Mathematical research
I used to do research in algebraic geometry (mostly working with model categories and triangulated categories). I graduated and completed my PhD in the University of Barcelona and then worked as a postdoc in the Masaryk University of Brno and the University of Regensburg.
- MTM2016-76453-C2-2-P, Topología algebraica y de baja dimensión with Prof. Carles Casacuberta.
- SFB 1085 Higher Invariants, Collaborative Research Center (funded by the DFG) with Prof. Dr. Niko Naumann.
- AmeGA project with Prof. Jiří Rosický.
Articles
Articles
- The hammock localization preserves homotopies, Homology, Homotopy and Appl., Vol. 17, No. 2 (2015), pp. 191-204 (previously in arXiv:1404.7354)
- Transfinite Adams representability, with F. Muro, Advances in Mathematics, Vol. 292 (2016), pp. 111-180, (previously in arXiv:1304.3599)
- Comparing localizations across adjunctions, arXiv:1404.7340
Miscellaneous Articles
Miscellaneous Articles
- Stabilization of homology localization of spaces, with C. Casacuberta
PhD Thesis
PhD Thesis
Adams Representability in Triangulated Categories, March 2011, University of Barcelona, under the advisory of Carles Casacuberta and Fernando Muro.
Selected Contributions to Conferences
Selected Contributions to Conferences
Teaching
Teaching
- Spring 2016: Seminar on the Galois group of stable homotopy categories.
- Fall 2014: Course on Triangulated Categories.
- Past courses at the University of Barcelona: Algebraic Topology, General Topology, Knot Theory, Commutative Algebra, Linear Algebra, Linear Geometry, Differential Geometry of Curves and Surfaces, Mathematics for Chemistry and Mathematics for Informatics Engineering.