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.
2-Segal sets and the Waldhausen construction (joint with Julia E. Bergner, Viktoriya Ozornova, Martina Rovelli, and Claudia Scheimbauer). PDF
Stable Postnikov data of Picard 2-categories (joint with Nick Gurski, Niles Johnson and Marc Stephan). 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