Nuria Fagella Rabionet
Catedrática de Universidad
Área de conocimiento: Matemática Aplicada
Grupos de Innovación Docente:
Innovació Docent en Matemàtiques i Informàtica
Actividades anteriores
Professora Titular d'Universitat.
Universitat de Barcelona.
05/1998 - 02/2020
Postdoctoral Fellow.
Mathematical Sciences Research Institute (MSRI).
01/1995 - 07/1995
Becaria Reincorporación.
Universidad Autónoma de Barcelona.
07/1995 - 05/1997
Teaching/research assistant.
Boston University.
01/1991 - 12/1994
Libros y capítulos de libro
Branner, B.; Fagella, N. (2014).
Quasiconformal surgery in holomorphic dynamics
. En
Series: Cambridge Studies in Advanced Matehmatics
. Volumen. 141
. Cambridge University Press (CUP)
. ISBN: 9781107042919
. Book web page (http://www.cambridge.org/es/academic/subjects/mathematics/real-and-complex-analysis/quasiconformal-surgery-holomorphic-dynamics)
Fagella, N.; Henriksen, C. (2009).
The Teichmuller space of an entire function
. En
Complex Dynamics: Families and Friends
. (pp. 297 - 330)
. AK PETERS LTD
. ISBN: 978-1-56881-450-6
.
Dominguez, P.; Fagella, N. (2008).
Residual Julia sets of rational and transcendental functions
. En
Transcendental Dynamics and Complex Analysis. LMS Lecture Note Series.
. Volumen. 348
. (pp. 138 - 164)
. Cambridge University Press (CUP)
. ISBN: 978-0-521-68372-2
.
Fagella, N; Jarque, X. (2007).
Iteración compleja y Fractales
. En
Colección: Enseñar y saber en el siglo XXI
. Volumen. 8
. (pp. 1 - 179)
. Vicens Vives
. ISBN: 978-84-316-0966-5
.
Fagella, N., Henriksen, C. (2006).
Arnold Disks and the moduli of Herman rings of the complex standard family
. En
Dynamics on the Riemann sphere. A Bodil Branner Festschrift.
. (pp. 161 - 182)
. EMS Publishing House
. ISBN: 3-03719-011-6
.
Fagella, N. (1998).
Surgery on the limbs of the Mandelbrot set
. En
Progress in Complex Dynamics, Pitman Research Notes
. Volumen. 387
. (pp. 139 - 158)
. Longman
. ISBN: 0-582-32388-6
.
Formación académica
Licenciatura en Ciencias Matemáticas
. Universitat Autònoma de Barcelona
. 07/1990
. (Diplomatura / Licenciatura / Grado)
Ph.D. in Mathematics
. Boston University (Boston, EEUU)
. 01/1995
. (Doctorado)
Masters of Science
. Boston University (Boston, MA)
. 06/1991
. (Máster Oficial)
Organización de actividades de I+D
(Online) Conference/School: Topics in complex dynamics 2021. Transcendental dynamics and beyond. Universitat de Barcelona/CRM. April 2021
. (Internacional)
. Five short courses, invited and contoibuted lectures. http://www.gsd.uab.cat/tcd2021/
. 2021
Advancing Bridges in Complex Dynamics. Conference at CIRM (Luminy), 20-24 Sep 2021. https://www.i2m.univ-amu.fr/events/advancing-bridges-in-complex-dynamics/
. (Internacional)
. Conference at CIRM (Luminy), 20-24 Sep 2021. https://www.i2m.univ-amu.fr/events/advancing-bridges-in-complex-dynamics/
. 2021
Holomorphic Days workshop. Castelldefels, 12-13 July, 2021
. (International)
. Holomorphic Dynamics Workshop. Castelldefels, 12-13 July, 2021. http://www.maia.ub.es/holodyn/index.php?id=holomorphic-2021
. 2021
Intensive Research Program in Low Dimensional Dynamical Systems. February- April 2020. Interrupted and continued in April 2021. Centre de Recerca Matemàtica, Bellaterra, Barcelona
. (Internacional)
. 3 short courses of 4.5 hores, together with participants' contributions. 25 participants. 25 participants. Universitat de Barcelona. http://www.crm.cat/irp-low-dimensional-dynamical-systems-and-applications/
. 2020
Conference/School: Topics in complex dynamics 2019. From combinatorics to Transcendental Dynamics. Universitat de Barcelona. March 2019
. (Internacional)
. Four short courses, invited and contoibuted lectures. 71 participants. http://www.gsd.uab.cat/tcd2019/
. 2019
Mimisymposium in transcendental dynamics. Dynamical Systems and Equations. Krakow, Poland. September 2019
. (Internacional)
. Invited talks
. 2019
Topics in complex dynamics
. (Internacional)
. School with 3 short courses of 4.5 hores, together with participants' contributions. 45 participants. 25 participants. Universitat de Barcelona. http://www.gsd.uab.cat/tcd2017/
. 2017
Summer school: Topics in complex dynamics
. (Internacional)
. 3 short courses of 4.5 hores, together with participants' contributions. 25 participants. 25 participants. Universitat de Barcelona. http://www.gsd.uab.cat/tcd2015/
. 2015
AMS-EMS-PMS meeting. Porto, June 2015. Special session in Holomorphic Dynamics
. (Internacional)
. 40 participants. Invited and contributed talks
. 2015
Ergodic Theory and Holomorphic Dynamics. ESI, Vienna, Austria, Sep 28-Oct 2, 2015
. (Internacional)
. Invited talks. 40 participants
. 2015
New Perspective in Discrete Dynamical Systems
. International conference in Tossa de mar, Girona
. 2014
Topological and Combinatorial Problems in one-dimensional complex dynamics, CRM (centro di Ricerca Ennio di Giorgio), Pisa (Italy)
. (Internacional)
. International conference (1 week)
. 2013
Summer school: Topics in complex dynamics
. (Internacional)
. 3 short courses of 4.5 hores, together with participants' contributions. 25 participants. 25 participants. Universitat de Barcelona. http://www.gsd.uab.cat/tcd2011/
. 2013
International conference in difference equations and applications ICDEA 2012. Special session in complex dynamics. Barcelona, 22-27 July 2012
. (Internacional)
. Special session inside a large conference
. 2012
Spring School: topics in complex dynamics
. (Internacional)
. 3 short courses of 4.5 hores, together with participants' contributions. 25 participants. 25 participants. Universitat de Barcelona. http://www.gsd.uab.cat/tcd2011/
. 2011
15th general meeting of EWM (European Women in Mathematics), CRM (Barcelona)
. (Internacional)
. International conference with short courses and contributions, also including the talks of the EMS-lecturer 2011
. 2011
Fall School: topics in complex dynamics
. (Internacional)
. 3 short courses of 4.5 hores, together with participants' contributions. 25 participants. 25 participants. Universitat de Barcelona. http://www.imub.ub.es/tcd2009
. 2009
Dynamical Systems and Topology
. (Internacional)
. International confernce with 90 participants. Tossa de mar (Girona). Funded by UE, NSF, MEC, UB, IMUB, Consolider i-Math
. 2008
Fall School: topics in complex dynamics
. (Internacional)
. 3 short courses of 4.5 hores, together with participants' contributions. 25 participants. Universitat de Barcelona
. 2007
Spring School: topics in complex dynamics
. (Internacional)
. 3 short courses of 4.5 hores, together with participants' contributions. 25 participants
. 2005
Working seminar in complex dynamics. IMUB (Institut de Matemàtica de la UB)
. (Internacional)
. Weekly seminar with research talks and short courses
. 2004
Lectures of the European Mathematical Society
. (Internacional)
. Conference Series of the European Mathematical Society -- Speaker: Mikhail Lyubich (Stony Brook, USA) - 6h
. 1999
CAD2000 - PhD Euroconference in complex analysis and holomorphic dynamics
. (Internacional)
. Conference funded by EU. Platja d'Aro, Girona. 70 participants
. 1999
Connections: Complex Dynamics. MSRI, Berkeley, Feb 2-4, 2022
. (Internacional)
. Connections: Complex Dynamics. MSRI, Berkeley, Feb 2-4, 2022
. 2024
EMS Summer School: Topics in Complex DYnamics 2023. Universitat de Barcelona, June 19-23, 2023
. (Internacional)
. EMS Summer School: Topics in Complex DYnamics 2023. Universitat de Barcelona, June 19-23, 2023
. 2023
Parameter spaces in complex dynamics and related topics. Centro di Ricerca Matematica Ennio de Giorgi, Pisa, May 27-31, 2024
. (Internacional)
. Parameter spaces in complex dynamics and related topics. Centro di Ricerca Matematica Ennio de Giorgi, Pisa, May 27-31, 2024
. 2024
Conferencias invitadas (últimos 10 años)
N. Fagella.
Forward compositions of inner functions.
On geometric complexity of Julia sets V. bedlewo, Poland, July 2024.
Bedlewo.
POLONIA.
2024
N. Fagella.
Exotic topology in complex dynamics (6h course).
Barcelona Introduction to Mathematical Research.
Barcelona.
ESPAÑA.
2024
N. Fagella.
Wandering domains and Blaschke sequences via quasiconformal surgery.
Complex analysis, geometry and dynamics III. Porotroz, Slovenia, June 2024.
Portoroz.
ESLOVENIA.
2024
N. Fagella.
Grand Orbit relations in wandering domains.
The role of wandering domains in holomorphic dynamics. Open University, Milton Keynes, UK, July 19th 2023.
Milton Keynes.
INGLATERRA.
2023
N. Fagella.
Bifurcations in complex Dynamics.
Spanish-Polish Mathematical meeting. Lodtz, Poland, 4-8 Sep. 2023.
Lodtz.
POLONIA.
2023
N. Fagella.
Quasiconformal surgery and applications (6h course).
Simon's Semester: Topological, smooth and holomorphic dynamics, ergodic theory, fractals. IMPAN&MIMUW Warsaw, 1-30 March, 2023.
Warsaw.
POLONIA.
2023
N. Fagella.
Transcendental dynamics and bifurcations (6h course).
EUR Mint summer school: Facets of Complex Dynamics. Inst. Math. Toulouse, France, 26-30 June, 2023.
Toulouse.
FRANCIA.
2023
N. Fagella.
Local connectivity of Fatou components of meromorphic functions.
Complex dynamics: Connections to other fields, Checiny, Poland, 27-31 March, 2023.
Checiny.
POLONIA.
2023
Fagella, N.
Bifurcation Loci of Families Finite Type Meromorphic Maps.
Adventurous Berkeley Complex Dynamics. MSRI, May 2-6, 2022.
Berkeley, CA, U.
ESTADOS UNIDOS DE AMÉRICA.
2022
Fagella, N.
Structural stability in complex dynamics.
Journées de Dynamique. Sep. 28-30, 2022.
París.
FRANCIA.
2022
Fagella, N.
The Denjoy-Wolff set: from holomorphic sequences to wandering domains.
New Trends in Holomorphic Dynamics. Aug 29-Sep 2.
Cortona.
ITALIA.
2022
Fagella, N.
Structural stability in complex dynamics.
Global and local aspects in Dynamical Systems. GLADS 22. IEC, July 5-9,2022.
Barcelona.
ESPAÑA.
2022
Fagella, N.
Boundary dynamics for holomorphic sequences, non-autonomous dynamical systems and wandering domains.
Complex Dynamics in the tropics. Nov 28 - Dec 2.
Rio de Janeiro.
BRASIL.
2022
Fagella, N.
The Denjoy Wolff-Theorem and the dynamics in Fatou components.
Introductory Workshop: Complex Dynamics, Feb 8-17 2022.
Berkeley, CA, U.
ESTADOS UNIDOS DE AMÉRICA.
2022
Fagella, N.
Bifurcation loci of families of finite type meromorphic maps.
Journées ANR Fatou. Orleans, June 13-17 2022.
Orléans, France..
FRANCIA.
2022
Fagella, N.; Firsova T.; Koch S.; Gauthier T.
.
Connections Workshop: Complex Dynamics, Feb 2-4 2022.
Berkeley, CA, U.
ESTADOS UNIDOS DE AMÉRICA.
2022
Fagella, N.
Wandering domains in complex dynamics.
5th Dynamical Systems Workshop UFRGS, 6-7 December 2021.
Rio Grande do Sul.
BRASIL.
2021
Fagella, N.
Scientific committee.
Holomorphic days 2021, 12-13 July 2021.
Castelldefels.
ESPAÑA.
2021
Fagella, N.
Dynamics behind ghosts unveiled by complex tools.
International Conference on Dynamics in Systems and Synthetic Biology (DynS^3Bio), June 14-18.
Bellaterra, Barcelona.
ESPAÑA.
2021
Fagella, N.
Do's and Don'ts about giving math talks.
Learning Week I: Academic skills and advanced topics in CAD, September 6-10 2021.
Barcelona.
ESPAÑA.
2021
Fagella, N.
Virtual centers on the parameter space of meromorphic maps.
On geometric complexity of Julia sets - III, 26 Sep - 1 Oct, 2021.
Bedlewo.
POLONIA.
2021
Fagella, N.
Meromorphic maps of finite type: parameter space.
Advancing Bridges in Complex Dynamics, 20-24 September 2021.
Luminy (Marseille).
FRANCIA.
2021
Fagella, N.
Wandering domains, in and out.
Analysis, Dynamics, Geometry and Proabability. SImon's Center, Stony Brook University, USA. March 2-6, 2020.
Stony Brook.
ESTADOS UNIDOS DE AMÉRICA.
2020
Fagella, N.
Complex dynamics: a meeting point between topology and analysis.
InDam Day Dec 2020 (Instituto Nazionale di Alta Matematica).
Online.
ITALIA.
2020
Fagella, N.
Stable components in transcendental parameter spaces.
Holomorphic Dynamics Meeting, 20 January, 2020.
Milton Keynes.
INGLATERRA.
2020
Fagella, N.
Wandering domains in transcendental functions.
Dynamics, Equations and Applications. AGH UST, Krakow, September 16-20, 2019.
Krakow.
POLONIA.
2019
Fagella, N.
Classifying simply connected wandering domains.
Analytic low-dimensional dynamics: a celebration of Misha Lyubich 60's birthday. Fields Institute, June 2019.
Toronto.
CANADÁ.
2019
Fagella, N.
Shell components in meromorphic parameter spaces.
Low-dimensional and Complex Dynamics 02 - 06 December 2019.
Lausanne.
SUIZA.
2019
Fagella, N.
Wandering domains from the inside.
Dynamical Systems: From geometry to mechanics. Tor Vergata. Feb. 5-8, 2019.
Roma.
ITALIA.
2019
Fagella, N.
Dinàmiques a l'interior dels dominis errants.
Quarta jornada de sistemes din`amics a Catalunya. Institut d'Estudis Ctalans, Setembre 2019.
Barcelona.
ESPAÑA.
2019
Fagella, N.
Periodic cycles and singular values of entire transcendental functions.
One day Function Theory Meeting. 3/9/2018.
London.
INGLATERRA.
2018
N. Fagella.
On geometric complexity of Julia sets.
On geometric complexity of Julia sets. Bedlewo (Poland) 19-23 March.
Bedlewo.
POLONIA.
2018
Fagella, N.
Fatou components of transcendental maps and singularities.
Resonances of complex dynamics, ICMS Edinburgh, 9-13 July, 2018.
Edinburgh.
REINO UNIDO.
2018
N. Fagella.
Periodic cycles and singular values of entire transcendental functions.
New Developments in Complex Analysis and Function Theory. Heraklion, Crete, 2-6 July, 2018.
Heraklion.
GRECIA.
2018
Núria Fagella.
.
MATRIX conference 2018 (29-31 octubre).
Barcelona.
ESPAÑA.
2018
Fagella, N.
Accesses to inﰂnity from Fatou components.
On geometric complexity of Julia sets. Bedlewo (Poland) 19-23 March.
Bedlewo.
POLONIA.
2018
N. Fagella.
Wandering domains of transcendental functions.
Complex dynamics and quasiconformal geometry. Angers, France, 23-25 October, 2017.
FRANCIA.
2017
N. Fagella.
A wandering domain in class B on which all iterates are univalent.
Workshop on complex dynamics. Kyoto Univeristy, Japan, 11-15 December, 2017.
JAPÓN.
2017
N. Fagella.
Wandering domains and singular values.
Workshop on complex dynamics. Kyoto univeristy, Japan, 11-15 December, 2017.
JAPÓN.
2017
N. Fagella, A.Garijo, X.Jarque.
Topics in complex dynamics 2017.
Topics in complex dynamics 2017, Oct 2-6.
ESPAÑA.
2017
N. Fagella.
Quasiconformal surgery in holomorphic Dynamics.
Workshop in holomorphic dynamics. Universidad de Puebla, México. 18-20 October, 2017.
Puebla.
MÉXICO.
2017
N. Fagella.
Separation of periodic points in holomorphic dynamics.
Czech, Slovenian, Austrian, Slovak and Catalan mathematical societies joint meeting. Institut d'Estudis Catalans, 20-23 September, 2016.
ESPAÑA.
2016
Fagella, N.
Quasiconformal Surgery and applications to transcendental dynamics.
North-American Workshop in Holomorhic Dynamics. Cancun, May 27-June 4, 2016.
MÉXICO.
2016
N. Fagella.
On the Julia set of Newton's method: a unified approach.
Parameter problems in analyitic dynamics. Imperial College, London, 27 June-2 July, 2016.
INGLATERRA.
2016
N. Fagella.
On the Julia set of Newton's method: a unified approach.
I Joint meeting EMS-PMS-AMS. Porto, Portugal, 9-13 June 2015.
PORTUGAL.
2015
N. Fagella.
Escaping points in the boundary of Baker domains.
Topics in analysis and holomorphic dynamics. Sep. 14-19, 2015.
Warsaw.
POLONIA.
2015
N. Fagella.
Escaping points in the boundary of Baker domains.
Ergodic theory and holomorphic dynamics. Sep. 28-Oct 2, 2015.
Vienna.
AUSTRIA.
2015
A. Benini; N. Fagella.
.
Ergodic theory and holomorphic dynamics, September 28 -- October 2, 2015.
Vienna.
AUSTRIA.
2015
Fagella, N.
Connectivity of Newton's method: A unified approach.
Janina Kotus birthday Session. May 22-23, 2015.
Warsaw.
POLONIA.
2015
N. Fagella.
.
I Joint meeting EMS-PMS-AMS. Porto, Portugal, 9-13 June 2015.
PORTUGAL.
2015
N. Fagella; A. Garijo; X. Jarque.
.
Topics in Complex Dynamics. 23-27 Nov, 2015.
ESPAÑA.
2015
Participación en Comités y Representaciones
Membre del Consell Científic Assessor del CRM (centre de Recerca Matemàtica)
. (31/12/2000)
. Membre del consell
. 01/01/1999 - 31/12/2000
Comité Editorial del Butlletí de la Societat Catalana de Matemàtiques
. (2019)
. Revista d'articles de recerca en matemàtiques
. 2009 - 2019
Jurat del premi 'Ferran Sunyer i Balaguer' http://ffsb.espais.iec.cat/en/
. (2014)
. Jurat que otorga el premi anualment a la millor monografia en matemàtiques presentada a concurs.
. 2009 - 2014
Guest Associate Editor of the journal 'International Journal of Bifurcation and Chaos'
. (2011)
. Holomorphic Dynamics
. 2010 - 2011
Associate Editor of the journal 'International Journal of Bifurcation and Chaos'
. (2019)
. Holomorphic Dynamics
. 2012 - 2019
Head co-editor of Reports@SCM, and electronic research journal of the SCM
. (2018)
. Mathematics
. 2012 - 2018
Member of the Scientific Committee of BGSMath
. (31/12/2014)
. Advising of scientific activities for BGSMAth
. 2012 - 31/12/2014
Vocal de la Junta directiva de la Societat Catalana de Matemàtiques
. (31/12/2018)
. Vocal
. 01/11/2012 - 31/12/2018
Comissió Específica de Professorat Lector i Col·laborador (CLIC) de l'àmbit de Ciències
. (01/07/2016)
. Acreditació de Lectors i Col.laboradors
. 01/09/2014 - 01/07/2016
Member of the Governing Board of BGSMath
. (01/09/2018)
. Representative of UB at BGSMath.
. 01/01/2015 - 01/09/2018
Member of the Board of Trustees of 'Ferran Sunyer i Balaguer' Foundation
. (2025)
. Membre del consell
. 2017 - 2025
Member of the Advisory group Next Generation
. Use of funds Next Generation
. 01/04/2017
Tribunal de tesi
. (15/12/2020)
. dimensional Thurston theory and transcendental dynamics with escaping singular orbits. PhD Thesis Kostya Bogdanov.
. 15/12/2020
Tribunal de tesi
. (10/12/2021)
. A topological characterization of certain postsingularly finite entire functions: transcendental dynamics and Thurston theory. PhD Thesis Sergey Shemyakov.
. 10/12/2021
Managing editor of the journal 'Collectanea Mathematica'
. (2025)
. Holomorphic Dynamics; Dynamical Systems; Ergodic Theory
. 2022 - 2025
Member of the editorial board of the journal 'Analysis and Mathematical Physics'
. (2025)
. Holomorphic Dynamics; Dynamical Systems; Ergodic Theory
. 2022 - 2025
Member of the Scientific Committee of the Societat Catalana de Matemàtiques
. Mathematics
. 2023
Panel member of the US National Science Fundation
. (2024)
. Research grants in mathematics
. 2024
Member of the editorial board of the journals 'Bulletin of the London Mathematical Society" and "Journal of the London Mathematical Society"
. (2028)
. Holomorphic Dynamics; Dynamical Systems; Ergodic Theory
. 2024 - 2028
Tribunal de tesi
. hyperbolic quadratic families. Ph.D. Thesis of Igsyl Calderón,
. 15/01/2024
Tribunal de tesi
. Thurston theory in transcendental dynamics
Théorie de Thurston en dynamique transcendante. PhD Thesis Nikolai Prochorov.
. 18/12/2024
Proyectos
Unidades de excelencia «María de Maeztu». Centre de Recerca Matemàtica (CRM)
.
2022 - 2025
. Ref.CEX2020-001084-M
. Ministerio de Ciencia, Innovación y Universidades
. IP: Marcel Guardia Munarriz
Ajut per incentivar i consolidar la recerca d'excel·lència ja existent a les universitats públiques de Catalunya. Programa ICREA Academia 2020
.
2021 - 2025
. Fundació Institució Catalana de Recerca i Estudis Avançats (ICREA)
. IP: Nuria Fagella Rabionet
Estabilidad y caos en iteración holomorfa
.
2021 - 2024
. Ref.PID2020-118281GB-C32
. Ministerio de Ciencia, Innovación y Universidades
. IP: Nuria Fagella Rabionet
Sistemas dinámicos holomorfos
.
2018 - 2020
. Ref.MTM2017-86795-C3-3-P
. Ministerio de Economía y Competitividad
. IP: Nuria Fagella Rabionet
Grup de Sistemes Dinàmics UB
.
2017 - 2021
. Ref.2017SGR1374
. Agència de Gestió d'Ajuts Universitaris i de Recerca (AGAUR)
. IP: Angel Jorba Monte
Combinatorics in Transcendental Dynamics (CoTraDy)
.
2017 - 2019
. Ref.703269
. Unió Europea
. IP: Nuria Fagella Rabionet; Anna Benini
Mención de Excelencia Maria de Maetzu al Barcelona Graduate School of Mathematics (BGSMath)
.
2015 - 2019
. Ref.MDM-2014-0445
. Ministerio de Economía y Competitividad
. IP: Marcos Noy Serrano
Modern Mathematics in Marseille and More
.
2023 - 2028
. Ref.AMX-22-IN1-50
. Fondation A*Midex
. IP: Dierk Schleicher
Holomorphic Dynamics in one and several complex variables (EMS Summer School 2023)
.
2023 - 2023
. European Mathematical Society
. IP: Nuria Fagella Rabionet
Dinámica, Atractores, No linealidad, Caos y Estabilidad
.
2023 - 2025
. Ref.RED2022-134273-T
. Ministerio de Ciencia e Innovación
. IP: Joan Torregrosa Arus
Dominios errantes, rigidez, y algoritmos de búsqueda de ceros en dinámica holomorfa
.
2024 - 2027
. Ref.PID2023-147252NB-I00
. Ministerio de Ciencia e Innovación
. IP: Nuria Fagella Rabionet; Kostiantyn Drach
Publicaciones en revistas
Fagella, N.; Jové, A. (2023).
A model for boundary dynamics of Baker domains.
Mathematische Zeitschrift, 303(4)
. Repositorio Institucional
. ISSN: 0025-5874
Benini, A.; Evdoridou, V.; Fagella, N.; Rippon, P.; Stallard, G. (2022).
Classifying simply connected domains.
Mathematische Annalen, 383(3-4), pp. 1127 - 1178
. Repositorio Institucional
. ISSN: 0025-5831
Canela, J.; Alsedà, L.; Fagella, N.; Sardanyés, J. (2022).
Dynamical nechanism behind ghosts unveiled in a map complexification.
Chaos Solitons & Fractals, 156
. Repositorio Institucional
. ISSN: 0960-0779
Fagella, N.; Keen, L. (2021).
Stable components in the parameter plane of transcendental functions of finite type.
Journal of Geometric Analysis, 31(5), pp. 4816 - 4855
. Repositorio Institucional
. ISSN: 1050-6926
Benini, A.M.; Fagella, N. (2020).
A bound on the number of rationally invisible repelling orbits.
Advances in Mathematics, 370
. Repositorio Institucional
. ISSN: 0001-8708
Capiński, Maciej; Fagella, Núria; Misiurewicz, Michał; Shen, Weixiao; Weiss, Benjamin; Ciepliński, Krzysztof (2020).
Preface [Special issue on dynamics at DEA 2019].
Discrete and Continuous Dynamical Systems-Series A, 40(12), pp. 1 - 2
. ISSN: 1078-0947
Benini, A.M.; Fagella, N. (2020).
Singular values and non-repelling cycles for entire transcendental maps.
Indiana University Mathematics Journal, 69, pp. 1543 - 1558
. Repositorio Institucional
. ISSN: 0022-2518
Barasnki, K. ; Fagella, N. ; Jarque, X. ; Karpinska, B. (2020).
Fatou components and singularities of meromorphic functions.
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 150(2), pp. 633 - 654
. Repositorio Institucional
. ISSN: 0308-2105
V. Evdoridou; N. Fagella; X. Jarque; D. J. Sixsmith (2019).
Singularities of inner functions associated with hyperbolic maps.
Journal of Mathematical Analysis and Applications, 477(1), pp. 536 - 550
. Repositorio Institucional
. ISSN: 0022-247X
Fagella, N.; Jorba, A.; Jorba, M.; Tatjer, J.C. (2019).
Classification of linear skew-products of the complex plane and an affine route to fractalization.
Discrete and Continuous Dynamical Systems-Series A, 39(7), pp. 3767 - 3787
. Repositorio Institucional
. ISSN: 1078-0947
K. Baranski; N. Fagella; X. Jarque; B. Karpinska. (2019).
Escaping points in the boundaries of baker domains.
Journal d'Analyse Mathematique, 137(2), pp. 679 - 706
. Repositorio Institucional
. ISSN: 0021-7670
N. Fagella; X. Jarque; K. Lazebnik (2019).
Univalent Wandering Domains in the Eremenko-Lyubich Class.
Journal d'Analyse Mathematique, 139(1), pp. 369 - 395
. Repositorio Institucional
. ISSN: 0021-7670
Benini, A.M.; Fagella, N. (2018).
Singular values and bounded Siegel disks.
Mathematical Proceedings of the Cambridge Philosophical Society, 165(2), pp. 249 - 265
. Repositorio Institucional
. ISSN: 0305-0041
Baranski, Krzysztof; Fagella, Núria; Jarque, Xavier; Karpinska, Boguslawa (2018).
Connectivity of Julia sets of Newton maps: a unified approach.
Revista Matematica Iberoamericana, 34(3), pp. 1211 - 1228
. Repositorio Institucional
. ISSN: 0213-2230
Fagella, N.; Martí-Pete, D. (2017).
Dynamic rays of bounded-type transcendental self-maps of the punctured plane.
Discrete and Continuous Dynamical Systems-Series A, 37(6), pp. 3123 - 3160
. Repositorio Institucional
. ISSN: 1078-0947
Fagella, N.; Henriksen, C. (2017).
The fine structure of Herman rings.
Journal of Geometric Analysis, 27(3), pp. 2381 - 2399
. Repositorio Institucional
. ISSN: 1050-6926
Baranski, K.; Fagella, N.; Jarque, X.; Karpinska, B. (2017).
Accesses to infinity from Fatou components.
Transactions of the American Mathematical Society, 369(3), pp. 1835 - 1867
. Repositorio Institucional
. ISSN: 0002-9947
Canela, J.; Fagella, N.; Garijo, A. (2016).
Tongues in degree 4 Blaschke products.
Nonlinearity, 29, pp. 3464 - 3495
. Repositorio Institucional
. ISSN: 0951-7715
Fagella, N.; Godillon, S.; Jarque, X. (2015).
Wandering domains for composition of entire functions.
Journal of Mathematical Analysis and Applications, 429(1), pp. 478 - 496
. Repositorio Institucional
. ISSN: 0022-247X
Canela, J.; Fagella, N.; Garijo, A. (2015).
On a family of rational perturbations of the doubling map.
Journal of Difference Equations and Applications, 21(8), pp. 715 - 741
. Repositorio Institucional
. ISSN: 1023-6198
Benini, A. ; Fagella, N. (2015).
A separation theorem for entire transcendental maps.
Proceedings of the London Mathematical Society, 110(2), pp. 291 - 324
. Repositorio Institucional
. ISSN: 0024-6115
Baranski, K.; Fagella, N.; Jarque, X.; Karpinska, B. (2015).
Absorbing sets and Baker domains for holomorphic maps.
Journal of the London Mathematical Society-Second Series, 92(1), pp. 144 - 162
. Repositorio Institucional
. ISSN: 0024-6107
Bergweiler, W.; Fagella, N.; Rempe, L. (2015).
Hyperbolic entire functions with bounded Fatou components.
Commentarii Mathematici Helvetici, 90(4), pp. 799 - 829
. Repositorio Institucional
. ISSN: 0010-2571
Baranski, K.; Fagella, N.; Jarque, X.; Karpinska, B. (2014).
On the Connectivity of the Julia sets of meromorphic functions.
Inventiones Mathematicae, 198(3), pp. 591 - 636
. Repositorio Institucional
. ISSN: 0020-9910
Devaney R.L.; Fagella. N.; Garijo A.; Jarque X. (2014).
Sierpinski curve Julia sets for quadratic rational maps.
Annales Academiae Scientiarum Fennicae. Mathematica, 39(1), pp. 3 - 22
. Repositorio Institucional
. ISSN: 1239-629X
Peter, J. ; Fagella, N. (2012).
On the configuration of Herman rings of meromorphic functions.
Journal of Mathematical Analysis and Applications, 394(2), pp. 458 - 467
. Repositorio Institucional
. ISSN: 0022-247X
Fagella, N.; Jarque, X.; Taixés, J. (2011).
On connectivity of Julia sets of transcendental meromorphic maps and weakly repelling fixed points II.
Fundamenta Mathematicae, 215(2), pp. 177 - 202
. Repositorio Institucional
. ISSN: 0016-2736
Berenguel, R. ; Fagella, N. (2010).
An entire transcendental family with a persistent Siegel disc.
Journal of Difference Equations and Applications, 16(5), pp. 523 - 553
. Repositorio Institucional
. ISSN: 1023-6198
Fagella, N.; Jarque, X.; Taixes, J. (2008).
On connectivity of Julia sets of transcendental meromorphic maps and weakly repelling fixed points I.
Proceedings of the London Mathematical Society, 97(3), pp. 599 - 622
. Repositorio Institucional
. ISSN: 0024-6115
Nuria Fagella (2008).
Invariants en dinàmica complexa.
Butlletí de la Societat Catalana de Matemàtiques, 23(1), pp. 29 - 51
. Repositorio Institucional
. ISSN: 0214-316X
Fagella, N.; Garijo, A. (2007).
The Parameter Planes of λz^m e^z for m≥2.
Communications in Mathematical Physics, 273(3), pp. 755 - 783
. Repositorio Institucional
. ISSN: 0010-3616
N.Fagella, C.Henriksen (2006).
Deformations of entire functions with Baker domains.
Discrete and Continuous Dynamical Systems-Series A, 15(2), pp. 379 - 394
. Repositorio Institucional
. ISSN: 1078-0947
X.~Buff, N.~Fagella, L.~Geyer, C.~Henriksen (2005).
Herman rings and Arnold disks.
Journal of the London Mathematical Society-Second Series, 72(3), pp. 689 - 716
. Repositorio Institucional
. ISSN: 0024-6107
Fagella, T. Martinez-Seara, J. Villanueva (2004).
Asymptotic size of Herman rings of the complex standard family by quantitative quasiconformal surgery.
Ergodic Theory and Dynamical Systems, 24(3), pp. 735 - 766
. Repositorio Institucional
. ISSN: 0143-3857
P. Dominguez, N. Fagella (2004).
Existence of Herman rings for meromorphic functions.
Complex Variables And Elliptic Equations, 49, pp. 851 - 870
. http://www.informaworld.com/smpp/title~content=t713455999
. ISSN: 1747-6933
Fagella, N.; Garijo, A. (2003).
Capture zones of the family of functions $\lambda z^m e^z$.
International Journal of Bifurcation and Chaos, 13(9), pp. 2623 - 2640
. https://doi.org/10.1142/S0218127403008120
. ISSN: 0218-1274
Geyer, L.; Fagella, N. (2003).
Surgery on Herman rings of the complex standard family.
Ergodic Theory and Dynamical Systems, 23(2), pp. 493 - 508
. Repositorio Institucional
. ISSN: 0143-3857
Devaney, R.; Fagella, N.; Jarque, X. (2002).
Hyperbolic components of the exponential family.
Fundamenta Mathematicae, 174(3), pp. 193 - 215
. http://journals.impan.gov.pl/fm/
. ISSN: 0016-2736
Branner, B.; Fagella, N. (2001).
Extensions of homeomorphisms of the Mandelbrot Set.
Conformal Geometry and Dynamics , 5, pp. 100 - 139
. ISSN: 1088-4173
Baranski, K.; Fagella, N. (2001).
Univalent Baker domains.
Nonlinearity, 14, pp. 411 - 429
. ISSN: 0951-7715
Fagella, N. Llibre, J. (2000).
Periodic points of holomorphic maps via Lefschetz numbers.
Transactions of the American Mathematical Society, 352, pp. 4711 - 4730
. Repositorio Institucional
. ISSN: 0002-9947
Fagella, N. (2000).
El conjunt de Mandelbrot i altres plans de bifurcació.
Butlletí de la Societat Catalana de Matemàtiques, 15(1), pp. 35 - 54
. Repositorio Institucional
. ISSN: 0214-316X
Alsedà, Ll.; Fagella, N. (2000).
Dynamics on Hubbard Trees.
Fundamenta Mathematicae, 164, pp. 115 - 141
. ISSN: 0016-2736
Branner, B.; Fagella, N. (1999).
Homeomorphisms between limbs of the Mandelbrot set.
Journal of Geometric Analysis, 9, pp. 327 - 390
. https://doi.org/10.1007/BF02921981
. ISSN: 1050-6926
Fagella, N. (1999).
Dynamics of the complex standard family.
Journal of Mathematical Analysis and Applications, 229, pp. 1 - 31
. ISSN: 0022-247X
Fagella, N. (1995).
Limiting dynamics for the complex Standard family.
International Journal of Bifurcation and Chaos, 5(3), pp. 673 - 700
. https://doi.org/10.1142/S0218127495000521
. ISSN: 0218-1274
Benini, A.; Evdoridou, V.; Fagella, N.; Rippon, P.; Stallard, G. (2024).
Boundary dynamics for holomorphic sequences, non-autonomous dynamical systems and wandering domains.
Advances in Mathematics, 446, pp. 1 - 51
. Repositorio Institucional
. ISSN: 0001-8708
Baranski, K.; Fagella, N.; Jarque, X.; Karpinska, B. (2024).
Local connectivity of boundaries of tame Fatou components of meromorphic functions.
Mathematische Annalen
. Repositorio Institucional
. ISSN: 0025-5831
Florido, R.; Fagella, N. (2024).
Dynamics of projectable functions: Towards an atlas of wandering domains for a family of Newton maps.
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2024, pp. 1 - 50
. https://doi.org/10.1017/prm.2024.81
. ISSN: 0308-2105
Jové, A.; Fagella, N. (2025).
Boundary dynamics in unbounded Fatou components.
Transactions of the American Mathematical Society
. https://doi.org/10.1090/tran/9287
. ISSN: 0002-9947
Fagella, N.; Porti, J. (2023).
Dos teoremes i una demostració, per Dennis Sullivan.
Butlletí de la Societat Catalana de Matemàtiques, 38(2), pp. 143 - 164
. Repositorio Institucional
. ISSN: 0214-316X
Tesis doctorales
Rubén Berenguel Montoro
. (2016)
. The Parametrisation Method for Invariant Manifolds of Tori in Skew-Product Lattices and An Entire Transcendental Family with a Persistent Siegel Disk
(Tesis Doctoral)
. Universitat de Barcelona.
Jordi Canela Sánchez
. (2015)
. On the dynamics of a family of degree four Blaschke products
(Tesis Doctoral Europea)
. Universitat de Barcelona.
http://diposit.ub.edu/dspace/handle/2445/65597
Asli Deniz
. (2013)
. Entire tanscendental maps with two singular values
(Tesis Doctoral Europea)
. Universitat de Barcelona (joint Roskilde University).
David Martí Pete
. (2011)
. Dynamic rays for transcendental holomorphic self-maps of $\mathbb C$ and $\mathbb C^*$
(Tesis de Masters)
. Universitat de Barcelona.
Jordi Taixés Ventosa
. (2011)
. Connectivity of Julia sets of transcendental meromorphic functions
(Tesis Doctoral Europea)
. Universitat de Barcelona.
Docencia Impartida
Models Matemàtics i Sistemes Dinàmics -
Matemáticas -
Universidad de Barcelona.
Anàlisi Matemàtica -
Matemáticas -
Universidad de Barcelona.
Anàlisi Complexa -
Matemáticas -
Universidad de Barcelona.
Probabilitats -
Matemáticas -
Universidad de Barcelona.
Introducció al Càlcul Diferencial -
Matemáticas -
Universidad de Barcelona.
Sistemes Dinàmics -
Matemática Avanzada -
Universidad de Barcelona.
Treball fi de grau -
Matemáticas -
Universidad de Barcelona.
Projecte Final d'Estudis -
Matemática Avanzada y Profesional -
Universidad de Barcelona.
Equacions Diferencials -
Matemáticas -
Universidad de Barcelona.
Equacions Diferencials -
Matemáticas -
Universidad de Barcelona.