Curriculum Vitae
May 6, 2021Abraham Rueda Zoca
[email protected]Personal Data
Name: Abraham Rueda Zoca Birth date: May 24th 1991. Birth place: Ja´en, Ja´en (Spain).
Address: Universidad de Murcia. Facultad de Matem´aticas. 30100 Murcia, Murcia (Spain) email: [email protected]
Personal webpage: https://arzenglish.wordpress.com
Education
PhD in Physics and Mathematics, Universidad de Granada (September 16th, 2019). Supervisors: Gin´es L´opez-P´erez and Julio Antonio Becerra Guerrero.
Title: Geometry of Banach spaces with diameter two properties and octahedral norm. Sobresaliente Cum Laude and International PhD Mention.
Final Master Degree Thesis, Universidad de Granada, 2015. Title: Propiedades de di´ametro dos en espacios de Banach. Supervisors: Gin´es L´opez-P´erez and Julio Antonio Becerra Guerrero. Master Degree in Physics and Mathematics, Universidad de Granada, 2014-2015. Degree in Mathematics, Universidad de Granada (Spain), 2009-2014.
Funding
Posdoctoral Fellowship Juan de la Cierva-Formaci´on FJC2019-039973-I. January 1st 2021-Present. Contrato puente of Vicerrectorado de Investigaci´on y Transferencia. September 17th, 2019-March
16th, 2020.
Predoctoral Fellowship MEC (Spain) FPU2016/00015, October 1st 2017-September 16th, 2019. Predoctoral Fellowship Contratos predoctorales FPU del Plan Propio del Vicerrectorado de
Investigaci´on y Transferencia de la Universidad de Granada, December 1st 2016-September 30th 2017.
MINECO (Spain) Grant MTM2015-65020-P, January 2017-Present. Junta de Andaluc´ıa Grant FQM-0185, March 2017-Present.
Junta de Andaluc´ıa Grant FQM-0199, September 2014-March 2017.
Grants and awards
Juan de la Cierva-Formaci´on contract
– Aim: Postdoc contract at University of Murcia.
– Funder: Vicerrectorado de Investigaci’on y Transferencia. – Duration: January 1st 2021-December 31st 2022.
– Supervisor: Antonio Avil´es L´opez. Award
– Aim: Recognition of research activity of youg researchers (less than or equal to 28 years old). – Funder: Academia de Ciencias Matem´aticas, F´ısico-Qu´ımicas y Naturales.
– Date: November 14th, 2019. Contrato puente
– Aim: Postdoc contract at University of Granada.
– Funder: Vicerrectorado de Investigaci’on y Transferencia. – Duration: September 17th, 2019-March 16th, 2020. – Supervisor: Gin´es L´opez-P´erez.
MEC FPU2016/00015
– Aim: PhD research fellowship for getting the PhD degree.
– Funder: Ministerio de Educaci´on, Cultura y Deporte, Gobierno de Espa˜na. – Duration: October 2017-September 16th, 2019.
– Supervisor: Gin´es L´opez-P´erez.
FPU Plan Propio de la Universidad de Granada.
– Aim: PhD research fellowship for getting the PhD degree.
– Funder: Vicerrectorado de Investigaci´on y Transferencia of the Universidad de Granada. – Duration: December 2016-September 2017.
– Supervisor: Gin´es L´opez-P´erez. Grant for an international stay
– Aim: Grant for supporting an international stay to PhD students to get the international PhD Thesis.
– Funder: Vicerrectorado de Investigaci´on y Transferencia and Vicerrectorado de
Internacionalizaci´on de la Universidad de Granada, Escuela Internacional de Posgrado de la Universidad de Granada and Campus de Excelencia Internacional (CEI) Bio Tic de la Universidad de Granada.
– Hosting institution: Laboratoire de Math´ematiques de Besan¸con, Besan¸con (France). – Hosting supervisor: Gilles Lancien.
– Project title: Some geometrical properties on Lipschitz spaces. – Special award: Cei Bio Tic mention.
– Local supervisors: Gin´es L´opez-P´erez and Julio Antonio Becerra Guerrero. Beca de colaboraci´on.
– Aim: National grant of the Spanish goverment to introduce undergraduated student to research.
– Funder: Ministerio de Educaci´on, Cultura y Deporte, Gobierno de Espa˜na. – Duration: December 1st 2013-July 30th 2014.
– Supervisor: Gin´es L´opez-P´erez.
Publications
Preprints
Sheldon Dantas and Abraham Rueda Zoca, A characterization of a local vector valued Bollob´as theorem.
Antonio Avil´es, Gonzalo Mart´ınez-Cervantes and Abraham Rueda Zoca, A renorming characterization of Banach spaces containing `1(κ).
S. Dantas, L. Garc´ıa-Lirola, M. Jung and A. Rueda Zoca, On norm-attainment in (symmetric) tensor products.
A. Rueda Zoca, A characterisation of L1-preduals in terms of extending Lipschitz maps.
Antonio Avil´es, Gonzalo Mart´ınez-Cervantes and Abraham Rueda Zoca, L-orthogonal elements and L-orthogonal sequences.
Antonio Avil´es, Gonzalo Mart´ınez-Cervantes, Jose David Rodr´ıguez-Abell´an and Abraham Rueda Zoca, Free Banach lattices generated by a lattice and projectivity.
Sheldon Dantas, Mingu Jung and Abraham Rueda Zoca, Daugavet points in projective tensor products.
Abraham Rueda Zoca, L-orthogonality in Daugavet centers and narrow operators.
Miguel Mart´ın and Abraham Rueda Zoca, Daugavet property in projective symmetric tensor products of Banach spaces.
A. Rueda Zoca, Some results on isometric composition operators on Lipschitz spaces. A. Rueda Zoca, Stability results of octahedrality in tensor product spaces.
Articles in press
Sheldon Dantas, Mingu Jung, ´Oscar Rold´an and Abraham Rueda Zoca, Norm-attaining nuclear operators, to be formally accepted in Mediterr. J. Math.
Mingu Jung and Abraham Rueda Zoca, Daugavet points and ∆-points in Lipschitz-free spaces, to appear in Studia Math.
Sheldon Dantas, Gonzalo Mart´ınez-Cervantes, Jos´e David Rodr´ıguez-Abell´an and Abraham Rueda Zoca, Norm-attaining lattice homomorphisms, to appear in Rev. Mat. Iberoamericana. R. Chiclana, L. C. Garc´ıa-Lirola, M. Mart´ın and A. Rueda Zoca, Examples and applications of
the density of strongly norm attaining Lipschitz maps, to appear in Rev. Mat. Iberoamericana. A. Rueda Zoca, P. Tradacete and I. Villanueva, Daugavet property in tensor product spaces, to
appear in J. Inst. Math. Jussieu. 2021
G. L´opez-P´erez and A. Rueda Zoca, L-orthogonality, octahedrality and Daugavet property in Banach spaces, Adv. Math. 383 (2021), 107719.
Rainis Haller, Johann Langemets, Vegard Lima, Rihhard Nadel and Abraham Rueda Zoca, On Daugavet indices of thickness, J. Funct. Anal. 280, 7 (2021), article 108846.
Sheldon Dantas, Gonzalo Mart´ınez-Cervantes, Jos´e David Rodr´ıguez-Abell´an and Abraham Rueda Zoca, Octahedral norms in free Banach lattices, RACSAM 115 (2021), article 6. 2020
R. J. Aliaga and A. Rueda Zoca, Points of differentiability of the norm in Lipschitz-free spaces, J. Math. Anal. Appl. 489, 2 (2020), 124171.
J. Langemets and A. Rueda Zoca, Octahedral norms in duals and biduals of Lipschitz-free spaces, J. Funct. Anal. 279, 3 (2020), 108557.
A. Rueda Zoca, Almost squareness and strong diameter two property in tensor product spaces, RACSAM 114 (2020), 84.
2019
G. L´opez-P´erez, M. Mart´ın and A. Rueda Zoca, Strong diameter two property and convex combination of slices reaching the unit sphere, Medit. J. Math 16 (2019), 122.
B. Cascales, R. Chiclana, Luis C. Garc´ıa-Lirola, M. Mart´ın and A. Rueda Zoca, On strongly norm attaining Lipschitz maps, J. Funct. Anal. 277 (2019), 1677-1717.
A. Rueda Zoca, Stability results of octahedrality in tensor product spaces and finite representability in `1, Quarterly J. Math. 70, 1 (2019), 1–5.
G. L´opez-P´erez and A. Rueda Zoca, Diameter two properties and polyhedrality, RACSAM 113, 1 (2019), 131–135.
2018
J. Becerra Guerrero, G. L´opez-P´erez and A. Rueda Zoca, Diametral diameter two properties in Banach spaces, J. Conv. Anal. 25 3 (2018), 817–840.
L. Garc´ıa-Lirola, A. Proch´azka and A. Rueda Zoca, A characterisation of the Daugavet property in spaces of Lipschitz functions, J. Math. Anal. Appl. 464, 1 (2018), 473–492.
J. Becerra Guerrero, G. L´opez-P´erez and A. Rueda Zoca, Octahedrality in Lipschitz-free Banach spaces, Proc. Roy. Soc. Edin. Sect. A. Math. 148 3 (2018), 447–460.
A. Proch´azka and A. Rueda Zoca, A characterisation of octahedrality in Lispchitz-free spaces, Ann. Inst. Fourier (Grenoble) 68 2 (2018), 569–588.
L. Garc´ıa-Lirola, C. Petitjean, A. Proch´azka and A. Rueda Zoca, Extremal structure and duality of Lipschitz free spaces, Mediterr. J. Math. (2018) 15: 69.
https://doi.org/10.1007/s00009-018-1113-0
A. Rueda Zoca, Daugavet property and separability in Banach spaces, Banach J. Math. Anal. 12, 1 (2018), 68-84.
2017
J. Langemets, V. Lima and A. Rueda Zoca, Octahedral norms in tensor products of Banach spaces, The Quarterly J. Math. 68, 4 (2017), 1247-1260.
L. Garc´ıa-Lirola, C. Petitjean and A. Rueda Zoca, On the structure of spaces of vector-valued Lipschitz functions, Studia Math 239 (3) (2017), 249-271.
J. Langemets, V. Lima and A. Rueda Zoca, Almost square and octahedral norms in tensor products of Banach spaces, RACSAM 111 (2017), 841-853.
Luis Garc´ıa-Lirola and A. Rueda Zoca, Unconditional almost squareness and applications to spaces of Lipschitz functions, J. Math. Anal. Appl. 451 1 (2017), 117-131.
J. Becerra Guerrero, G. L´opez-P´erez and A. Rueda Zoca, Lipschitz slices versus linear slices in Banach spaces, Proc. of the AMS 145, 4 (2017), 1699-1708.
2016
J. Becerra Guerrero, G. L´opez-P´erez and A. Rueda Zoca, Subspaces of Banach spaces with big slices, Banach J. Math. Anal. 10, 4 (2015), 771-782.
J. Becerra Guerrero, G. L´opez-P´erez and A. Rueda Zoca, Some results on almost square Banach spaces, J. Math. Anal. Appl. 438 (2016), 1030-1040.
2015
J. Becerra Guerrero, G. L´opez-P´erez and A. Rueda Zoca, Diameter two properties in James spaces, Banach J. Math. Anal. 9, 4 (2015), 203-220.
J. Becerra Guerrero, G. L´opez-P´erez and A. Rueda Zoca, Big slices versus big relatively weakly open subsets in Banach spaces, J. Math. Anal. Appl. 428 (2015), 855-865.
J. Becerra Guerrero, G. L´opez-P´erez and A. Rueda Zoca, Octahedral norms in spaces of operators, J. Math. Anal. Appl. 427 (2015), 171-184.
J. Becerra Guerrero, G. L´opez-P´erez and A. Rueda Zoca, Extreme differences between weakly open subsets and convex combination of slices in Banach spaces, Adv. Math 269 (2015), 56-70. 2014
J. Becerra Guerrero, G. L´opez-P´erez and A. Rueda Zoca, Octahedral norms and convex combination of slices in Banach spaces, J. Funct. Anal. 266 (2014), 2424-2436.
Stays
2019 Stay.
– Hosting institution: Universidad Complutense de Madrid. – Hosting researcher: Ignacio Villanueva.
– Date: February 11th 2019-February 11th 2019. 2018
Stay.
– Hosting institution: Instituto de Ciencias Matem´aticas (ICMAT), Madrid (Spain). – Hosting researcher: Pedro Tradacete.
– Date: June 25th 2018-June 29th 2018. Stay.
– Hosting institution: Departamento de Matem´aticas, Facultad de Matem´aticas, Universidad de Murcia, Murcia (Spain).
– Hosting researcher: Mat´ıas Raja Ba˜no. – Date: May 7th 2018-May 12th 2018. 2017
Stay.
– Hosting institution: University of Tartu, Tartu (Estonia). – Hosting researcher: Rainis Haller.
– Date: September 17th 2017-September 23rd 2017. Stay.
– Hosting institution: Laboratoire de Math´ematiques de Besan¸con, Besan¸con (France). – Hosting researcher: Anton´ın Proch´azka.
– Date: June 12th 2017-June 24th 2017. Stay.
– Hosting institution: Departamento de Matem´aticas, Facultad de Matem´aticas, Universidad de Murcia, Murcia (Spain).
– Hosting researcher: Mat´ıas Raja Ba˜no. – Date: February 12th 2017-February 17th 2017. 2016
Stay.
– Hosting researcher: Gilles Lancien. – Date: March 23rd 2016-June 22nd 2016.
Invited conferences and seminars
2020
Seminar.
– Title: ∆- and Daugavet points in Lipchitz-free spaces.
– Name of the seminar: Functional Analysis Seminar of the Institute of Mathematics and Statistics, University of Tartu.
– Place: Webminar.
– Date: December 4th, 2020. – Duration: 90 mins. Seminar.
– Title: Propiedad de Daugavet en tensor proyectivo.
– Name of the seminar: Seminario de An´alisis Funcional del Departamento de Matem´atica de la Facultad de Ciencias Exactas y Naturales de la Universidad de Buenos Aires.
– Place:Webminario. – Date: July 17th, 2020. – Duration: 45 mins. Congress.
– Title: Strong norm attainment and applications.
– Name of the congress: V Congreso de J´ovenes Investigadores de la RESME. – Place: Universitat Jaume I, Castell´o (Spain).
– Date: January 27th, 2020. – Duration: 25 mins. 2019
Seminar.
– Title: Propiedad de Daugavet en tensor proyectivo.
– Name of the seminar: Seminario de j´ovenes investigadores en Matem´aticas – Institution: IEMath-Gr, Granada (Spain).
– Date: October 30th 2019. – Duration: 45 mins. Congress.
– Title: Normas octaedrales en productos tensoriales de espacios de Banach.
– Place: BCAM, Bilbao (Spain). – Date: March 7th 2019.
– Duration: 30 mins. 2018
Poster
– Title: Stability results of octahedrality in tensor product spaces and finite representability in `1.
– Name of the congress: XVI Encuentros de An´alisis Funcional Murcia-Valencia. – Institution: Universidad de Murcia (Spain).
– Date: December 13th 2018. Seminar.
– Title: Estructura extremal en espacios Lipschitz libres y aplicaciones. – Name of the seminar: Colloquium de An´alisis Matem´atico.
– Institution: Universidad Complutense de Madrid (Spain). – Date: June 28th 2018.
– Duration: 50 mins. 2017
Congress.
– Title: A metric characterisation of Daugavet property in Lipschitz free spaces. – Name of the congress: 5th Workshop on Functional Analysis.
– Institution: Universitat Polit`ecnica de Valencia (Spain). – Date: October 18th 2017.
– Duration: 20 mins. Seminar.
– Title: Metric characterisation of octahedrality in free spaces. – Name of the seminar: Seminar of Geometry of Banach spaces – Institution: University of Tartu, Tartu (Estonia).
– Date: September 22nd 2017. – Duration: 60 mins.
Seminar.
– Title: UASQ Banach spaces and applications to non-duality. – Name of the seminar: Seminar of Geometry of Banach spaces – Institution: University of Tartu, Tartu (Estonia).
– Date: September 21st 2017. – Duration: 80 mins.
– Title: A renorming theorem for ASQ Banach spaces.
– Name of the seminar: Seminar of Geometry of Banach spaces – Institution: University of Tartu, Tartu (Estonia).
– Date: September 18th 2017. – Duration: 70 mins.
Congress.
– Title: Preservance of octahedrality and strong diameter two property by tensor product spaces. – Name of the congress: Septi `mes journ´ees Besan¸con-Neuchˆtel d’analyse fonctionnelle
– Institution: Laboratoire de Math´ematiques de Besan¸con (LMB), Besan¸con (France). – Date: June 21st 2017.
– Duration: 20 mins. Seminar.
– Title: Caracterizaci´on de octahedralidad en espacios libres reales. – Name of the seminar: Seminario Rey Pastor.
– Institution: Facultad de Matem´aticas, Universidad de Murcia, Murcia (Spain). – Date: February 14th 2017.
– Duration: 45 mins. Seminar.
– Title: Slices lineales versus Lipschitz slices.
– Name of the seminar: Seminario de j´ovenes investigadores en Matem´aticas – Institution: IEMath-Gr, Granada (Spain).
– Date: February 6th 2017. – Duration: 45 mins. 2016
Seminar.
– Title: Espacios libres vector-valuados.
– Name of the seminar: Seminario del departamento de An´alisis Matem´atico de la Universidad de Granada
– Institution: Facultad de Ciencias, Universidad de Granada, Granada (Spain). – Date: October 20th 2016.
– Duration: 50 mins. Congress.
– Title: Diameter two properties, octahedrality and almost squareness in tensor product spaces. – Name of the congress: Sixi`emes journ´ees “Besan¸con-Neuchˆatel” d’ Analyse Fonctionnelle. – Place: Laboratoire de Math´ematiques de Besan¸con (LMB), Besan¸con (France).
– Date: May 26th 2016. – Duration: 50 mins.
Seminar.
– Title: Octahedrality in Lipschitz-free Banach spaces.
– Name of the seminar: S´eminaire d’ Analyse Fonctionnelle.
– Institution: Laboratoire de Math´ematiques de Besan¸con (LMB), Besan¸con (France). – Date: Aplir 5th 2016.
– Duration: 50 mins. Congress.
– Title: Normas octahedrales y propiedades de di´ametro dos.
– Name of the congress: XII Encuentro de la Red de An´alisis Funcional y sus Aplicaciones. – Place: C´aceres (Spain).
– Date: March 3rd 2016. – Duration: 20 mins. 2015
Seminar.
– Title: Un teorema de renormaci´on para espacios de Banach ASQ.
– Name of the seminar: Seminario de j´ovenes investigadores en Matem´aticas – Institution: IEMath-Gr, Granada (Spain).
– Date: December 14th 2015. – Duration: 45 mins.
Editorial work
Reviewer for Zentralblatt Math and Mathematical Reviews.
Workshops and congresses
2014
Workshop.
– Aim: Preparation of a talk by undergraduate students in a research topic under the supervision of an experimented researcher.
– Name of the workshop: IV Escuela-Taller de la Red de An´alisis Funcional y sus Aplicaciones.
– Title: Aplicaciones lineales que preservan las funciones ortogonales. – Supervisor: Antonio Peralta.
– Co-authors: S`onia Barahona Albiol, Rub´en Blasco Garc´ıa, David D´ıaz Mellado, Juan Luis Dur´an Batalla and Laura Mart´ın Valverde.
– Date: March 3rd 2014-March 6th 2014. 2013
Workshop.
– Aim: Preparation of a talk by undergraduate students in a research topic under the supervision of an experimented researcher.
– Name of the workshop: III Escuela-Taller de la Red de An´alisis Funcional y sus Aplicaciones.
– Title: L´ımites en espacios de Banach. – Supervisor: Jes´us M.F. Castillo.
– Co-authors: Miquel Cuenca Ten, Alba G´omez Pach´on, Jes´us Oc´ariz Gallego and Mercedes Prado Rodr´ıguez.
– Date: April 9th 2013-April 13th 2013.
Languages
Spanish: Mother language.
English: First Certificate in English by the Cambridge University with grade B, 2015. French: Elementary knownledge.
