Deane Montgomery
Encyclopedia
Deane Montgomery was a mathematician specializing in topology
who was one of the contributors to the final resolution of Hilbert's fifth problem
in the 1950s. He served as President of the American Mathematical Society
from 1961 to 1962.
He received his B.S. from Hamline University
in St. Paul, MN and his Masters and Ph.D.
from the University of Iowa
in 1933; his dissertation advisor was Edward Chittenden.
In 1941 Montgomery was awarded a Guggenheim Fellowship
. In 1988, he was awarded the American Mathematical Society
Leroy P. Steele Prize for Lifetime Achievement.
He was a member of the United States National Academy of Sciences
and of the American Academy of Arts and Sciences
.
Topology
Topology is a major area of mathematics concerned with properties that are preserved under continuous deformations of objects, such as deformations that involve stretching, but no tearing or gluing...
who was one of the contributors to the final resolution of Hilbert's fifth problem
Hilbert's fifth problem
Hilbert's fifth problem, is the fifth mathematical problem from the problem-list publicized in 1900 by mathematician David Hilbert, and concerns the characterization of Lie groups. The theory of Lie groups describes continuous symmetry in mathematics; its importance there and in theoretical physics...
in the 1950s. He served as President of the American Mathematical Society
American Mathematical Society
The American Mathematical Society is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, which it does with various publications and conferences as well as annual monetary awards and prizes to mathematicians.The society is one of the...
from 1961 to 1962.
He received his B.S. from Hamline University
Hamline University
-Red Wing location :Hamline was named in honor of Leonidas Lent Hamline, a bishop of the Methodist Church whose interest in the frontier led him to donate $25,000 toward the building of an institution of higher learning in what was then the territory of Minnesota. Today, a statue of Bishop Hamline...
in St. Paul, MN and his Masters and Ph.D.
Ph.D.
A Ph.D. is a Doctor of Philosophy, an academic degree.Ph.D. may also refer to:* Ph.D. , a 1980s British group*Piled Higher and Deeper, a web comic strip*PhD: Phantasy Degree, a Korean comic series* PhD Docbook renderer, an XML renderer...
from the University of Iowa
University of Iowa
The University of Iowa is a public state-supported research university located in Iowa City, Iowa, United States. It is the oldest public university in the state. The university is organized into eleven colleges granting undergraduate, graduate, and professional degrees...
in 1933; his dissertation advisor was Edward Chittenden.
In 1941 Montgomery was awarded a Guggenheim Fellowship
Guggenheim Fellowship
Guggenheim Fellowships are American grants that have been awarded annually since 1925 by the John Simon Guggenheim Memorial Foundation to those "who have demonstrated exceptional capacity for productive scholarship or exceptional creative ability in the arts." Each year, the foundation makes...
. In 1988, he was awarded the American Mathematical Society
American Mathematical Society
The American Mathematical Society is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, which it does with various publications and conferences as well as annual monetary awards and prizes to mathematicians.The society is one of the...
Leroy P. Steele Prize for Lifetime Achievement.
He was a member of the United States National Academy of Sciences
United States National Academy of Sciences
The National Academy of Sciences is a corporation in the United States whose members serve pro bono as "advisers to the nation on science, engineering, and medicine." As a national academy, new members of the organization are elected annually by current members, based on their distinguished and...
and of the American Academy of Arts and Sciences
American Academy of Arts and Sciences
The American Academy of Arts and Sciences is an independent policy research center that conducts multidisciplinary studies of complex and emerging problems. The Academy’s elected members are leaders in the academic disciplines, the arts, business, and public affairs.James Bowdoin, John Adams, and...
.
Publications
- Deane Montgomery and Leo ZippinLeo ZippinLeo Zippin was an American mathematician. His parents were Bella Salwen and Max Zippin who immigrated to New York City from the Ukraine in 1903.-Education:...
, Topological Transformation Groups, Interscience Publishers, 1955.