O. Timothy O'Meara

O. Timothy O'Meara
Born (1928-01-29)January 29, 1928
Cape Town, South Africa
Died June 17, 2018(2018-06-17) (aged 90)
Nationality American
Alma mater Princeton University
Scientific career
Fields Mathematics
Institutions University of Notre Dame
Doctoral advisor Emil Artin
Doctoral students Everett C. Dade
Alexander J. Hahn

Onorato Timothy O'Meara (January 29, 1928 – June 17, 2018) was an American mathematician known for his work in number theory, linear groups and quadratic forms. He was provost emeritus and professor emeritus of mathematics at the University of Notre Dame.

O’Meara was the author of Symplectic Groups, Introduction to Quadratic Forms, and The Classical Groups and K-Theory (co-author, Alexander J. Hahn).

In 2008, the University of Notre Dame Mathematics Library was rededicated and named in O'Meara's honor.

O'Meara died on June 17, 2018, aged 90.[1]

Works

Selected articles

  • "Witt's theorem and the isometry of lattices". Proc. Amer. Math. Soc. 7: 9–22. 1956. doi:10.2307/2033236.
  • "Basis structure of modules". Amer. Math. Soc. 7: 965–974. 1956. doi:10.2307/2033023.
  • "Integral equivalence of quadratic forms in ramified local fields". American Journal of Mathematics. 79 (1): 157–186. 1957. doi:10.2307/2372391.
  • "Infinite dimensional quadratic forms over algebraic number fields". Proc. Amer. Math. Soc.: 55–58. 1959. doi:10.2307/2032887.
  • "On the finite generation of linear groups over Hasse domains". J. reine angew. Math. 217 (79): 79–108. 1965. doi:10.1515/crll.1965.217.79.
  • with Barth Pollak: "Generation of local integral orthogonal groups". Mathematische Zeitschrift. 87 (3): 385–400. 1965. doi:10.1007/BF01111720.
  • "The automorphisms of the orthogonal groups Ωn(V) over fields". American Journal of Mathematics. 90 (4): 1260–1306. 1968. doi:10.2307/2373300.
  • "Group-theoretic characterization of transvections using CDC". Mathematische Zeitschrift. 110 (5): 385–394. 1969. doi:10.1007/BF01110686.
  • "The automorphisms of the orthogonal groups and their congruence subgroups over arithmetic domains". J. reine angew. Math. 238: 169–206. 1969. doi:10.1515/crll.1969.238.169.
  • "The construction of indecomposable positive definite quadratic forms". J. reine angew. Math. 276 (99): 99–123. 1975. doi:10.1515/crll.1975.276.99.
  • "A general isomorphism for linear groups". Journal of Algebra. 44 (1): 93–142. January 1977. doi:10.1016/0021-8693(77)90167-3.
  • "The Idea of a Catholic University: A Personal Perspective". Marquette Law Review. Winter 1995: Symposium on Religiously Affiliated Law Schools. 78 (2): 389–396.

Books

  • Introduction to Quadratic Forms, Classics in Mathematics (1963,[2] 2000), Springer, ISBN 3540665641
  • Lectures on linear groups, (1974), American Mathematical Society, ISBN 0-8218-1672-1
  • Symplectic Groups (1978),[3] American Mathematical Society, ISBN 0821815164
  • The Classical Groups and K-Theory (1989),[4] co-author, Alex Hahn, Springer, ISBN 3642057373

See also

References

  1. ↑ In memoriam: Timothy O’Meara, provost emeritus
  2. ↑ Jacobowitz, Ronald (1965). "Review: Introduction to quadratic forms by O. T. O'Meara". Bull. Amer. Math. Soc. 71 (2): 327–331. doi:10.1090/s0002-9904-1965-11285-x.
  3. ↑ James, D. G. (1979). "Review: Symplectic groups by O. T. O'Meara". Bull. Amer. Math. Soc. (N.S.). 1 (5): 782–784. doi:10.1090/s0273-0979-1979-14666-4.
  4. ↑ Steinberg, Robert (1990). "Review: The Classical Groups and K-Theory by A. J. Hahn and O. T. O'Meara" (PDF). Bull. Amer. Math. Soc. (N.S.). 23 (2): 594–598. doi:10.1090/s0273-0979-1990-15995-6.
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