EMSW21-RTG-Program in low-dimensional topology and its applications

University Of Texas At Austin, Austin TX

Investigators

Abstract

Abstract Award: DMS-0636643 Principal Investigator: Alan W. Reid, Robert E. Gompf, Cameron M. Gordon, John E. Luecke This RTG proposal is focused on training in low-dimensional topology and its applications. The study of low-dimensional manifolds has become one of the central areas of research activity in mathematics. The PI's have an established track-record of research accomplishments in several different areas of low-dimensional topology; for example knot theory, 3 and 4-manifold topology, hyperbolic manifolds and symplectic topology. The project will also allow the PI's to continue their training of postdocs and students. The subject of this RTG Proposal interacts with several other branches of mathematics as well as the applied sciences. It therefore provides fertile ground for research, education and training experiences at all levels. One of the main features of the proposal is to build, and elevate, the successful structure for training and education currently in place in the Department of Mathematics. However, an important new component of our proposal is training for interdisciplinary research. This will afford postdocs, graduate and undergraduate students educational and training experiences different from the traditional ones available at present. We therefore aim to provide a framework that supports education and training by instruction in the traditional sense, and also provide opportunity for training experiences in applications of topology in the physical and biological sciences. As part of this latter effort the project will promote interactions with scientists studying knotting phenomena in DNA and biomedical mathematics. As part of our outreach efforts, we will instigate a public lecture series that will raise the profile and level of awareness of the role of topology in other sciences in the University and local community.