryptography.
Glynn, D., 2011. A short proof of the transversal theorem for Latin squares of even order. Bulletin of the Institute of Combinatorics and its Applications, 63, 73-76.
Glynn, D., 2011. An invariant for matrices and sets of points in prime characteristic. Designs Codes and Cryptography, 58(2), 155-172.
Glynn, D., 2010. The conjectures of Alon-Tarsi and Rota in dimension prime minus one. Siam Journal on Discrete Mathematics, 24(2), 394-399.
Glynn, D., 2010. Theorems of points and planes in three-dimensional projective space. Journal of the Australian Mathematical Society, 88, 75-92.
Refereed journal articles
Glynn, D., 2012. Permanent Formulae from the Veronesean. Designs Codes and Cryptography.
Glynn, D., 2012. An invariant for hypersurfaces in prime characteristic. Siam Journal on Discrete Mathematics.
Glynn, D. & Byatt, D., 2012. Graphs for orthogonal arrays and projective planes of even order. Siam Journal on Discrete Mathematics.
Glynn, D., 2012. The factorization of the permanent of a matrix with minimal rank in prime characteristic. Designs Codes and Cryptography, 62(2), 175-177.
Glynn, D., 2011. An invariant for matrices and sets of points in prime characteristic. Designs Codes and Cryptography, 58(2), 155-172.
Glynn, D., 2011. A short proof of the transversal theorem for Latin squares of even order. Bulletin of the Institute of Combinatorics and its Applications, 63, 73-76.
Glynn, D., 2011. A condition for arcs and MDS codes. Designs Codes and Cryptography, 58(2), 215-218.
Glynn, D., 2011. Nonfactorizable nonsingular hypercubes. Designs Codes and Cryptography.
Glynn, D., 2010. The conjectures of Alon-Tarsi and Rota in dimension prime minus one. Siam Journal on Discrete Mathematics, 24(2), 394-399.
Glynn, D., 2010. The permanent of a square matrix. European Journal of Combinatorics, 31(7), 1887-1891.
Glynn, D., 2010. Theorems of points and planes in three-dimensional projective space. Journal of the Australian Mathematical Society, 88, 75-92.
Glynn, D., 2007. A note on NK configurations and theorems in projective space. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 76(1), 15-31.
Glynn, D., Gulliver, T.A., & Gupta, M.K., 2007. On some quaternary self-orthogonal codes. ARS COMBINATORIA, 85, 129-154.
Glynn, D., Gulliver, T.A., & Gupta, M.K., 2006. Linear transformations on codes. DISCRETE MATHEMATICS, 306(16), 1871-1880.
Glynn, D., Maks, J.G., & Casse, R., 2006. The polynomial degree of the Grassmannian G(1,n,q) of lines in finite projective space PG(n,q). Designs Codes and Cryptography, 40, 335-341.
Refereed conference papers
Glynn, D., 1983. Two new sequences of ovals in finite desarguesian planes of even order. Springer Lecture Notes in Mathematics, 1036/1983, 217-229.
Professional and community engagement
South Australian Road Runners and Walkers Club, aboriginal stone tools, chess
Expertise for media contact
- geometry, codes, algebra
Subject/s
- Mathematics
Further information
Assessor for the Australian Research Council (ARC) as an "expert of International standing".
Citations on Google Scholar
My great^5 grandmother Mary Loveridge (The Red Lion formerly Green Dragon, George St, Windsor, NSW, next to what is now the oldest running pub in Australia) had many Dargin sons and daughters, many of whom were also publicans: John (Coach and Arms 1832 later Melbourne Hotel, yearly license tax 25 pounds), now the Post Office, Kelso, near Bathurst 200 km west of Sydney, the oldest pub west of the Great Divide), William (The Bee Hive, York St, The Crown, The Emu, The Bulls Head, The New Inn, George St, Sydney), James (The Highland Laddie, Bathurst, The Irish Arms, Sydney Rd, Parramatta), Sophia (Coach and Arms, Kelso, yearly tax in 1854 for a license was 50 pounds with two people giving surities of 50 pound each), My Aunt Shirley also ran several large pubs in Perth.
