I am a postdoctoral researcher in mathematics at the BGSMath. Previously I was a postdoc in the topology group at the Université catholique de Louvain and in the Topology group at WWU Münster. I obtained my PhD at University of Barcelona under the supervision of Carles Casacuberta and Oscar Randal-Williams. Here are my cv, my contact data and my travels.
My research is about algebraic and geometric topology, particularly the homotopy theory of moduli spaces of submanifolds, to which I have applied the techniques of homological stability. The prominent examples of such moduli spaces are configuration spaces (when the submanifolds have dimension 0) and knot spaces (when the submanifolds have dimension 1).
Rational homotopy theory of Thom spaces, with Urtzi Buijs (arxiv)
A metric for the space of submanifolds of Galatius and Randal-Williams (arxiv)
The space of merging submanifolds in Rn (arxiv)
A note on hyperspaces and the compact-open topology (arxiv)
On homological stability for configuration spaces in closed background manifolds, with Martin Palmer, Documenta Math. 20 (2015) 753--805. (arxiv)
Homological stability for spaces of embedded surfaces, with Oscar Randal-Williams, to appear in Geometry and Topology (arxiv)
On homological stability for configuration spaces in closed background manifolds, at YTM in Copenhaguen (2014) (pdf)
Stable homology of spaces of embedded surfaces: Closed background manifolds at SYTM in Barcelona (2013) (pdf)
Homological stability for spaces of embedded surfaces, at UNED in Madrid (2013) (pdf in spanish)
Una métrica para el espacio de subvariedades de Galatius y Randal-Williams, at XX Encuentro de la Red Española de Topología in Madrid (2013) (poster)
Estabilidad homológica para espacios de superficies, at XVIII Encuentro de la Red Española de Topología in Sevilla (2011) (poster)