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

  • Spring 2019: MATH 201 - Linear Algebra
  • 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

  • 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). To appear in J. Pure Appl. Algebra. 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

  • 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

    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