Gilbert Baumslag
Encyclopedia
Gilbert Baumslag is a Distinguished Professor at the City College of New York
, with joint appointments in mathematics
, computer science
, and electrical engineering
. He is director of the Center for Algorithms and Interactive Scientific Software, which grew out of the MAGNUS computational group theory
project he also headed. Dr. Baumslag is also the organizer of the New York Group Theory Seminar, perhaps the foremost research seminar in group theory in the world.
Baumslag graduated from the University of the Witwatersrand
in South Africa with a B.Sc. Honours (Masters) and D.Sc. He earned his Ph.D.
from the University of Manchester
in 1958; his thesis, written under the direction of Bernhard Neumann
, was titled Some aspects of groups with unique roots. His contributions include the Baumslag-Solitar groups and parafree group
s.
City College of New York
The City College of the City University of New York is a senior college of the City University of New York , in New York City. It is also the oldest of the City University's twenty-three institutions of higher learning...
, with joint appointments in mathematics
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
, computer science
Computer science
Computer science or computing science is the study of the theoretical foundations of information and computation and of practical techniques for their implementation and application in computer systems...
, and electrical engineering
Electrical engineering
Electrical engineering is a field of engineering that generally deals with the study and application of electricity, electronics and electromagnetism. The field first became an identifiable occupation in the late nineteenth century after commercialization of the electric telegraph and electrical...
. He is director of the Center for Algorithms and Interactive Scientific Software, which grew out of the MAGNUS computational group theory
Computational group theory
In mathematics, computational group theory is the study ofgroups by means of computers. It is concernedwith designing and analysing algorithms anddata structures to compute information about groups...
project he also headed. Dr. Baumslag is also the organizer of the New York Group Theory Seminar, perhaps the foremost research seminar in group theory in the world.
Baumslag graduated from the University of the Witwatersrand
University of the Witwatersrand
The University of the Witwatersrand, Johannesburg is a South African university situated in the northern areas of central Johannesburg. It is more commonly known as Wits University...
in South Africa with a B.Sc. Honours (Masters) and D.Sc. He earned his 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 Manchester
University of Manchester
The University of Manchester is a public research university located in Manchester, United Kingdom. It is a "red brick" university and a member of the Russell Group of research-intensive British universities and the N8 Group...
in 1958; his thesis, written under the direction of Bernhard Neumann
Bernhard Neumann
Bernhard Hermann Neumann AC FRS was a German-born British mathematician who was one of the leading figures in group theory, greatly influencing the direction of the subject....
, was titled Some aspects of groups with unique roots. His contributions include the Baumslag-Solitar groups and parafree group
Parafree group
In mathematics, in the realm of group theory, a group is said to be parafree if its quotients by the terms of its lower central series are the same as those of a free group and if it is residually nilpotent .Parafree groups share many properties with free groups, making it difficult to distinguish...
s.
Works
- Gilbert Baumslag, Groups with the same lower central sequence as a relatively free group. I. The groups, Transactions of the American Mathematical SocietyTransactions of the American Mathematical SocietyTransactions of the American Mathematical Society is a monthly mathematics journal published by the American Mathematical Society. It started in 1900...
129 (1967), 308–321. - Gilbert Baumslag, Groups with the same lower central sequence as a relatively free group. II. Properties, Transactions of the American Mathematical Society 142 (1969), 507–538.
- Gilbert Baumslag and Donald Solitar, Some two-generator one-relator non-Hopfian groups, Bulletin of the American Mathematical SocietyBulletin of the American Mathematical SocietyThe Bulletin of the American Mathematical Society is a quarterly mathematical journal published by the American Mathematical Society...
68 (1962), 199–201.
External links
- Gilbert Baumslag, at CCNY
- Center for Algorithms and Interactive Scientific Software, at CCNY
- New York Group Theory Seminar, at The CUNY Graduate Center