Luciana Basualdo Bonatto

Whitehead Lecturer at the Mathematical Institute and Balliol CollegeUniversity of Oxford

About

Research

Teaching

Projects

Overview

I am a lecturer at the Mathematical Institute and Balliol College at the University of Oxford. Before that, I was a Postdoctoral Researcher at the Max Planck Institute for Mathematics in Bonn and an EPSRC Postdoctoral Research Associate in Algebraic Topology at the University of Oxford. I finished my Ph.D. at the University of Oxford in 2021 under the supervision of Prof Ulrike Tillmann. Before that, I completed my Bachelor’s and Master's degrees in Pure Mathematics at the University of São Paulo, Brazil.

For more details, see my CV.

Preprints

Decoupling Generalised Configuration Spaces on Surfaces (pdf). - 2022
Modular Operad of Surfaces and the Grothendieck-Teichmüller Group. With Marcy Robertson (in preparation).

Publications

Decoupling Decorations on Moduli Spaces of Manifolds. Mathematical Proceedings of the Cambridge Philosophical Society - 2022
An infinity operad of normalized cacti (pdf), with Safia Chettih, Abigail Linton, Sophie Raynor, Marcy Robertson and Nathalie Wahl. Topology and its Applications - 2022
The Influence of Memory in Multi-Agent Consensus (pdf), Kohan Marzagão, D.; Basualdo Bonatto, L.; Madeira, T.; Gauy, M.; and McBurney, P.; in Proceedings of The Thirty-Fifth AAAI Conference on Artificial Intelligence 2021.

Some Recent Talks

Stability in Topology, Arithmetic, and Representation Theory 2023, Purdue, US - July 2023.

Minicourse Scanning - from Configuration Spaces to Cobordism Categories.

Here you can find videos of these lectures. Written resources about the topic that I like are these notes by Hatcher and Part VI of Kupers' lecture notes.

34th Brazilian Mathematical Colloquium (CBM), IMPA, Rio de Janeiro, Brazil - July 2023.

Talk Homological Stability: from diffeomorphism groups to configuration spaces.

WWU Münster Topology Seminar, Münster, Germany - June 2023.

Talk Moduli Spaces of Manifolds with Configurations.

Interactions of Low-dimensional Topology and Quantum Field Theory, Les Diabrelets, Switzerland - May 2023.

Talk Moduli Spaces of Manifolds with Configurations.

Workshop on Homology of Configuration Spaces and related topics, Paris, France - May 2023.

Talk Diff-equivariant homology of configuration spaces.

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