(jt. with Z. Li) A projective resolution for the Fomin-Kirillov algebra FK(4). J. Algebra. 684 (2025), 612-689. [Preprint].
(jt. with Z. Li) Hochschild and cyclic (co)homology of the Fomin-Kirillov algebra on 3 generators. J. Noncommut. Geom. 18 (2024), no. 1, 143–230. [Preprint].
Vertex algebras and 2-monoidal categories. Math. Res. Lett. 30 (2023), no. 5, 1411–1462. [Preprint].
(jt. with Z. Li) Gerstenhaber structure on Hochschild cohomology of the Fomin-Kirillov algebra on 3 generators. Doc. Math. 27 (2022), 1773-1804. [Preprint].
Cyclic A∞-algebras and cyclic homology. Homology Homotopy Appl. 25 (2023), no. 1, 287-318. [Preprint].
(jt. with D. Fernández) Double quasi-Poisson algebras are pre-Calabi-Yau. Int. Math. Res. Not. IMRN 2022, no. 23, 18291–18345. [Preprint].
Yoneda A∞-algebras and lattices of vector spaces. J. Algebra. 608 (2022), 465-486. [Preprint].
(jt. with D. Fernández) Cyclic A∞-algebras and double Poisson algebras. J. Noncommut. Geom. 15 (2021), no. 1, 241-278. [Preprint].
A simple note on the Yoneda (co)algebra of a monomial algebra. Ukraïn. Mat. Zh. 73 (2021), no. 2, 275-277 (reprinted in Ukrainian Math. J. 73 (2021), no. 2, 320-322). [Preprint].
Hochschild cohomology of filtered dg algebras. High. Struct. 4 (2020), no. 2, 167-182. [Preprint].
An elementary computation of the cohomology of the Fomin-Kirillov algebra with 3 generators. Homology Homotopy Appl. 22 (2020), no. 2, 367-386. [Preprint].
On the Merkulov construction of A∞-(co)algebras. Ukraïn. Mat. Zh. 71 (2019), no. 8, 1133-1140 (reprinted in Ukrainian Math. J. 71 (2020), no. 8, 1294-1302). [Preprint].
The curved A∞-coalgebra of the Koszul codual of a filtered dg algebra. Glasg. Math. J. 61 (2019), no. 3, 575-600. [Preprint].
(jt. with V. Dang) Renormalization of Quantum Field Theory on Riemannian manifolds. Rev. Math. Phys. 31 (2019), no. 06, 1950017, 30 pp. [Preprint].
Hochschild (co)homology of Koszul dual pairs. J. Noncommut. Geom. 13 (2019), no. 1, 59-85. [Preprint].
Applications of one-point extensions to compute the A∞-(co)module structure of several Ext (resp., Tor) groups. J. Pure Appl. Algebra 223 (2019), no. 3, 1054-1072. [Preprint].
A higher homotopic extension of persistent (co)homology. J. Homotopy Relat. Struct. 13 (2018), no. 3, 599-633.
On the definition of multi-Koszul modules. J. Algebra 499 (2018), 478-505.
Using torsion theory to compute the algebraic structure of Hochschild (co)homology. Homology Homotopy Appl. 20 (2018), no. 1, 117-139.
(jt. with S. Chouhy and A. Solotar) Hochschild homology and cohomology of down-up algebras. J. Algebra 498 (2018), 102-128.
Spectral sequences associated to deformations. J. Homotopy Relat. Struct. 12 (2017), no. 3, 513-548.
Some remarks on representations of Yang-Mills algebras. J. Math. Phys. 56 (2015), no. 1, 011702, 6 pp.
(jt. with A. Solotar and M. Suárez-Álvarez) PBW-deformations and deformations à la Gerstenhaber of N-Koszul algebras. J. Noncommut. Geom. 8 (2014), no. 2, 505-539.
On the multi-Koszul property for connected algebras. Doc. Math. 18 (2013), 1301-1347.
Representations of super Yang-Mills algebras. Comm. Math. Phys. 320 (2013), no. 3, 783-820.
(jt. with A. Rey) On a definition of multi-Koszul algebras. J. Algebra 376 (2013), 196-227. [Errata]
The Dixmier map for nilpotent super Lie algebras. Comm. Math. Phys. 313 (2012), no. 2, 295-328.
(jt. with A. Solotar) Hochschild and cyclic homology of Yang-Mills algebras. J. Reine Angew. Math. 665 (2012), 73-156.
(jt. with A. Solotar) Representations of Yang-Mills algebras. Ann. of Math. (2) 173 (2011), no. 2, 1043-1080.
(jt. with M. Richarte) Black holes in Einstein-Gauss-Bonnet gravity with a string cloud background. Phys. Lett. B 689 (2010), no. 4-5, 192-200.
(jt. with A. Solotar) Derived invariance of Hochschild-Mitchell (co)homology and one-point extensions. J. Algebra 315 (2007), no. 2, 852-873.
(jt. with A. Solotar) Hochschild-Mitchell cohomology and Galois extensions. J. Pure Appl. Algebra 209 (2007), no. 1, 37-55.
(jt. with P. Minces and C. Núñez) Winding strings in AdS3. J. High Energy Phys. 2006, no. 6, 047, 32 pp.
(jt. with M. Ferreyra, A. Peuriot, G. Santiago and V. Slezak) Espectroscopía de absorción y optoacústica pulsada del NO2-N2 en 532 nm. Anales AFA 16 (2005), no. 1, 63-65 [Spanish].
Renormalization in Quantum Field Theory (after R. Borcherds). Astérisque No. 412 (2019), xvi+188. [Preprint].
Teoría de representaciones y homología de álgebras de Yang-Mills: Un punto de vista algebraico sobre algunos aspectos de la teoría de gauge. Editorial Académica Española, (2012), 196 p. ISBN 978-3-8484-7496-7 [a published version of my PhD thesis, Spanish].
Une application de la directrice et du foyer dans le tir oblique (2025).
(With S. Friedli) Algèbre linéaire (2025).
Lectures on basic homological algebra, with exercises (2020).
Basics on homotopy theory (2020).
Basic notions of calculus (2017).
(With M. Piñeros Rodríguez) Productive failure for Topology I - MATH-220 (2025).
(With S. Bréchet, S. Deparis, C. Hébert, K. Hess, D. Strütt, M. Piñeros Rodríguez and R. Tormey) Targeting self-efficacy in first year courses. A cookbook (2024).