Thomas B. Gregory

Thomas Gregory Photo

Associate Professor of Mathematics
The Ohio State University at Mansfield, O-15
1680 University Drive
Mansfield, OH 44906

Phone: (419)755-4247 / 4236 / 4011
Fax: (419) 755-4367 / 4241 / 4327
E-mail: tgregory@math.ohio-state.edu / 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, Vol. 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 of Prime Characteristic, Memoirs of the Amer. Math. Soc., to appear.

 

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