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

• Higher Homotopical Structures
• Operads
• Algebraic Topology
• Category Theory
• Invariants of Manifolds

• 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.