Ju

Joana Cirici

Departament de Matemàtiques i Informàtica
Universitat de Barcelona
Gran Via 585
08007
Barcelona

e-mail:
Phone. +34 934021610


Ju


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 and complex manifolds, singular spaces, multiplicative structures in homotopical algebra, cohomological operations, harmonic theory, mixed Hodge theory, rational and p-adic homotopy theory, operads, formality, intersection cohomology.


☆ ☆ ☆ Upcoming! Workshop: Women in Homotopy Theory and Algebraic Geometry 20-22 March 2019 // Berlin ☆ ☆ ☆


Preprints

• 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

• Mixed Hodge structures and formality of symmetric monoidal functors (with Geoffroy Horel)
   arXiv:1703.06816 [math.AT] 2017


Publications

• Sullivan minimal models of operad algebras (with Agustí Roig)
  Publicacions Matematiques, to appear. [ Arxiv ]

• Rational Homotopy and Intersection-Formality of Complex Algebraic Varieties (with David Chataur)
   Revista Matemática Complutense, First Online: 21 February 2018. [ Arxiv ] [ Journal ]

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

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

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

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

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

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

• Classification of isometries of spaces of constant curvature and invariant subspaces
  Linear Algebra and Its Applications 450 (2014), 250--279 [ 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), 1012--1015. [ pdf ] [ Journal ]



Past events that I co-organized

Workshop on infinity-operads and applications - University of Osnabrück - 12-14 July 2017

• Workshop Women in Homotopy Theory and Algebraic Geometry - Berlin - 13-15 September 2016


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