Grants and Contributions:
Title:
Manifolds and Groups
Agreement Number:
RGPIN
Agreement Value:
$70,000.00
Agreement Date:
May 10, 2017 -
Organization:
Natural Sciences and Engineering Research Council of Canada
Location:
British Columbia, CA
Reference Number:
GC-2017-Q1-01468
Agreement Type:
Grant
Report Type:
Grants and Contributions
Additional Information:
Grant or Award spanning more than one fiscal year. (2017-2018 to 2022-2023)
Recipient's Legal Name:
Rolfsen, Dale (The University of British Columbia)
Program:
Discovery Grants Program - Individual
Program Purpose:
Three-dimensional manifolds model the universe we inhabit. They also arise in the study of dynamical systems, solutions of several-variable equations and other applications in mathematics, physics and engineering. My research program will focus on a better understanding of 3-manifolds, to contribute to their classification and investigate their structures, by the use of algebraic and geometric techniques, both old and new. A related research direction is the algebraic theory of groups and their orderings, as well as geometric group theory, in which algebraic structures are viewed geometrically.