Department of Mathematics
Email: aosorno at reed dot edu
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.
The edgewise subdivision criterion for 2-Segal objects (joint with Julia E. Bergner, Viktoriya Ozornova, Martina Rovelli, and Claudia Scheimbauer). PDF
The 2-dimensional stable homotopy hypothesis (joint with Nick Gurski and Niles Johnson). PDF.
Equivariant infinite loop space theory, II. The multiplicative Segal machine (joint with Bert Guillou, J. Peter May and Mona Merling). PDF.
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). Algebraic and Geometric Topology 17, no. 5, 2763-2806, 2017. PDF
Extending homotopy theories across adjunctions (joint with Nick Gurski and Niles Johnson). Homology, Homotopy and Applications 19 no. 2, 89-110, 2017. PDF
K-theory for 2-categories (joint with Nick Gurski and Niles Johnson). Advances in Mathematics 322: 378-472, 2017. 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 stable one-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