معرفی
Laurence Taylor is a Professor in the Department of Mathematics at the University of Notre Dame, affiliated with the College of Science. He holds a B.A. from Princeton University (1967) and a Ph.D. from the University of California, Berkeley (1971). His research focuses on geometric topology, algebraic K-theory, surgery theory, and algebraic topology, with notable contributions to the understanding of exotic stratifications, smooth 4-manifolds, and cohomotopy sets.
Education:
- A.B., Princeton University, 1967
- Ph.D., University of California, Berkeley, 1971
Research Interests:
Dr. Taylor's work bridges geometric and algebraic topology, emphasizing the interplay between global geometric structures and algebraic invariants. His studies on surgery theory and exotic smooth structures on 4-manifolds have advanced foundational concepts in differential topology. He has explored topics like Massey products, étale maps, and Pin structures, often employing advanced cohomological and categorical frameworks.
Publications:
His recent works include studies on principal fibration sequences (2012), Massey triple products (2010), and exotic stratifications (2007). Notable earlier contributions include foundational papers on smooth Euclidean 4-spaces (1999) and Rochlin invariants (1984).
Labs/Teams:
He collaborates with topologists and algebraists, including Ian Hambleton, Robion Kirby, and Bruce Williams, on projects involving surgery theory, geometric functors, and manifold classification.
