Preprints

• An operadic proof of the BTT Theorem (with Geoffroy Horel)
   Preprint arXiv:2410.08786 [math.AT].

• Formality of hypercommutative algebras of Kähler and Calabi-Yau manifolds (with Geoffroy Horel)
   Preprint arXiv:2302.08492 [math.AT].

Publications

• Homotopy BV-algebras in Hermitian geometry (with Scott O. Wilson)
  Journal of Geometry and Physics, Vol 204, 105275 (2024).
   [ Arxiv ] [ Journal ]

• Weight decompositions on algebraic models for mapping spaces and homotopy automorphisms (with Bashar Saleh)
  Mediterranean Journal of Mathematics, Vol. 21, art. nr. 156, (2024).
   [ Arxiv ] [ Journal ]

• Cup and Massey products on the cohomology of compact almost complex manifolds
  Rivista di Matematica della Università di Parma, Vol 13, n.2 (2022).
   [ Arxiv ] [ Journal ]

• Étale cohomology, purity and formality with torsion coefficients (with Geoffroy Horel)
  Journal of Topology, (2022).
   [ Arxiv ] [ Journal ] [ Correction ]

• Hodge-de Rham numbers of almost complex 4-manifolds (with Scott O. Wilson)
  Expositiones Mathematicae, (2022).
   [ Arxiv ] [ Journal (open access) ]

• Filtered A-infinity structures in complex geometry (with Anna Sopena-Gilboy)
  Proceedings of the American Mathematical Society 150 (2022), no. 9, 4067-4082.
   [ Arxiv ] [ Journal ]

• Sheaves of E-infinity algebras and applications to algebraic varieties and singular spaces (with David Chataur)
  Transactions of the American Mathematical Society 375, no. 02, 925-960 (2022).
   [ Arxiv ] [ Journal ]

• Dolbeault cohomology for almost complex manifolds (with Scott O. Wilson)
   Advances in Mathematics. Volume 391 (2021).
   [ Arxiv ] [ Journal (open access) ]

• Characterization of quantum entanglement via a hypercube of Segre embeddings (with Jordi Salvadó and Josep Taron)
  Quantum Information Processing 20, no. 7, Paper No. 252, 28 pp (2021).
   [Arxiv] [ Journal (open access) ]

• Model category structures and spectral sequences (with Daniela Egas Santander, Muriel Livernet and Sarah Whitehouse)
   Proceedings A of the Royal Society of Edinburgh, 150(6), 2815--2848 (2020).
  [ Arxiv ] [ Journal ]

• Mixed Hodge structures and formality of symmetric monoidal functors (with Geoffroy Horel)
  Annales Scientifiques de l’École Normale Supérieure, 53(4):1071--1104 (2020).
  [ Arxiv ] [ Journal ]

• Almost Hermitian Identities (with Scott O. Wilson)
  Mathematics, Special issue: Inequalities in Geometry and Applications, 8 1357 (2020) .
  [ Arxiv ] [ Journal (open access) ]

• Topological and geometric aspects of almost Kähler manifolds via harmonic theory (with Scott O. Wilson)
  Selecta Mathematica 26, 35 (2020).
  [ Arxiv ] [ Journal ]

• Weight decompositions of Thom spaces of vector bundles in rational homotopy theory (with Urtzi Buijs and Federico Cantero)
   Journal of Homotopy and Related Structures, 15, 1--26 (2020).
  [Arxiv] [Journal]

• Sullivan minimal models of operad algebras (with Agustí Roig)
  Publicacions Matemàtiques, 63, no 1, 125--154 (2019).
  [ Arxiv ] [ Journal (open access) ]

• Rational Homotopy and Intersection-Formality of Complex Algebraic Varieties (with David Chataur)
   Revista Matemática Complutense, 31, no 2, 479--524 (2018).
  [ Arxiv ] [ Journal ]

• Derived A-infinity algebras and their homotopies (with Daniela Egas Santander, Muriel Livernet and Sarah Whitehouse)
  Topology and its Applications, 235, 214--268 (2018).
  [ Arxiv ] [ Journal ]

• Rational homotopy of complex projective varieties with normal isolated singularities (with David Chataur)
  Forum Mathematicum 29, no.1, 41--57 (2017).
  [ Arxiv ] [ Journal (open access) ]

• Homotopy theory of mixed Hodge complexes (with Francisco Guillén)
  Tohoku Mathematical Journal 68, no.3, 349--375 (2016).
  [ Arxiv ] [ Journal]

• Cofibrant models of diagrams: mixed Hodge structures in rational homotopy
  Transactions of the American Mathematical Society 367, no.8, 5935--5970 (2015).
  [ Arxiv ] [ Journal (open access) ]

• Weight filtration on the cohomology of complex analytic spaces (with Francisco Guillén)
  Journal of Singularities 8 , 83--99 (2014).
  [ Arxiv ] [ Journal (open access)]

• E1-formality of complex algebraic varieties (with Francisco Guillén)
   Algebraic & Geometric Topology 14, no.5, 3049--3079 (2014).
  [ Arxiv ] [ Journal (open access) ]

• Classification of isometries of spaces of constant curvature and invariant subspaces
  Linear Algebra and Its Applications 450, 250--279 (2014).
  [ Arxiv ] [ Journal (open access) ]

Coauthors

Urtzi Buijs, Federico Cantero, David Chataur, Daniela Egas Santander, Francisco Guillén, Geoffroy Horel, Muriel Livernet, Agustí Roig, Bashar Saleh, Jordi Salvadó, Anna Sopena-Gilboy, Josep Taron, Sarah Whitehouse, Scott Wilson.

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