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

• 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, D. Corro. Integral foliated simplicial volume and circle foliations. DOI 10.1142/S1793525321500266, 2021. Online ready in Journal of Topology and Analysis.
• 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, S. Wang. An l_1-norm-mass inequality for complete manifolds. Arxiv preprint, arXiv:2203.04131, 2022.
• 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
• 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 organized by Federica Bertolotti, Kevin Li, Clara Löh and Matthias Uschold, November 2022-February 2023

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

  On the webpage of the seminar, you will find a preliminary version of the proceedings of the seminar of that semester. Here is the link to the published version in the LMS Lecture Note Series. Since the Winter Semester 2020 was devoted to foundational topics, we hope this book will serve as a gentle introduction for young mathematicians working in the field to topics of current research interest.

• 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