Nuria Fagella Rabionet

Nuria Fagella Rabionet

Full professor

Scopus Author ID: 6602964383
Researcher ID: D-4403-2014
Knowledge area: Matemàtica Aplicada

Grup de Sistemes Dinàmics UB

Teaching Innovation Groups: Innovació Docent en Matemàtiques i Informàtica

Contact Information
Department of Mathematics and Computer Science
Gran Via 585
934024499
nfagella(a)ub.edu

Previous Tasks

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

Books and book chapters

Branner, B.; Fagella, N. (2014). Quasiconformal surgery in holomorphic dynamics . In Series: Cambridge Studies in Advanced Matehmatics . Volume. 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 . In 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 . In Transcendental Dynamics and Complex Analysis. LMS Lecture Note Series. . Volume. 348 . (pp. 138 - 164) . Cambridge University Press (CUP) . ISBN: 978-0-521-68372-2 .
Fagella, N; Jarque, X. (2007). Iteración compleja y Fractales . In Colección: Enseñar y saber en el siglo XXI . Volume. 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 . In 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 . In Progress in Complex Dynamics, Pitman Research Notes . Volume. 387 . (pp. 139 - 158) . Longman . ISBN: 0-582-32388-6 .

Academic training

Licenciatura en Ciencias Matemáticas . Universitat Autònoma de Barcelona . 07/1990 . (Diploma / Degree / Activities)
Ph.D. in Mathematics . Boston University (Boston, EEUU) . 01/1995 . (Ph.D.)
Masters of Science . Boston University (Boston, MA) . 06/1991 . (Official Master)

Management of R+D activities

IP (investigador principal) del proyecto MTM2017-86795-C3-3-P del Ministerio de Ciencia e Innovación, titulado 'Sistemas DInámicos Holomorfos', 2017-2019 . Investigación en sistemas dinámicos homomorfos . 2017
IP del proyecto 8P1MCA - HORIZON 2020, Marie Curie Individual Fellowship, with Anna Benini. Combinatorics in Transcendental Dynamics (CoTraDy), 2017-2019 . Investigación en sistemas dinàmicos transcendentes . 2017
Membre del Governing Board de la Barcelona Graduate School of Mathematics (BGSMath). Periodo 2016-2018 . Representant de la UB al Consell de direcció . 2016
IP (investigador principal) del proyecto MTM2014-52209-C2-2-P, del Ministerio de Ciencia e Innovación, titulado 'Sistemas DInámicos Holomorfos', 2015-2017 . Investigación en sistemas dinámicos homomorfos . 2015
IP (investigador principal) del proyecto PID2020-118281GB-C32 del Ministerio de Ciencia e Innovación, titulado 'Estabilidad y caos en iteración holomorfa', 2021-2023 . Investigación en sistemas dinámicos homomorfos . 2020

Organization of R+D activities

(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 . (Internacional) . Conference at CIRM (Luminy), 20-24 Sep 2021. https://www.i2m.univ-amu.fr/events/advancing-bridges-in-complex-dynamics/ . 2021
Holomorphic Days 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

Invited talks at conferences (last 10 years)

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. POLAND. 2023
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. ENGLAND. 2023
N. Fagella. Bifurcations in complex Dynamics. Spanish-Polish Mathematical meeting. Lodtz, Poland, 4-8 Sep. 2023. Lodtz. POLAND. 2023
Alsedà, LL.; Fagella, N.; Karpinska, B.; Zdunik, A. Spanish-Polish Mathematical meeting. Lodtz, Poland, 3-8 Sep 2023. Spanish-Polish Mathematical meeting. Lodtz, Poland, 3-8 Sep 2023. Lodtz. POLAND. 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. FRANCE. 2023
N. Fagella. Local connectivity of Fatou components of meromorphic functions. Complex dynamics: Connections to other fields, Checiny, Poland, 27-31 March, 2023. Checiny. POLAND. 2023
Fagella, N. Bifurcation Loci of Families Finite Type Meromorphic Maps. Adventurous Berkeley Complex Dynamics. MSRI, May 2-6, 2022. Berkeley, CA, U. UNITED STATES. 2022
Fagella, N. The Denjoy Wolff-Theorem and the dynamics in Fatou components. Introductory Workshop: Complex Dynamics, Feb 8-17 2022. Berkeley, CA, U. UNITED STATES. 2022
Fagella, N. Bifurcation loci of families of finite type meromorphic maps. Journées ANR Fatou. Orleans, June 13-17 2022. Orléans, France.. FRANCE. 2022
Fagella, N. Structural stability in complex dynamics. Journées de Dynamique. Sep. 28-30, 2022. París. FRANCE. 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. BRAZIL. 2022
Fagella, N.; Firsova T.; Koch S.; Gauthier T. . Connections Workshop: Complex Dynamics, Feb 2-4 2022. Berkeley, CA, U. UNITED STATES. 2022
Fagella, N. The Denjoy-Wolff set: from holomorphic sequences to wandering domains. New Trends in Holomorphic Dynamics. Aug 29-Sep 2. Cortona. ITALY. 2022
Fagella, N. Structural stability in complex dynamics. Global and local aspects in Dynamical Systems. GLADS 22. IEC, July 5-9,2022. Barcelona. SPAIN. 2022
Fagella, N. Scientific committee. Holomorphic days 2021, 12-13 July 2021. Castelldefels. SPAIN. 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. POLAND. 2021
Fagella, N. Meromorphic maps of finite type: parameter space. Advancing Bridges in Complex Dynamics, 20-24 September 2021. Luminy (Marseille). FRANCE. 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. SPAIN. 2021
Fagella, N. Wandering domains in complex dynamics. 5th Dynamical Systems Workshop UFRGS, 6-7 December 2021. Rio Grande do Sul. BRAZIL. 2021
Fagella, N. Scientific committee. Advancing Bridges in Complex Dynamics, 20-24 September 2021. Luminy (Marseille). FRANCE. 2021
Fagella, N. Scientific Committee. Topics in Complex Dynamics 2021. Bellaterra, Barcelona. SPAIN. 2021
Fagella, N. Dynamics behind ghosts unveiled by complex tools. International Conference on Dynamics in Systems and Synthetic Biol​ogy (DynS^3Bio), June 14-18. Bellaterra, Barcelona. SPAIN. 2021
Fagella, N. Complex dynamics: a meeting point between topology and analysis. InDam Day Dec 2020 (Instituto Nazionale di Alta Matematica). Online. ITALY. 2020
Fagella, N. Stable components in transcendental parameter spaces. Holomorphic Dynamics Meeting, 20 January, 2020. Milton Keynes. ENGLAND. 2020
Fagella, N. Wandering domains, in and out. Analysis, Dynamics, Geometry and Probability, March 3-7, 2020. Stony Brook. UNITED STATES. 2020
Fagella, N. Scientific Committee. Intensive Research Program: Low dimensional dynamical systems. Bellaterra, Barcelona. SPAIN. 2020
Fagella, N. Wandering domains in transcendental functions. Dynamics, Equations and Applications. AGH UST, Krakow, September 16-20, 2019. Krakow. POLAND. 2019
Fagella, N. Minisymposium: Transcendental dynamics. Dynamics, Equations and Applications. AGH UST, Krakow, September 16-20, 2019. Krakow. POLAND. 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. CANADA. 2019
Fagella, N. Shell components in meromorphic parameter spaces. Low-dimensional and Complex Dynamics 02 - 06 December 2019. Lausanne. SWITZERLAND. 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. SPAIN. 2019
Fagella, N., Jarque, X., Garijo. A., Benini, A., Canela, J. Topics in complex dynamics 2019. Topics in complex dynamics 2019, March 25-29. Barcelona. SPAIN. 2019
Fagella, N. Wandering domains from the inside. Dynamical Systems: From geometry to mechanics. Tor Vergata. Feb. 5-8, 2019. Roma. ITALY. 2019
N. Fagella. On geometric complexity of Julia sets. On geometric complexity of Julia sets. Bedlewo (Poland) 19-23 March. Bedlewo. POLAND. 2018
Núria Fagella. . MATRIX conference 2018 (29-31 octubre). Barcelona. SPAIN. 2018
Fagella, N. Periodic cycles and singular values of entire transcendental functions. One day Function Theory Meeting. 3/9/2018. London. ENGLAND. 2018
Fagella, N. Fatou components of transcendental maps and singularities. Resonances of complex dynamics, ICMS Edinburgh, 9-13 July, 2018. Edinburgh. UNITED KINGDOM. 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. GREECE. 2018
N. Fagella. Surfaces in Bedlewo. Surfaces in Bedlewo (15-21 April 2018). Bedlewo. POLAND. 2018
N. Fagella. Wandering domains and singular values. Workshop on complex dynamics. Kyoto univeristy, Japan, 11-15 December, 2017. JAPAN. 2017
N. Fagella. Wandering domains of transcendental functions. Complex dynamics and quasiconformal geometry. Angers, France, 23-25 October, 2017. FRANCE. 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. JAPAN. 2017
N. Fagella, A.Garijo, X.Jarque. Topics in complex dynamics 2017. Topics in complex dynamics 2017, Oct 2-6. SPAIN. 2017
N. Fagella. Quasiconformal surgery in holomorphic Dynamics. Workshop in holomorphic dynamics. Universidad de Puebla, México. 18-20 October, 2017. Puebla. MEXICO. 2017
Fagella, N. Quasiconformal Surgery and applications to transcendental dynamics. North-American Workshop in Holomorhic Dynamics. Cancun, May 27-June 4, 2016. MEXICO. 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. ENGLAND. 2016
N. Fagella, J. Bobok, H. Bruin. Special Session in Low Dimension Discrete Dynamical Systems. Czech, Slovenian, Austrian, Slovak and Catalan mathematical societies joint meeting. Institut d'Estudis Catalans, 20-23 September, 2016. SPAIN. 2016
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. SPAIN. 2016
N. Fagella. . I Joint meeting EMS-PMS-AMS. Porto, Portugal, 9-13 June 2015. PORTUGAL. 2015
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
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. POLAND. 2015
N. Fagella. Escaping points in the boundary of Baker domains. Topics in analysis and holomorphic dynamics. Sep. 14-19, 2015. Warsaw. POLAND. 2015
N. Fagella; A. Garijo; X. Jarque. . Topics in Complex Dynamics. 23-27 Nov, 2015. SPAIN. 2015
N. Fagella. Escaping points in the boundary of Baker domains. Ergodic theory and holomorphic dynamics. Sep. 28-Oct 2, 2015. Vienna. AUSTRIA. 2015
Fagella, N. Quasiconformal surgery in holomorphic dynamics. LMS Scheme 3 Holomorphic Dynamics meeting. Milton Keynes. UNITED KINGDOM. 2014
Fagella, N. How to access infinity from the Fatou set. One day Function Theory Meeting. 1/9/2014. London. ENGLAND. 2014
Fagella, N,; Jarque, X.; Juher, D.; Manyosa, V.; Manyosas, F. . New Perspective in Discrete Dynamical Systems. Oct 2-4, 2014. Tossa de Mar, Girona. SPAIN. 2014
Fagella, N. Newton's method, Baker domains and absorbing regions. Sixth Iberoamerican Congress in Geometry. New York. UNITED STATES. 2014
Baranski, K.; Boronski, J.; Dudko, A.; Fagella, N.; Fraczek, K.; Galazka, P.; Gutman, J.; Karpinska, B.; Kwietniak, D.; Pollicott, M.; Przytycki, F.; Rams, M.; Szarek, T.; Zdunik, A. Topological, smooth and holomorphic dynamics, ergodic theory, fractals. Topological, smooth and holomorphic dynamics, ergodic theory, fractals. IMPAN, Poland March 1- June 30, 2023. POLAND. 2023
Baranski, K.; Fagella, N.; Zdunik, A. Modern holomorphic dynamics and related fields. Modern holomorphic dynamics and related fields. U. Warsaw, Poland March 1- June 30, 2023. POLAND. 2023
Bayer, P.; Bolón, V.; Córdoba, D.; Fagella, N.; González Prieto, A.; Perez García, D.; Vázquez, J.L. Retos en matemáticas y su impacto social. Retos en matemáticas y su impacto social. Madrid. SPAIN. 2023
Abate, M.; Fagella, N.; Przytycki, F.; Stallard, G. Topics in Complex Dynamics 2023. Topics in Complex Dynamics 2023, Universitat de Barcelona, June 19-23, 2023. Barcelona. SPAIN. 2023

Participation in Committees and Representations

Member of the editorial board of the journal 'Analysis and Mathematical Physics' . (2025) . Holomorphic Dynamics; Dynamical Systems; Ergodic Theory . 2022 - 2025
Managing editor of the journal 'Collectanea Mathematica' . (2025) . Holomorphic Dynamics; Dynamical Systems; Ergodic Theory . 2022 - 2025
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
Tribunal de tesi . (15/12/2020) . dimensional Thurston theory and transcendental dynamics with escaping singular orbits. PhD Thesis Kostya Bogdanov. . 15/12/2020
Member of the Advisory group Next Generation . Use of funds Next Generation . 01/04/2017
Member of the Board of Trustees of 'Ferran Sunyer i Balaguer' Foundation . Membre del consell . 2017
Member of the Governing Board of BGSMath . (01/09/2018) . Representative of UB at BGSMath. . 01/01/2015 - 01/09/2018
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
Vocal de la Junta directiva de la Societat Catalana de Matemàtiques . (31/12/2018) . Vocal . 01/11/2012 - 31/12/2018
Member of the Scientific Committee of BGSMath . (31/12/2014) . Advising of scientific activities for BGSMAth . 2012 - 31/12/2014
Head co-editor of Reports@SCM, and electronic research journal of the SCM . (2018) . Mathematics . 2012 - 2018
Associate Editor of the journal 'International Journal of Bifurcation and Chaos' . (2019) . Holomorphic Dynamics . 2012 - 2019
Guest Associate Editor of the journal 'International Journal of Bifurcation and Chaos' . (2011) . Holomorphic Dynamics . 2010 - 2011
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
Comité Editorial del Butlletí de la Societat Catalana de Matemàtiques . (2019) . Revista d'articles de recerca en matemàtiques . 2009 - 2019
Membre del Consell Científic Assessor del CRM (centre de Recerca Matemàtica) . (31/12/2000) . Membre del consell . 01/01/1999 - 31/12/2000
Member of the Scientific Committee of the Societat Catalana de Matemàtiques . Mathematics . 2023

Grants

Unidades de excelencia «María de Maeztu». Centre de Recerca Matemàtica (CRM) . 2022 - 2025 . Ref.CEX2020-001084-M . Ministerio de Ciencia, Innovación y Universidades . PI: 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) . PI: Nuria Fagella Rabionet
Estabilidad y caos en iteración holomorfa . 2021 - 2024 . Ref.PID2020-118281GB-C32 . Ministerio de Ciencia, Innovación y Universidades . PI: Nuria Fagella Rabionet
Sistemas dinámicos holomorfos . 2018 - 2020 . Ref.MTM2017-86795-C3-3-P . Ministerio de Economía y Competitividad . PI: Nuria Fagella Rabionet
Grup de Sistemes Dinàmics UB . 2017 - 2021 . Ref.2017SGR1374 . Agència de Gestió d'Ajuts Universitaris i de Recerca (AGAUR) . PI: Angel Jorba Monte
Combinatorics in Transcendental Dynamics (CoTraDy) . 2017 - 2019 . Ref.703269 . Unió Europea . PI: 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 . PI: Marcos Noy Serrano

Publications in Journals

Benini, A.; Evdoridou, V.; Fagella, N.; Rippon, P.; Stallard, G. (2022). Classifying simply connected domains. Mathematische Annalen, 383(3-4), pp. 1127 - 1178 . Institutional Repository . 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 . Institutional Repository . 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 . Institutional Repository . ISSN: 1050-6926
Benini, A.M.; Fagella, N. (2020). A bound on the number of rationally invisible repelling orbits. Advances in Mathematics, 370 . Institutional Repository . ISSN: 0001-8708
Benini, A.M.; Fagella, N. (2020). Singular values and non-repelling cycles for entire transcendental maps. Indiana University Mathematics Journal, 69, pp. 1543 - 1558 . Institutional Repository . ISSN: 0022-2518
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
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 . Institutional Repository . 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 . Institutional Repository . 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 . Institutional Repository . ISSN: 1078-0947
N. Fagella; X. Jarque; K. Lazebnik (2019). Univalent Wandering Domains in the Eremenko-Lyubich Class. Journal d'Analyse Mathematique, 139(1), pp. 369 - 395 . Institutional Repository . ISSN: 0021-7670
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 . Institutional Repository . 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 . Institutional Repository . 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 . Institutional Repository . 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 . Institutional Repository . ISSN: 1078-0947
Fagella, N.; Henriksen, C. (2017). The fine structure of Herman rings. Journal of Geometric Analysis, 27(3), pp. 2381 - 2399 . Institutional Repository . 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 . Institutional Repository . ISSN: 0002-9947
Canela, J.; Fagella, N.; Garijo, A. (2016). Tongues in degree 4 Blaschke products. Nonlinearity, 29, pp. 3464 - 3495 . Institutional Repository . 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 . Institutional Repository . 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 . Institutional Repository . 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 . Institutional Repository . 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 . Institutional Repository . 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 . Institutional Repository . 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 . Institutional Repository . 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 . Institutional Repository . 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 . Institutional Repository . 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 . Institutional Repository . 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 . Institutional Repository . 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 . Institutional Repository . ISSN: 0024-6115
Nuria Fagella (2008). Invariants en dinàmica complexa. Butlletí de la Societat Catalana de Matemàtiques, 23(1), pp. 29 - 51 . Institutional Repository . 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 . Institutional Repository . 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 . Institutional Repository . 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 . Institutional Repository . 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 . Institutional Repository . ISSN: 0143-3857
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 . Institutional Repository . 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
Baranski, K.; Fagella, N. (2001). Univalent Baker domains. Nonlinearity, 14, pp. 411 - 429 . ISSN: 0951-7715
Branner, B.; Fagella, N. (2001). Extensions of homeomorphisms of the Mandelbrot Set. Conformal Geometry and Dynamics , 5, pp. 100 - 139 . ISSN: 1088-4173
Fagella, N. Llibre, J. (2000). Periodic points of holomorphic maps via Lefschetz numbers. Transactions of the American Mathematical Society, 352, pp. 4711 - 4730 . Institutional Repository . ISSN: 0002-9947
Alsedà, Ll.; Fagella, N. (2000). Dynamics on Hubbard Trees. Fundamenta Mathematicae, 164, pp. 115 - 141 . ISSN: 0016-2736
Fagella, N. (2000). El conjunt de Mandelbrot i altres plans de bifurcació. Butlletí de la Societat Catalana de Matemàtiques, 15(1), pp. 35 - 54 . Institutional Repository . ISSN: 0214-316X
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

Ph.D. Thesis

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 (Ph.D. Thesis) . Universitat de Barcelona.
Asli Deniz . (2013) . Entire tanscendental maps with two singular values (European Ph.D.) . Universitat de Barcelona (joint Roskilde University).
David Martí Pete . (2011) . Dynamic rays for transcendental holomorphic self-maps of $\mathbb C$ and $\mathbb C^*$ (Master's Thesis) . Universitat de Barcelona.
Jordi Taixés Ventosa . (2011) . Connectivity of Julia sets of transcendental meromorphic functions (European Ph.D.) . Universitat de Barcelona.

Teaching imparted

Probabilitats i Estadística (Bachelor's degree) - Ingeniería Informática - Universidad de Barcelona.
Anàlisi Matemàtica (Bachelor's degree) - Matemáticas - Universidad de Barcelona.
Treball de Fi de Carrera (Technical Engineering) - Informática de Sistemas - Universidad de Barcelona.
Probabilitats (Bachelor's degree) - Matemáticas - Universidad de Barcelona.
Fonaments Històrics, Metodològics i d'Aplicació dels Continguts de Matemàtiques (University Master's Degree) - Formación del Profesorado de Secundaria Obligatoria y Bachillerato, Formación Profesional y Enseñanza de Idiomas - Universidad de Barcelona.
Topologia i Geometria Global de Superfícies (Bachelor's degree) - Matemáticas - Universidad de Barcelona.
Introducció al Càlcul Diferencial (Bachelor's degree) - Matemáticas - Universidad de Barcelona.
Anàlisi de Dades i Introducció a la Probabilitat (Bachelor's degree) - Matemáticas - Universidad de Barcelona.
Treballs Acadèmicament Dirigits (Llicenciatura degree) - Matemáticas - Universidad de Barcelona.
Equacions Diferencials (Bachelor's degree) - Matemáticas - Universidad de Barcelona.
Treball fi de grau (Bachelor's degree) - Matemáticas - Universidad de Barcelona.
Estadística (Bachelor's degree) - Matemáticas - Universidad de Barcelona.
Anàlisi Complexa (Bachelor's degree) - Matemáticas - Universidad de Barcelona.
Equacions Algebraiques (Bachelor's degree) - Matemáticas - Universidad de Barcelona.
Models Matemàtics i Sistemes Dinàmics (Bachelor's degree) - Matemáticas - Universidad de Barcelona.
Sistemes Dinàmics (University Master's Degree) - Matemàtica Avançada - Universidad de Barcelona.
Càlcul (Bachelor's degree) - Ingeniería Informática - Universidad de Barcelona.
Elements de Programació (Technical Engineering) - Informática de Sistemas - Universidad de Barcelona.
Equacions Diferencials (Llicenciatura degree) - Matemáticas - Universidad de Barcelona.
Funcions Analítiques (Llicenciatura degree) - Matemáticas - Universidad de Barcelona.
Projecte Final d'Estudis (University Master's Degree) - Matemática Avanzada y Profesional - Universidad de Barcelona.
Sistemes Dinàmics (University Master's Degree) - Matemática Avanzada y Profesional - Universidad de Barcelona.
Treballs Acadèmicament Dirigits (Llicenciatura degree) - Matemáticas - Universidad de Barcelona.

More Information: Research webpage (http://www.maia.ub.es/~fagella)