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

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.

PUBLICATIONS

Preprints

A. Cabrera, M. del Hoyo, Geometric differentiation of simplicial manifolds, arXiv:2602.09885.
M. del Hoyo, C. Ortiz, F. Studzinski, On the cohomology of differentiable stacks, arXiv:2410.02570.

Chapters

H. Bursztyn, M. del Hoyo, Lie groupoids, Encycl. Math. Phys. (2nd ed.), 2025, 469–484.

Papers

M. del Hoyo, G. Trentinaglia, Higher vector bundles, Int. Math. Res. Not. IMRN, 2025.
H. Bursztyn, A. Cabrera, M. del Hoyo, Poisson double structures, J. Geom. Mech. 14 (2022), 151–178.
M. del Hoyo, M. de Melo, Geodesics on Riemannian stacks, Transform. Groups 27 (2022), 403–427.
M. del Hoyo, M. de Melo, On invariant linearization of Lie groupoids, Lett. Math. Phys. 111 (2021), Art. 112.
M. del Hoyo, D. L. Garcia, On Hausdorff integrations of Lie algebroids, Monatsh. Math. 194 (2021), 811–833.
A. Cabrera, M. del Hoyo, E. Pujals, Discrete dynamics and differentiable stacks, Rev. Mat. Iberoam. 36 (2020), 2121–2146.
M. del Hoyo, C. Ortiz, Morita equivalences of vector bundles, Int. Math. Res. Not. IMRN 2020 (2020), 4395–4432.
M. del Hoyo, R. L. Fernandes, On deformations of compact foliations, Proc. Amer. Math. Soc. 147 (2019), 4555–4561.
M. del Hoyo, D. Stefani, The general linear 2-groupoid, Pacific J. Math. 298 (2019), 33–57.
M. del Hoyo, R. L. Fernandes, Riemannian metrics on differentiable stacks, Math. Z. 292 (2019), 103–132.
M. del Hoyo, R. L. Fernandes, Riemannian metrics on Lie groupoids, J. Reine Angew. Math. 735 (2018), 143–173.
M. del Hoyo, Complete connections on fiber bundles, Indag. Math. (N.S.) 27 (2016), 985–990.
H. Bursztyn, A. Cabrera, M. del Hoyo, Vector bundles over Lie groupoids and algebroids, Adv. Math. 290 (2016), 163–207.
M. del Hoyo, Lie groupoids and their orbispaces, Port. Math. 70 (2013), 161–209.
M. del Hoyo, On the loop space of a 2-category, J. Pure Appl. Algebra 216 (2012), 28–40.
M. del Hoyo, On the homotopy type of a cofibred category, Cah. Topol. Géom. Différ. Catég. 53 (2012), 82–114.
M. del Hoyo, E. G. Minian, Classical invariants for global actions and groupoid atlases, Appl. Categ. Structures 16 (2008), 689–721.
M. del Hoyo, On the subdivision of small categories, Topology Appl. 155 (2008), 1189–1200.