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Full Professor (catedrático) at University of Zaragoza (since 2021).
Full Professor at University of Zaragoza (2001-2020).
Ramón y Cajal Scholar at UCM.
PhD thesis Award (UCM), 1999.
Teaching Assistant and Research Assistant at University Of Illinois at Chicago.
Predoctoral Fellowship FPI,
Member of the Mathematics Institute IUMA.
Coordinator of the Mathematics Master at UNIZAR (2010-2013).
Coordinator of the Graduate Program in Mathematics ans Statistics (2013-).
PhD adviser for 5 PhD. thesis and 4 Master thesis since 2007.
Participation in 14 R&D competitive national programs, 4 of which as a PI.
48 participations in International Conferences or Seminars as invitated speaker.
Organizer of 8 Conferences, funded by I-Math, NSF, Clay Insitute, ESF, among others.
4 international research stays, one of them as a Fulbright Scholar.
Scientific evaluator for the Spanish National R&D since 2011.
Participation in the Editorial Board of Contemporary Mathematics.
Regular referee for research papers in relevant international journals such as Duke Math. J., Proceedings and Transactions of the AMS, J.Singularities or LMS journals.
Member of 5 PhD. thesis committees.
57 research papers, 24 of which in Q1 among which we point out the following:
- Cyclic coverings of rational normal surfaces which are quotients of a product of curves. PUBLICACIONS MATEMATIQUES. 68 - 2, pp. 359 - 406. 2024. (with E.Artal and J.Martín)
- Quasi-projectivity of even artin groups. GEOMETRY & TOPOLOGY. 22-7, pp. 3979-4011. (with R.Blasco) 2018.
- Characteristic varieties of quasi-projective manifolds and orbifolds. GEOMETRY & TOPOLOGY. 17 - 1, pp. 273 - 309. 2013 (with E.Artal and D.Matei).
- Mordell-Weil groups and Zariski triples. Geometry and Arithmetic. pp. 75 - 89. 2012. (with R.Kloosterman)
- Quasi-projectivity, Artin-Tits groups, and pencil maps. Contemporary Math. - AMS 538, pp. 113 - 136. 2011 (with E.Artal and D.Matei)
- A survey on Zariski pairs. Algebraic Geometry in East Asia--Hanoi 2005. Advanced Studies in Pure Mathematics 50. pp- 1-100. AMS. 2012. (with E.Artal and H.Tokunaga)
- Pencils and Infinite Dihedral Covers of p2. Proceedings of the AMS. 136 - 1, pp. 21 - 29. 2008 (with E.Artal and H.Tokunaga)
- Effective Invariants of Braid Monodromy. Transactions of the AMS. 359 - 1, pp. 165 - 183. 2007 (with E.Artal and J.Carmona)
- Topology and Combinatorics of Real Line Arrangements. Compositio Math. 141 - 6, pp. 1578 - 1588. 2005 (with E.Artal, J.Carmona and M.Marco)
- Braid Monodromy and Topology of Plane Curves. Duke Math. J. 118 - 2, pp. 261 - 278. 2003 (with E.Artal and J.Carmona)
- Topological invariants of the complement to arrangements of rational plane curves. Memoirs of the AMS 159-756, 2002.
Areas of interest: Topology of Quasi-projective Varieties, Algebraic and Arithmetic Aspects of Singularity Theory, Zariski Pairs, Ehrhart polynomials, Artin groups and Quasi-projective groups, Normal Surface Singularities. Number of research 6-year periods validated: 4.
Dates of validation: 01/01/2002, 01/01/2008, 01/01/2014 and 01/01/2020.
Number of thesis advised since 2007: 5
Total number of citations: 853 (Google Scholar).
Number of papers in Q1: 24.
h-index: 16.
i10-index: 23.
Journal articles
- Artal Bartolo, Enrique; Cogolludo-Agustín, José Ignacio; Martín-Morales, Jorge. Cyclic coverings of rational normal surfaces which are quotients of a product of curves. PUBLICACIONS MATEMATIQUES. 2024. DOI: 10.5565/PUBLMAT6822402
- Cogolludo-Agustín, José Ignacio; László, Tamás; Martín-Morales, Jorge; Némethi, András. Duality for Poincaré series of surfaces and delta invariant of curves. RESEARCH IN MATHEMATICAL SCIENCES. 2024. DOI: 10.1007/s40687-024-00457-8
- Cogolludo Agustín, José Ignacio; Elduque, Eva. Vanishing of higher order Alexander-type invariants of plane curves. MATHEMATISCHE NACHRICHTEN. 2023. DOI: 10.1002/mana.202100610
- Artal Bartolo, E.; Cogolludo-Agustín, J. I.; Martín-Morales, J. Cyclic branched coverings of surfaces with Abelian quotient singularities. INDIANA UNIVERSITY MATHEMATICS JOURNAL. 2022. DOI: 10.1512/iumj.2022.71.8768
- Artal Bartolo, Enrique; Cogolludo-Agustín, José Ignacio; López de Medrano, Santiago; Matei, Daniel. Module structure of the homology of right-angled Artin kernels. ALGEBRAIC AND GEOMETRIC TOPOLOGY. 2022. DOI: 10.2140/agt.2022.22.2775
- Cogolludo-Agustín, José; László, Tamás; Martín-Morales, Jorge; Némethi, András. Local invariants of minimal generic curves on rational surfaces. CONTEMPORARY MATHEMATICS - AMERICAN MATHEMATICAL SOCIETY. 2022. DOI: 10.1090/conm/778/15660
- Cogolludo-Agustín J.I.; László T.; Martín-Morales J.; Némethi A. Delta invariant of curves on rational surfaces I. An analytic approach. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. 2022. DOI: 10.1142/S0219199721500528
- Blasco García, Rubén; Cogolludo Agustín, José Ignacio; Martínez Pérez, Conchita. On the Sigma-invariants of even Artin groups of FC-type. JOURNAL OF PURE AND APPLIED ALGEBRA. 2022. DOI: 10.1016/j.jpaa.2021.106984
- Blasco García, Rubén; Cogolludo-Agustín, José Ignacio; Martínez Pérez, Concepción María. Homology of even Artin kernels. ALGEBRAIC AND GEOMETRIC TOPOLOGY. 2022. DOI: 10.2140/agt.2022.22.349
- Artal Bartolo, Enrique; Cogolludo-Agustín, José Ignacio; Martín-Morales, Jorge. Cyclic branched coverings of surfaces with abelian quotient singularities. INDIANA UNIVERSITY MATHEMATICS JOURNAL. 2021. DOI: 10.48550/arXiv.1912.08670
- Cogolludo J.I.; Libgober A. Free quotients of fundamental groups of smooth quasi-projective varieties. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY. 2021. DOI: 10.1017/S0013091521000675
- Artal Bartolo, Enrique; Cogolludo-Agustín, José Ignacio; Martín-Morales, Jorge. Triangular curves and cyclotomic Zariski tuples. COLLECTANEA MATHEMATICA. 2020. DOI: 10.1007/s13348-019-00269-y
- Artal Bartolo, Enrique; Cogolludo-Agustín, José Ignacio; Matei, Daniel. Characteristic varieties of graph manifolds and quasi-projectivity of fundamental groups of algebraic links. EUROPEAN JOURNAL OF MATHEMATICS. 2020. DOI: 10.1007/s40879-019-00391-y
- Gil Clemente, M.E.; Cogolludo-Agustín, J.I. The Effectiveness of Teaching Geometry to Enhance Mathematical Understanding in Children with Down Syndrome. INTERNATIONAL JOURNAL OF DISABILITY DEVELOPMENT AND EDUCATION. 2019. DOI: 10.1080/1034912X.2019.1571171
- Martín-Morales, Jorge; Cogolludo-Agustín, José Ignacio. The correction term for the Riemann–Roch formula of cyclic quotient singularities and associated invariants. REVISTA MATEMATICA COMPLUTENSE. 2018. DOI: 10.1007/s13163-018-0280-7
- Artal Bartolo, E.; Cogolludo-Agustín, J.I.; Martín-Morales, J. Wirtinger curves, Artin groups, and hypocycloids. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS, FISICAS Y NATURALES - SERIE A: MATEMATICAS. 2018. DOI: 10.1007/s13398-017-0437-0
- Blasco-García, R.; Cogolludo-Agustín, J.I. Quasi-projectivity of even artin groups. GEOMETRY & TOPOLOGY. 2018. DOI: 10.2140/gt.2018.22.3979
- Artal Bartolo, E.; Cogolludo-Agustín, J. I.; Guerville-Ballé, B.; Marco-Buzunáriz, M. An arithmetic Zariski pair of line arrangements with non-isomorphic fundamental group. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS, FISICAS Y NATURALES - SERIE A: MATEMATICAS. 2017. DOI: 10.1007/s13398-016-0298-y
- Artal Bartolo, Enrique Manuel; Cogolludo-Agustín, José Ignacio; Libgober, A. Albanese varieties of cyclic covers of the projective plane and orbifold pencils. NAGOYA MATHEMATICAL JOURNAL. 2017. DOI: 10.1017/nmj.2016.54
- Cogolludo Agustín, José Ignacio; Martín Morales, Jorge; Ortigas Galindo, Jorge. Numerical adjunction formulas for weighted projective planes and lattice points counting. KYOTO JOURNAL OF MATHEMATICS. 2016. DOI: 10.1215/21562261-3600184
- Artal Bartolo, Enrique; Cogolludo-Agustín, José Ignacio; Matei, Daniel. Arrangements of hypersurfaces and Bestvina-Brady groups. GROUPS, GEOMETRY, AND DYNAMICS. 2015. DOI: 10.4171/GGD/307
- Artal Bartolo, E.; Cogolludo-Agustín, J. I.; Ortigas-Galindo, J. Kummer covers and braid monodromy. JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU. 2014. DOI: 10.1017/S1474748013000297
- Artal Bartolo, Enrique; Cogolludo Agustín, José Ignacio; Libgober, A. Depth of cohomology support loci for quasi-projective varieties via orbifold pencils. REVISTA MATEMATICA IBEROAMERICANA. 2014. DOI: 10.4171/RMI/785
- Cogolludo Agustin, José Ignacio; Libgober, Anatoly. Mordell-Weil groups of elliptic threefolds and the Alexander module of plane curves. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK. 2014. DOI: 10.1515/crelle-2012-0096
- Cogolludo-Agustín, J. I.; Martín-Morales, J.; Ortigas-Galindo, J. Local invariants on quotient singularities and a genus formula for weighted plane curves. INTERNATIONAL MATHEMATICS RESEARCH NOTICES. 2014. DOI: 10.1093/imrn/rnt052
- Artal Bartolo, E.;Cogolludo-Agustín, J. I.;Matei, D. Characteristic varieties of quasi-projective manifolds and orbifolds. GEOMETRY & TOPOLOGY. 2013. DOI: 10.2140/gt.2013.17.273
- Artal Bartolo, E. ;Cogolludo-Agustín, J. I.;Matei, D. Orbifold groups, quasi-projectivity and covers. JOURNAL OF SINGULARITIES. 2012. DOI: 10.5427/jsing.2012.5c
- Artal Bartolo, Enrique; Cogolludo Agustin, José Ignacio; Ortigas-Galindo, Jorge. Computation-free presentation of the fundamental group of generic (p,q)-torus curves. ALGEBRAIC AND GEOMETRIC TOPOLOGY. 2012. DOI: 10.2140/agt.2012.12.1265
- Cogolludo-Agustin, J. I.; Matei, D. Cohomology algebra of plane curves, weak combinatorial type, and formality. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. 2012. DOI: 10.1090/S0002-9947-2012-05489-4
- Artal Bartolo, E.; Cogolludo Agustin, J.I.; Matei, D. Quasi-projectivity, Artin-Tits groups, and pencil maps. CONTEMPORARY MATHEMATICS - AMERICAN MATHEMATICAL SOCIETY. 2011
- Cogolludo Agustín, José Ignacio. BRAID MONODROMY OF ALGEBRAIC CURVES. ANNALES MATHEMATIQUES BLAISE PASCAL. 2011
- Artal Bartolo, Enrique; Cogolludo Agustín, José Ignacio. On the connection between fundamental groups and pencils with multiple fibers. JOURNAL OF SINGULARITIES. 2010. DOI: 10.5427/jsing.2010.2a
- Artal Bartolo, E.;Cogolludo,J. I.;Tokunaga,H. Pencils and infinite dihedral covers of P^2. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. 2008
- Artal Bartolo, E.;Carmona Ruber, J.;Cogolludo Agustin, J. I. Effective Invariants of Braid Monodromy. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. 2007
- Cogolludo Agustin, J. I.;Florens,V. Twisted Alexander Polynomials of Plane Algebraic Curves. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES. 2007
- Artal Bartolo, E.;Cogolludo, J. I.;Tokunaga, H. O. Nodal degenerations of plane curves and galois covers. GEOMETRIAE DEDICATA. 2006
- Artal, E.;Carmona, J.;Cogolludo, J.I.;Marco, M. Topology and Combinatorics of Real Line Arrangements. COMPOSITIO MATHEMATICA. 2005. DOI: 10.1112/S0010437X05001405
- Artal Bartolo, Enrique;Carmona Ruber, Jorge;Cogolludo Agustin, Jose Ignacio. Essential coordinate components of characteristic varieties. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY. 2004
- Artal Bartolo, E. ;Carmona Ruber, J.;Cogolludo Agustin, J. I. Braid Monodromy and Topology of Plane Curves. DUKE MATHEMATICAL JOURNAL. 2003
- Cogolludo-Agustin, J.I. Topological invariants of the complement to arrangements of rational plane curves. MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. 2002
- Artal Bartolo, E.;Carmona, J.;Cogolludo Agustín, J.I.; Tokunaga, H-O. Sextics with singular points in special position. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS. 2001
- Cogolludo Agustin, J.I. Invariants of the complement to rational arrangements. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE. 2000
- Cogolludo Agustin, J.I. Fundamental Groups for some Cuspidal Curves. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY. 1999
Conference presentations
- Gil Clemente, María Elena; Cogolludo Agustín, José Ignacio; Agudo Carnicer, Almudena. Awareness of symmetry, order, and stability in children with Down syndrome. JOURNAL OF APPLIED RESEARCH IN INTELLECTUAL DISABILITIES. 2021
- Gil Clemente, E.; Cogolludo, I.; Millan-Gasca, A. Geometrical skills support the understanding of arithmetic in children with Down Syndrome. JOURNAL OF INTELLECTUAL DISABILITY RESEARCH. 2019
- Artal Bartolo, Enrique; Cogolludo Agustín, José I.; Melle Hernández, Alejandro. John Willard Milnor, 1962 Fields Medal. GACETA DE LA REAL SOCIEDAD MATEMÁTICA ESPAÑOLA. 2012
Books
Scientific chapters
- Cremona transformations of weighted projective planes, Zariski pairs, and rational cuspidal curves. Artal Bartolo, Enrique ; Cogolludo, José Ignacio ; Martín-Morales, Jorge. SINGULARITIES AND THEIR INTERACTION WITH GEOMETRY AND LOW DIMENSIONAL TOPOLOGY. 2021
- Cogolludo Agustín, J.I., García Catalán, R., Gil Clemente, E., Lizasoain Iriso, I., Millán Gasca, A. Aprender matemáticas. ¿Qué enseñan los niños con discapacidad intelectual a los maestros en formación?. MATERIALES E INNOVACIÓN EDUCATIVA EN LA SOCIEDAD DEL CONOCIMIENTO. 2019
- Coverings of rational ruled normal-surfaces. Artal Bartolo, E.; Cogolludo-Agustín, J.I.; Martín-Morales, J. SINGULARITIES, ALGEBRAIC GEOMETRY, COMMUTATIVE ALGEBRA, AND RELATED TOPICS. 2018
- Some open questions on arithmetic Zariski pairs. Artal Bartolo, Enrique Manuel; Cogolludo-Agustín, José Ignacio. SINGULARITIES IN GEOMETRY, TOPOLOGY, FOLIATIONS AND DYNAMICS. PAPERS FROM THE WORKSHOP, A CELEBRATION OF THE 60TH BIRTHDAY OF JOSÉ SEADE, HELD IN MERIDA, DECEMBER 8–19, 2014. 2017
- Characters of fundamental groups of curve complements and orbifold pencils. Artal Bartolo, E.; Cogolludo-Agustín, J.I.; Libgober, A. CONFIGURATION SPACES: GEOMETRY, COMBINATORICS AND TOPOLOGY (CENTRO DE GIORGI, 2010). 2012
- Mordell-Weil groups and Zariski triples. J.I. COGOLLUDO AGUSTIN; R. KLOOSTERMAN. GEOMETRY AND ARITHMETIC. 2012
- E. Artal and J. I. Cogolludo. On the topology of hypocycloids. MATHEMATICAL PHYSICS AND FIELD THEORY: JULIO ABAD, IN MEMORIAM. 2009
- A survey on Zariski pairs. Artal Bartolo, Enrique; Cogolludo, Jose Ignacio; Tokunaga, Hiro-o. ALGEBRAIC GEOMETRY IN EAST ASIA--HANOI 2005. 2008
- Invariants of combinatorial line arrangements and Rybnikov's example. Artal Bartolo, Enrique; Carmona Ruber, Jorge; Cogolludo Agustín, José Ignacio; Marco Buzunáriz, Migu. SINGULARITY THEORY AND ITS APPLICATIONS. 2007
- On sextics with big Milnor number. Artal Bartolo, E.; Carmona Ruber, J.; Cogolludo-Agustín, J.I. TRENDS IN SINGULARITIES. 2002
- Representaciones finitas del grupo de trenzas, monodromías de trenzas y topología de curvas algebraicas. Artal Bartolo, E.; Carmona Ruber, J.; Cogolludo-Agustín, J.I. EACA 2001. 7 ENCUENTRO DE ÁLGEBRA COMPUTACIONAL Y APLICACIONES, DEL 12 AL 14 DE SEPTIEMBRE DE 2001, EZCARAY, LA RIOJA. 2001
Journal editorial management
- Contemporary mathematics - American Mathematical Society. 0271-4132. 18/02/09 - 16/12/10
Projects
- Una Conferencia para celebrar el 60 cumpleaños de Enrique Artal y el 55 cumpleaños de Alejandro Melle. 12/04/23 - 11/04/24
- E22_23R: Álgebra y Geometría. 01/01/23 - 31/12/25
- PID2020-114750GB-C31: SINGULARIDADES EN TOPOLOGÍA, GEOMETRÍA, ÁLGEBRA, CRIPTOGRAFÍA, FÍSICA Y SUS APLICACIONES. 01/09/21 - 31/08/25
- E22_20R: Álgebra Y Geometría. 01/01/20 - 31/12/22
- PRX18/00469: TOPOLOGÍA DE VARIEDADES ALGEBRAICAS Y SUPERFICIES NORMALES. ESTANCIA EN UNIVERSITY OF ILLINOIS AT CHICAGO (USA). Ayudas de movilidad Programa Salvador de Madariaga/Becas Fulbright. 01/03/19 - 31/08/19
- ANFoMAM: Aprender de los niños para formar a los maestros en el área de matemáticas. 01/09/18 - 31/12/21
- GRUPO DE REFERENCIA ÁLGEBRA Y GEOMETRÍA. 01/01/17 - 31/12/19
- MTM2016-76868-C2-2-P: GEOMETRÍA, TOPOLOGÍA, ÁLGEBRA Y CRIPTOGRAFÍA DE LAS SINGULARIDADES Y SUS APLICACIONES. 30/12/16 - 29/06/21
- GRUPO CONSOLIDADO E15 GEOMETRÍA. 01/01/16 - 31/12/16
- GRUPO CONSOLIDADO E15 GEOMETRÍA. 01/01/15 - 31/12/15
- GRUPO CONSOLIDADO 2014 E15 GEOMETRIA. 01/01/14 - 31/12/14
- GRUPO CONSOLIDADO E15 GEOMETRÍA. 01/01/14 - 31/12/14
- MTM2013-45710-C2-1-P: SINGULARIDADES Y SUS APLICACIONES A GEOMETRÍA, TOPOLOGÍA, ÁLGEBRA Y CRIPTOGRAFÍA. 01/01/14 - 31/12/17
- GRUPO CONSOLIDADO E15 GEOMETRÍA. 01/01/13 - 31/12/13
- V.I. EXCELENCIA 2011.ESTANCIA MASAHIKO YOSHINAGA DEL DEPARTAMENTO DE MATEMATICAS DE LA UNIVERSIDAD DE KYOTO (JAPON). 01/01/12 - 31/12/12
- V.I. MOVILIDAD 2011-ESTANCIA EN EL DPTO. DE MATHEMATICS,STATISTICS AND COMPUTER SCIENCE DE LA UNIVERSIDAD DE ILLINOIS EN CHICAGO (EE.UU.). 01/01/12 - 31/12/12
- GRUPO CONSOLIDADO E15 GEOMETRIA. 01/01/11 - 31/12/12
- MTM2010-21740-C02-02.SINGULARIDADES EN ALGEBRA, CRIPTOGRAFIA, GEOMETRIA Y TOPOLOGIA. 01/01/11 - 31/12/14
- XVII ENCUENTROS DE TOPOLOGIA. 01/01/10 - 31/12/17
- CONVENIO I-MATH UZ-UNIV. CANTABRIA PARA LA REALIZACIÓN DE LA ACTIVIDAD "LIB60BER: TOPOLOGY OF ALGEBRAIC VARIETIES" DENTRO DEL PROY. CSD2006-00032. 06/05/09 - 15/10/09
- LIB60BER: TOPOLOGY OF ALGEBRAIC VARIETIES. 01/01/09 - 31/12/17
- MTM2008-02860-E. CONGRESO INTERNACIONAL SOBRE TOPOLOGIA DE VARIEDADES ALGEBRAICAS: LIB60BER. 01/01/09 - 31/12/09
- SUBV.NO SUJETA A CONV.CONGRESO INTERNACIONAL SOBRE TOPOLOGIA DE VARIEDADES ALGEBRAICAS: LIB60BER. 01/01/09 - 14/11/09
- VI CONGRESOS 2008 LIB60BER: TOPOLOGÍA. 01/10/08 - 30/09/09
- GRUPO CONSOLIDADO E15 GEOMETRÍA. 01/01/08 - 31/12/10
- MTM2007-67908-C02-01 TEORÍA DE SINGULARIDADES Y APLICACIONES EN ARITMÉTICA,CRIPTOGRAFÍA, GEOMETRÍA Y TOPOLOGÍA. 01/10/07 - 31/12/10
- GRUPO CONSOLIDADO E15 GEOMETRIA. 01/01/05 - 31/12/07
- MTM2004-08080-C02-02. PROBLEMAS TOPOLOGICOS, GEOMETRICOS Y ARITMETRICOS EN TEORIA DE SINGULARIDADES. 13/12/04 - 12/12/07
- BFM2001-1488-C02-02. INVARIANTES ARITMETICOS Y GEOMETRICOS DE SINGULARIDADES Y SUS APLICACIONES. 28/12/01 - 27/03/05
- EAGER (European algebraic geometry research training network). 01/01/00 - 31/12/04
Contracts
- Congreso 115 AM. 14/09/22 - 13/09/23
PhD supervision
- Even Artin Groups. Universidad de Zaragoza. Sobresaliente cum laude. 03/09/19
- Didáctica de las matemáticas para niños con Síndrome de Down a partir de una visión integrada de la aritmética y la geometría elementales. Universidad de Zaragoza. Sobresaliente "Cum Laude". 08/01/16
- Invariantes topológicos y algebraicos de curvas y superficies con singularidades cociente. Université de Pau et des Pays de l'Adour. Apto cum laude. 03/07/13
- Embedded Q-Resolutions and Yomdin-Lê Surface Singularities. Universidad de Zaragoza. Sobresaliente "Cum Laude". 15/12/11
- Estudio de la rigidez homológica de combinatorias de rectas. Universidad de Zaragoza. Sobresaliente "Cum Laude". 19/02/07
Supervision of undergraduate dissertations
- Teoría de trenzas: una revisión del trabajo de Artin. Universidad de Zaragoza. Sobresaliente. 17/07/24
- Estudio geométrico de las hipocicloides. Universidad de Zaragoza. Aprobado. 14/12/23
- Bases de Gröbner y su aplicación a la resolución de Sudokus. Universidad de Zaragoza. Notable. 19/02/21
- Plane Algebraic Curves
. Universidad de Zaragoza. Matrícula de honor. 28/07/20
- Problemas Clásicos en Topología y Geometría. Universidad de Zaragoza. Notable. 21/07/20
- Gröbner bases and applications to multivariable cryptographic systems (MPK)
. Universidad de Zaragoza. Notable. 26/09/19
- Geometría de superficies cúbicas en el espacio proyectivo complejo tridimensional. Universidad de Zaragoza. Notable. 12/07/19
- Bases de Groebner y aplicaciones en teoría de grafos. Universidad de Zaragoza. Notable. 11/07/19
- Criptografía multivariable, bases de Groebner y ataques. Universidad de Zaragoza. Matrícula de honor. 11/07/19
- Bases de Gröbner e Ideales Diferenciables. Universidad de Zaragoza. Notable. 17/12/18
- Modelos, axiomática y geometría del plano hiperbólico. Universidad de Zaragoza. Notable. 10/07/18
- Bases de Groebner y aplicaciones a sistemas criptográficos. Universidad de Zaragoza. Notable. 13/07/17
- Geometría proyectiva y sintética clásica. Aplicación al estudio de haces de cúbicas. Universidad de Zaragoza. Sobresaliente. 13/07/17
- Polinomio de Alexander, número de enlace y enlaces algebráicos. Universidad de Zaragoza. Sobresaliente. 13/07/17
- Teoría de nudos y aplicaciones. Universidad de Zaragoza. Notable. 28/09/16
- Enlaces algebráicos y trenzas. Universidad de Zaragoza. Notable. 17/12/15
Supervision of master's theses
- Problemas de distancia euclidea. Universidad de Zaragoza. Aprobado. 16/12/21
- Conocimiento informal de simetrías en niños de 3 a 5 años. Universidad de Zaragoza. Sobresaliente. 24/09/20
- Artin Groups. Universidad de Zaragoza. Matrícula de honor. 15/07/15
- ESPACIOS PROYECTIVOS PONDERADOS. Universidad de Zaragoza. SOBRESALIENTE. 11/09/09
Previous research
- Investigador contratado en el marco del Programa de Ayudas Ramón y Cajal. Universidad Complutense de Madrid. 15/11/01 - 11/12/01
- Profesor Ayudante de Facultad. Universidad Complutense de Madrid. 08/01/99 - 14/11/01
- Profesor Ayudante de Escuela Universitaria. Universidad Complutense de Madrid. 01/10/97 - 07/01/99
- Teaching Assistant. University of Illinois at Chicago. 01/01/97 - 30/09/97
- Becario del Programa de Formación del Personal Investigador. Universidad Complutense de Madrid. 14/04/93 - 31/12/96
Participation in conferences
- XVII International Conference Zaragoza-Pau on Mathematics and its applications. Participativo - Ponencia oral (comunicación oral). The space of SL2(C) representations of hyperplane arrangements and twisted Alexander polynomials. Jaca. 04/09/24
- Seminario di Matematiche complementari Federigo Enriques. Storia, didattica, epistemologia. Participativo - Ponencia oral (comunicación oral). Informal mathematica knowledge: Trajectories and their properties. Roma Tres, Roma. 22/12/23
- Workshop on Complex and symplectic curve configurations. Participativo - Ponencia oral (comunicación oral). Problem report on symplectic vs algebraic fundamental groups. Nantes. 12/12/22
- Real Aspects of Geometry. Participativo - Plenaria. Quasi-projective varieties and free products of cyclic groups. CIRM, Marseille-Luminy. 03/11/22
- Topology and Singularities Seminar. Participativo - Ponencia invitada/ Keynote. Homological invariants of even Artin kernels. University of Wisconsin, Madison. 05/04/21
- Geometries in Pyrenees. Participativo - Ponencia invitada/ Keynote. Asymptotic behavior of fundamental groups of smooth surfaces. Université de Pau et des Pays de l'Adour. 05/09/19
- UIC Singularity Workshop. Participativo - Ponencia invitada/ Keynote. Asymptotic behavior of fundamental groups of smooth surfaces. University of Illinois, Chicago. 29/06/19
- Geometry and Topology Seminar 2019. Participativo - Ponencia invitada/ Keynote. Even Artin Groups, cohomological computations and other geometrical properties. Madison, Wisconsin. 18/04/19
- Topology & Málaga Meeting. Participativo - Plenaria. Quasi-projectivity and K(p, 1) conjectures. Málaga. 31/01/19
- Topology and Geometry: A conference in memory of Stefan Papadima (1953-2018). Participativo - Plenaria. Quasiprojectivity of even Artin Groups. Bucarest. 28/05/18
- Interactions between low-dimensional Topology and Complex Algebraic Geometry. Participativo - Plenaria. Asymptotic conditions on fundamental groups of quasiprojective surfaces. Oberwolfach. 22/10/17
- I International Workshop: Trisomy 21, Mathematics and thought. Organizativo - Comité científico y organizador. Zaragoza. 07/09/17
- SINGULARITY THEORY CONFERENCE. Participativo - Plenaria. Quasi-projective Artin groups and the QP K(pi,1)-conjecture. Shanghai. 10/07/17
- RSME 2017. Participativo - Ponencia invitada/ Keynote. The quasi-projective K(pi,1) problem and even Artin groups. Zaragoza. 30/01/17
- Congreso Bienal de la Real Sociedad Matemática Española. Participativo - Ponencia invitada/ Keynote. The quasi-projective K(p,1) problem and even Artin groups. Zaragoza. 30/01/17
- Algebra, Geometry and Topology of singularities. Participativo - Ponencia invitada/ Keynote. Arithmetics of Curvettes On Quotient Surface Singularities. Estambul. 12/05/16
- Singularities in the Midwest III. Participativo - Ponencia invitada/ Keynote. Artin Groups and Artin Kernels. Madison, WI. 22/03/16
- Primer Encuentro de la Red de Geometría Algebraica y Singularidades. Participativo - Ponencia invitada/ Keynote. Aritmética de curvetas en superficies con singularidades cociente. Universidad de Barcelona. 29/01/16
- American Mathematical Meeting. Participativo - Ponencia invitada/ Keynote. Curve Invariants on Quotient Surface Singularities and Lattice Counting Problems. Chicago, Illinois. 03/10/15
- Geometry and Topology Seminar 2015. Participativo - Ponencia invitada/ Keynote. Topology of Curve Complements and Combinatorial Aspects. University of Winconsin-Madison. 02/10/15
- Seminari Geometria Algebraica. Participativo - Ponencia invitada/ Keynote. Singularidades cociente, invariantes y cómo contar puntos enteros. Barcelona. 24/04/15
- Branched Coverings, Degenerations, and Related Topics 2014. Participativo - Ponencia invitada/ Keynote. Quasi-projective groups and finiteness conditions. Hiroshima. 07/03/14
- XX Encuentro de Topología. Participativo - Ponencia invitada/ Keynote. Grupos casi-proyectivos y propiedades de finitud. ICMAT, Madrid. 25/10/13
- International Meeting of the American Mathematical Society and the Romanian Mathematical Society. Participativo - Ponencia invitada/ Keynote. Alexander Polynomials and Number Theory over Fields of Functions. Alba Iulia. 27/06/13
- Séminaire Algèbre et Géométrie. Participativo - Ponencia invitada/ Keynote. Genus Formulas for Weighted Curves. Universidad de Pau, Pau. 13/05/13
- International Conference on Singularity Theory and Applications. Participativo - Ponencia invitada/ Keynote. Mordell-Weil Groups of Elliptic Threefolds over P^2, Alexander Polynomials, and Quasitoric Relations of Curves. University of Science and Technology of China. Hefei, Anhui. 25/07/11
- Branched Coverings, Degenrations, and Related Topics 2011. Participativo - Ponencia invitada/ Keynote. On the Topology of Plane Curves. Tokyo Metropolitan University. Tokio. 07/03/11
- Forschungsseminar Arithmetische Geometrie. Participativo - Ponencia invitada/ Keynote. On the Connection between the Topology of Plane Curves, the Position of Singular Points, and Elliptic Threefolds. Humboldt Universität zu Berlin. Berlin. 07/12/10
- Braids. Participativo - Ponencia invitada/ Keynote. On the Connection between Braid Monodromies, fundamental Groups, and special Pencils of Plane Curves. Institut de Matemàtica de la Universitat de Barcelona, IMUB. 22/10/10
- Workshop on "Algebra and Geometry of Configuration Spaces and related structures". Participativo - Ponencia invitada/ Keynote. Quasitoric decompositions of plane curves. Centro di Ricerca Matematica Ennio De Giorgi. Matematica nelle Scienze Naturali e Sociali. Pisa. 21/06/10
- Algebraic Geometry Conference: in honor of Anatoly Libgober's 60th birthday. Participativo - Ponencia invitada/ Keynote. Cohomology algebra of a plane curve and related topics. University of Illinois at Chicago. Chicago, Illinois. 16/10/09
- Tresses in Pau 2009. Participativo - Ponencia invitada/ Keynote. Braid Monodromies of Algebraic Curves. Université de Pau et des Pays de l'Adour. Pau. 05/10/09
- Singularities in Aarhus. Participativo - Ponencia invitada/ Keynote. About the cohomology algebra of a plane curve. Department of Mathematical Sciences, Aarhus University. Aarhus. 17/08/09
- Seminario del Departamento de Álgebra. Participativo - Ponencia invitada/ Keynote. El anillo de Cohomología de Curvas Planas: Formas Logarítmicas y Formalidad. Universidad de Sevilla. 24/04/09
- Congreso de la RSME 2009. Sesión Especial de Singularidades, Interacciones con Teoría de Números y Topología. Participativo - Ponencia invitada/ Keynote. Max-Noether Theorem revisited. Oviedo. 04/02/09
- X International Conference Zaragoza-Pau of Applied Mathematics. Participativo - Ponencia invitada/ Keynote. Curve Complements, Combinatorics, and Pencils. Jaca. 15/09/08
- Géométrie et Topologie des Singularités. Participativo - Ponencia invitada/ Keynote. Cohomology Ring of the Complement to Plane Curves. Laboratoire Angevin de Recherche en Mathématiques. Angers. 10/09/07
- Satellite Conference: Algebraic Geometry (ICM). Participativo - Ponencia invitada/ Keynote. Twisted Alexander Invariants and the Geometry of Algebraic Curves. Universidad de Valladolid. Segovia. 16/08/06
- Journeys on Singularities La Palma 2005. Participativo - Ponencia invitada/ Keynote. Some Remarks on the Jacobian Conjecture. Universidad de La Laguna. La Laguna. 12/11/05
- Young Researchers in Singularities. Participativo - Ponencia invitada/ Keynote. Topology of Real and Complex Line Arrangements in P^2. Centre International de Recontres Matématiques. Marsella. 14/02/05
- Arrangements of Hyperplanes (Annual AMS Meeting). Participativo - Ponencia invitada/ Keynote. Cohomology ring of the complement to rational arrangements and generalizaed Aomoto complexes. Columbia University. New York, NY. 05/11/00
- Workshop in Singularities. Participativo - Ponencia invitada/ Keynote. Arrangements of quadrics and lines. Ohio State University. Columbus, Ohio. 19/12/98
- Conference on Singularities, Valladolid '97. Participativo - Ponencia invitada/ Keynote. Fundamental Groups for Hirano Curves. Universidad de Valladolid. Valladolid. 22/09/97
- Singular Hypersurfaces. Participativo - Ponencia invitada/ Keynote. Families of Rational Cuspidal Curves. University of Illinois at Chicago. Chicago, Illinois. 16/12/96
- Géométrie Algebrique en Liberté (GAEL) IV. Participativo - Ponencia invitada/ Keynote. Fundamental Group of the Complement of Plane Curves with Nodes and Cusps. Centre International de Recontres Matématiques. Luminy, Marsella. 11/03/96
- Geometría Algebraica y Singularidades. Participativo - Ponencia invitada/ Keynote. Espacios de curvas planas y topología. Universidad de Valladolid. La Mota. Valladolid. 05/02/96
- Seminario de Geometría Algebraica. Participativo - Ponencia invitada/ Keynote. Grupo fundamental del complementario de curvas proyectivas planas con nodos y cúspides. Universidad Complutense de Madrid. Madrid. 23/10/95
Research stays
- UNIVERSITY OF ILLINOIS AT CHICAGO. CHICAGO. Estados Unidos de América. 01/03/19 - 31/08/19
- UNIVERSITY OF ILLINOIS AT CHICAGO. CHICAGO. Estados Unidos de América. 07/07/14 - 22/08/14
- UNIVERSITY OF ILLINOIS AT CHICAGO. CHICAGO, ILLINOIS. Estados Unidos de América. 07/07/10 - 26/08/10
- UNIVERSITY OF ILLINOIS AT CHICAGO. CHICAGO, ILLINOIS. Estados Unidos de América. 30/06/09 - 14/08/09
- DEPARTMENT OF MATHEMATICS, UNIVERSITY OF ILLINOIS AT CHICAGO. CHICAGO, ILLINOIS. Estados Unidos de América. 01/10/96 - 31/12/96
Organization of R&D activities
- Algebraic and topological interplay of algebraic varieties. 12/06/23 - 16/06/23
- XXVIII Encuentro de Topología. 18/10/22 - 22/10/22
- UIC Singularity Workshop. 28/06/19 - 29/06/19
- I International Workshop: Trisomy 21, Mathematics and thought. 07/09/17 - 08/09/17
- II Singular Workshop en Zaragoza. 16/12/11 - 17/12/11
- XVII ENCUENTRO DE TOPOLOGIA. 26/11/10 - 27/11/10
- BRAIDS: Jornada Temática Interdisciplinar de la Red Española de Topología. 22/10/10 - 23/10/10
- CONGRESO LIB60BER: Topology of Algebraic Varieties. 22/06/09 - 26/06/09
- I Singular Workshop en Zaragoza. 03/02/06 - 04/02/06
- I Seminario de Singularidades de Sedano. 19/12/94 - 22/12/94
R&D management activities
- Facultad de Ciencias. COORDINADOR DE PROGRAMA DE DOCTORADO. 09/04/14
- Facultad de Ciencias. COORDINADOR DE MASTER. 23/03/10 - 21/03/14
Research evaluation activities
- Participación en tribunales. TESIS DOCTORAL. Estados Unidos de América. 18/04/19 - 18/04/19
- Participación en tribunales. TESIS DOCTORAL. Estados Unidos de América. 21/05/18 - 21/05/18
- EVALUADOR PLAN NACIONAL I+D. No existe. España. 01/11/10
- Participación en tribunales. TESIS DOCTORAL. España. 03/03/06 - 04/03/06
- Participación en tribunales. TESIS DOCTORAL. España. 28/11/03 - 29/11/03
Other merits
- EVALUADOR PARA LA ANEP. Realización de evaluaciones para la Agencia Nacional de Evaluación y Prospectiva.
- RECENSOR (REFEREE). Hasta la fecha he actuado de referee para Duke Mathematical Journal, Transactions of the American Mathematical Society, Revista Matemática Complutense, Commentarii Mathematici Helvetici, Bulletin of the London Mathematical Society y Journal of Knot Theory and Its Ramifications.
También realizo revisiones para Zentralblatt für Mathematik.
UNIZAR teaching activity
Teaching not UNIZAR
- Matemáticas II. Ciencias y Técnicas Estadísticas. Universidad Complutense de Madrid. 16/09/2000 - 15/09/2001
- Álgebra lineal y geometría. Licenciado en Ciencias Matemáticas. Universidad Complutense de Madrid. 16/09/1999 - 15/09/2001
- Teoría de conjuntos. Licenciado en Ciencias Matemáticas. Universidad Complutense de Madrid. 16/09/1999 - 15/09/2000
- Calculus I. Mathematics. University of Illinois at Chicago. 06/01/1997 - 28/04/1997
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