Nuria Fagella Rabionet

Nuria Fagella Rabionet

Full professor

ORCID: 0000-0002-5466-0579
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

My profile

Researcher in Holomorphic Dynamical Systems, specially those generated by the iteration of holomorphic functions in the complex plane. ICREA Academia 2020 and Chern Professor at MSRI(Berkeley) 2022 ... + info

More Information: Research group (http://www.maia.ub.es/holodyn/)

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)

Imparted Teaching (last 10 years)

Anàlisi Complexa (Bachelor's degree) - Matemáticas - Universidad de Barcelona.
Models Matemàtics i Sistemes Dinàmics (Bachelor's degree) - Matemáticas - Universidad de Barcelona.

Research interests

Holomorphic dynamical systems
Quasiconformal surgery
Numerical methods as dynamical systems
Iteration of transcendental functions

Participation in Projects

Modern Mathematics in Marseille and More . 2023 - 2028 . Ref.AMX-22-IN1-50 . Fondation A*Midex . PI: Dierk Schleicher
Holomorphic Dynamics in one and several complex variables (EMS Summer School 2023) . 2023 - 2023 . European Mathematical Society . PI: Nuria Fagella Rabionet
Grup de Sistemes Dinàmics UB . 2022 - 2025 . Ref.2021 SGR 01072 . Agència de Gestió d'Ajuts Universitaris i de Recerca (AGAUR) . PI: Angel Jorba Monte
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
Estabilidad y caos en iteración holomorfa . 2021 - 2024 . Ref.PID2020-118281GB-C32 . Ministerio de Ciencia, Innovación y Universidades . PI: Nuria Fagella Rabionet
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
Sistemas dinámicos holomorfos . 2018 - 2020 . Ref.MTM2017-86795-C3-3-P . Ministerio de Economía y Competitividad . PI: Nuria Fagella Rabionet
Combinatorics in Transcendental Dynamics (CoTraDy) . 2017 - 2019 . Ref.703269 . Unió Europea . PI: Nuria Fagella Rabionet; Anna Benini
Grup de Sistemes Dinàmics UB . 2017 - 2021 . Ref.2017SGR1374 . Agència de Gestió d'Ajuts Universitaris i de Recerca (AGAUR) . PI: Angel Jorba Monte
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

Relevant publications (Journal Publications and Other publications - last 10 years)

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
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
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)

Direction of Thesis, Minor Thesis and Research Reports (last 10 years)

Alex Rodriguez Reverter . (2021) . Iteration of transcendental functions (Degree work) . Universitat de Barcelona.
Lluís Pastor Pérez . (2021) . Local connectivity of Julia sets (Degree work) . Universitat de Barcelona.
Anna Jové i Campabadal . (2021) . Dynamics on the boundary of Fatou components (Master's Thesis) . Universitat de Barcelona. Dipòsit UB online (http://diposit.ub.edu/dspace/bitstream/2445/180603/2/tfm_jove_campabadal_anna.pdf)
Martí Pedemonte . (2020) . Global dynamics of Newton's method for complex polynomials (Degree work) . Universitat de Barcelona.
Anna Jové i Campabadal . (2020) . The Denjoy-Wolff Theorem, extensions and applications (Degree work) . Universitat de Barcelona.
Àlex Pujol Vidal . (2022) . El conjunt de Mandelbrot: Hiperbolicitat i connectivitat local (Degree work) . Universitat de Barcelona. http://hdl.handle.net/2445/195766
Joan Núñez Corbacho . (2024) . Dynamics of finite Blaschke Products (Degree work) . Universitat de Barcelona.

Conferences and Participations in Congresses (last 10 years)

N. Fagella (2023). Quasiconformal surgery and applications (6h course). (Invited conference) . Simon's Semester: Topological, smooth and holomorphic dynamics, ergodic theory, fractals. IMPAN&MIMUW Warsaw, 1-30 March, 2023 . https://www.impan.pl/en/activities/banach-center/conferences/23-simons-v https://www.impan.pl/en/activities/banach-center/conferences/23-simons-v/programme . Warsaw . POLAND
N. Fagella (2023). Grand Orbit relations in wandering domains. (Invited conference) . The role of wandering domains in holomorphic dynamics. Open University, Milton Keynes, UK, July 19th 2023 . Milton Keynes . ENGLAND
N. Fagella (2023). Bifurcations in complex Dynamics. (Invited conference) . Spanish-Polish Mathematical meeting. Lodtz, Poland, 4-8 Sep. 2023 . https://es-pl.math.uni.lodz.pl/ . Lodtz . POLAND
N. Fagella (2023). Transcendental dynamics and bifurcations (6h course). (Invited conference) . EUR Mint summer school: Facets of Complex Dynamics. Inst. Math. Toulouse, France, 26-30 June, 2023 . https://indico.math.cnrs.fr/event/9500/ . Toulouse . FRANCE
N. Fagella (2023). Local connectivity of Fatou components of meromorphic functions. (Invited conference) . Complex dynamics: Connections to other fields, Checiny, Poland, 27-31 March, 2023 . https://holdyn23.mimuw.edu.pl/connections/ . Checiny . POLAND
Fagella, N. (2022). Bifurcation Loci of Families Finite Type Meromorphic Maps. (Invited conference) . Adventurous Berkeley Complex Dynamics. MSRI, May 2-6, 2022 . https://www.msri.org/workshops/1018 . Berkeley, CA, U . UNITED STATES
Fagella, N. (2022). Bifurcation loci of families of finite type meromorphic maps. (Invited conference) . Journées ANR Fatou. Orleans, June 13-17 2022 . https://fatou.math.cnrs.fr/conf_home.html . Orléans, France. . FRANCE
Fagella, N. (2022). Structural stability in complex dynamics. (Invited conference) . Journées de Dynamique. Sep. 28-30, 2022 . http://journees-de-dynamique.imj-prg.fr/ . París . FRANCE
Fagella, N. (2022). Boundary dynamics for holomorphic sequences, non-autonomous dynamical systems and wandering domains. (Invited conference) . Complex Dynamics in the tropics. Nov 28 - Dec 2 . https://impa.br/eventos-do-impa/2022-2/complex-dynamics-in-the-tropics/ . Rio de Janeiro . BRAZIL
Fagella, N. (2022). The Denjoy-Wolff set: from holomorphic sequences to wandering domains. (Invited conference) . New Trends in Holomorphic Dynamics. Aug 29-Sep 2 . https://sites.google.com/view/hds-cortona-2022/home . Cortona . ITALY
Fagella, N. (2021). Meromorphic maps of finite type: parameter space. (Invited conference) . Advancing Bridges in Complex Dynamics, 20-24 September 2021 . Luminy (Marseille) . FRANCE
Fagella, N. (2020). Wandering domains, in and out. (Invited conference) . Analysis, Dynamics, Geometry and Probability, March 3-7, 2020 . Stony Brook . UNITED STATES
Fagella, N. (2019). Classifying simply connected wandering domains. (Invited conference) . Analytic low-dimensional dynamics: a celebration of Misha Lyubich 60's birthday. Fields Institute, June 2019 . http://www.fields.utoronto.ca/activities/18-19/low-dimensional-dynamics . Toronto . CANADA
Fagella, N. (2019). Shell components in meromorphic parameter spaces. (Invited conference) . Low-dimensional and Complex Dynamics 02 - 06 December 2019 . https://bernoulli.epfl.ch/events/1492 . Lausanne . SWITZERLAND
Fagella, N. (2019). Wandering domains from the inside. (Invited conference) . Dynamical Systems: From geometry to mechanics. Tor Vergata. Feb. 5-8, 2019 . http://www.mat.uniroma2.it/Progetto/bridge2019.php . Roma . ITALY
Fagella, N. (2018). Fatou components of transcendental maps and singularities. (Invited conference) . Resonances of complex dynamics, ICMS Edinburgh, 9-13 July, 2018 . http://www.icms.org.uk/downloads/ComplexResonancesAbstractsLRG(ThisVersion6Jul18).pdf . Edinburgh . UNITED KINGDOM
N. Fagella (2018). Periodic cycles and singular values of entire transcendental functions. (Invited conference) . New Developments in Complex Analysis and Function Theory. Heraklion, Crete, 2-6 July, 2018 . http://www.caft2018.com . Heraklion . GREECE
Iteration in the complex plane: Order and Chaos . (Colloquium Institute Mathematiques du Bordeaux.). 23/02/2023. Bordeaux. FRANCE
Structural stability in complex dynamics . (Seminar in Dynamical Systems at ISTA. https://dynamist.pages.ist.ac.at/). 27/09/2022. Vienna. AUSTRIA
Simply connected wandering domains in complex dynamics . (S\'eminaire de Syst\`emes Dynamiques Institut de Mathématiques de Jussieu-Paris-RG). 14/01/2022. Paris. FRANCE

Other Tasks

Co-editor in chief of the journal Reports@SCM
Deputy director of the Institut de Matemàtica de la UB (IMUB)
Associate Editor of the International Journal of Bifurcation and Chaos. [2 quartil Mathematics, Interdisciplinary Applications. Fac. Imp. 1.501]
Editor of the Butlletí de la Societat Catalana de Matemàtiques