Publications

  1. With Steven Bauman, A note on subnormal and abnormal chains, J. Algebra 36 (1975), 287-293.

  2. Disjoint circles: a classification, Trans. AMS 232 (1977), 83-109.

  3. Translation planes of order q^2: asymptotic estimates, Trans. AMS 238 (1978), 301-308.

  4. Maximal strictly partial spreads, Canad. J. Math. 30 (1978), 483-489.

  5. Blocking sets in projective spaces, Canad. J. Math. 30 (1978), 856-862.

  6. Amusing configurations of disjoint circles, Ars Combin. 6 (1978), 197-207.

  7. A new lower bound for msp spreads, Congressus Numerantium 23 (1979), 413-421.

  8. With R. D. Baker, Elliptic semiplanes II: structure theory, Ars Combin. 12 (1981), 147-164.

  9. With R.D. Baker, Denniston designs and the search for elliptic semiplanes, Congressus Numerantium 39 (1983), 101-106.

  10. Subregular l-spreads of PG(2n+1,2), Geom. Dedicata 14 (1983), 343-353.

  11. Some comments on the modular approach to Groebner-bases, ACM SIGSAM Bull. 17, No. 2 (1983), 28-32.

  12. With R. D. Baker, Spreads and packings for a class of (( 2^n + 1)(2^{n-1} - 1) +1,2^{n-1}, 1)-designs, J. Combin. Theory, Ser. A 40, No. 1 (1985), 45-54.

  13. Partitioning projective geometries into caps, Canad. J. Math. 37, No. 6 (1985), 1163-1175.

  14. The completion problem for partial packings, Geom. Dedicata 18 (1985), 261-267.

  15. Spreads obtained from ovoidal fibrations, Finite Geometries, Lecture Notes in Pure and Appl. Math., Vol. 103, Marcel Dekker, New York, 1985, pp. 117-126.

  16. With R. D. Baker, Enumeration of two-dimensional flag-transitive planes, Algebras, Groups, and Geometries 3 (1985), 248-257.

  17. With R.D. Baker, A nonlinear flock in the Minkowski plane of order 11, Congressus Numerantium 58 (1987), 75-81.

  18. With R. D. Baker, Construction of two-dimensional flag-transitive planes, Geom. Dedicata 27 (1988), 9-14.

  19. With R. D. Baker, A new class of translation planes, Annals of Discete Math. 37 (1988), 7-20.

  20. With R. D. Baker and R. Weida, Another look at Bruen chains, J. Combin. Theory, Ser. A 48, No. 1 (1988), 77-90.

  21. With R. D. Baker, Nests of size q-1 and another family of translation planes, J. London Math. Soc. 38, No. 2 (1988), 341-355.

  22. Nests, covers, and translation planes, Ars Combin. 25c (1988), 213-233.

  23. Spreads admitting regular elliptic covers, Europ. J. Combin. 10 (1989), 319-330.

  24. With R.D. Baker, Intersection of unitals in the desarguesian plane, Congressus Numerantium 70 (1990), 87-94.

  25. With J. Hemmeter, F. Lazebnik and A. Woldar, Irregularity strengths for certain graphs, Congressus Numerantium 71 (1990), 39-52.

  26. Some nonreplaceable nests, Combinatorics '88, Vol. 1, ed. A. Barlotti, et al, Research and Lecture Notes in Mathematics, Mediterranean Press, 1991, pp. 353-372.

  27. With J. Hemmeter, F. Lazebnik and A. Woldar, On the number of irregular assignments on a graph, Discrete Math. 93 (1991), 131-142.

  28. With R.D. Baker, On Buekenhout-Metz unitals of odd order, J. Combin. Theory, Ser. A 60 (1992), 67-84.

  29. On Buehenhout-Metz unitals of even order, Europ. J. Comb. 13 (1992), 109-117.

  30. Some results on two-dimensional translation planes, Conferenze del Seminario di Matematica dell' Universita di Bari 246 (1992), 1-12.

  31. With R. D. Baker, G. Korchmaros and T. Szonyi, Orthogonally divergent spreads of Hermitian curves, Finite Geometry and Combinatorics, ed. by F. De Clerck, et al, Cambridge Univ Press, 1993, pp. 17-30.

  32. Inversive planes with a given collection of common blocks, Discrete Math. 131 (1994), 81-90.

  33. With R. D. Baker, A Bruen chain for q=19, Designs, Codes and Cryptog. 4 (1994), 307-312.

  34. With R. D. Baker, J. M. N. Brown and J. C. Fisher, Projective bundles, Bull. Belg. Math. Soc. 3 (1994), 329-336.

  35. With R. D. Baker, Two-dimensional flag-transitive planes revisited, Geom. Dedicata 63 (1995), 1-15.

  36. With R. D. Baker, J. Hemmeter and A. Woldar, Maximal cliques in the Paley graph of square order, J. Stat. Plann. Inf. 56 (1996), 33-38.

  37. With R. D. Baker, Filling the nest gaps, Finite Fields and Their Applications 2 (1996), 42-61.

  38. With K. Wantz, A group theoretic characterization of Buekenhout-Metz unitals, J. Combinatorial Designs 4 (1996), 143-152.

  39. With R. D. Baker, Regulus-Free spreads of PG(3,q), Designs, Codes and Cryptog. 8 (1996), 79-89.

  40. Buekenhout-Tits unitals , J. Algebraic Combin. 6 (1997), 133-140.

  41. Replaceable nests, Mostly Finite Geometries , ed. N.L. Johnson, Lecture Notes in Pure and Applied Mathematics, Vol. 190, Marcel Dekker, 1997, pp. 35-49.

  42. With K. Metsch and T. Szonyi, Caps embedded in Grassmannians , Geom. Dedicata 70 (1998), 181-196.

  43. Hermitian arcs, Rendiconti del Circolo Matematico di Palermo 51, Serie II (1998), 87-105.

  44. Partitioning problems and flag-transitive planes, Rendiconti del Circolo Matematico di Palermo 53, Serie II (1998), 27-44.

  45. With R.D. Baker, A. Bonisoli, and A. Cossidente, Mixed partitions of PG(5,q), Discrete Math. 208/209 (1999), 23-29.

  46. Buekenhout unitals, Discrete Math. 208/209 (1999), 247-260.

  47. With R.D. Baker, J.M. Dover, and K.L. Wantz, Hyperbolic fibrations in PG(3,q), Europ. J. Combin. 20 (1999), 1-16.

  48. With J.W.P. Hirschfeld, Complete systems of lines on a Hermitian surface over a finite field, Designs, Codes and Cryptog. 17 (1999), 253-268.

  49. With A. Cossidente and G. Korchmaros, A group-theoretic characterization of classical unitals , Archiv. Math. 74 (2000), 1-5.

  50. With R.D. Baker, J.M. Dover, and K.L. Wantz, Baer subgeometry partitions , J. Geometry 67 (2000), 23-34.

  51. With R.D. Baker, J.M. Dover, and K.L. Wantz, Perfect Baer subplane partitions and three-dimensional flag-transitive planes , Designs, Codes and Cryptog. 21 (2000), 19-39.

  52. Constructions in finite geometry using computer algebra systems, J. Symbol. Comp. 31 (2001), 55-70.

  53. With R.D. Baker, Singer line orbits in PG(3,q), J. Stat. Plann. Inf. 95 (2001), 75-88.

  54. With R.D. Baker and K.L. Wantz, Regular hyperbolic fibrations , Adv. Geom. 1 (2001), 119-144.

  55. With R.D. Baker, K.H. Leung, and Q. Xiang, A trace conjecture and flag-transitive planes , J. Combin. Theory, Ser. A 95 (2001), 158-168.

  56. With S. Egner, H. Hollmann, and Q. Xiang, On a four-class association scheme , J. Combin. Theory, Ser. A 96 (2001), 180-191.

  57. With A. Cossidente and G. Korchmaros, Unitals in finite Desarguesian planes , J. Algebraic Combin. 14 (2001), 119-125.

  58. With A. Aguglia, A combinatorial characterization of classical unitals , Archiv. Math. 78 (2002), 166-172.

  59. With S. Egner, H. Hollmann, and Q. Xiang, Proof of a conjecture of De Caen and Van Dam , Europ. J. Combin. 23 (2002), 201-206.

  60. With R.D. Baker, A. Bonisoli, and A. Cossidente, Cap partitions of the Segre variety S_<1,3> , Discrete Math. 255 (2002), 7-12.

  61. With A. Aguglia and A. Cossidente, Complete spans on Hermitian varieties , Designs, Codes and Cryptog. 29 (2003), 7-15.

  62. With R.D. Baker, C. Culbert and K.E. Mellinger, Odd order flag-transitive affine planes of dimension three over their kernel , Adv. Geom. 3 (2003), 215-223.

  63. Complete spans and ovoids on Hermitian varieties, Seminario Interdisciplinare di Matematica 2 (2003), 65-73.

  64. With A. Cossidente, Permutable polarities and a class of ovoids of the Hermitian surface , European J. Combin. 25 (2004), 1059- 1066.

  65. Quasimultiples of geometric designs, Discrete Math. 284 (2004), 123-129.

  66. With C. Ebert and M. Klin, From the principle of bijection to the isomorphism of structures: An analysis of some teaching paradigms in discrete mathematics , ZDM 36 (2004), 172-183.

  67. With R.D. Baker and T. Penttila, Hyperbolic fibrations and q-clans , Des. Codes Cryptogr. 34 (2005), 295-305.

  68. With C. Culbert, Circle geometry and three-dimensional subregular translation planes, Innovations in Incidence Geometry 1 (2005), 3-18.

  69. With A. Aguglia and A. Cossidente, On pairs of permutable Hermitian surfaces, Discrete Math. 301 (2005), 28-33.

  70. With A. Aguglia and D. Luyckx, On partial ovoids of Hermitian surfaces, Simon Stevin 12 (2006), 641-650.

  71. With A. Cossidente, G. Marino and A. Siciliano, Shult sets and translation ovoids of the Hermitian surface, Adv. Geom. 6 (2006), 523-542.

  72. With M.R. Brown and D. Luyckx, On the geometry of regular hyperbolic fibrations , European J. Combin. 28 (2007), 1626-1636.

  73. With A. Cossidente and G. Marino, Derivation techniques on the Hermitian surface , J. Combin. Designs 15 (2007), 478-486.

  74. With S. Ball and M. Lavrauw, A geometric construction of finite semifields , J. Algebra 311 (2007), 117-129.

  75. With K. Mellinger, Mixed partitions and related designs , Des. Codes Cryptogr. 44 (2007), 15-23.

  76. With A. Cossidente, C. Culbert and G. Marino, On m-ovoids of W(3,q), Finite Fields Appl. 14 (2008), 76-84.

  77. With A. Cossidente and G. Marino, A complete span of H(4,4) admitting PSL(2,11) and related structures , Contrib. Discrete Math. 3 (2008), 50-55.

  78. With N. Durante, On the intersection of Hermitian surfaces , Innovations in Incidence Geometry 6-7 (2007-2008), 153-167.

  79. With G. Marino, O. Polverino and R. Trombetti, On semifields of order $q^6$, Finite Fields Appl. 15 (2009), 160-173.

  80. With G. Marino, O. Polverino and R. Trombetti, Semifields in class F^{(a)}_4 , Elect. J. Combin. 16 (2009), #R53.

  81. With G. Marino, O. Polverino and R. Trombetti, Infinite families of new semifields , Combinatorica 29 (2009), 637-663.

  82. With R. Baker and K. Wantz, Enumeration of nonsingular Buekenhout unitals , Note di Matematica 29 (2009), 69-90.

  83. With R. Baker and K. Wantz, Enumeration of orthogonal Buekenhout unitals , Designs, Codes, Cryptogr. 55 (2010), 261-283.


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Last modified August 25, 2009 by Gary Ebert