Associate Professor
Department of Mathematics
Reed College
Office: L305
Email: aosorno at reed dot edu
I am on leave during fall 2019.
Nick Gurski, Niles Johnson and I wrote an article for Notices of the AMS outlining our research on the stable homotopy hypothesis.
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.
Biased permutative equivariant categories (joint with Kayleigh Bangs, Skye Binegar, Young Kim, Kyle Ormsby, David Tamas-Parris, Livia Xu). PDF
Comparison of Waldhausen constructions (joint with Julia E. Bergner, Viktoriya Ozornova, Martina Rovelli, and Claudia Scheimbauer). PDF
A multiplicative comparison of Waldhausen and Segal K-theory (joint with Anna Marie Bohmann). PDF
2-Segal objects and the Waldhausen construction (joint with Julia E. Bergner, Viktoriya Ozornova, Martina Rovelli, and Claudia Scheimbauer). PDF
Symmetric monoidal G-categories and their strictification (joint with Bert Guillou, J. Peter May and Mona Merling). PDF.
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). J. Pure Appl. Algebra 223(10):4348–4383, 2019.PDF.
A symmetric monoidal and equivariant Segal infinite loop space machine (joint with Bert Guillou, J. Peter May and Mona Merling). J. Pure Appl. Algebra 223(6):2425-2454, 2019.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). Topology Appl. 235, 445-484, 2018.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
Topological Invariants of Higher Categories. Notices of the AMS, Vol 66, No 8, 2019. PDF
Invitación a la teoría de homotopía: Grupo
fundamental y espacios recubridores (Introduction to basic concepts in homotopy theory - in Spanish). Lect. Mat. 39(1):29-48, 2018.PDF
Espacios de lazos infinitos (Survey paper about infinite loop spaces - in Spanish). Bol. Mat. 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.
