Emeritus Professor of Mathematics

The Ohio State University at Mansfield,
O-15

1760 University Drive

Mansfield, OH 44906-1547

Phone: (419)755-4247 / 4236 / 4011

Fax: (419) 755-4367 / 4241 / 4327

E-mail: gregory.6@osu.edu

Classification of irreducible, transitive, prime-characteristic finite-dimensional graded Lie algebras

*Simple Lie algebras with classical reductive null component.***Journal of Algebra**63(1980), 484-493.*A characterization of the contact Lie algebras.***Proceedings of the Amer. Math. Soc.**82(1981), 505-511.*On simple reducible Lie algebras of depth two.***Proceedings of the Amer. Math. Soc.**83(1981), 31-35.*On simple reducible depth-two Lie algebras with classical reductive null component.***Proceedings of the Amer. Math. Soc.**85(1982), 318-322.- (with G.M. Bendart, J.M. Osborn, H. Strade,
and R.L. Wilson)
*Isomorphism classes of Hamiltonian Lie algebras.*Lie algebras, Madison (1987),**Springer Lecture Notes in Mathematics**1373(1989), 42-57. - (with G.M. Benkart)
*Graded Lie algebras with classical reductive null component.***Mathematische****Annalen**285(1989), 85-98. *A characterization of the general Lie algebras of Cartan type W(n:m).*Lie Algebras and Related Topics, Madison (1988),**Contemporary Mathematics**, Volume. 110 (1990), 75-78.- (with G.M. Benkart and M.I. Kuznetsov)
*On graded Lie algebras of characteristic three with classical reductive null component.*The Monster and Lie Algebras,**OSU Mathematical Research Institute Publications**, Volume 7 (1998), 149-164. - (with M.I. Kuznetsov)
*On depth-three graded Lie algebras of characteristic three with classical reductive null component.***Communications in Algebra**, Volume 32 (2004), 3339-3371. - (with G.M. Benkart and A. Premet)
*The Recognition Theorem for Graded Lie Algebras in Prime Characteristic*.**Memoirs of the American Mathematical Society**, Volume. 197, Number 920 (second of 5 numbers) (2009). - (with M.I. Kuznetsov)
*Non-degenerate graded Lie algebras with a degenerate transitive subalgebra*,**Journal of Mathematical Sciences**, Volume 161, Number 1 (2009), 57-69 (English),**Sovryemyennaya****Matematika i yeyo prilozhenia**, Volume 60 (2008), 57-69 (Russian). - (with D.M. Shaffer)
*How Football Players Determine where to Run to Tackle other Players: A Mathematical and Psychological Description and Analysis*,**The Open Sports Sciences Journal**, Volume 2 (2009), 29-36. *A Note on the Height of Transitive Depth-One Graded Lie Algebras Generated by Their Local Parts.***Advances in Pure Mathematics**4(2014), 242-243.*Winter Map Inverses.***Advances in Pure Mathematics**4(2014), 303-308.*On the Initial Subalgebra of a Graded Lie Algebra.***Advances in Pure Mathematics**4(2014), 513-517.

Ph.D. (1977), M. Phil. (1975), M.A. (1969), Yale University

A.B. summa cum laude with High Honors in Mathematics (1967), Oberlin College

Phi Beta Kappa (Oberlin, 1966)

Sigma Xi (Associate Member, Oberlin, 1967;
Member, The Ohio State University, 1992)

- Engineering Duty Officer, United States Naval Reserve
- 05/Commander