Caterina Campagnolo

SNSF Postdoc fellow

Contact

Email: name.surname@ens-lyon.fr

Mail: ENS de Lyon Site Monod, 46, allée d'Italie, 69364 Lyon Cedex 07, France

About me

I am a postdoc funded by the Swiss national science foundation, currently working in the team Géométrie, Groupes et Dynamique at ENS Lyon under the supervision of Damien Gaboriau.

My PhD thesis was obtained at the University of Geneva under the supervision of Michelle Bucher.

I spent my first postdoc at the Karlsruhe Institute of Technology in the group of Topology under the supervision of Roman Sauer.

My main mathematical interests are in simplicial volume and its variants, bounded cohomology, low-dimensional geometry and topology, and geometric group theory.

Some attended conferences

• Online Workshop on Simplicial volumes and bounded cohomology
• Manifolds and Groups Workshop, Oberwolfach
• Workshop on Bounded Cohomology, Heidelberg
• Géométrie, topologie et arithmétique de façon hyperbolique, CUSO summer school, Les Diablerets
• Workshop: Riemannian and Simplicial Volume, Karlsruhe

Publications

• M. Bucher, C. Campagnolo. Surface bundles over surfaces: new inequalities between signature, simplicial volume and Euler characteristic. Geometriae Dedicata, 24 November 2020. DOI 10.1007/s10711-020-00570-2
• D. Benson, C. Campagnolo, A. Ranicki, C. Rovi. Signature cocycles on the mapping class group and symplectic groups. Journal of Pure and Applied Algebra, Vol. 224, Issue 11, November 2020. DOI 10.1016/j.jpaa.2020.106400
• C. Campagnolo, R. Sauer. Counting maximally broken Morse trajectories on aspherical manifolds. Geometriae Dedicata (2019), Vol. 202, pp. 387-399. DOI 10.1007/s10711-018-00420-2.
• D. Benson, C. Campagnolo, A. Ranicki, C. Rovi. Cohomology of symplectic groups and Meyer's signature theorem. Algebraic and Geometric Topology 18:7 (2018), 4069--4091. DOI 10.2140/agt.2018.18.4069.
• C. Campagnolo. The simplicial volume of surface bundles. Mathematisches Forschungsinstitut Oberwolfach, Report No. 56/2016. DOI: 10.4171/OWR/2016/56.

Preprints

• C. Campagnolo, H. Kammeyer. Products of free groups in Lie groups. Arxiv preprint, arXiv:2004.11304, 2020. Submitted.
• C. Campagnolo, D. Corro. Integral foliated simplicial volume and circle foliations. Arxiv preprint, arXiv:1910.03071, 2019. Accepted for publication in Journal of Topology and Analysis.
• C. Campagnolo. A geometric description of the homology of surface bundles. Arxiv preprint, arXiv:1603.07639, 2016.

Thesis

Teaching

• Algebraic Topology I at the Karlsruhe Institute of Technology
• Algebraic Topology II, given twice at the Karlsruhe Institute of Technology

Events

Upcoming:

• International young seminar on bounded cohomology and simplicial volume coorganized with Francesco Fournier Facio and Marco Moraschini, April-June 2021.

Past:

• International young seminar on bounded cohomology and simplicial volume, "What is...?" format, coorganized with Francesco Fournier Facio, Nicolaus Heuer, and Marco Moraschini, November-February 2020-2021
• Online Workshop on Simplicial volumes and bounded cohomology coorganized with Clara Löh, Roberto Frigerio and Marco Moraschini, 21-25 September 2020
• International young seminar on bounded cohomology and simplicial volume coorganized with Marco Moraschini, April-July 2020
• Workshop: Riemannian and Simplicial Volume, coorganized with Clara Löh and Roman Sauer, 9-11 April 2019