- Imma Gálvez-Carrillo, Leandro Lombardi, Andrew Tonks: "An A-infinity operad in spineless cacti". Mediterranean Journal of Mathematics (2015), 12(4), 1215-1226. [online] [arxiv] [Newton Institute Preprints]
- Imma Gálvez-Carrillo, Víctor Mañosa: "Periodic orbits of planar integrable birational maps". Proceedings of the International Workshop on Nonlinear Maps and their Applications, López-Ruiz, R., Fournier-Prunaret, D., Nishio, Y., Grácio, C. (Eds.) Springer Proceedings in Mathematics and Statistics, Vol 112, 24 pp, ISBN 978-3-319-12327-1 to appear.. [book] [upccommons]
- Imma Gálvez-Carrillo, Joachim Kock, Andrew Tonks: "Groupoids and Faà di Bruno formulae for Green functions in bialgebras of trees". Advances in Mathematics (2014), 254, 79–117. [online] [arxiv].
- Imma Gálvez-Carrillo, Sarah Whitehouse: "Central operations and K-theory". Proceedings of the Edinburgh Mathematical Society, 57(03) (2014), 699-711 [online] [arxiv].
- Imma Gálvez-Carrillo, Frank Neumann, Andrew Tonks: "Thomason cohomology of categories". J. Pure Appl. Algebra 217 (2013), no. 11, 2163–2179. [online] [arxiv].
- Imma Gálvez-Carrillo, Frank Neumann, Andrew Tonks: "André spectral sequences for Baues–Wirsching cohomology of categories". J. Pure Appl. Algebra 216 (2012), no. 11, 2549–2561. [online].
- Imma Gálvez-Carrillo, Andrew Tonks, Bruno Vallette: "Homotopy Batalin-Vilkovisky algebras". J. Noncommut. Geom. 6 (2012), no. 3, 539–602. [online]. [arxiv].
- Imma Gálvez, Vassily Gorbounov, Andrew Tonks: "Homotopy Gerstenhaber structures on vertex algebras". Appl. Categ. Structures, 18(1):1–15, 2010. [online].
- Imma Gálvez, Sarah Whitehouse: "Infinite sums of Adams operations and cobordism". Mathematische Zeitschrift Volume 251, Number 3, 475-489, DOI: 10.1007/s00209-005-0816-7 [online].
- Imma Gálvez, Andrew Tonks: "Differential operators and the Witten genus for projective spaces and Milnor manifolds." Math. Proc. Cambridge Philos. Soc., 135(1):123–131, 2003. [online].
Imma Gálvez Carrillo
Maria Immaculada (Imma) Gálvez Carrillo
Departament de Matemàtiques
Secció ESEIAAT-FOOT
ESEIAAT (formerly EET and ESTSEIAT)
Universitat Politècnica de Catalunya
Edifici TR1-Palau d'Indústries-Carrer Colom,1
08222 Terrassa
Spain
Tel: +34 937398012
Fax: +34 937398325
Barcelona Graduate School of Mathematics
Escola Superior d'Enginyeries Industrials, Aeroespacial i Audiovisual de Terrassa (ESEIAAT)
Facultat d'Òptica i Optometria de Terrassa (FOOT)
Facultat de Matemàtiques i Estadística (FME)
Recerca
Grups i projectes actuals
actualitzat: 02/2016
Organitzadora del:
Seminari de Geometria Algebraica UB-UPC
Geometria de varietats i aplicacions 2014-SGR-634
MTM2013-42178-P Homotopía Estructurada
GTAB Grup de Topologia Algebraica de Barcelona 2009-SGR-119
Projectes recents
MTM2010-20692. Análisis local en grupos y espacios topológicos
Grup de Recerca UPC EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
MTM2012-38122-C03-01, Geometría algebraica, simpléctica, aritmética y aplicaciones
MTM2010-15831 Homotopía de orden superior en álgebra y geometría
Publicacions
actualitzat: 02/2016Prepublicacions
updated: 02/2016- Imma Gálvez-Carrillo, Joachim Kock, Andrew Tonks: "Decomposition spaces, incidence algebras and Möbius inversion III: the decomposition space of Möbius intervals". [arxiv].
- Imma Gálvez-Carrillo, Joachim Kock, Andrew Tonks: "Decomposition spaces, incidence algebras and Möbius inversion II: completeness, length filtration, and finiteness". [arxiv].
- Imma Gálvez-Carrillo, Joachim Kock, Andrew Tonks: "Decomposition spaces, incidence algebras and Möbius inversion I: basic theory". [arxiv].
- Imma Gálvez-Carrillo, Joachim Kock, Andrew Tonks: "Decomposition spaces, incidence algebras and Möbius inversion". (omnibus preliminary version) [arxiv].
- Imma Gálvez-Carrillo, Vassily Gorbounov, Zain Shaikh, Andrew Tonks: "The Berkovits Complex and Semi-free Extensions of Koszul Algebras ". to appear in Annales Scientifiques de la Faculté des Sciences de Toulouse [http://afst.cedram.org]
Alguns treballs recents en progrés
updated: 10/2014- Imma Gálvez-Carrillo, Ralph Kaufmann, Andrew Tonks: "Three Hopf algebras and their common simplicial and categorical background".
- Natàlia Castellana, Imma Gálvez-Carrillo, Andrew Tonks: "Artin theorem for fusion systems".
- Carles Casacuberta, Imma Gálvez-Carrillo: "Cohomological localization towers".
Estudiants
updated: 10/2014- Leandro Lombardi (Universidad de Buenos Aires), codirigit amb Marco Farinati (UBA), defensa de tesi 31/03/2014, ara becari postdoctoral CONICET a l' Instituto de Cálculo, Facultad de Ciencias Exactas y Naturales, UBA.
Algunes xerrades recents
actualitzat: 02/2016- "Three Hopf algebras and their simplicial and operadic background" [ pdf] British Topology Meeting, September 2015
- "Incidence algebras with Moebius inversion from decomposition spaces" [ pdf] Transpennine Topology Triangle 96, Leicester, June, 2015
- "Decomposition spaces for homotopy algebraic combinatorics" [ pdf] EMS-SCM Joint Meeting, Barcelona, May 2015
- "Decomposition spaces and incidence (co)algebras" [ pdf] Homological bonds between commutative algebra and representation theory, IMUB, Barcelona, February 2015, Programa Interactions between Representation Theory, Algebraic Topology and Commutative Algebra (IRTATCA), CRM.
- "Some bialgebras related to quantum field theory from a simplicial point of view" [ pdf] IMI-BAS, Algebraic Methods in Quantum Field Theory, Mathematical Days in Sofia, July 2014
- "Biálgebras desde dos puntos de vista simpliciales" [ pdf] IE-MATH GR, Universidad de Granada, Métodos Categóricos y Homotópicos en Álgebra, Geometría y Topología, June 2014
- "An operadic view of Goncharov's bialgebra of iterated integrals" [ pdf] UAM-ICMAT, Algebra and Combinatorics Seminar, November 2013
- "Higher homotopy structures in the spineless cacti operad" [ pdf] Glasgow Geometry and Topology Seminar, March 2013
- "Higher homotopy structures in the spineless cacti operad" Leicester Pure Mathematics Seminar Series, November 2012
- "An A-infinity structure on the cactus operad" Higher Homotopy na Coruña, October 2012
- "Central Cohomology Operations and K-theory" [ pdf] Higher Homotopy in Barcelona, March 2012
- "Faà di Bruno formulae for Green Functions and Cardinality from Groupoids"
[ pdf]
Seminari GTAB, Oberseminar Topologie Münster, January 2012. - "Groupoids, and Faà di Bruno formulae for Green functions"
[ pdf]
Seminari GTAB, UAB-CRM Barcelona, November 2011. - "Groupoids and Faà di Bruno formulae for Green functions"
[ pdf]
Physical applications of non-commutative Geometry ( by Fedele Lizzi), FME, UPC, Barcelona, September 2011 - "Generalized syzygies for commutative Koszul algebras"
[ pdf]
Categorical algebra, homotopy theory and applications, CSASC 2011, Krems an der Donau, September 2011". - "Grupoides y fórmulas de Faà di Bruno para funciones de Green"
[ pdf]
"Higher Homotopy in Seville, October 2011". - "Koszul Duality and Cohomology: Generalized
Syzygies for Commutative Koszul Algebrass"
[ pdf]
Working seminar of algebra and combinatorics seminar, UAB-CRM, May 2011".
Alguns pòsters recents
actualitzat: 06/2013- "An A-infinity operad in spineless cacti "
[ pdf]
"Higher Structure 2013: Operads and Deformation Theory", Grothendieck-Teichmüller Groups, Deformation and Operads Programme, Newton Institute for the Mathematical Sciences, Cambridge- "An A-infinity operad in spineless cacti " [ pdf]
"XIX Encuentro de Topología", Universidade da Coruña - "An A-infinity operad in spineless cacti " [ pdf]
Cursos avançats
actualitzat: 10/2014- Imma Gálvez: Differential geometry from a simplicial point of view. [ ] (STORM-London Metropolitan University, Londres, Part I: 19-23 d'agost de 2013, Part II: 18-22 d'agost de 2014 ).
- Imma Gálvez, Andrew Tonks, Leandro Lombardi: Álgebras de vértices, opéradas y complejo de De Rham quiral. [ pdf] (UBA-Buenos Aires-2009-UB-Barcelona-2010).
Activitats organitzades
actualitzat: 02/2016- Seminari de Geometria Algebraica de Barcelona (UB-UPC) (des de febrer de 2015)
- Barcelona Topology Workshop 2014, Torre Vila-Puig, UAB, Bellaterra (24-25 d'octubre 2014)
- Homotopical Algebra Summer Days, IMUB, Barcelona (14-15 de juliol 2014)
- Métodos Homotópicos en Álgebra, Geometría y Topología 2013, Facultat de Matemàtiques i Estadística, UPC, Barcelona (31 de maig-1 de juny de 2013)
- Barcelona Topology Workshop 2012, Centre de Recerca Matemàtica, Bellaterra (30 de novembre-1 de desembre de 2012)
- Homotopical Algebra Summer Day, IMUB, Barcelona (13 de juliol de 2012)
- Higher Homotopy in Barcelona, IMUB, Barcelona (24 de març de 2012)
- Topological Quantum Field Theories, IMUB, Barcelona (2 de desembre de 2011)
- Higher Homotopy in London, STORM, London Metropolitan University, Londres (3-4 de febrer de 2011)
- Barcelona Topology Workshop 2010, Torroja de Priorat (11-12 de desembre de 2010)