Dr 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:
Location: Information, Science & Technology (232)
Postal address: GPO Box 2100, Adelaide 5001, South Australia

Biography

Some direct ancestors of mine who came to Australia: 2nd-ggf/m=2nd great-grandfather/mother:
Thomas Walker 4th-ggf, (arrived as freeman on the Active 1791);
Mary Loveridge 5th-ggm (gypsy convict from Berkshire, 1792 Royal Admiral);
James Clissold 4th-ggf, (marine on first ship HMS Calcutta 1803 to Port Phillip Bay, now Melbourne);
Mary Carn-Davies 4th-ggm, (Welsh convict, Experiment 1804);
Charlotte Loveridge 4th-ggm, (born on Royal Admiral off Senegal 1792);
Robert Grant-Ferguson 2nd-ggf, (convict from Edinburgh, Mellish 1828);
George Reid 3rd-ggf, (Fusilier 21st Regiment, Sydney Cove 1833, Perth 1835);
Sarah Lynam 2nd-ggm, (servant to High Sheriff of NSW from Cork Ireland, James Pattison 1838);
Archibald Smith 1st-ggf, (minister from Paisley, Eleutheria 1844);
Harold Glynn 1st-ggf, (accountant Liverpool, Gulf of St Vincent 1884).
SenegalBerkshire, (Royal Admiral), Windsorship's logHMS Calcutta, interestingdetailsPort Phillip Bay, Van Diemen's Land, entering Sydney, Goderich Lodge  

Qualifications

B.Sc., B.Sc.(Hons.), Ph.D. (University of Adelaide, 1980)

Honours, awards and grants

Distinguished Adjunct Professor, King Abdulaziz University (KAU), Jeddah, Saudi Arabia, 2014
Marsden Fund Grant (Royal Society of NZ) in Quantum Codes 2001
Foundation Fellow of the Institute of Combinatorics and its Applications, 1990
QEII Fellow, Adelaide, 1984
Consiglio Nazionale della Ricerca Fellow, Firenze, Italy 1980
Von Humboldt Fellow, Erlangen, West Germany, 1979

Teaching

Teaching interests

Geometry, Discrete Mathematics, Combinatorics, Linear and Non-Linear Algebra, Group Theory and Fields, Coding Theory, History of Mathematics

Research and supervision

Research expertise

  • Communications technologies
  • Computation theory and mathematics
  • History and philosophy of specific fields
  • Mathematics sciences

Research interests

Foundations of Geometry, Finite Geometry, Combinatorics, Invariant Theory (Hyperdeterminants, Determinant-like functions),
Coding Theory, Quantum Codes.
Glynn's 1983 Adelaide conference paper "Two new sequences of ovals in finite Desarguesian planes of even order" has 62 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.  He has 661 citations on GoogleScholar.  On 16 October 2012 Glynn gave a talk at the University of Ghent, RUG, Belgium, on "New Methods in Geometry, Combinatorics and Algebra".  He also gave a talk on "Hamilton Cycles of Cubic Graphs" at the International Graph Theory Workshop at CSEM, Flinders, Dec. 14-15, 2012. There should soon be a summary of talks with some copies of the slides at 20 Talk Summaries.  For those who register (for free) at ResearchGate there is a list of Glynn's work and downloads at ResearchGate.
Glynn's latest paper is "A rabbit hole between topology and geometry", in print at ISRN Geometry. Related to this he now has a proof of Desargues theorem in any plane over a skew field, using the existence of a certain planar graph.

Publications

Refereed journal articles
  • Glynn, D. (2013). A rabbit hole between topology and geometry. ISRN Geometry, [Link]
  • Glynn, D. (2013). Nonfactorizable nonsingular hypercubes. Designs Codes and Cryptography, 68(1-3) pp. 195-203. [10.1007/s10623-011-9585-y]
  • Glynn, D. (2013). Permanent Formulae from the Veronesean. Designs Codes and Cryptography, 68(1-3) pp. 39-47. [10.1007/s10623-012-9618-1]
  • Glynn, D. (2012). An invariant for hypersurfaces in prime characteristic. Siam Journal on Discrete Mathematics, 26(3) pp. 881-883. [10.1137/110823274]
  • Glynn, D. (2012). The factorization of the permanent of a matrix with minimal rank in prime characteristic. Designs Codes and Cryptography, 62(2) pp. 175-177. [10.1007/s10623-011-9501-5]
  • Glynn, D. and Byatt, D. (2012). Graphs for orthogonal arrays and projective planes of even order. Siam Journal on Discrete Mathematics, 26(3) pp. 1076-1087. [10.1137/100809155]
  • Glynn, D. (2011). A condition for arcs and MDS codes. Designs Codes and Cryptography, 58(2) pp. 215-218. [10.1007/s10623-010-9404-x]
  • 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 pp. 73-76.
  • Glynn, D. (2011). An invariant for matrices and sets of points in prime characteristic. Designs Codes and Cryptography, 58(2) pp. 155-172. [doi:10.1007/s10623-010-9392-x]

Show all publications

Refereed journal articles
  • Glynn, D. (2013). Nonfactorizable nonsingular hypercubes. Designs Codes and Cryptography, 68(1-3) pp. 195-203. [10.1007/s10623-011-9585-y]
  • Glynn, D. (2013). A rabbit hole between topology and geometry. ISRN Geometry, [Link]
  • Glynn, D. (2013). Permanent Formulae from the Veronesean. Designs Codes and Cryptography, 68(1-3) pp. 39-47. [10.1007/s10623-012-9618-1]
  • Glynn, D. (2012). An invariant for hypersurfaces in prime characteristic. Siam Journal on Discrete Mathematics, 26(3) pp. 881-883. [10.1137/110823274]
  • Glynn, D. (2012). The factorization of the permanent of a matrix with minimal rank in prime characteristic. Designs Codes and Cryptography, 62(2) pp. 175-177. [10.1007/s10623-011-9501-5]
  • Glynn, D. and Byatt, D. (2012). Graphs for orthogonal arrays and projective planes of even order. Siam Journal on Discrete Mathematics, 26(3) pp. 1076-1087. [10.1137/100809155]
  • 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 pp. 73-76.
  • Glynn, D. (2011). A condition for arcs and MDS codes. Designs Codes and Cryptography, 58(2) pp. 215-218. [10.1007/s10623-010-9404-x]
  • Glynn, D. (2011). An invariant for matrices and sets of points in prime characteristic. Designs Codes and Cryptography, 58(2) pp. 155-172. [doi:10.1007/s10623-010-9392-x]
  • Glynn, D. (2010). The conjectures of Alon-Tarsi and Rota in dimension prime minus one. Siam Journal on Discrete Mathematics, 24(2) pp. 394-399. [doi:10.1137/090773751]
  • Glynn, D. (2010). Theorems of points and planes in three-dimensional projective space. Journal of the Australian Mathematical Society, 88 pp. 75-92. [doi:10.1017/S1446788708080981]
  • Glynn, D. (2007). A note on NK configurations and theorems in projective space. Bulletin of the Australian Mathematical Society, 76(1) pp. 15-31. [DOI:10.1017/S0004972700039435]
  • Glynn, D., Gulliver, T. and Gupta, M. (2007). On some quaternary self-orthogonal codes. Ars Combinatoria, 85 pp. 129-154. [Link]
  • Glynn, D., Gulliver, T. and Gupta, M. (2006). Linear transformations on codes. Discrete Mathematics, 306(16) pp. 1871-1880. [doi:10.1016/j.disc.2006.03.068]
  • Glynn, D., Maks, J. and 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 pp. 335-341. [DOI: 10.1007/s10623-006-0028-0]
Refereed conference papers
  • Glynn, D. (1983). Two new sequences of ovals in finite desarguesian planes of even order. In L.R.A. Casse, ed. Lecture Notes in Mathematics. Berlin: Springer Verlag. Combinatorial Mathematics X. Adelaide, South Australia. Aug 1982, pp. 217-229. [DOI: 10.1007/BFb0071521]

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Professional and community engagement

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.



inspiring achievement