Lawrence Ray Williams Born: April 6, 1947 in Point Blank, Texas raised in Livingston
B.S. Mathematics (1969) University of Houston; M.S. Mathematics (1971) University of Michigan Ph.D. University of Michigan 1976 thesis: On Quasisimilarity of Operators on Hilbert Space; Advisor: Carl Pearcy
Professor of Mathematics, University of Texas at San Antonia URL: http://www.math.utsa.edu/~williams/ email: williams@sphere.math.utsa.edu; williams@math.utsa.edu

Lawrence R. Williams graduated from Paul Laurence Dunbar High School, Livingston, Texas, in 1965, and obtained a B.S. degree in mathematics with a minor in physics from Texas Southern University in Houston, Texas in 1969. Where he was influenced by Llayron Clarkson. After serving two years in the United States Army (he was drafted), Lawrence began graduate study in mathematics at the University of Michigan in 1971. He received a master's degree in mathematics in 1972 and a Ph.D. in mathematics in 1976, both from the University of Michigan. At Michigan, Lawrence worked in the area of operator theory under the supervision of Dr. Carl M. Pearcy.

Dr. Williams began his post-Ph.D. mathematics career as an assistant professor of mathematics at The University of Texas at Austin. He is presently a professor of mathematics at The University of Texas at San Antonio. Williams is also the Interim Director (1996-1998) of the Division of Mathematics and Statistics and the Associate Dean for Academic Affairs (1987-1998) of the College of Sciences and Engineering at The University of Texas at San Antonio.

RESEARCH

Lawrence's area of research is functional analysis, especially operator theory. He has 11 publications in operator theory. He has presented his work at several seminars and conferences including the AMS winter meetings, the annual Great Plains Operator Theory Seminar (GPOTS), and the International Workshop on Operator Theory and Applications.

Selected Publications

1. Subdecomposable Operators and Rationally Invariant Subspaces , Proceedings of the 10th International Workshop in Operator Theory and Applications, Integral Equations and Operator Theory.
2. The Local Spectra of Pure Quasinormal Operators , Journal of Mathematical Analysis and Applications, 187(1994), 842-850.
3. Bounded Point Evaluations and the Local Spectra of Cyclic Hyponormal Operators , Dynamic Systems and Appl., 3(1994), 103-112.
4. Restrictions of Essentially Normal Operators , Rocky Mountain J. of Math., 20(1990), 613-618.
5. Subnormal Elements of C*-Algebras , Proc. Amer. Math. Soc., 103(1988), 897-901.
6. The Approximate Point Spectrum of a Pure Quasinormal Operator , Acta Sci. Math., 49(1985), 309-320.
7. Quasisimilarity and Hyponormal Operators , J. Operator Theory, 5(1981), 127-139.
8. Equality of Essential Spectra of Quasisimilar Quasinorma Operators , J. Operator Theory, 3(1980), 57-69.
9. Equality of Essential Spectra of Certain Quasisimilar Seminormal Operators , Proc. Amer. Math. Soc., 78(1980), 203-209.
10. A Quasisimilarity Model for Algebraic Operators , Acta Sci. Math., 40(1978), 185-188.
11. Similarity Invariants for a Class of Nilpotent Operators , Acta Sci. Math., 38(1976), 423-428.

References: [Communications with Dr. Williams]

SUMMA web page for Lawrence Williams http://www.maa.org/summa/archive/willm_lw.htm

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