• Ph.D. Mathematics, University of Wisconsin – Madison, 1975
    Thesis: “Disjoint Circles: The Classification of Translation Planes in Terms of Sets of Disjoint Circles in Finite Miquelian Inversive Planes”
    Advisor: R. H. Bruck
  • M.A. Mathematics, University of Wisconsin – Madison, 1971
  • B.S. Mathematics, University of Wisconsin – Madison, 1969


  • Emeritus Professor, Mathematical Sciences Department, University of Delaware, 2011-present
  • Professor, Mathematical Sciences Department, University of Delaware, 1987-2011
  • Visiting Professor, Adelaide University, Spring 2005
  • Visiting Professor, Auburn University, 1990-1991
  • Associate Professor, University of Delaware, 1981-1987
  • Visiting Professor, University of Western Ontario (Canada), 1983-1984
  • Assistant Professor, University of Delaware, 1977-1981
  • Visiting Lecturer, Texas Tech University, 1975-1977
  • Teaching Assistant, University of Wisconsin – Madison, 1970-1975
  • Mathematical Programmer, Chevrolet Engineering Center, Warren, MI, 1969-1970

Research Interests


  • Unitals in Projective PlanesĀ , S. Barwick and G. Ebert
    Springer Monographs in Mathematics, Springer, New York.
  • Discrete MathematicsĀ , R.D. Baker and G.L. Ebert
    Kendall/Hunt Publishing Company, Dubuque, IA


Some Invited Addresses

  • “A Survey on Unitals”
    Discrete Math Days
    Fort Collins, Colorado, May, 2012
  • “Subplane Structure of Finite Projective Planes”
    Incidence Geometry and Buildings
    Ghent, Belgium, February, 2012
  • “Enumeration of Buekenhout Unitals”
    San Antonio, Texas, March, 2009
  • “Andre Mixed Partitions”
    Regional Meeting – Italian Finite Geometry Research Group
    Caserta, Italy, February 2007
  • “Hyperbolic Fibrations”
    Combinatorics 2006
    Ischia, Italy, June 2006
  • “Quasimultiples of Geometric Designs”
    Colloquiums at Beijing Jiaotong University and Shanghai Jaio Tong University
    China, June 2005
  • “Translation Ovoids of the Hermitain Surface and Related Objects”
    Adelaide Workshop on Incidence Geometry
    Adelaide University, Adelaide, Australia, February 2005
    University of Western Australia Colloquium
    Perth, Australia, April 2005
  • “Shult Sets and Translation Ovoids of the Hermitian Surface”
    Colloquiums at University of Rome, University of Naples, and University of Modena
    Italy, Fall 2004
  • “Higher Dimensional Circle Geometries and Subregular Translation Planes”
    International Conference on Incidence Geometry
    La Roche – en – Ardennes, May 2004
  • “Partial Ovoids of the Hermitian Surface”
    Adelaide Workshop on Incidence Geometry
    Adelaide University, Adelaide, Australia, December 2003
  • “Partial Ovoids and Spans of the Hermitian Surface”
    University of Iowa Colloquium
    Iowa City, Iowa, November 2003
  • “Odd Order Flag-Transitive Affine Planes”
    First Irsee Conference on Finite Geometries
    Irsee, Germany, February 2003
  • “A Gentle Introduction to Hermitian Curves and Surfaces”
    Michigan Tech University Colloquium
    Houghton, Michigan, January 2003
  • “Flocks of a Quadratic Cone and Hyperbolic Fibrations”
    Geometric and Algebraic Combinatorics II
    Oisterwijk, The Netherlands, August 2002
  • “Binary Codes of Buekenhout-Metz Unitals of Odd Order”
    Oberwolfach Meeting on Finite Geometries
    Oberwolfach, Germany, December 2001
  • “Hyperbolic Fibrations and q-Clans”
    Joint UC-Denver/Wyoming/Colorado State Seminar
    Fort Collins, CO, October 2000
  • “Baer Subgeometry Partitions”
    Second Pythagorean Conference
    Samos, Greece, June 1999
  • “Partitioning Problems and Flag-Transitive Planes”
    Combinatorics ’98
    Palermo, Italy, June 1998
  • “Caps, Codes, and Partitions”
    Eighth Auburn Combinatorial Conference
    Auburn University, Auburn, AL, March 1997
  • “Buekenhout Unitals”
    Combinatorics ’96 – in honour of Guisseppe Tallini
    Assisi, Italy, September 1996
  • “A Survey of Buekenhout-Metz Unitals”
    Eighth SIAM Conference on Discrete Mathematics
    Johns Hopkins University, Baltimore, MD, June 1996
  • “Replaceable Nests”
    TEDFEST ’96 – a celebration of T. G. Ostrom’s eightieth birthday
    University of Iowa, Iowa City, IA, March 1996
  • “Buekenhout-Metz Unitals”
    series of 8 lectures at the Summer School on Finite Geometries
    Universita degli Studi della Basilicata, Potenza, Italy, June 1996


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