Rovelli Martina

Biography

I got my bachelor and master degrees at University of Genoa, Italy. I am currently a Phd student at EPF Lausanne, under the supervision of Prof. Kathryn Hess.
My interests are in algebraic topology, homotopy theory of principal bundles and higher category theory.

Current work

Work from my thesis on the homotopy theory of principal bundles:
> A looping-delooping adjunction for topological spaces
to appear in Homology, Homotopy and Applications
available at arXiv:1503.04840
> A characteristic long exact sequence for principal bundles
available at arXiv:1610.08893
> Counting the structures of a kind for a principal bundle
in preparation

Joint work with Bergner, Osorno, Ozornova and Scheimbauer on 2-Segal spaces:
> 2-Segal sets and the Waldhausen construction
available at arXiv:1609.02853
> 2-Segal spaces and Twisted arrow category
in preparation

Talks

> Young researchers in homotopy theory and categorical structures, February 2017 (upcoming)
Max Planck Institute for Mathematics (MPI), Bonn, Germany
2-Segal sets and the Waldhausen construction

> Topology seminar, January 2017
École Polytechnique Fédérale de Lausanne (EPFL), Switzerland
2-Segal sets and the Waldhausen construction

> Topology seminar, September 2016
École Polytechnique Fédérale de Lausanne (EPFL), Switzerland
Characteristic classes as obstructions

> Young Topologists’ Meeting 2016, July 2016
University of Copenhagen, Denmark
A looping-delooping adjunction for topological spaces

> Workshop in Category Theory and Algebraic Topology, September 2015
Université Catholique de Louvain (UCL), Belgium
A looping-delooping adjunction for topological spaces

> Topology seminar, October 2014
École Polytechnique Fédérale de Lausanne (EPFL), Switzerland
A looping-delooping adjunction for topological spaces

Teaching experience

I have been teaching assistant for the following courses at EPFL:

> Topology, for Mathematics, Spring 2016
> Linear Algebra, for Life Science, Fall 2015
> Topology 2, for Mathematics, Spring 2015
> Topology 1, for Mathematics, Fall 2014
> Topology 2, for Mathematics, Spring 2014
> Topology 1, for Mathematics, Fall 2013
> Topology 2, for Mathematics, Spring 2013