Position

Casual Academic
School of Computer Sc, Engineering & Mathematics

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 (from Berkshire, 1792 Royal Admiral); According to the Oxford Journal of 7th January 1792 (got this from Helen Auld of Kensington Park, SA), the Rev Vice-Chancellor of Oxford University remanded her and 3 relatives "of the Gypsey nation" to the higher Assizes in Reading or Abingdon, Berkshire, whence she went on the trip to Australia with her sister Priscilla. On board they had two daughters. Their cell-mate on the Royal Admiral was Mary Reibey, a likeness of whom is to be found on the current Australia $20 note. For Westpac fans, she owned the first premises of the Bank of NSW.

James Clissold 4th-ggf, (marine on first ship HMS Calcutta 1803 to Port Phillip Bay, now Melbourne); One of the first games of cricket in Australia is purported to have been between the men on this war ship of the Royal Navy, berthed in Sydney.

Mary Carn-Davies 4th-ggm, (Welsh convict, Experiment 1804), married to Clissold on the banks of the Derwent in Hobart Town 1807;
Charlotte Loveridge 4th-ggm, (born on Royal Admiral off Senegal 1792, daughter of Mary);
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, (maid 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).
Senegal, Berkshire, (Royal Admiral), Windsor, ship's log, HMS Calcutta, interestingdetails, Port 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, 2015
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 interests

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

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 many 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 over 800 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 is 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 work is on the emergence of geometry in physics; see Cosmology = Topology/Geometry: Mathematical Evidence for the Holographic Principle, coauthored with Prof. Adel Alahmadi of KAU, Saudi Arabia, published 2016 by the Royal Society of Tasmania. Another popular paper by Glynn is the "Permanent of a square matrix" (2010), which has been number one in the top downloads list for European Journal of Combinatorics, an Elsevier journal, for most of 2016.

Publications

  • 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.
    [10.1007/BFb0071521] [10.1007/BFb0071521]
  • Alahmadi, A.N. and Glynn, D. (2017). Multiple Hamilton Cycles in Bipartite Cubic Graphs: an Algebraic Method. FINITE FIELDS AND THEIR APPLICATIONS, 44(March) pp. 18-21.
    [10.1016/j.ffa.2016.11.006]
  • Alahmadi, A.N. and Glynn, D. (2016). Cosmology = Topology/Geometry: Mathematical Evidence for the Holographic Principle. PAPERS AND PROCEEDINGS OF THE ROYAL SOCIETY OF TASMANIA, 150(1) pp. 31-38.
  • Beelen, P., Glynn, D., Hoholdt, T. and Kaipa, K. (2016). Counting Generalized Reed–Solomon Codes. Advances in Mathematics of Communications,
  • Glynn, D. (2015). A slant on the twisted determinants theorem. Bulletin of the Institute of Combinatorics and its Applications, 73(January) pp. 121-127.
    [Web Link] [Web Link]
  • Glynn, D. (2013). Nonfactorizable nonsingular hypercubes. Designs Codes and Cryptography, 68(1-3) pp. 195-203.
    [10.1007/s10623-011-9585-y] [Scopus]
  • Glynn, D. (2013). A rabbit hole between topology and geometry. ISRN Geometry, 2013(379074)
    [10.1155/2013/379074] [Web 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] [Scopus]
  • Glynn, D. (2012). An invariant for hypersurfaces in prime characteristic. Siam Journal on Discrete Mathematics, 26(3) pp. 881-883.
    [10.1137/110823274] [Scopus]
  • 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] [Scopus]
  • 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] [Scopus]
  • 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] [Scopus]
  • 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.
    [10.1007/s10623-010-9392-x] [Scopus]
  • Glynn, D. (2010). The permanent of a square matrix. European Journal of Combinatorics, 31(7) pp. 1887-1891.
    [10.1016/j.ejc.2010.01.010] [Scopus]
  • 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.
    [10.1137/090773751] [Scopus]
  • Glynn, D. (2010). Theorems of points and planes in three-dimensional projective space. Journal of the Australian Mathematical Society, 88 pp. 75-92.
    [10.1017/S1446788708080981] [Scopus]
  • Glynn, D. (2007). A note on NK configurations and theorems in projective space. Bulletin of the Australian Mathematical Society, 76(1) pp. 15-31.
    [10.1017/S0004972700039435] [Scopus]
  • Glynn, D., Gulliver, T. and Gupta, M. (2007). On some quaternary self-orthogonal codes. Ars Combinatoria, 85 pp. 129-154.
    [Scopus] [Web Link]
  • Glynn, D., Gulliver, T. and Gupta, M. (2006). Linear transformations on codes. Discrete Mathematics, 306(16) pp. 1871-1880.
    [10.1016/j.disc.2006.03.068] [Scopus]
  • 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.
    [10.1007/s10623-006-0028-0] [Scopus]
  • Glynn, D. (2004). On the Orthogonality of Geometric Codes. Designs Codes and Cryptography, 31(1) pp. 43-50.
    [10.1023/A:1027334503048] [10.1023/A:1027334503048]
  • Glynn, D. and Steinke, G.F. (2002). Translation Laguerre Planes of Order 16. European Journal of Combinatorics, 14 pp. 529-539.
    [10.1006/eujc.1993.1056] [10.1006/eujc.1993.1056]
  • Glynn, D. (1999). On the Anti-Pappian 103 and its Construction. GEOMETRIAE DEDICATA, 77(1) pp. 71-75.
    [10.1023/A:1005167220050] [10.1023/A:1005167220050]
  • Glynn, D. (1997). The Classification of Projective Planes of Order q3 with Cone-Representations in PG (6, q) GEOMETRIAE DEDICATA, 66(3) pp. 343-355.
    [10.1023/A:1004917613377] [10.1023/A:1004917613377]
  • Glynn, D. and Hirschfeld, J.W.P. (1995). On the classification of geometric codes by polynomial functions. Designs Codes and Cryptography, 6(3) pp. 189-204.
    [10.1007/BF01388474] [10.1007/BF01388474]
  • Glynn, D. and Steinke, G.F. (1994). Laguerre planes of even order and translation ovals. GEOMETRIAE DEDICATA, 51 pp. 105-112.
    [10.1007/BF01265322] [10.1007/BF01265322]
  • Glynn, D. and Steinke, G.F. (1994). Pencils of translation ovals in translation planes. GEOMETRIAE DEDICATA, 51(2) pp. 113-121.
    [10.1007/BF01265323] [10.1007/BF01265323]
  • Glynn, D. and Steinke, G.F. (1993). On Conics that are Ovals in a Hall Plane. European Journal of Combinatorics, 14 pp. 521-528.
    [10.1006/eujc.1993.1055] [10.1006/eujc.1993.1055]
  • Glynn, D. (1989). A condition for the existence of ovals in PG(2, q), q even. GEOMETRIAE DEDICATA, 32(2) pp. 247-252.
    [10.1007/BF00147433] [10.1007/BF00147433]
  • Glynn, D. (1988). On a set of lines of PG(3, q) corresponding to a maximal cap contained in the Klein quadric of PG (5, q) GEOMETRIAE DEDICATA, 26(3) pp. 273-280.
    [10.1007/BF00183019] [10.1007/BF00183019]
  • Casse, L.R.A. and Glynn, D. (1981). The solution to Beniamino Segre's problem I r,q , r=3, q=2h. GEOMETRIAE DEDICATA, 13(2) pp. 157-163.
    [10.1007/BF00147659] [10.1007/BF00147659]
  • 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.
    [10.1007/BFb0071521] [10.1007/BFb0071521]
  • Alahmadi, A.N. and Glynn, D. (2017). Multiple Hamilton Cycles in Bipartite Cubic Graphs: an Algebraic Method. FINITE FIELDS AND THEIR APPLICATIONS, 44(March) pp. 18-21.
    [10.1016/j.ffa.2016.11.006]
  • Alahmadi, A.N. and Glynn, D. (2016). Cosmology = Topology/Geometry: Mathematical Evidence for the Holographic Principle. PAPERS AND PROCEEDINGS OF THE ROYAL SOCIETY OF TASMANIA, 150(1) pp. 31-38.
  • Beelen, P., Glynn, D., Hoholdt, T. and Kaipa, K. (2016). Counting Generalized Reed–Solomon Codes. Advances in Mathematics of Communications,
  • Glynn, D. (2015). A slant on the twisted determinants theorem. Bulletin of the Institute of Combinatorics and its Applications, 73(January) pp. 121-127.
    [Web Link] [Web Link]
  • Glynn, D. (2013). A rabbit hole between topology and geometry. ISRN Geometry, 2013(379074)
    [10.1155/2013/379074] [Web Link]
  • Glynn, D. (2011). An invariant for matrices and sets of points in prime characteristic. Designs Codes and Cryptography, 58(2) pp. 155-172.
    [10.1007/s10623-010-9392-x] [Scopus]
  • 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.
    [10.1137/090773751] [Scopus]
  • Glynn, D. (2010). The permanent of a square matrix. European Journal of Combinatorics, 31(7) pp. 1887-1891.
    [10.1016/j.ejc.2010.01.010] [Scopus]
  • Glynn, D., Gulliver, T. and Gupta, M. (2006). Linear transformations on codes. Discrete Mathematics, 306(16) pp. 1871-1880.
    [10.1016/j.disc.2006.03.068] [Scopus]

Professional and community engagement

South Australian Road Runners and Walkers Club, aboriginal stone tools, chess

Expertise for media contact

Subject Titles

  • Mathematics

Interests

  • geometry, codes, algebra

Contact

Add to address book
Phone: +61 8 82017582
Email:
Location: Tonsley (4.44)
Postal address: GPO Box 2100, Adelaide 5001, South Australia

Further information

Assessor for the Australian Research Council (ARC) as an "expert of International standing", and also expert referee for the European Commission FP7 and H2020, in the Mathematics, Engineering, Physics and IT areas. (The budget for H2020 is about $A 150 billion over 6-7 years. The annual ARC budget is a bit less than $A 1 billion.) Distinguished Adjunct Professor at KAU in Jeddah, Saudi Arabia.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).

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inspiring achievement