Department of Mathematics
Email: aosorno at reed dot edu
I am on sabbatical leave during the 2016-2017 academic year. I am being partially supported by the Career Enhancement Fellowship from the Woodrow Wilson Foundation.
I do research in algebraic topology. I am particularly interested in higher category theory and its connections with higher K-theory. In 2010, I got my PhD at MIT with Mark Behrens. From 2010 to 2013, I was a postdoc at the University of Chicago working with Peter May.
Equivariant infinite loop space theory, I. The space level story (joint with J. Peter May and Mona Merling). PDF.
2-Segal sets and the Waldhausen construction (joint with Julia E. Bergner, Viktoriya Ozornova, Martina Rovelli, and Claudia Scheimbauer). To appear in Proceedings of WIT II in Topology and its Applications. PDF
Stable Postnikov data of Picard 2-categories (joint with Nick Gurski, Niles Johnson and Marc Stephan). To appear in Algebraic and Geometric Topology. PDF
Extending homotopy theories across adjunctions (joint with Nick Gurski and Niles Johnson). To appear in Homology, Homotopy and Applications. PDF
K-theory for 2-categories (joint with Nick Gurski and Niles Johnson). PDF
Constructing equivariant spectra via categorical Mackey functors (joint with Anna Marie Bohmann). Algebraic and Geometric Topology 15(1):537-563, 2015.PDF
A model structure on GCat (joint with Anna Marie Bohmann, Kristen Mazur, Viktoriya Ozornova, Kate Ponto and Carolyn Yarnall). Women in Topology: Collaborations in Homotopy Theory, Contemp. Math. 641, 123-134, 2015.. PDF
Infinite loop spaces, and coherence for symmetric monoidal bicategories (Joint with Nick Gurski). Advances in Mathematics, 246:1-32, 2013. PDF
Modeling stableone-types (joint with Niles Johnson). Theory and Applications of Categories, 26:520-537, 2012.PDF
Spectra associated to symmetric monoidal bicategories. Algebraic and Geometric Topology, 12(1):307-342, 2012.PDF
Explicit formulas for 2-characters. Topology and its Applications, 157(2):369-377, 2010.PDF
Espacios de lazos infinitos (Survey paper about infinite loop spaces - in Spanish). Boletín de Matemáticas, 18(2):163-182, 2011.PDF