Biographical Information
Education
- 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
Employment
- 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
Recent 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"
NormFest
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
Ph.D. Students
- Bryan Petrak (jointly advised with Felix Lazebnik, 2012)
- Craig Culbert (2009), Kutztown University, Kutztown, PA
- Marina Capursi (2006), University of Central Florida, Orlando, FL
- Keith Mellinger (2001), chair of Mathematics, University of Mary Washington, Fredericksburg, VA
- Jeremy Dover (1996), Dover Networks LLC, Edgewater, MD
- Kenny Wantz (1995), Regent University, Virginia Beach, VA
- Richard Weida (1987), chair of Mathematics, Lycoming College, Williamsport, PA
Grants
- National Security Agency, H98230-09-1-0074, 2008-2010
"Semifield Spreads, Nearfield Spreads, and Related Combinatorial Objects"
- National Security Agency, H98230-06-1-0071, 2005-2007
"Ovoids and Spreads in Polar and Projective Spaces"
- National Security Agency, MDA904-03-1-0099, 2002-2004
"Problems in Fnite Geometry"
- National Security Agency, MDA904-00-1-0029, 1999-2001
"Partitioning Problems in Finite Geometry and their Applications"
- North Atlantic Treaty Organization, SA.5-2-05(CRG.970185), 1997-1999
"Geometrical Configurations and their Symmetries"
joint with G. Korchmaros (Potenza, Italy) and J.W.P. Hirschfeld (Brighton, England)
- National Security Agency, MDA904-94-H-2033, 1993-1995
"Conics and Unitals in Finite Desarguesian Planes"
- National Science Foundation, DMS-8804569, 1988-1989
"Mathematical Sciences: Research Equipment"
joint with R.D. Baker, R.P. Gilbert, J. Hemmeter, and P.B. Monk
- Alfred P. Sloan Foundation, 1983
"Delaware Revision in Undergraduate Mathematics"
joint with R.D. Baker and I. Stakgold
- University of Delaware Research Foundation, 1978-1979
"Blocking Sets and Partial Spreads in Projective Spaces"
Books
- Unitals in Projective Planes , S. Barwick and G. Ebert
Springer Monographs in Mathematics, Springer, New York.
- Discrete Mathematics , R.D. Baker and G.L. Ebert
Kendall/Hunt Publishing Company, Dubuque, IA
Memberships
- American Mathematical Society
- Mathematical Association of American
- Phi Beta Kappa
Editorships
- Managing Editor, Innovations in Incidence Geometry
Publications
Research in Progress
- Characterizations of flag-transtive planes,
ongoing research
- Geometric characterizations of Buekenhout-Metz unitals,
ongoing research
- Contruction of finite semifields,
ongoing research
Back to Gary Ebert's home page
Last modified June 14, 2012 by
Gary Ebert