Matias del Hoyo's page

Prof. Matias del Hoyo

mdelhoyo at im.ufrj.br

Office ABC126, Instituto de Matemática,
Universidade Federal do Rio de Janeiro,
21941-909, Rio de Janeiro, Brazil

PRESENTATION

I am a math professor at UFRJ, Rio de Janeiro, since Jan 2025. Before that, I was at UFF, Niterói, since 2016.

I got my PhD at UBA, Buenos Aires in 2010, my Thesis was on Homotopy Theory and Category Theory, under the advice of Gabriel Minian. I had postdoc experiences at IMPA, Rio de Janeiro, IST, Lisbon, and UU, Utrecht. I was also Visiting Professor at IMPA and at CRM, Barcelona. Here is a link to my full CNPq Lattes.

RESEARCH

I am a member of the Geometry Research Group at IM-UFRJ.

My research areas are Algebraic Topology, Differential Geometry, Mathematical Physics, and Category Theory. I work with Lie Groupoids and Lie Algebroids, and their role in Poisson and Symplectic Geometry.

My papers and citations are at my Google Scholar profile, and my preprints can be downloaded from arXiv.org.

TEACHING

In 2025-2 I am teaching Teoria de Anéis e Topologia das Variedades.

Here are some drafts of concise lecture notes (in Portuguese) on Espaços Métricos and Álgebra Linear. They are works in progress. Please feel free to use them, and let me know if you have any comments, corrections, or suggestions.

ADVISING

My current students are Caio Magalhães (UFRJ, PhD) and Dario Aza (UBA, PhD).

I formerly advised Rafael Hernandez (UFF, Master, 2025) and Juan Desimoni (UFF, PhD, 2023), and co-advised Caio Magalhães (UFG, Master, 2024), Mateus de Melo (IMPA, PhD, 2019), and Daniel Lopez (IMPA, Master, 2017). I also supervised Cristian Cárdenas (UFF, Postdoc, 2019) and Eduardo Velasco Barreras (UFF, Postdoc, 2020).

If you're interested in working with me, please send me a message. We can discuss some ideas, and I can help you apply for fellowships.

EVENTS

2025
Feb 16 - Feb 24: I visited Jilin University at Changchun, China, and give three talks at the Sino-Russian Mathematics Center.

Jun 30 - Jul 4: I participated in the Rui Fest, Lisbon, Portugal.

Sep 22 - Sep 26: We are organizing the Workshop GAAG in Rio de Janeiro, Brazil. You are welcome to participate!

VIDEOS

These are videos for some talks I have delivered which are available in the internet:

Vector bundles over Lie groupoids, Global Poisson Webinar, Feb 2022 (virtual)

Categorifying Riemannian Manifolds, International Conference on Poisson Geometry 2016 @ ETH Zurich

The general linear 2-groupoid, Workshop Geometric Structures on Lie Groupoids 2017 @ BIRS Banff