Publications and Preprints

Below you can find the list of my papers and preprints.

Papers and Preprints

1. Vector fields and derivations on differentiable stacks, with S. Herrera and J. Waldron

Differential Geometry and its Applications Vol. 101 (2025) 102292. Preprint available in arXiv:2412.07436 

2. On the cohomology of differentiable stacks, with M. del Hoyo and F. Studzinski 

Preprint available in arXiv:2410.02570 (2024)

3. Morse theory on Lie groupoids, with F. Valencia. 

Mathematische Zeitschrift, Vol. 307 (46) (2024).)Preprint available in arXiv:2207.07594 

4. Complex Dirac structures with constant real index on flag manifolds, with C. Varea.

Annali di Matematica Pura ed Applicata, Vol. 203, 1093-1114 (2024).  Preprint available in arXiv:2304.05158 

5. The Chern-Weil-Lecomte characteristic map for L∞-algebras, with S. Herrera. Preprint available in arXiv:2306.04465 (2023)

6. Quotients of multiplicative forms and Poisson reduction, with A. Cabrera.  

Differential Geometry and its Applications Vol. 83 (2022) 101898. Preprint available in arXiv:2008.03416 

7. Morita equivalences of vector bundles, with M. del Hoyo.

International Mathematics Research Notices Vol. 2020 (14) 4395-4432 (2020). Preprint available in arXiv:1612.09289

8. On the Lie 2-algebra of sections of an LA-groupoid, with J. Waldron. 

     Journal of Geometry and Physics, Vol. 145 (2019) Preprint available in  arxiv:1703:09791  

9. Integration of 2-term representations up to homotopy via 2-functors, with O. Brahic. 

     Transactions of the American Mathematical Society, Vol. 372 (1) 503-543 (2019). Preprint available in arXiv:1608.00664

10. Obstructions to the integrability of VB-algebroids, with O. Brahic and A. Cabrera.

     Journal of Symplectic Geometry, Vol.16 (2) 439-483 (2018). Preprint available in arXiv:1403.1990 

11. VB-algebroid morphisms and representations up to homotopy, with T. Drummond and M. Jotz.

      Differential Geometry and its Applications 40, 332-357 (2015). Preprint available in  arXiv:1302.3987

12. Multiplicative Dirac structures. 

     Pac. Journal of Mathematics 266 (2), 329-365 (2013). Preprint available in arXiv:1212.0176

13. Foliated groupoids and infinitesimal ideal systems, with M. Jotz.

     Indag. Mathematicae, 25, 1019-1053, (2014). Preprint available in  arXiv:1109.4515 

14. B-field transformations of Poisson groupoids.

   Proceedings of the Second Latin Congress on Symmetries in Geometry and Physics, Matemática Contemporânea, Vol. 41, 113-148          (2012). Preprint available in arXiv:1107.3343 

15. Linear and multiplicative 2-forms, with H. Bursztyn and A. Cabrera.

     Letters in Mathematical Physics, 90, 59-83 (2009). Preprint available in arXiv:0911.0441

16. Multiplicative Dirac structures on Lie groups.

        C.R. Acad. Sci. Paris, Ser.I 346 1279-1282 (2008). Preprint available in arXiv:0906.2373

Other Publications

1. Sobre la verdad y la nobleza de la ciencia (In Spanish)

Preface to  "La moral y la ciencia" - Spanish translation of "La Morale et la Science" by Henri Poincaré.

Translation by Marcelo Pérez M. 

Santiago de Chile

Fe de Ratas Libros, 2020: 7-21.

See this note made by the online Chilean news "El Mostrador".