Ju

Joana Cirici

Fachbereich Mathematik und Informatik
Universität Münster
Einsteinstraße 62
48149 Münster
Germany

e-mail:



Ju

At Stoney Squaw Mountain, Banff, Canada - April 2016


From January 2017 I am at the University of Münster!

I am a Principal Investigator of the project Mixed Hodge structures in homotopy theory (SPP 1786 - German Research Foundation). Before coming to Münster I was a postdoc at Freie Universität Berlin. I did my PhD at the University of Barcelona (July 2012).

Research Interests: Algebraic Topology and Geometry // Topology of algebraic varieties and singular spaces, multiplicative structures in homotopical algebra, cohomological operations, operads, rational and p-adic homotopy theory, motivic 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

• Sullivan minimal models of operad algebras (with Agustí Roig)
   arXiv:1612.03862 [math.AT] 2016

• Mixed Hodge structures on the intersection homotopy type of complex varieties with isolated singularities (with David Chataur)
   arXiv:1603.09125 [math.AT] 2016


Publications

• Derived A-infinity 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, 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 ]


Co-Authors

Urtzi Buijs, Federico Cantero, David Chataur, Daniela Egas Santander, Francisco Guillén, Geoffroy Horel, Muriel Livernet, Agustí Roig, Sarah Whitehouse.


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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