Assistant Professor
Department of Mathematics
Reed College
Office: L305
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 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

Other publications

Espacios de lazos infinitos (Survey paper about infinite loop spaces - in Spanish). Boletín de Matemáticas, 18(2):163-182, 2011.PDF

I am the administrator for the mailing list of the Cascade Topology Seminar. If you would like to be added to the list, please send me an email with your request.

I was the chair of the scientific committee for the Topology Ecuador 2017 Conference that took place in the Galápagos Islands, Ecuador, in August 14-18, 2017.