Since January 2018 I am at the University of Barcelona! I am a member of the
Research Group in Algebraic Topology.
Previously, I was a postdoctoral researcher at the
University of Münster
and at
Freie Universität Berlin.
I obtained my PhD in 2012 at the University of Barcelona.
Research Interests:
Algebraic Topology and Geometry // Topology of algebraic varieties, (almost) complex manifolds and singular spaces; Multiplicative structures in homotopical algebra and cohomological operations; (mixed) Hodge theory; rational and padic homotopy theory, operads and formality; intersection cohomology.
☆ ☆ ☆ Upcoming! Workshop:
Women in Homotopy Theory and Algebraic Geometry 2022 March 2019 // Berlin
☆ ☆ ☆
Preprints
•
Sheaves of Einfinity algebras and applications to algebraic varieties and singular spaces
(with David Chataur)
arXiv:1811.08642 [math.AT] 2018
•
Topological and geometric aspects of almost Kähler manifolds via harmonic theory
(with Scott O. Wilson)
arXiv:1809.01414 [math.DG] 2018
•
Dolbeault cohomology for almost complex manifolds
(with Scott O. Wilson)
arXiv:1809.01416 [math.DG] 2018
•
Étale cohomology, purity and formality with torsion coefficients
(with Geoffroy Horel)
arXiv:1806.03006 [math.AT] 2018
• Model category structures and spectral sequences
(with Daniela Egas Santander,
Muriel Livernet
and
Sarah Whitehouse)
arXiv:1805.00374 [math.AT] 2018
• Weight decompositions of Thom spaces of vector bundles in rational homotopy theory
(with Urtzi Buijs and
Federico Cantero)
arXiv:1610.02917 [math.AT] 2017
Publications
• Mixed Hodge structures and formality of symmetric monoidal functors
(with Geoffroy Horel)
Annales Scientifiques de l’École Normale Supérieure, to appear.
[ Arxiv ]
• Sullivan minimal models of operad algebras
(with Agustí Roig)
Publicacions Matemàtiques, 63 (2019), no 1, 125154.
[ Arxiv ] [ Journal ]
• Rational Homotopy and IntersectionFormality of Complex Algebraic Varieties
(with David Chataur)
Revista Matemática Complutense, 31 (2018), no 2, 479524.
[ Arxiv ]
[ Journal ]
• Derived Ainfinity algebras and their homotopies
(with Daniela Egas Santander,
Muriel Livernet
and
Sarah Whitehouse)
Topology and its Applications, 235 (2018), 214268.
[ Arxiv ]
[ Journal ]
• 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 ]
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

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