Frank Quinn and William Browder
Quinn and his family
Yamasaki and Quinn (right)
Frank Quinn (left) and Andrew Ranicki
University of Virginia, Charlottesville, Virginia, United States
Frank Quinn received a bachelor’s degree and a master’s degree from the University of Virginia.
Princeton, NJ 08544, United States
Frank Quinn received a Ph.D. from Princeton University in 1970.
(One of the great achievements of contemporary mathematics...)
One of the great achievements of contemporary mathematics is the new understanding of four dimensions. Michael Freedman and Frank Quinn have been the principals in the geometric and topological development of this subject, proving the Poincar and Annulus conjectures respectively. In Topology of 4-Manifolds these authors have collaborated to give a complete and accessible account of the current state of knowledge in this field.
(This collection brings together influential papers by mat...)
This collection brings together influential papers by mathematicians exploring the research frontiers of topology, one of the most important developments of modern mathematics. The papers cover a wide range of topological specialties, including tools for the analysis of group actions on manifolds, calculations of algebraic K-theory, a result on analytic structures on Lie group actions, a presentation of the significance of Dirac operators in smoothing theory, a discussion of the stable topology of 4-manifolds, an answer to the famous question about symmetries of simply connected manifolds, and a fresh perspective on the topological classification of linear transformations.
Frank Quinn received a bachelor’s degree and a master’s degree from the University of Virginia, and Ph.D. from Princeton University in 1970.
Frank Quinn began his career in 1971 as an Assistant Professor at Princeton. Two years later he moved to Yale University, relocating in 1976 to Rutgers University.
In 1977 he was appointed a professor at the Virginia Polytechnic Institute, becoming Distinguished Professor of Mathematics there in 1985. In 2015 he was conferred the title of University Distinguished Professor Emeritus by the Virginia Tech Board of Visitors.
Quinn has worked in the field of surgery and the topology of four-dimensional manifolds. He also deals with algebraic topology and related algebra problems. Other interests include mathematics education and mathematics history.
In 1982 he proved the circular ring theorem for dimension 4. The theorem simply states that the space between two spheres (one of which is inside the other) is topologically ring-shaped (with additional assumptions to the topological good behavior of the spheres). The theorem was proved for two dimensions by Tibor Radó in 1924, for three dimensions by Edwin Moise (1952) and in five and more dimensions by Robion Kirby (1969). Quinn filled the last gap in the proof of the sentence.
His essay, Theoretical Mathematics (1993), with Arthur Jaffe in the Bulletin of the American Mathematical Society sparked a controversy about the role of mathematical rigor in mathematical physics, especially string theory. The essay also concerned the role of mathematical rigor in pure mathematics.
Frank Quinn was editor of the Bulletin of the American Mathematical Society and was a member on a national K-12 mathematics standards panel. Quinn also wrote educational software that was used by thousands of Virginia Tech students.
Throughout his career, Quinn engaged many of the best mathematicians of the late 20th century in a stimulating, high-profile dialogue on the direction of the profession.
Quinn organized several mathematics conferences and special sessions, served on five committees of the American Mathematical Society, and served on the Council of the American Mathematical Society. Quinn was elected a Fellow of the American Mathematical Society and was selected as a Fellow of the American Association for the Advancement of Science.
In 1986 he was an Invited Speaker at the International Congress of Mathematicians in Berkeley (Applications of topology with control).