Angélica M. Osorno

Angélica M. Osorno


Assistant Professor
Department of Mathematics
Reed College
Office: L305
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.

Conference organizing

  • I am co-organizing the conference Homotopy Theory in the Ecliptic: Chromatic, Equivariant, and Motivic Mathematics, on the occasion of Doug Ravenel's 70th birthday. The conference will take place at Reed College, August 18-21, 2017.
  • I am the chair of the scientific committee for the Topology Ecuador 2017 Conference that will take place in the Galápagos Islands, Ecuador, in August 14-18, 2017.
  • 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.
  • Kyle Ormsby and I organized the conference on Equivariant and Motivic Homotopy Theory at Reed College, May 30-31, 2015.

  • Teaching

  • Spring 2016: MATH 212 - Multivariable Calculus II
  • Fall 2015: MATH 211 - Multivariable Calculus I
  • Fall 2015: MATH 331 - Linear Algebra
  • Spring 2015: MATH 112 - Intro to Analysis
  • Spring 2015: MATH 342 - Topology
  • Fall 2014: MATH 111 - Calculus
  • Fall 2014: MATH 211 - Multivariable Calculus I
  • Fall 2013: MATH 111 - Calculus

  • Research Papers

  • 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

  • Other publications

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

    Collaborators

  • Julie Bergner
  • Anna Marie Bohmann
  • Bert Guillou
  • Nick Gurski
  • Niles Johnson
  • Kristen Mazur
  • Peter May
  • Mona Merling
  • Viktoriya Ozornova
  • Kate Ponto
  • Martina Rovelli
  • Claudia Scheimbauer
  • Marc Stephan
  • Carolyn Yarnall

  • Some links:

    CV
    Reed College Math Department
    Reed Conference on Equivariant and Motivic Homotopy Theory
    UofC Math Department
    UofC Topology Seminar
    MIT Math Department
    MIT Topology Seminar
    MIT Babytop Seminar