Publications

 Published papers > 

  1. On functorial (co)localization of algebras and modules over operads, with Markus Spitzweck, Oliver Röndings and Paul Arne Østvær
    Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 91 (2021), no.2, 153–178 [journal][arXiv]
  2. On Morita weak equivalences of simplicial algebraic theories and operads, with Giovanni Caviglia
    Journal of Pure and Applied Algebra 224 (2020), no. 4, 106217 [journal] [arXiv]
  3. Morita homotopy theory for (∞,1)-categories and ∞-operads, with Giovanni Caviglia
    Forum Mathematicum 31 (2019), no.3, 661–684 [journal] [arXiv]
  4. Encoding equivariant commutativity via operads, with David White
    Algebraic & Geometric Topology 18 (2018), no.5, 2919–2962. [journal] [arXiv]
  5. Bousfield localisations along Quillen bifunctors, with Constanze Roitzheim
    Applied Categorical Structures 25 (2017), no.6, 1113–1136. [journal] [arXiv]
  6. Towers and fibered products of model structures, with Constanze Roitzheim
    Mediterranean Journal of Mathematics 13 (2016), no. 6, 3863–3886. [journal] [arXiv]
  7. Homotopy transfer and rational models for mapping spaces, with Urtzi Buijs
    Journal of Homotopy and Related Structures 11 (2016), no. 2, 309–332. [journal] [arXiv]
  8. On autoequivalences of the (∞,1)-category of ∞-operads, with Dimitri Ara and Moritz Groth
    Mathematische Zeitschrift 281 (2015), no. 3-4, 807–848. [journal] [arXiv]
  9. On solid and rigid monoids in monoidal categories
    Applied Categorical Structures 23 (2015), no. 2, 575–589. [journal] [arXiv]
  10. A generalization of Ohkawa's theorem, with Carles Casacuberta and Jirí Rosický
    Compositio Mathematica 150 (2014), 893–902. [journal] [arXiv]
  11. Are all localizing subcategories of stable homotopy categories coreflective?, with Carles Casacuberta and Jirí Rosický
    Advances in Mathematics 252 (2014), 158–184. [journal] [arXiv]
  12. Derivations, the Lawrence-Sullivan interval and the Fiorenza-Manetti mapping cone, with Urtzi Buijs and Aniceto Murillo
    Mathematische Zeitschrift 273 (2013), no. 3-4, 981–997. [journal] [pdf]
  13. Cellularization of structures in stable homotopy categories
    Mathematical Proceedings of the Cambridge Philosophical Society 153 (2012), 399–418. [journal] [arXiv]
  14. Motivic slices and colored operads, with Markus Spitzweck, Oliver Röndings and Paul Arne Østvær
    Journal of Topology 5 (2012), 727–755. [journal] [arXiv]
  15. Transfer of algebras over operads along Quillen adjunctions
    Journal of the London Mathematical Society 86 (2012), 607–625. [journal] [arXiv]
  16. A model structure for coloured operads in symmetric spectra, with Rainer Vogt
    Mathematische Zeitschrift 270 (2012), 223–239. [journal] [arXiv]
  17. Dold-Kan correspondence for dendroidal abelian groups, with Andor Lukacs and Ittay Weiss
    Journal of Pure and Applied Algebra 215 (2011), 1669–1687. [journal] [arXiv]
  18. Localization of algebras over coloured operads, with Carles Casacuberta, Ieke Moerdijk and Rainer Vogt
    Proceedings of the London Mathematical Society 101 (2010), 105–136. [journal] [arXiv]
  19. Homological localizations of Eilenberg-Mac Lane spectra
    Forum Mathematicum 22 (2010), 349–356. [journal] [arXiv]
  20. Strict modules and homotopy modules in stable homotopy
    Homology, Homotopy and Applications 7(1) (2005), 39–49. [journal] [pdf]
  21. Homotopical localizations of module spectra, with Carles Casacuberta
    Transactions of the American Mathematical Society 357 (2005), 2753–2770. [journal] [pdf]

 Book chapters > 

  • Lectures on dendroidal sets, by Ieke Moerdijk (Notes written by Javier J. Gutiérrez)
    Advanced Courses in Mathematics CRM Barcelona, Simplicial methods for operads and algebraic geometry, 1–118
    Birkhäuser/Springer Basel AG, Basel, 2010 [book]

 Preprints > 

  • Cloning systems and action operads, with Javier Aramayona, Federico Cantero and Víctor Carmona [arXiv]
  • Homotopy reflectivity is equivalent to the weak Vopenka principle, with Carles Casacuberta [arXiv]

 Other > 

  • Localización y conservación de estructuras en homotopía estable, Ph.D. Thesis
    Universitat de Barcelona (2004). (Spanish [pdf] or Catalan [pdf])
  • Stable localizations of module spectra, Master's Thesis
    Universitat Autònoma de Barcelona (2001). [pdf].