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David Ayala is an Associate Professor of mathematics at Montana State University, working on quantum topology and factorization homology. He has published several papers on these topics, and is organizing a symplectic geometry workshop in 2023.
4 DAVID AYALA DAVID.AYALA@MONTANA.EDU Editorial Work. Topology and quantum theory in interaction. Jointly edited with Daniel Freed and Ryan Grady. Contemporary Math-ematics of the American Mathematical Society, 718 (2018). Teaching. Methods of Proof. Spring 2023. Algebraic Topology. Spring 2023. Topology. Fall 2022. Calculus on Manifolds. Fall ...
Oct 31, 2019 · A paper on arXiv that introduces a theory of stratifications of noncommutative stacks and applies it to equivariant stable homotopy theory and tensor-triangular geometry. The paper is authored by David Ayala, Aaron Mazel-Gee, and Nick Rozenblyum.
- David Ayala, Aaron Mazel-Gee, Nick Rozenblyum
- 2019
David Ayala. Montana State University Department of Mathematical Sciences. david.ayala@montana.edu. Employment Montana State University, Bozeman, MT Associate Professor, August 2014 - present. Mathematical Sciences Research Institute (UC Berkeley), Berkeley, CA Postdoctoral research fellow, December 2013 - June 2014.
Department of Mathematical Sciences Montana State University P.O. Box 172400 Bozeman, MT 59717-2400. Tel: (406) 994-3601 Fax: (406) 994-1789 Location: 2-214 Wilson Hall
Sep 2, 2014 · A paper on factorization homology, or topological chiral homology, of stratified spaces with tangential structures. It characterizes factorization homology theories by a generalization of the Eilenberg--Steenrod axioms and extends the nonabelian Poincaré duality to stratified spaces.
- David Ayala, John Francis, Hiro Lee Tanaka
- 2014
Apr 15, 2015 · Mathematics > Algebraic Topology. [Submitted on 15 Apr 2015 ( v1 ), last revised 21 Feb 2020 (this version, v7)] Factorization homology I: higher categories. David Ayala, John Francis, Nick Rozenblyum. We construct a pairing, which we call factorization homology, between framed manifolds and higher categories.
