O. Timothy O'Meara explained

Birth Name:	Onorato Timothy O'Meara
Birth Date:	January 29, 1928
Birth Place:	Cape Town, South Africa
Nationality:	American
Fields:	Mathematics
Workplaces:	University of Notre Dame
Alma Mater:	University of Cape Town Princeton University
Doctoral Students:	Everett C. Dade

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.

Life

O'Meara was born in South Africa and graduated from University of Cape Town in 1947. He continued there for a master's degree, then transferring to Princeton University where he obtained the Ph.D. in mathematics in 1953. He then taught at University of Otago in New Zealand for three years. Subsequently he returned to New Jersey and was in the Institute for Advanced Study. He joined University of Notre Dame in 1962 and became Provost. He is known for his books Symplectic Groups, Introduction to Quadratic Forms, and The Classical Groups and K-Theory (co-author,).

In 2008, the University of Notre Dame Mathematics Library was rededicated and named in O'Meara's honor.^[1]

O'Meara died on June 17, 2018, aged 90.^[2]

Works

Selected articles

• Witt's theorem and the isometry of lattices. Proc. Amer. Math. Soc.. 7. 1956. 9–22. 10.2307/2033236. 2033236. O'Meara. O. T.. 1.
• Basis structure of modules. Proc. Amer. Math. Soc.. 7. 1956. 965–974. 10.2307/2033023. 2033023. O'Meara. O. T.. 6.
• Integral equivalence of quadratic forms in ramified local fields. American Journal of Mathematics. 79. 1. 1957. 157–186. 10.2307/2372391. 2372391. O'Meara. O. T..
• Infinite dimensional quadratic forms over algebraic number fields. Proc. Amer. Math. Soc.. 1959. 55–58. 10.2307/2032887. 2032887. O'Meara. O. T.. 10. 1.
• On the finite generation of linear groups over Hasse domains. J. Reine Angew. Math.. 217. 79. 1965. 79–108. 10.1515/crll.1965.217.79.
• with Barth Pollak: Generation of local integral orthogonal groups. Mathematische Zeitschrift. 87. 3. 1965. 385–400. 10.1007/BF01111720. O'Meara. O. T.. Pollak. Barth.
• The automorphisms of the orthogonal groups Ω_n(V) over fields. 1968. American Journal of Mathematics. 90. 4. 1260–1306. 10.2307/2373300. 2373300. O'Meara. O. T..
• Group-theoretic characterization of transvections using CDC. Mathematische Zeitschrift. 110. 5. 1969. 385–394. 10.1007/BF01110686. O'Meara. O. T..
• The automorphisms of the orthogonal groups and their congruence subgroups over arithmetic domains. J. Reine Angew. Math.. 1969. 1969. 238. 169–206. 10.1515/crll.1969.238.169.
• 1975. The construction of indecomposable positive definite quadratic forms. J. Reine Angew. Math.. 276. 99. 99–123. 10.1515/crll.1975.276.99.
• A general isomorphism for linear groups. 10.1016/0021-8693(77)90167-3. Journal of Algebra. 44. 1. January 1977. 93–142. free.
• 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

• 1963, 2000: Introduction to Quadratic Forms, Classics in Mathematics^[3] Springer,
• 1974: Lectures on Linear Groups, American Mathematical Society,
• 1978: Symplectic Groups^[4] American Mathematical Society,
• 1989: (with Alexander Hahn) The Classical Groups and K-Theory^[5] Springer,

See also

• Symplectic group
• Classical groups
• K-theory

References

• "Realizing Fr. Ted's Vision" by Alexander J. Hahn

Notes and References

1. https://curate.nd.edu/show/02870v8647b History of the O'Meara Mathematics Library
2. https://news.nd.edu/news/in-memoriam-timothy-omeara-provost-emeritus/ In memoriam: Timothy O’Meara, provost emeritus
3. Jacobowitz, Ronald. Review: Introduction to quadratic forms by O. T. O'Meara. Bull. Amer. Math. Soc.. 71. 1965. 2. 327–331. 10.1090/s0002-9904-1965-11285-x. free.
4. James, D. G.. Review: Symplectic groups by O. T. O'Meara. Bull. Amer. Math. Soc. (N.S.). 1. 1979. 5. 782–784. 10.1090/s0273-0979-1979-14666-4. free.
5. Steinberg, Robert. Robert Steinberg. Review: The Classical Groups and K-Theory by A. J. Hahn and O. T. O'Meara. Bull. Amer. Math. Soc. (N.S.). 1990. 23. 2. 594–598. 10.1090/s0273-0979-1990-15995-6. free.