Angélica M. Osorno

Angélica M. Osorno


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.

Teaching

  • Fall 2018: MATH 113 - Discrete Structures
  • Fall 2018: MATH 341 - Topics in Geometry
  • Spring 2018: MATH 201 - Linear Algebra
  • Spring 2018: MATH 342 - Topology
  • Fall 2017: MATH 201 - Linear Algebra
  • Fall 2017: MATH 412 - Topics in Algebra: Representation Theory
  • 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

  • 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

  • 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

  • Conference organizing

  • I am co-organizing the third edition of the Women in Topology Workshop, at the Hausdorff Institute in Bonn, Germany, August 2019.
  • 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.
  • Reed College hosted the Underrepresented Students in Topology and Algebra Research Symposium (USTARS) in April, 2018.
  • I co-organized the conference Homotopy Theory in the Ecliptic: Chromatic, Equivariant, and Motivic Mathematics, on the occasion of Doug Ravenel's 70th birthday. The conference took place at Reed College, August 18-21, 2017.
  • 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.
  • Kyle Ormsby and I organized the conference on Equivariant and Motivic Homotopy Theory at Reed College, May 30-31, 2015.

  • 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