Research group:
Algebra i Geometria Algebraica (AGA)
Contact Information
Department of Mathematics and Computer Science
Gran Via de les Corts Catalanes 585 +34 93 4021614 ignasi.mundet(a)ub.edu
My profile
Llicenciat en matemàtiques el 1995 a la UB, doctorat en matemàtiquesel 1999 a la UAM. Estades postdoctorals a París i Oxford. ContracteRamón y Cajal del 2001 al 2003 a la UPC. Professor Titular ...
+ info
Llicenciat en matemàtiques el 1995 a la UB, doctorat en matemàtiques el 1999 a la UAM. Estades postdoctorals a París i Oxford. Contracte Ramón y Cajal del 2001 al 2003 a la UPC. Professor Titular a la UB des del 2003. He realitzat nombroses estades d'investigació en universitats de França, Anglaterra, Suïssa, EUA, Alemanya, Xina i altres països. He treballat en teories gauge i problemes de mòduli de fibrats vectorials, fibrats de Higgs i variants, en invariants d'accions Hamiltonianes (Hamiltonian/gauged GW invariants) i més recentment en la teoria de grups finits de transformacions (diferenciables, simplèctics, Hamiltonians, per isometries de mètriques indefinides, etc.). He organitzat nombrosos congressos internacionals i vaig dirigir el 2012 un programa de recerca al CRM (Barcelona) sobre Geometria i Quantització d'Espais de Mòduli. He dirigit 2 tesis doctorals. Sóc autor d'una trentena d'articles- info
Academic training
Llicenciat
. Universitat de Barcelona
. 01/07/1995
. (Diploma / Degree / Activities)Doctorat
. Universidad Autónoma de Madrid
. 01/06/1999
. (Ph.D.)
Participation in Projects
Geometría de las variedades algebraicas, aritméticas y simplécticas
.
2006 - 2009
. Ref.MTM2006-14234-C02-01/
. Ministerio de Educación y Ciencia
. PI: Jose Ignacio Burgos GilGeometria i topologia de les varietats algebraiques
.
2006 - 2009
. Ref.2005 SGR 00557
. Generalitat de Catalunya
. PI: Jaume Amoròs TorrentAcció integrada entre Espanya i Portugal. BOE núm. 135 (04/06/2009)
.
2008 - 2010
. Ref.HP2008-0013
. Ministerio de Ciencia e Innovación (MICINN)
. PI: Ignasi Mundet RieraGrup de Recerca en Geometría i Topologia Algebraica
.
2009 - 2013
. Ref.2009SGR119
. Agència de Gestió d'Ajuts Universitaris i de Recerca (AGAUR)
. PI: Carles Casacuberta VergesGeometría de las variedades algebraicas, aritméticas y simplécticas
.
2010 - 2012
. Ref.MTM2009-14163-C02-01
. Ministerio de Ciencia e Innovación (MICINN)
. PI: Juan Carlos Naranjo del ValAcción Complementaria 'Conference on geometry and quantization of moduli spaces'
.
2011 - 2013
. Ref.MTM2011-14410-E
. Ministerio de Ciencia e Innovación (MICINN)
. PI: Ignasi Mundet i RieraGeometría algebraica, simpléctica y aritmética
.
2013 - 2015
. Ref.MTM2012-38122-C03-02
. Ministerio de Economia y Competitividad
. PI: Martin a. SombraAlgebra i Geometria Algebraica
.
2014 - 2017
. Ref.2014SGR114
. Agència de Gestió d'Ajuts Universitaris i de Recerca (AGAUR)
. PI: Rosa Maria Miro RoigMención de Excelencia Maria de Maetzu al Barcelona Graduate School of Mathematics (BGSMath)
.
2015 - 2019
. Ref.MDM-2014-0445
. Ministerio de Economia y Competitividad
. PI: Marcos Noy SerranoVariedades Algebraicas, Lineales y Diferenciables, Aritmética y Móduli
.
2016 - 2019
. Ref.MTM2015-65361-P
. Ministerio de Economia y Competitividad
. PI: Ignasi Mundet Riera
Relevant publications (Journal Publications and Other publications - last 10 years)
Óscar García-Prada; Peter Gothen; Ignasi Mundet i Riera(2013).
Higgs bundles and surface group representations in the real symplectic group.Journal Of Topology, 6(1), pp. 64 - 118
. https://doi.org/10.1112/jtopol/jts030. ISSN: 1753-8416Ignasi Mundet i Riera; Alexandre Turull(2015).
Boosting an analogue of Jordan's theorem for finite groups.Advances in Mathematics, 272(1), pp. 820 - 836
. https://doi.org/10.1016/j.aim.2014.12.021. ISSN: 0001-8708Ignasi Mundet i Riera(2016).
Finite group actions on $4$-manifolds with nonzero Euler characteristic.Mathematische Zeitschrift, 282, pp. 25 - 42
. https://doi.org/10.1007/s00209-015-1530-8. ISSN: 0025-5874I. Mundet i Riera(2015).
Ghys's conjecture on finite group actions on manifolds.Oberwolfach Reports-OWR, 24/2015
. https://doi.org/10.4171/OWR/2015/24. ISSN: 1660-8933Mundet i Riera, I.(2017).
Non Jordan groups of diffeomorphisms and actions of compact Lie groups on manifolds.Transformation Groups, 22, pp. 487 - 501
. https://doi.org/10.1007/s00031-016-9374-9. ISSN: 1083-4362Ignasi Mundet i Riera(2017).
Finite groups acting symplectically on T^2 x S^2.Transactions of the American Mathematical Society, 369, pp. 4457 - 4483
. Institutional Repository. ISSN: 0002-9947I. Mundet i Riera(2018).
Finite subgroups of Ham and Symp.Mathematische Annalen, 370, pp. 331 - 380
. https://doi.org/10.1007/s00208-017-1566-7. ISSN: 0025-5831Fock, V., Marshakov, A., Schaffhauser, F., Teleman, C., Wentworth, R.(2016).
Geometry and Quantization of Moduli Spaces
. In
Geometry and Quantization of Moduli Spaces
. Birkhauser
. ISBN: 978-3-319-33578-0
.
Direction of Thesis, Minor Thesis and Research Reports (last 10 years)
Andratx Bellmunt Giralt
. (2015)
. Construction of right inverses of the Kirwan map (Ph.D. Thesis)
. Universitat de Barcelona. Carlos Sáez Calvo
. (2014)
. Gromov compactness theorem for pseudoholomorphic curves (Master's Thesis)
. Universitat de Barcelona. Teresa García
. (2015)
. El teorema de rigidesa de Mostow (Master's Thesis)
. Universitat de Barcelona.
Conferences and Participations in Congresses (last 10 years)
Ignasi Mundet i Riera(2013).
On the Cayley and Hitchin-Kobayashi correspondences.
(Invited conference)
.
Conference Pressure metric and Higgs bundles (QGM). Aarhus
. DENMARKIgnasi Mundet i Riera(2014).
The Cayley transform for symplectic Higgs bundles.
(Invited conference)
.
Second GEAR Retreat (University of Maryland). College Park (Maryland)
. UNITED STATESIgnasi Mundet i Riera(2014).
Nonlinear vortices on nearly nodal curves.
(Invited conference)
.
Workshop Gauged Sigma-Models in Two Dimensions (SCGP). Stony Brook
. UNITED STATESMundet, I.(2015).
Ghys's conjecture on finite group actions on manifolds.
(Invited conference)
.
Oberwolfach Workshop 'Cohomology of finite groups: interactions and applications'
.
Summary of the talk published in Oberwolfach Reports, Volume for the year 2015 (OWR, ISSN 1660-8933). Oberwolfach
. GERMANYMundet, I.(2015).
Actions of $p$-groups on vector bundles and applications.
(Invited conference)
.
Barcelona Topology Workshop. Bellaterra
. SPAINMundet, I.(2016).
Parabolic Higgs bundles for real reductive Lie groups.
(Invited conference)
.
Hitchin 70: Celebrating 30 years of Higgs bundles and 15 years of generalized geometry. Madrid
. SPAINMundet, I.(2017).
Hitchin-Kobayashi correspondence for bundles with disconnected structure group.
(Invited conference)
.
Geometry and Physics of Augmented Bundles (a celebration of Steve Bradlow's 60th birthday). Allerton, Illinois
. UNITED STATESMundet, I.(2017).
Finite subgroups of Diff.
(Invited conference)
.
Joint meeting of the Edinburgh Mathematical Society and the Societat Catalana de Matemàtiques. Edinburgh
. UNITED KINGDOMMundet, I.(2017).
Finite subgroups of Diff.
(Invited conference)
.
Joint meeting of the Edinburgh Mathematical Society and the Societat Catalana de Matemàtiques. Edinburgh
. UNITED KINGDOM