Leonard Gillman

Leonard "Len" Gillman (born January 8 1917) is an American mathematician, emeritus professor at the University of Texas at Austin. He is also an accomplished classical pianist.

Biography

Gillman was born in Cleveland, Ohio in 1917. His family moved to Pittsburgh, Pennsylvania in 1922. It was there that he started taking piano lessons at age six. They moved to New York City in 1926, and he began intensive training as a pianist. Upon graduation from high school in 1933, Gillman won a fellowship to the Juilliard Graduate School of Music.

After one semester at Juilliard, he enrolled in evening classes in French and mathematics at Columbia University. He received a diploma in piano from Juilliard in 1938, then continued his studies at Columbia, graduating with a B.S. in mathematics in 1941–2. He stayed on as a graduate student, and completed the coursework for a mathematics Ph.D. by 1943.

In 1943 Gillman accepted a position at Tufts College, working on a special project for the Navy Department. While there he wrote a thesis based on their work on pursuit curves, and he received his master's degree from Columbia in 1945. He moved to Washington, D.C. where he continued doing Navy work for the Operations Evaluation Group, affiliated with the Massachusetts Institute of Technology. After five years he took a one-year sabbatical at MIT to write a doctoral thesis in set theory. In 1952 Gillman accepted an instructorship at Purdue University, and in 1953 he finally received his Ph.D. in mathematics from Columbia. [MathGenealogy|id=24545]

At Purdue he began to do research in topology, in collaboration with Melvin Henriksen, Meyer Jerison, and others. This work concentrated on the ring of all real-valued continuous functions whose domain is a given topological space. Gillman & Henriksen defined and characterized the classes of P-spaces and F-spaces, and Gillman & Jerison published an entire textbook on the subject: "Rings of Continuous Functions", ISBN 0387901981.

In 1958 Gillman was awarded a Guggenheim Fellowship, [cite web | title = 1958 Fellows Page | publisher = John Simon Guggenheim Memorial Foundation | url = http://www.gf.org/58fellow.html ] and he spent the next two years as a visiting member at the Institute for Advanced Study. He and Nathan Fine defined remote points and showed that if the continuum hypothesis holds, then the real line has remote points.

In 1960 he became chairman of the department of mathematics at the University of Rochester. He was active in recruiting top mathematicians to the department, including Arthur Harold Stone and his wife Dorothy Maharam. At Rochester Gillman also became involved in activities of the Mathematical Association of America (MAA). In 1969 he was appointed a regional Associate Secretary of the American Mathematical Society, but he had to give it up after moving to the University of Texas that same year. He chaired the UT mathematics department until 1973, when he was elected Treasurer of the MAA. He held this office for 13 years. Gillman retired from UT in 1987 and served as President of the MAA for the term 1987–1988. [cite web | title = MAA Presidents | work = MAA Online | publisher = Mathematical Association of America | url = http://www.maa.org/aboutmaa/maaapresidents.html ]

Dr. Gillman has been involved in local classical music everywhere he has worked, and has performed four times at the Joint Mathematics Meeting.

elected publications

* cite journal
last = Erdős
first = P.
authorlink = Paul Erdős
coauthors = Gillman, L.; Henriksen, M.
year = 1955
month = May
title = An Isomorphism Theorem for Real-Closed Fields
journal = Annals of Mathematics, 2nd Ser.
volume = 61
issue = 3
pages = pp.542–554
* cite journal
last = Gillman
first = Leonard
coauthors = Henriksen, Melvin
year = 1956
month = July
title = Rings of continuous functions in which every finitely generated ideal is principal
journal = Transactions of the American Mathematical Society
volume = 82
issue = 2
pages = pp.366–391
doi = 10.2307/1993054
* cite journal
last = Fine
first = N.J.
coauthors = Gillman, L.
year = 1962
month = February
title = Remote points in βR
journal = Proceedings of the American Mathematical Society
volume = 13
issue = 1
pages = pp.29–36
doi = 10.2307/2033766

References

* cite journal
last = Henriksen
first = Melvin
year = 1997
month = October
title = Leonard Gillman; an Interview, part 1
journal = Topological Commentary
volume = 2
issue = 4
pages =
issn = 1499-9226
url = http://at.yorku.ca/t/o/p/c/37.htm
accessdate = 2007-01-08
* cite journal
last = Henriksen
first = Melvin
year = 1998
month = March
title = Leonard Gillman; an Interview, part 2
journal = Topological Commentary
volume = 3
issue = 1
pages =
issn = 1499-9226
url = http://at.yorku.ca/t/o/p/c/49.htm
accessdate = 2007-01-08

External links

* [http://www.ma.utexas.edu/users/len/ Gillman's home page at UT Austin]

Persondata
NAME = Gillman, Leonard
ALTERNATIVE NAMES =
SHORT DESCRIPTION = Mathematician and classical pianist
DATE OF BIRTH = January 8 1917
PLACE OF BIRTH = Cleveland, Ohio
DATE OF DEATH =
PLACE OF DEATH =