From January 2018 I am at the University of Barcelona!
Research Interests:
Algebraic Topology and Geometry // Topology of algebraic varieties, singular spaces, complex manifolds, multiplicative structures in homotopical algebra, cohomological operations, operads, rational and padic homotopy theory, formality, intersection cohomology, mixed Hodge theory.
Preprints
• Weight decompositions of Thom spaces of vector bundles in rational homotopy theory (with Urtzi Buijs and Federico Cantero)
arXiv:1610.02917 [math.AT] 2017
• Mixed Hodge structures and formality of symmetric monoidal functors
(with Geoffroy Horel)
arXiv:1703.06816 [math.AT] 2017
Publications
• Rational Homotopy and IntersectionFormality of Complex Algebraic Varieties
(with David Chataur)
Rev. Mat. Complut., to appear.
[ Arxiv ]
• Sullivan minimal models of operad algebras
(with Agustí Roig)
Publ. Mat., to appear.
[ Arxiv ]
• Derived Ainfinity algebras and their homotopies
(with Daniela Egas Santander, Muriel Livernet and Sarah Whitehouse)
Topology and its Applications (special issue), to appear.
[ Arxiv ]
• Rational homotopy of complex projective varieties with normal isolated singularities
(with David Chataur)
Forum Mathematicum
29 (2017), no.1, 4157
[ Arxiv ]
[ Journal ]
• Homotopy theory of mixed Hodge complexes
(with Francisco Guillén)
Tohoku Mathematical Journal
68 (2016), no.3, 349375
[ Arxiv ]
[ Journal ]
• Cofibrant models of diagrams: mixed Hodge structures in rational homotopy
Transactions of the American Mathematical Society
367 (2015), no.8, 59355970
[ Arxiv ]
[ Journal ]
• Weight filtration on the cohomology of complex analytic spaces (with Francisco Guillén)
Journal of Singularities 8 (2014), 8399
[ Arxiv ] [ Journal ]
• E1formality of complex algebraic varieties
(with Francisco Guillén)
Algebraic & Geometric Topology 14 (2014), no.5, 30493079
[ Arxiv ]
[ Journal ]
• Classification of isometries of spaces of constant curvature and invariant subspaces
Linear Algebra and Its Applications 450 (2014), 250279 [ Arxiv ] [ Journal ]
Misc
• A short course on the interactions of rational homotopy theory and complex (algebraic) geometry.
[ pdf ]
• Notes on the weight filtration: some examples
[ pdf ]
• Homotopical aspects of mixed Hodge theory,
PhD Thesis. Universitat de Barcelona (2012). [ pdf ]
•
Spectral sequences and models.
Arbeitsgemeinschaft: Rational homotopy theory in mathematics and physics.
Oberwolfach Reports 8:2 (2011),
10121015. [ pdf ] [ Journal ]
CoAuthors
Urtzi Buijs,
Federico Cantero,
David Chataur,
Daniela Egas Santander,
Francisco Guillén,
Geoffroy Horel,
Muriel Livernet,
Agustí Roig,
Sarah Whitehouse.
Past events that I coorganized
•
Workshop on infinityoperads and applications  University of Osnabrück  1214 July 2017
• Workshop
Women in Homotopy Theory and Algebraic Geometry  Berlin 
1315 September 2016

MathSciNet

Arxiv

Google Scholar

Orcid

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