Juan Carlos Naranjo Del Val

Juan Carlos Naranjo Del Val

Associate professor

ORCID: 0000-0003-1989-4924
Knowledge area: Geometria i Topologia

Research group: Algebra i Geometria Algebraica (AGA)

Teaching Innovation Groups: Innovació Docent en Matemàtiques i Informàtica

Contact Information
Department of Mathematics and Computer Science
Gran Via de les Corts Catalanes, 585.
934021608
jcnaranjo(a)ub.edu

Academic training

Matemáticas . Universidad de Barcelona . 07/1985 . (Diploma / Degree / Activities)
Matemáticas . Universidad de Barcelona . 11/1990 . (Ph.D.)

Imparted Teaching (last 10 years)

Geometria Projectiva (Bachelor's degree) - Matemáticas - Universidad de Barcelona.
Geometria Diferencial de Corbes i Superfícies (Bachelor's degree) - Matemáticas - Universidad de Barcelona.
Corbes Algebraiques (University Master's Degree) - Matemàtica Avançada - Universidad de Barcelona.
Varietats Algebraiques (Bachelor's degree) - Matemáticas - Universidad de Barcelona.
Complements de Formació en Matemàtiques (University Master's Degree) - Formació del Professorat d'Educació Secundària Obligatòria i Batxillerat, Formació Professional i Ensenyament d'Idiomes - Universidad de Barcelona.
Introducció a la Geometria Algebraica (University Master's Degree) - Màster de Matemàtica Avançada - Universidad de Barcelona.

Participation in Projects

Geometría 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 Val
Regulators III . 2009 - 2010 . Ref.MTM2009-06450-E/MTM . Ministerio de Ciencia e Innovación (MICINN) . PI: Juan Carlos Naranjo del Val
Geometría algebraica, simpléctica y aritmética . 2013 - 2015 . Ref.MTM2012-38122-C03-02 . Ministerio de Economia y Competitividad . PI: Martin a. Sombra
Variedades Algebraicas, Lineales y Diferenciables, Aritmética y Móduli . 2016 - 2019 . Ref.MTM2015-65361-P . Ministerio de Economia y Competitividad . PI: Ignasi Mundet Riera
Finançament de la Fundació Compositio per a l'organització del congrés 'Workshop in Complex Algebraic Geometry' . 2018 - 2018 . Ref.UP000527 . Foundation Compositio Mathematica . PI: Juan Carlos Naranjo del Val
learninG, pRocessing, And oPtimising shapES (GRAPES) . 2019 - 2023 . Ref.860843 . Unió Europea . PI: Carlos Antonio d'Andrea
Geometría Algebraica, Lineal y diferencial. Teoría y Aplicaciones . 2020 - 2024 . Ref.PID2019-104047GB-I00 . Ministerio de Ciencia, Innovación y Universidades . PI: Carlos Antonio d'Andrea; Marti Lahoz Vilalta

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

Barja, M.A.; Lahoz, M.; Naranjo, J.C.; Pareschi, G. (2012). On the bicanonical map of irregular varieties. Journal of Algebraic Geometry, 21, pp. 445 - 471 . Institutional Repository . ISSN: 1056-3911
Lahoz, M.; Naranjo, J.C. (2013). Theta-duality on Prym varieties and a Torelli Theorem. Transactions of the American Mathematical Society . Institutional Repository . ISSN: 0002-9947
Marcucci, V.; Naranjo, J.C. (2014). Prym varieties of double coverings of elliptic curves. International Mathematics Research Notices, 2014(6), pp. 1689 - 1698 . https://doi.org/10.1093/imrn/rns271 . ISSN: 1073-7928
Marcucci, V.; Naranjo, J.C. ; Pirola G.P. (2015). Isogenies of Jacobians. Algebraic Geometry, 3(4), pp. 424 - 440 . Institutional Repository . ISSN: 2214-2584
Martinelli, D.; J.C. Naranjo; Pirola, G.P. (2017). Connectedness Bertini Theorem via numerical equivalence. Advances in Geometry, 17(1), pp. 31 - 38 . https://doi.org/10.1515/advgeom-2016-0028 . ISSN: 1615-715X
Barja, M.A.; González-Alonso, V.; Naranjo, J.C. (2018). Xiao's conjecture for general fibred surfaces. Journal für die Reine und Angewandte Mathematik(739), pp. 297 - 308 . https://doi.org/10.1515/crelle-2015-0080 . ISSN: 0075-4102
Naranjo, J.C.; Ortega, A.; Verra, A. (2019). Generic injectivity of the Prym map for double ramified coverings. Transactions of the American Mathematical Society, 371(5), pp. 3627 - 3646 . https://doi.org/10.1090/tran/7459 . ISSN: 0002-9947
Favale, F.; Naranjo, J.C.; Pirola, G.P. (2018). On the Xiao conjecture for plane curves. Geometriae Dedicata, 195(1), pp. 193 - 201 . Institutional Repository . ISSN: 0046-5755
J.C. Naranjo; G.P. Pirola (2018). Hyperelliptic Jacobians and isogenies. Advances in Mathematics, 335, pp. 896 - 909 . Institutional Repository . ISSN: 0001-8708
Farkas, G.; Moschetti, R.; Naranjo, J.C.; Pirola, G.P. (2021). Alternating Catalan numbers and cover with triple ramification. Annali della Scuola Normale Superiore di Pisa. Classe di Scienze, XXII(2), pp. 665 - 690 . https://doi.org/10.2422/2036-2145.201909_009 . ISSN: 0391-173X
Colombo. E.; Martin, O: Naranjo, J.C.; Pirola, G.P. (2022). Degree of irrationality of a very general Abelian variety. International Mathematics Research Notices, 2022(11), pp. 8295 - 8313 . https://doi.org/10.1093/imrn/rnaa358 . ISSN: 1073-7928
Naranjo, J.C.; Ortega, A. (2022). Global Prym-Torelli for double coverings ramified in at least 6 points. Journal of Algebraic Geometry, 31, pp. 387 - 396 . https://doi.org/10.1090/jag/779 . ISSN: 1056-3911
Colombo, E.; Naranjo, J.C.; Pirola, G.P. (2021). On the dimension of Voisin sets in the moduli space of abelian varieties. Mathematische Annalen, 381, pp. 91 - 104 . https://doi.org/10.1007/s00208-020-02134-x . ISSN: 0025-5831
Frediani, P.; Naranjo, J.C.; Spelta, I. (2022). The fibers of the ramified Prym map. Communications in Contemporary Mathematics, 24(5), p. 30 pp . https://doi.org/10.1142/S0219199721500309 . ISSN: 0219-1997
Lahoz, M.; Naranjo, J.C.; Rojas, A. (2022). Geometry of Prym semicanonical pencils and an application to cubic threefolds. Mathematische Nachrichten . Publicat online (https://doi.org/10.1142/S0219199721500309) . ISSN: 0025-584X

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

Diletta Martinelli . (2012) . Connectedness results around Bertini's theorem (Master's Thesis) . Università degli Studi di Pavia.
Víctor González Alonso . (2013) . Hodge Numbers of Irregular Varieties and Fibrations (Ph.D. Thesis) . Universitat Politècnica de Catalunya.
Andrés Rojas . (2016) . El porisme de Poncelet (Degree work) . Universitat de Barcelona.
Sergi Baena . (2016) . Generalizations of the hexagramme mystique (Degree work) . Universitat de Barcelona.
Meritxell Sáez Cornellana . (2014) . On low degree curves in C^(2) (Ph.D. Thesis) . Universitat de Barcelona.
Raquel Rius Casado . (2019) . The square peg problem (Degree work) . Universitat de Barcelona.
Irene Spelta . (2020) . Shimura subvarieties of the Torelli locus and Prym maps (Ph.D. Thesis) . Università degli Studi di Pavia.
Jordi Garriga Puig . (2022) . Superfícies cúbiques i corbes quàrtiques (Degree work) . Universitat de Barcelona.
Maria Magdalena Sánchez del Río . (2022) . Geometric foundations of Computer Vision (Degree work) . Universitat de Barcelona.

Conferences and Participations in Congresses (last 10 years)

Naranjo, J.C. (2012). Theta duality on Jacobians and Pryms. (Invited conference) . Workshop on Algebraic Surfaces (KIAS. March 2012) . REPUBLIC OF KOREA
Naranjo, J.C. (2015). Xiao's conjecture for general fibred surfaces. (Invited conference) . Algebraic Surfaces (Lisboa, July 2015) . PORTUGAL
Joan Carles Naranjo (2016). Xiao's conjecture for generic fibred surfaces. (Invited conference) . Birational geometry of surfaces (University of Roma Tor Vergata) from Jan. 11 to Jan. 15, 2016 . Roma . ITALY
J.C. Naranjo (2016). Xiao's conjecture for generic fibres surfaces. (Invited conference) . Giornate di Giometria a la Universita Bicocca (Milano), 18-19 febrer 2016 . Milà . ITALY
J.C. Naranjo (2016). Introduction to Abelian Varieties (10 hours). (Invited conference) . 10 conferències en forma de curs al congrés PRAGMATIC (Catania, 2016) . Catania . ITALY
J.C. Naranjo (2017). On the ramified Prym map. (Invited conference) . Geometry of Jacobians, University of Pavia, April 2017 . Pavia . ITALY
Juan Carlos Naranjo (2017). Xiao conjecture for plane curves. (Invited conference) . Meeting of the Catalan, Spanish, Swedish Math Societies . Umeå . SWEDEN
Juan Carlos Naranjo (2018). Generic Torelli for the Prym map of ramified coverings. (Invited conference) . 7th Iberoamerican Congress on Geometry, Valladolid (Spain), January 22-26, 2018 . Valladolid . SPAIN
J.C. Naranjo (2018). Hyperelliptic Jacobians and Isogenies. (Invited conference) . Differential, Algebraic and Topological Methods in Complex Algebraic Geometry (Cetraro, September 2018) . ITALY
J.C. Naranjo (2018). Hyperelliptic Jacobians and Isogenies. (Invited conference) . Geometry at the Frontier III, 12-16 November 2018 . CHILE
Joan Carles Naranjo (2021). Some new enumerative properties of cubic threefolds via Prym theory. (Invited conference) . Jornada de Jóvenes Doctores en Geometría Algebraica . SPAIN
Nombres de Catalan i Thetes característiques . (Symposi de coordinació del projecte de Geometria Algebraica UB-UPC). 30/01/2015. Sitges (Barcelona). SPAIN
Xiao's conjecture for generic fibred surfaces . (Seminari de Geometria Algebraica de la Humboldt University (Berlín)). 20/04/2016. Berlín. GERMANY
Generic Vanishing Theorems . (10 hores de Master class a la Universitat de Milano). 24/01/2016. Milano. ITALY
Torelli genèric per l'aplicació de Prym de revestiments dobles ramificats . (Seminari de Geometria Algebraica). 30/06/2017. Barcelona. SPAIN
Conjuntos de Voisin en variedades abelianas . (Quinto encuentro conjunto de la RSME y la SMM). 15/06/2021. MEXICO