EDUCATION

• Ph.D., Mathematics, University of Michigan, Ann Arbor, MI, 1977
• M.S., Mathematics, University of Michigan, Ann Arbor, MI, 1972
• B.Sc.(Hons), Mathematics, University of the Witwatersrand, Johannesburg, South Africa, 1971
• B.Sc., Mathematics, and Mathematical Statistics, (Double Major), University of the Witwatersrand, Johannesburg, South Africa, 1970
• Student of the Institute of Actuaries, London, England, 1966 - 1970

ACADEMIC EXPERIENCE

• Professor of Mathematics, Wright State University, 1995 - present
• Adjunct Professor, Miami University, Oxford, Ohio, 1998 - 1999
• Associate Professor of Mathematics, Wright State University, 1985 - 1995
• Visitor, The University of Western Australia, Perth, Australia, 1990 (February/March)
• Adjunct Associate Professor, Miami University, Oxford, Ohio, 1989 (Fall Semester)
• Assistant Professor of Mathematics, Wright State University, 1978 - 1985
• Postdoctoral Lecturer, Western Illinois University, 1977 - 1978
• Junior Lecturer, Department of Mathematics, University of the Witwatersrand, Johannesburg, South Africa, 1971 (January - July)

SCHOLARSHIP

Scholarly Publications

• Bounding the valency of polygonal graphs with odd girth, Can. J. Math. 31 (1979), 1307 - 1321.
• A characterization of J1 in terms of its geometry, Geom. Ded. 9 (1980), 291 - 298.
• A characterization of PSL(2, 31) and its geometry, Can. J. Math. 32 (1980), 155 - 164.
• The nilpotency class of extensions of certain p-groups, Comm. in Algebra, 8 (1980), 1053 - 1069, (with L. J. Morley).
• Polygonal graphs of valency four, Congressus Numerantium, 35 (1982), 387 - 400.
• Trivalent polygonal graphs, Congressus Numerantium, 45 (1984), 45 - 70.
• Rank 4 groups with a 3-transitive suborbit, J. Comb. Theory (A) 39, (1985), 226 - 240.
• Groups of type Fa,b,-c, Israel J. Math. 52 (1985), 167 - 176.
• Trivalent polygonal graphs of girth 6 and 7, Congressus Numerantium, 49 (1985), 129 - 138.
• Near polygonal graphs, Ars Combinatoria, 26A (1988), 149 - 170.
• Constructing polygonal graphs of large girth and degree, Congressus Numerantium, 70 (1990), 81 - 85 (with D. Archdeacon).
• The Steiner problem in the hypercube, Networks 22 (1992), 1 - 19, (with Z. Miller).
• Some new examples of polygonal and near-polygonal graphs with large girth, Bulletin of the I.C.A. 10 (1994), 23 - 25.
• A stability theorem for the automorphism groups of powers of the n-cube, Australasian J. of Comb 101 (1994), 17 - 28, (with Z. Miller).
• Representations of graphs modulo n, J. Graph Theory 18 (1994), 801 - 815, (with A. Evans, G. Fricke, C. Maneri, T. McKee).
• Group-graphs, Congressus Numerantium 104 (1994), 89 - 96.
• Packing an equilateral polygon in a thin strip, Geom. Ded. 54 (1995), 45 - 55, (with K. B. Chilakamarri and G. H. Fricke).
• On narrow 6-gonal graphs with a triply transitive suborbit, Research Report of the University of Western Australia, (1996), (with C. E. Praeger).
• Polygonal graphs:  new families and an approach to their analysis, Congressus Numerantium, 124 (1997), 161 - 173, (with C. E. Praeger)
• On narrow hexagonal graphs with a 3-homogeneous suborbit, submitted (with C. E. Praeger and R. Weiss).
• On mapping complete binary trees into grids and extended grids, in preparation,  (with Y-B Lin, Z. Miller, D. Pritikin and I. H. Sudborough).

Other

• How Not to Draw a Soccer Ball, article published in the Apple-Dayton Journal, April, 1987.
• J.D. Bullock, R.E. Warwar and M. Perkel, “Trivide” and Conquer:  Phacoemulsification without Nuclear Rotation - A Mathematical and Clinical Analysis,” submitted.

Abstract

• On mapping complete binary trees into grids and extended grids, presented to the International Symposium on Parallel Architectures and Networks, Fremantle, Australia, July, 1999, to appear in IEEE CS Press,  (with Y-B Lin, Z. Miller, D. Pritikin and I. H. Sudborough).

Poster Presentation

• J.D. Bullock, R.E. Warwar and M. Perkel, “Trivide” and Conquer:  Phacoemulsification without Nuclear Rotation - A Mathematical and Clinical Analysis,”  American Academy of Opthalmology Meeting, Las Vegas, Nevada, October 8-12, 1997.