Thomas B. Gregory

http://www.math.ohio-state.edu/~tgregory/tom-new.GIF

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


Research interest

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

Publications

  1. Simple Lie algebras with classical reductive null component. Journal of Algebra 63(1980), 484-493.
  2. A characterization of the contact Lie algebras. Proceedings of the Amer. Math. Soc. 82(1981), 505-511.
  3. On simple reducible Lie algebras of depth two. Proceedings of the Amer. Math. Soc. 83(1981), 31-35.
  4. On simple reducible depth-two Lie algebras with classical reductive null component. Proceedings of the Amer. Math. Soc. 85(1982), 318-322.
  5. (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.
  6. (with G.M. Benkart) Graded Lie algebras with classical reductive null component. Mathematische Annalen 285(1989), 85-98.
  7. 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.
  8. (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.
  9. (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.
  10. (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).
  11. (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).
  12. (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.
  13. 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.
  14. Winter Map Inverses. Advances in Pure Mathematics 4(2014), 303-308.
  15. On the Initial Subalgebra of a Graded Lie Algebra. Advances in Pure Mathematics 4(2014), 513-517.

Education

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)

Military Service

Affiliations