Caterina Campagnolo

María Zambrano Fellow

Contact

Email: name.surname@uam.es

Mail: Ciudad Universitaria de Cantoblanco, 28049 Madrid, Spain or Campus Cantoblanco UAM, C/ Nicolás Cabrera, 13-15, 28049 Madrid, Spain

About me

I am a postdoc funded by a María Zambrano grant working at the Autonomous University of Madrid and at the Instituto de Ciencias Matematicas (ICMAT) in the team of Andrei Jaikin-Zapirain.

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. Then I moved to ENS Lyon in the team Géométrie, Groupes et Dynamique, working under the supervision of Damien Gaboriau. I have been funded by a Postdoc.Mobility grant of the Swiss national science foundation for 22 months (grant number P400P2_191107), 18 of which were spent at the ENS Lyon, and 4 already at the ICMAT in Madrid.

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

• North Britsh Geometric Group Theory Seminar, Newcastle
• Leaning into Topology Workshop, Pisa
• Non-positive curvature in manifolds and groups, Bologna
• Groups in Madrid 2022, Madrid
• Recent Advances in Bounded Cohomology, Regensburg
• Workshop on Topological Methods in Geometry, Barcelona
• Gran Bilbao III, Bilbao
• Rencontre "Groupes et Géométrie" à la maison du Kleebach, Kleebach
• 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

• C. Campagnolo, S. Wang. An l_1-norm-mass inequality for complete manifolds. Accepted for publication in Annales de l'Institut Fourier, 2022.
• C. Campagnolo, D. Corro. Integral foliated simplicial volume and circle foliations. Journal of Topology and Analysis, Vol. 15, No. 01, pp. 155-184 (2023), DOI 10.1142/S1793525321500266.
• C. Campagnolo, Francesco Fournier Facio, Nicolaus Heuer, Marco Moraschini, editors. Bounded Cohomology and Simplicial Volume, LMS Lecture Note Series, 2022.
• C. Campagnolo, H. Kammeyer. Products of free groups in Lie groups. Journal of Algebra, Volume 579, 1 August 2021, pp. 237--255. DOI 10.1016/j.jalgebra.2021.03.023.
• M. Bucher, C. Campagnolo. Surface bundles over surfaces: new inequalities between signature, simplicial volume and Euler characteristic. Geometriae Dedicata (2021), Vol. 213, pp. 107--119. 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), pp. 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, Francesco Fournier-Facio, Yash Lodha, Marco Moraschini. Displacement techniques in bounded cohomology. Arxiv preprint, arXiv:2401.08857, 2024.
• C. Campagnolo, Francesco Fournier-Facio, Yash Lodha, Marco Moraschini. An algebraic criterion for the vanishing of bounded cohomology. Arxiv preprint, arXiv:2311.16259, 2023.
• C. Campagnolo. A geometric description of the homology of surface bundles. Arxiv preprint, arXiv:1603.07639, 2016.

Thesis

Teaching

• Exercise class for Estructuras algebraicas at the Autonomous University of Madrid with Professor Ana Bravo Zarza, Fall 2022 and Fall 2023
• Algebraic Topology I at the Karlsruhe Institute of Technology
• Algebraic Topology II, given twice at the Karlsruhe Institute of Technology

Events

Ongoing:

Past:

• Groups in Madrid 2022, coorganized with Yago Antolín, Javier Aramayona, Alejandra Garrido and Andrei Jaikin-Zapirain, 20-21 October 2022
• International young seminar on bounded cohomology and simplicial volume coorganized with Francesco Fournier Facio, Clara Löh and Marco Moraschini, April-June 2022
• International young seminar on bounded cohomology and simplicial volume coorganized with Francesco Fournier Facio and Marco Moraschini, October 2021-Febuary 2022
• International young seminar on bounded cohomology and simplicial volume coorganized with Francesco Fournier Facio and Marco Moraschini, April-June 2021
• 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