Matias L. del Hoyo

Professor Adjunto
Departamento de Geometria, IME
Universidade Federal Fluminense 


PRESENTATION

I am an Argentine mathematician living in Rio de Janeiro, and working at UFF (Niterói) since 2016. 

I got my PhD at UBA (Buenos Aires) in 2010 and wrote my Thesis about Homotopy Theory and Category Theory under the advice of Gabriel Minian. I had postdoc experiences at IMPA (Rio de Janeiro), IST (Lisbon), UU (Utrecht) and CRM (Barcelona). A more detailed CV can be consulted in my CNPq Lattes. 

If you want to contact me please send me an email to mldelhoyo at id.uff.br.


RESEARCH

I am a CNPq PQ1D Fellow since 2018 and a FAPERJ JCNE Fellow since 2021.  

My research areas are Algebraic Topology, Differential Geometry, and Category Theory.  I work with Lie Groupoids and Lie Algebroids, and their role in Poisson and Symplectic Geometry. A list of my papers and citations is available at my Google Scholar profile, and my preprints can be downloaded from arXiv.org. 

I have collaborated with the following colleagues and friends: Henrique Bursztyn (IMPA), Alejandro Cabrera (UFRJ), Rui Loja Fernandes (UIUC), Gabriel Minian (UBA), Cristian Ortiz (USP), Enrique Pujals (IMPA), Davide Stefani (Jussieu), Mateus de Melo (UFSCar), Daniel Lopez (IMPA) and Giorgio Trentinaglia (IST).


TEACHING

I teach at UFF both for undergraduate and graduate students. 

Here are some drafts of concise lecture notes (in Portuguese) on Espaços Métricos and Álgebra Linear. I am just writing them, please feel free to use them, and let me know of any comment, correction, or suggestion you may have. 

The courses I have taught for graduate students are Topologia das Variedades, Geometria Simplética, Teoria de Lie, and Topologia Algébrica (PhD), and Álgebra Linear and Introdução à Topologia  (Master).

I also taught Grupóides e Algebróides de Lie (PhD) twice at IMPA, jointly with H. Bursztyn.


ADVISING

I am currently advising Gabriel Costa Mendes (UFF, Master) and also co-advising Dario Aza (UBA, PhD) with Federico Quallbrunn, and Caio Magalhães (UFG, Master) with Ricardo de Oliveira.

I formerly advised Juan Desimoni (UFF, PhD, 2023), Daniel Lopez (IMPA, Master, 2017), co-advised Mateus de Melo (IMPA, PhD, 2019) with Henrique Bursztyn, and supervised Cristian Cárdenas (UFF, Postdoc, 2019) and Eduardo Velasco Barreras (UFF, Postdoc, 2020).

If you want to work with me just send me a message. We can discuss a bunch of problems and ideas, and maybe I can help you apply for fellowships. 


CONFERENCES
& SEMINARS
 

I have participated in the organization of several events, including the following:

Dec 2020: Workshop Geometry in algebra and Algebra in Geometry VI @ UFF Niterói (virtual)

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