Javier José Gutiérrez Marín

Javier José Gutiérrez Marín

Associate professor

ORCID: 0000-0002-1185-666X
Researcher ID: F-9363-2016
Knowledge area: Geometria i Topologia

Grup de Recerca en Geometria i Topologia

Contact Information
Department of Mathematics and Computer Science
Departament de Matemàtiques i Informàtica, Facultat de Matemàtiques i Informàtica, Gran Via de les Corts Catalanes 585
934021658
javier.gutierrez(a)ub.edu

My profile

Profesor titular en la Universitat de Barcelona (2021-actualidad). Investigador del programa Ramón y Cajal en la Universitat de Barcelona (2016-2021). Investigador postdoctoral en Radboud Universiteit ... + info

More Information: Página personal (http://www.ub.edu/topologia/gutierrez/)

Academic training

Licenciado en Matemáticas . Universidad de La Rioja . 30/07/1998 . (Diploma / Degree / Activities)
Doctor en Matemàtiques . Universitat de Barcelona . 10/09/2004 . (Ph.D.)
Diploma d'Estudis Avançats en Geometria i Topologia . Universitat Autònoma de Barcelona . 30/07/2001 . (Specialized Training)

Academic Profile

Geometry and topology
Master in advanced mathematics

Imparted Teaching (last 10 years)

Topologia i Geometria Global de Superfícies (Bachelor's degree) - Matemáticas - Universidad de Barcelona.
Geometria i Topologia de Varietats (University Master's Degree) - Matemàtica Avançada - Universidad de Barcelona.
Geometria Lineal (Bachelor's degree) - Matemáticas - Universidad de Barcelona.

Research interests

Abstract homotopy theory
Stable homotopy theory
Localizations in model categories and preservation of algebraic structures
Higher categories and higher operads
Reflective subcategories of triangulated categories

Participation in Projects

Construcciones universales en homotopía estable e inestable . 2002 - 2005 . Ref.BFM2001-2031 . Comisión Interministerial de Ciencia y Tecnología (CICYT) . PI: Carles Casacuberta Verges
Contracte del Programa Ramon y Cajal . 2016 - 2021 . Ref.RYC-2014-15328 . Ministerio de Economia y Competitividad . PI: Carles Casacuberta Vergés; Javier José Gutiérrez Marín
Topología algebraica y de baja dimensión . 2016 - 2020 . Ref.MTM2016-76453-C2-2-P . Ministerio de Economia y Competitividad . PI: Carles Casacuberta Vergés; Javier José Gutiérrez Marín
Localizaciones en categorías de modelos simpliciales . 2004 - 2007 . Ref.MTM2004-03629 . Ministerio de Ciencia y Tecnología . PI: Carles Casacuberta Verges
Estructuras homotópicas de nivel superior . 2007 - 2010 . Ref.MTM2007-63277/ . Ministerio de Educación y Ciencia . PI: Carles Casacuberta Verges
Grup de Recerca en Geometría i Topologia Algebraica . 2009 - 2013 . Ref.2009SGR119 . Agència de Gestió d'Ajuts Universitaris i de Recerca (AGAUR) . PI: Carles Casacuberta Verges
Homotopía de orden superior en álgebra y geometría . 2011 - 2013 . Ref.MTM2010-15831 . Ministerio de Ciencia e Innovación (MICINN) . PI: Carles Casacuberta Verges
Homotopía estructurada . 2014 - 2016 . Ref.MTM2013-42178-P . Ministerio de Economia y Competitividad . PI: Carles Casacuberta Verges
Algebra i Geometria Algebraica (AGA) . 2017 - 2021 . Ref.2017SGR585 . Agència de Gestió d'Ajuts Universitaris i de Recerca (AGAUR) . PI: Rosa Maria Miro Roig

Relevant publications (Journal Publications and Other publications - last 10 years)

Urtzi Buijs; Javier J. Gutiérrez; Aniceto Murillo (2013). Derivations, the Lawrence-Sullivan interval and the Fiorenza-Manetti mapping cone. Mathematische Zeitschrift, 273(3-4), pp. 981 - 997 . https://doi.org/10.1007/s00209-012-1040-x . ISSN: 0025-5874
Carles Casacuberta; Javier J. Gutiérrez; Jiri Rosický (2014). Are all localizing subcategories of stable homotopy categories coreflective?. Advances in Mathematics, 252, pp. 158 - 184 . https://doi.org/10.1016/j.aim.2013.10.013 . ISSN: 0001-8708
Carles Casacuberta; Javier J. Gutiérrez; Jiri Rosický (2014). A generalization of Ohkawa's theorem. Compositio Mathematica, 150(5), pp. 893 - 902 . https://doi.org/10.1112/S0010437X13007616 . ISSN: 0010-437X
Dimitri Ara; Moritz Groth; Javier J. Gutiérrez (2015). On autoequivalences of the (∞,1)-category of ∞-operads. Mathematische Zeitschrift, 281(3-4), pp. 807 - 848 . https://doi.org/10.1007/s00209-015-1509-5 . ISSN: 0025-5874
Urtzi Buijs; Javier J. Gutiérrez (2016). Homotopy transfer and rational models for mapping spaces. Journal of Homotopy and Related Structures, 11(2), pp. 309 - 332 . Institutional Repository . ISSN: 2193-8407
Javier J. Gutiérrez; Constanze Roitzheim (2016). Towers and fibered products of model structures. Mediterranean Journal of Mathematics, 13(6), pp. 3863 - 3886 . Institutional Repository . ISSN: 1660-5446
Javier J. Gutiérrez; Constanze Roitzheim (2017). Bousfield localisations along Quillen bifunctors. Applied Categorical Structures, 25(6), pp. 1113 - 1136 . Institutional Repository . ISSN: 0927-2852
Javier J. Gutiérrez; David White (2018). Encoding equivariant commutativity via operads. Algebraic and Geometric Topology, 18(5), pp. 2919 - 2962 . Institutional Repository . ISSN: 1472-2747
Caviglia, G.; Gutiérrez, J.J. (2019). Morita homotopy theory for (∞,1)-categories and ∞-operads. Forum Mathematicum, 31(3), pp. 661 - 684 . Institutional Repository . ISSN: 0933-7741
Caviglia, G; Gutiérrez, J.J. (2020). On Morita weak equivalences of simplicial algebraic theories and operads. Journal of Pure and Applied Algebra, 224(4) . Institutional Repository . ISSN: 0022-4049

Direction of Thesis, Minor Thesis and Research Reports (last 10 years)

Roberto Lara Martín . (2017) . The Seifert-Van Kampen theorem via covering spaces (Degree work) . Universitat de Barcelona.
Marc Adillón Albero . (2018) . Localizaciones de Bousfield para tipos de homotopía truncados (Master's Thesis) . Universitat de Barcelona.
Sergi Justiniano Claramunt . (2018) . Knot theory: On the study of chirality of knots through polynomial invariants (Degree work) . Universitat de Barcelona.
Ángel Prieto de la Cruz . (2019) . The geometrisation conjecture of 3-manifolds (Degree work) . Universitat de Barcelona.
Marçal Ainsa Beltran . (2019) . Teoria d'homologia y teoremes de punt fix (Degree work) . Universitat de Barcelona.
Anna Perea Navarro . (2020) . Grup de trenes i el Teorema d'Alexander (Degree work) . Universitat de Barcelona.
Héctor Cancio Andel . (2020) . Teoria de Donaldson i aplicacions a les varietats topològiques de dimensió 4 (Degree work) . Universitat de Barcelona.
Guillermo Ródenas Alesina . (2020) . Homología persistente de las redes complejas (Degree work) . Universitat de Barcelona.
Eric Vallespí Rodríguez . (2020) . Knots and Seifert surfaces (Degree work) . Universitat de Barcelona.
Josep Esquirol Esteve . (2018) . Steenrod squares in signed simplicial sets (Master's Thesis) . Universitat de Barcelona.

Conferences and Participations in Congresses (last 10 years)

Javier J. Gutiérrez (2016). Towers and fibered products of localized model structures. (Invited conference) . Barcelona Topology Workshop 2016 . Bellaterra . SPAIN
Javier J. Gutiérrez (2016). On models for equivariant infinity-operads. (Invited conference) . Czech, Slovenian, Austrian, Slovak and Catalan Mathematical Societies joint meeting (CSASC 2016) . Barcelona . SPAIN
Javier J. Gutiérrez (2016). On models for equivariant infinity-operads. (Invited conference) . Higher Geometric Structures along the Lower Rhine VII . Leuven . BELGIUM
Javier J. Gutiérrez (2016). . (Participation in scientific/organizer committee) . Métodos Categóricos y Homotópicos en Álgebra, Geometría y Topología . Logroño . SPAIN
Gutiérrez, J. (2017). Introduction to the theory of dendroidal sets. (Invited conference) . Workshop on infinity-operads and applications . Osnabrueck . GERMANY
Javier J. Gutiérrez (2017). Tensor product and model structures for dendroidal sets. (Invited conference) . Workshop on infinity-operads and applications . Osnabrueck . GERMANY
Javier J. Gutiérrez (2017). Autoequivalences of the category of infinity-operads. (Invited conference) . Workshop on infinity-operads and applications . Osnabrueck . GERMANY
Javier J. Gutiérrez (2017). . (Participation in scientific/organizer committee) . Métodos Categóricos y Homotópicos en Álgebra, Geometría y Topología . Málaga . SPAIN
Javier J. Gutiérrez (2018). On N-infinity operads and a conjecture by Blumberg and Hill. (Invited conference) . Workshop on infinity operads . Utrecht . NETHERLANDS
Javier J. Gutiérrez (2018). Postnikov sections of model categories. (Invited conference) . Accessible categories and their connections . Leeds . UNITED KINGDOM
Javier J. Gutiérrez (2018). Morita homotopy theory for (∞,1)-categories and ∞-operads. (Invited conference) . Utrecht Topology Feest 2018 . Utrecht . NETHERLANDS
Javier J. Gutiérrez (2018). Morita homotopy theory for (∞,1)-categories and ∞-operads. (Invited conference) . Combinatorial Categories in Algebra and Topology . Osnabrueck . GERMANY
Javier J. Gutiérrez (2018). . (Participation in scientific/organizer committee) . XXV Encuentro de Topología . Barcelona . SPAIN
Javier J. Gutiérrez (2018). . (Participation in scientific/organizer committee) . Métodos Categóricos y Homotópicos en Álgebra, Geometría y Topología . Almería . SPAIN
Javier J. Gutiérrez (2019). . (Participation in scientific/organizer committee) . Métodos Categóricos y Homotópicos en Álgebra, Geometría y Topología . Santiago de Compostela . SPAIN
Javier J. Gutiérrez (2019). Morita homotopy theory for simplicial operads. (Invited conference) . Geometry and Quantum Theory Conference . NETHERLANDS
Javier J. Gutiérrez (2019). Morita homotopy theory for (∞, 1)-categories and ∞-operads. (Invited conference) . IRTACTA Conference . SPAIN
Javier J. Gutiérrez (2021). . (Participation in scientific/organizer committee) . Métodos Categóricos y Homotópicos en Álgebra, Geometría y Topología . Sevilla . SPAIN
Javier J. Gutiérrez (2021). . (Participation in scientific/organizer committee) . IRP Higher Homotopical Structures . Barcelona . SPAIN
J. J. Gutiérrez (2021). Homotopy theory for operads and algebras. (Invited conference) . Workshop on Operads in Topology . Sevilla . SPAIN