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Position Associate professor
Research interests Topology
Group Algebra Geometry Number Theory And Topology
Galvez, Imma

Associate Professor, Departament de Matemàtiques, Universitat Politècnica de Catalunya.
Lecturer at the Departament de Matemàtiques, Universitat Politècnica de Catalunya (Escola Superior d’Enginyeries Aeronàutica, Industrial i Audiovisual de Terrasa-Facultat d’Òptica i Optometria de Terrassa-Facultat de Matemàtiques i Estadística).
Worked previously at Universitat Autònoma de Barcelona, London Metropolitan University, University of Sheffield, Université de Lille 1 (both with European commission grant HPRN-CT-1999-00119).
PhD Thesis 2001 Universitat Autònoma de Barcelona.
Grant 1999-BEAI-200228 Generalitat de Catalunya (Predoctoral: Visita Buenos Aires ITBA-UBA)
Graduation Award 1993 Universitat Autònoma de Barcelona.
Coordinator of the RET (Spanish Topology Network) 2020
Coorganiser of the CRM IRP Programme Higher Homotopical Structures 2021

Other Research Interests
  • Higher Homotopical Structures
  • Operads
  • Algebraic Topology
  • Category Theory
  • Invariants of Manifolds
Selected publications
  • Imma Gálvez-Carrillo, Ralph M. Kaufmann, Andrew Tonks. Three Hopf algebras from number theory,
    physics & topology, and their common background I: operadic & simplicial aspects; II: general categorical formulation. Commun. Number Theory Phys. (2020) published in 2 parts: 14(1):1-90; 14(1):91-169.
  • Imma Gálvez-Carrillo, Joachim Kock, and Andrew Tonks. Decomposition spaces, incidence algebras and Möbius inversion I: Basic theory; II: Completeness, length filtration, and finiteness; III: The decomposition space of Möbius intervals. Adv. Math. (2018) published in 3 parts: 331:952–1015; 333:1242–1292; 334:544–584.
  • Imma Gálvez-Carrillo, Joachim Kock, and Andrew Tonks. Homotopy linear algebra. Proc. Roy. Soc. Edinburgh Sect. A (2018) 148(2):293–325.
  • Imma Gálvez-Carrillo, Andrew Tonks, and Bruno Vallette. Homotopy Batalin-Vilkovisky algebras. J. Noncommut. Geom. (2012) 6(3):539–602.