Francesco Cattafi
- Julius-Maximilians-Universität Würzburg = University of Würzburg [Würsburg, Germany] (JMU)
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francesco-cattafi
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0000-0001-9785-0770
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cattafi_f_1
- ResearcherID : AAC-5214-2020
Présentation
I am a theoretical mathematician, currently working as a postdoctoral researcher and lecturer at Julius-Maximilians-Universität Würzburg (Germany). I previously held positions at Universität Wien (Austria) and KU Leuven (Belgium), and I obtained a PhD from Universiteit Utrecht (The Netherlands) and MSc and BSc from Università degli studi di Torino (Italy). My research field is Differential Geometry, with expertise in Lie groupoids and algebroids, Lie pseudogroups, Cartan geometries, G-structures, geometry of PDEs, and Poisson geometry. I have worked in seven institutions across six countries, with eight different supervisors/mentors. This has provided me with broad experience in writing research articles, presenting them at conferences and seminars, and obtaining research grants. I have more than 10 years of extensive teaching experience, including giving lectures, developing new curricula and course materials, holding exercise classes and supervising students' theses and projects. I also attended a teaching training programme and obtained an advanced teaching certificate. I am currently on the job market for academic positions starting after the summer 2026.
Domaines de recherche
Publications
Publications
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PB-groupoids vs VB-groupoidsRevista Matemática Iberoamericana, 2025, 42 (1), pp.345-392. ⟨10.4171/rmi/1580⟩ |
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Poisson manifoldWikiJournal of Science, 2024, 7 (1), pp.X. ⟨10.15347/wjs/2024.006⟩ |
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Cartan geometries and multiplicative formsDifferential Geometry and its Applications, 2021, 75, pp.101722. ⟨10.1016/j.difgeo.2021.101722⟩ |
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From PDEs to Pfaffian fibrationsL'Enseignement Mathématique , 2020, 66 (1), pp.187-250. ⟨10.4171/LEM/66-1/2-10⟩ |
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Variational derivatives in locally Lagrangian field theories and Noether–Bessel-Hagen currentsInternational Journal of Geometric Methods in Modern Physics, 2016, 13 (08), pp.1650067. ⟨10.1142/S0219887816500675⟩ |
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Sub-Riemannian structures and non-transitive Cartan geometries via Lie groupoids2026 |
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Pseudogroups of symmetries and Morita equivalences2026 |
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A groupoid approach to transitive differential geometry2026 |
A general approach on almost structures in geometryDifferential Geometry [math.DG]. Universiteit Utrecht (Utrecht, Pays-Bas), 2020. English. ⟨NNT : ⟩ |