Associate Professor, Department of Mathematics, University of Santiago de Compostela, - .
Profesor Contratado Doutor, Department of Mathematics, University of Santiago de Compostela, - .
Profesor interino, Department of Mathematics, University of Santiago de Compostela, - .
Ramón y Cajal researcher, Department of Mathematics, University of Santiago de Compostela, - . Funding: Ministry of Economy and Competitivity (Spain).
Parga Pondal researcher, Department of Geometry and Topology, University of Santiago de Compostela, - . Funding: Galician Government (Spain).
Marie Curie Intra European Fellow (EIF-FP6), Department of Mathematics, University College Cork, Ireland, - . Funding: European Commission.
Embark Initiative Postdoctoral Fellowship Scheme, Department of Mathematics, University College Cork, Ireland, - . Funding: Irish Research Council for Science, Engeneering and Technology (Ireland).
Hired researcher, Faculty of Mathematics, University of Santiago de Compostela, - . Funding: project BFM2003-02949 (Spain).
National programme for the formation of university professors (FPU), Faculty of Mathematics, University of Santiago de Compostela, - . Funding: Ministry of Education, Culture and Sport (Spain).
Grants for post-graduate studies, Faculty of Mathematics, University of Santiago de Compostela, - . Funding: Galician Government (Spain).
Grant for the collaboration in the Department of Geometry and Topology, Faculty of Mathematics, University of Santiago de Compostela, - . Funding: Ministry of Science, Culture and Sport (Spain).
Degrees
Ph.D. in Mathematics, University of Santiago de Compostela, . Dissertation: Geometric consequences of intrinsic and extrinsic curvature conditions.
Advanced Studies Diploma, University of Santiago de Compostela, . Dissertation: Caracterización de variedades Riemannianas mediante curvaturas totales de esferas geodésicas (Caracterization of Riemannian manifolds by means of total curvatures of geodesic spheres).
Grado de Licenciatura, University of Santiago de Compostela, . Dissertation: Curvaturas totais de esferas xeodésicas (Total curvatures of geodesic spheres).
Degree in Mathematics, University of Santiago de Compostela, .
Publications
Research papers
J. L. Carmona-Jiménez, M. Castrillón-López, J. C. Díaz-Ramos: The Ambrose-Singer theorem for cohomogeneity one Riemannian manifolds, arXiv:2312.16934 [math.DG].
J. C. Díaz-Ramos, J. M. Lorenzo-Naveiro: Codimension two polar homogeneous foliations on symmetric spaces of noncompact type, arXiv:2302.08339 [math.DG].
J. C. Díaz-Ramos, M. Domínguez-Vázquez, T. Otero-Casal: Cohomogeneity one actions on symmetric spaces of noncompact type and higher rank, Adv. Math.428 (2023), 109165.
J. C. Díaz-Ramos, M. Domínguez-Vázquez, O. Pérez-Barral: Homogeneous CR submanifolds of complex hyperbolic spaces, Publ. Mat.67 (2023), 891-912.
J. C. Díaz-Ramos, M. Domínguez-Vázquez, T. Hashinaga: Homogeneous Lagrangian foliations on complex space forms, Proc. Amer. Math. Soc.151 (2023), 823-833.
J. C. Díaz-Ramos, M. Domínguez-Vázquez, A. Rodríguez-Vázquez: Homogeneous and inhomogeneous isoparametric hypersurfaces in rank one symmetric spaces, J. Reine Angew. Math.779 (2021), 189-222.
J. C. Díaz-Ramos, M. Domínguez-Vázquez, A. Kollross: On homogeneous manifolds whose isotropy actions are polar, Manuscripta Math.161 (2020), 15-34.
J. C. Díaz-Ramos, M. Domínguez-Vázquez, C. Vidal-Castiñeira: Strongly 2-Hopf hypersurfaces in complex projective and hyperbolic planes, Ann. Mat. Pura Appl.197 (2018), 469-486.
J. C. Díaz-Ramos, M. Domínguez-Vázquez, C. Vidal-Castiñeira: Isoparametric submanifolds in two-dimensional complex space forms, Ann. Global Anal. Geom.53 (2018), 205-216.
J. C. Díaz-Ramos, M. Domínguez-Vázquez, V. Sanmartín-López: Isoparametric hypersurfaces in complex hyperbolic spaces, Adv. Math.314 (2017), 756-805.
J. C. Díaz-Ramos, M. Domínguez-Vázquez, A. Kollross: Polar actions on complex hyperbolic spaces, Math. Z.287 (2017), 1183-1213.
J. C. Díaz-Ramos, M. Domínguez-Vázquez, C. Vidal-Castiñeira: Real hypersurfaces with two principal curvatures in complex projective and hyperbolic planes, J. Geom. Anal.27 (2017), 442-465.
J. Berndt, J. C. Díaz-Ramos, M. Vanaei: Cohomogeneity one actions on Minkowski spaces, Monatsh. Math.184 (2017), 185-200.
J. C. Díaz-Ramos, S. M. B. Kashani, M. Vanaei: Cohomogeneity one actions on anti de Sitter spacetimes, Results Math.72 (2017), 515-536.
J. C. Díaz-Ramos, C. Vidal-Castiñeira: Examples of real hypersurfaces with two principal curvatures in complex projective planes, Int. J. Geom. Meth. Mod. Physics12 (2015), 1560013 (6 pages).
J. C. Díaz-Ramos, M. Domínguez-Vázquez: Isoparametric hypersurfaces in Damek-Ricci spaces, Adv. Math.239 (2013), 1-17.
J. Berndt, J. C. Díaz-Ramos: Polar actions on the complex hyperbolic plane, Ann. Global Anal. Geom.43 (2013), 99-106.
J. Berndt, J. C. Díaz-Ramos: Homogeneous polar foliations of complex hyperbolic spaces, Comm. Anal. Geom.20 (2012), 435-454.
J. C. Díaz-Ramos, M. Domínguez-Vázquez: Inhomogeneous isoparametric hypersurfaces in complex hyperbolic spaces, Math. Z.271 (2012), 1037-1042.
J. C. Díaz-Ramos, M. Domínguez-Vázquez: Non-Hopf real hypersurfaces with constant principal curvatures in complex space forms, Indiana Univ. Math. J.60 (2011), 859-882.
J. C. Díaz-Ramos, A. Kollross: Polar actions with a fixed point, Differential Geom. Appl.29 (2011), 20-25.
J. Berndt, J. C. Díaz-Ramos, H. Tamaru: Hyperpolar homogeneous foliations on symmetric spaces of noncompact type, J. Differential Geom.86 (2010), 191-235.
J. Berndt, J. C. Díaz-Ramos: Homogeneous hypersurfaces in complex hyperbolic spaces, Geom. Dedicata138 (2009), 129-150.
M. Brozos-Vázquez, M. C. Campo-Cabana, J. C. Díaz-Ramos, J. González-Díaz: Ranking participants in a tournament by means of rating functions, J. Math. Econom.44 (2008), 1246-1256.
A. Cortés-Ayaso, J. C. Díaz-Ramos, E. García-Río: Four-dimensional manifolds with degenerate self-dual Weyl operator, Ann. Global Anal. Geom.34 (2008), 185-193.
J. Davidov, J. C. Díaz-Ramos, E. García-Río, Y. Matsushita, O. Muskarov, R. Vázquez-Lorenzo: Hermitian Walker 4-manifolds, J. Geom. Phys.58 (2008), 307-323.
J. Berndt, J. C. Díaz-Ramos: Real hypersurfaces with constant principal curvatures in the complex hyperbolic plane, Proc. Amer. Math. Soc.135 (2007), 3349-3357.
J. Davidov, J. C. Díaz-Ramos, E. García-Río, Y. Matsushita, O. Muskarov, R. Vázquez-Lorenzo: Almost Kähler Walker four-manifolds, J. Geom. Phys.57 (2007), 1075-1088.
J. Berndt, J. C. Díaz-Ramos: Real hypersurfaces with constant principal curvatures in complex hyperbolic spaces, J. London Math. Soc.74 (2006), 778-798.
J. C. Díaz-Ramos, E. García-Río, L. Vanhecke: Homogeneity and curvatures of geodesic spheres, Monatsh. Math.149 (2006), 303-322.
J. C. Díaz-Ramos, E. García-Río, R. Vázquez-Lorenzo: New examples of Osserman metrics with non diagonalizable Jacobi operators, Differential Geom. Appl.24 (2006), 433-442.
J. C. Díaz-Ramos, E. García-Río, R. Vázquez-Lorenzo: Four-dimensional Osserman metrics with nondiagonalizable Jacobi operators, J. Geom. Anal.16 (2006), 39-52.
J. C. Díaz-Ramos, E. García-Río, R. Vázquez-Lorenzo: Osserman metrics on Walker 4-manifolds equipped with a para-Hermitian structure, Mat. Contemp.30 (2006), 91-108.
J. C. Díaz-Ramos, E. García-Río: Curvature properties of geodesic celestial spheres in Lorentzian geometry, Nonlinear Anal.63 (2005), e481-e491.
J. C. Díaz-Ramos, E. García-Río, L. M. Hervella: Comparison results for the volume of geodesic celestial spheres in Lorentzian manifolds, Differential Geom. Appl.23 (2005), 1-16.
J. C. Díaz-Ramos, E. García-Río, L. M. Hervella: Total curvatures of geodesic spheres associated to quadratic curvature invariants, Ann. Mat. Pura Appl.184 (2005), 115-130.
M. Brozos-Vázquez, J. C. Díaz-Ramos: Propiedades locais de espacio tempos relativistas, Revista Academia Galega de Ciencias, XXIV (2005), 259-365.
J. C. Díaz-Ramos, B. Fiedler, E. García-Río, P. Gilkey: The structure of algebraic covariant derivative curvature tensors, Int. J. Geom. Meth. Mod. Physics1 (2004), 711-720.
J. C. Díaz-Ramos, E. García-Río: A note on the structure of algebraic curvature tensors, Lin. Alg. Appl.382 (2004), 271-277.
Conference proceedings
J. C. Díaz-Ramos, M. Domínguez-Vázquez, T. Otero-Casal: Homogeneous hypersurfaces in symmetric spaces, New Trends in Geometric Analysis, Spanish Network of Geometric Analysis 2007-2021, RSME Springer Series, Springer, 2023, 141-190.
J. C. Díaz-Ramos, M. Domínguez-Vázquez, V. Sanmartín-López: Submanifold geometry in symmetric spaces of noncompact type, Sao Paulo J. Math. Sci., (Special Section: An Homage to Manfredo P. do Carmo), 2021, 75-110.
J. C. Díaz-Ramos, M. Domínguez-Vázquez, V. Sanmartín-López: Anti-De Sitter spacetimes and isoparametric hypersurfaces in complex hyperbolic spaces, Lorentzian Geometry and Related Topics, Springer Proceedings in Mathematics & Statistics 211, GeLoMa 2016, Málaga, Spain, September 20-23, Springer, 2017, 87-101.
J. C. Díaz-Ramos: Polar Actions on Symmetric Spaces, Recent Trends in Lorentzian Geometry, Springer Proceedings in Mathematics & Statistics, Springer, 2013, 315-334.
J. C. Díaz-Ramos: Polar actions on complex space forms, Proceedings of The Sixteenth International Workshop on Differential Geometry and related fields16, 2012, 69-88.
J. C. Díaz-Ramos: The orbits of cohomogeneity one actions on complex hyperbolic spaces, Proceedings of the VIII International Colloquium on Differential Geometry, World Sci. Publ. Co., 2009, 146-155.
J. C. Díaz-Ramos: Computational methods in Mathematics, Curvature and variational modeling in Physics and Biophysics, AIP Conference Proceedings1002, Amer. Inst. Phys., 2008, 213-252.
J. C. Díaz-Ramos, E. García-Río, L. M. Hervella: Total curvatures of geodesic spheres and of boundaries of geodesic disks, Complex, contact and symplectic manifolds, Progress in Math., Birkhäuser, 2005, 131-143.
J. C. Díaz-Ramos, E. García-Río, L. M. Hervella: On some volume comparison results in Lorentzian geometry, Proceedings of the II International Meeting on Lorentzian Geometry, Publ. de la RSME 8, 2004, 15-27.
Monographs
J. C. Díaz-Ramos: Geometric consequences of intrinsic and extrinsic curvature conditions, Publ. Dto. Geom. Top. 106, Imprenta Universitaria, 2006.
J. C. Díaz-Ramos: Caracterización de variedades Riemannianas mediante curvaturas totais de esferas xeodésicas, Publ. Dto. Geom. Top. 101, Imprenta Universitaria, 2003.
J. C. Díaz-Ramos: Curvaturas totais de esferas xeodésicas, Publ. Dto. Geom. Top. 97, Imprenta Universitaria, 2002.
Teaching publications
J. C. Díaz-Ramos, A. M. Gómez-Tato, E. Macías-Virgós: Matemáticas e estatística II: conceptos e fórmulas da estatística no Grao de Farmacia, Esenciais USC, Universidade de Santiago de Compostela, 2020.
J. C. Díaz-Ramos: Matemáticas e Estatística II, Minerva (repositorio institucional da USC), AC-Materiais didácticos, Universidade de Santiago de Compostela, 2021.
J. C. Díaz-Ramos: Topoloxía dos espazos euclidianos, Minerva (repositorio institucional da USC), AC-Materiais didácticos, Universidade de Santiago de Compostela, 2021.
Other publications
M. Brozos-Vázquez, J. C. Díaz-Ramos, J. González-Díaz, A. B. Rodríguez-Raposo, T. Sánchez-Rúa (editors): As matemáticas do veciño. Seminario de Iniciación á Investigación. Vol. II, Instituto de Matemáticas, Universidade de Santiago de Compostela, 2007.
M. Brozos-Vázquez, J. C. Díaz-Ramos, J. González-Díaz, A. B. Rodríguez-Raposo, T. Sánchez-Rúa (editors): As matemáticas do veciño. Seminario de Iniciación á Investigación. Vol. I, Instituto de Matemáticas, Universidade de Santiago de Compostela, 2006.
Talks
Conference talks
Homogeneous polar foliations on symmetric spaces, International Conference on Differential Geometry 2024, Istanbul, Turkey, -.
Homogeneous Lagrangian foliations in complex spaces forms, Workshop on Manifolds with Symmetries, Stuttgart, Germany, -.
Cohomogeneity one actions on rank one symmetric spaces of noncompact type, Geometry of symmetric spaces and group actions, online, Japan, -.
Homogeneous submanifolds in complex space forms, Symmetry and shape, Celebrating the 60th birthday of Prof. J. Berndt, Santiago de Compostela, Spain, -.
Cohomogeneity one actions on Minkowski spaces, II joint meeting Brazil-Spain in Mathematics, Cádiz, Spain, -.
Homogeneous submanifolds of complex space forms, The third Japanese-Spanish workshop on Differential Geometry, Madrid, Spain, -.
Cohomogeneity one actions on Minkowski spaces, 8th International Meeting on Lorentzian Geometry, Málaga, Spain, -.
Isoparametric hypersurfaces in complex hyperbolic spaces, Second joint Conference of the Belgian, Royal Spanish and Luxembourg Mathematical Societies, Logroño, Spain, -.
Non-proper cohomogeneity one actions on Minkowski spaces, First joint meeting Brazil-Spain in Mathematics, Fortaleza, Brazil, -.
Geometry with Mathematica, Computer aided geometry of curves and surfaces with image recognition (CAGIR), Dijon, France, -.
Real hypersurfaces in complex space forms, The second Japanese-Spanish workshop on Differential Geometry, Tokyo, Japan, -.
Geometry with Mathematica, Computer aided geometry of curves and surfaces with image recognition (CAGIR), Lodz, Poland, - .
Polar actions on complex space forms II, The 16th International Workshop on Differential Geometry & Related Topics, Daegu, South Korea, -.
Polar actions on complex space forms I, Pre-joint Meeting of The 16th International Workshop on Differential Geometry, Daegu, South Korea, .
Geometry with Mathematica, Computer aided geometry of curves and surfaces with image recognition (CAGIR), Lodz, Poland, - .
Polar actions on complex hyperbolic spaces, Differential Geometry Days, Santiago de Compostela, Spain, -.
Polar actions on noncompact symmetric spaces, 2nd European Young and Mobile Workshop, Geometric Analysis and Partial Differential Equations, Granada, Spain, -.
Polar actions on symmetric spaces of noncompact type, VI International Meeting on Lorentzian Geometry, Granada, Spain, -.
Homogeneous hyperpolar foliations on symmetric spaces of noncompact type, Workshop on Hypersurface Geometry and Integrable Systems, Sendai, Japan, -.
Acciones hiperpolares en espacios simétricos no compactos, Geometry Meeting 2009, Ferrol, Spain, -.
Hyperpolar actions on noncompact symmetric spaces, II Congreso latinoamericano de grupos de Lie en geometría, La Falda, Argentina, -.
Hypersurfaces with constant principal curvatures in the complex hyperbolic space, VIII International Colloquium on Differential Geometry, Santiago de Compostela, Spain, -.
A characterisation of real hypersurfaces with constant principal curvatures, Differential Geometry, Bedlewo, Poland, -.
Computational methods in Mathematics, Curvature and variational modelling in Physics and Biophysics, Santiago de Compostela, Spain, -.
Homogeneous hypersurfaces in the complex hyperbolic space, Irish Geometry Conference, Galway, Ireland, -.
A Mathematica Package for studying Riemannian geometry of geodesic spheres, International Congress of Mathematicians, Madrid, Spain, -.
Curvature properties of geodesic celestial spheres in Lorentzian geometry, Fourth World Congress of Nonlinear Analysts, Orlando, USA, - .
Invited seminar talks
Homogeneous polar foliations on symmetric spaces of noncompact type, Geometry and Topology Seminar, online, Washington University in St. Louis, USA, .
Cohomogeneity one actions on quaternionic hyperbolic spaces, Symmetric spaces seminar, online, United Kingdom, .
Isoparametric hypersurfaces in complex space forms, Department of Mathematics Seminar, Stuttgart, Germany, .
On the classification of polar actions on complex hyperbolic spaces, Workshop on submanifolds in complex space forms, London, United Kingdom, .
Cohomogeneity one actions on the Minkowski space, Seminar, Rio de Janeiro, Brazil, .
Foliaciones polares e isoparamétricas, Department of Mathematics Seminar, Bilbao, Spain, .
A classification of polar actions on complex hyperbolic spaces, Department of Mathematics Seminar, Cologne, Germany, .
Isoparametric hypersurfaces in complex space forms, Department of Mathematics Seminar, Darmstadt, Germany, .
Foliaciones polares homogéneas en espacios hiperbólicos complejos, Xornada de Xeometría (Seminario Vidal Abascal), Santiago de Compostela, Spain, .
Non-Hopf real hypersurfaces with constant principal curvatures in complex space forms, Department of Mathematics Seminar, Cologne, Germany, .
Homogeneous hyperpolar foliations on symmetric spaces of noncompact type, Department of Mathematics Seminar, Cologne, Germany, .
Hyperpolar homogeneous foliations on noncompact symmetric spaces, Department of Mathematics Seminar, Augsburg, Germany, .
Hypersurfaces with constant principal curvatures in the complex hyperbolic space, Hiroshima University Topology-Geometry Seminar, Hiroshima, Japan, .
Hipersuperficies homoxéneas no espazo hiperbólico real, Seminario de Xeometría e Topoloxía, Santiago de Compostela, Spain, .
Curvaturas totales de esferas geodésicas asociadas a invariantes de orden tres, Seminario del Departamento de Matemáticas de la UPV-EHU, Bilbao, Spain, -.
Talks (education)
Programación en Mathematica, SAM - IMAT: School of Advanced Mathematics, Faculty of Mathematics, University of Santiago de Compostela, Spain, - .
Álxebras de Clifford e as súas aplicacións na Física, SAM - IMAT: School of Advanced Mathematics, Faculty of Mathematics, University of Santiago de Compostela, Spain, - .
Crecemento e forma, I Xornada Biomatemáticas, Santiago de Compostela, Spain, .
Experiencia en primero de grado, II Xornadas sobre metodoloxías docentes no Grao de Matemáticas, Santiago de Compostela, Spain, -.
Other talks
Maps: a plane way to see the world, ESTALMAT, Santiago de Compostela, Spain, .
Nash o mergullador, Nerdnites Santiago, Centro Galego de Arte Contemporánea, Santiago de Compostela, Spain, .
Symmetry and shape, SII, Santiago de Compostela, Spain, .
Maps: a plane way to see the world, ESTALMAT, Santiago de Compostela, Spain, .
As Matemáticas: do abstracto á ferramenta multiusos, Conference in the Faculty of Mathematics, Faculty of Mathematics, Universitty of Santiago de Compostela, Spain, .
Maps: a plane way to see the world, ESTALMAT, Santiago de Compostela, Spain, .
As Matemáticas: do abstracto á ferramenta multiusos, Celebración de San Alberto Magno, Faculty of Mathematics, University of Santiago de Compostela, Spain, .
¿Quen é o mellor?, Nerdnites Santiago, Café Casino, Santiago de Compostela, Spain, .
EIF experience, Marie Curie & ERC Information day, Dublin, Ireland, .
Torneos: ¿quen é o mellor?, Xoves apaixoados polas matemáticas, Santiago de Compostela, Spain, .
Posters
Real hypersurfaces with two constant principal curvatures in complex projective and hyperbolic planes, XXIII International Fall Workshop on Geometry and Physics, Granada, Spain, -.
Principal curvatures of isoparametric hypersurfaces in complex hyperbolic spaces II, Conference in Geometry and Global Analysis, Santiago de Compostela, Spain, -.
Hypersurfaces with constant principal curvatures in complex projective and hyperbolic spaces, Lectures on Lorentzian Geometry, Granada, Spain, -.
Participation in funded projects
Principal investigator of research projects
Simetría, curvatura y ecuaciones geométricas (Symmetry, curvature and geometric equations), Agencia Estatal de Investigación PID2019-105138GB-C21 (Spain) (62920 euro), - . Principal investigator: José Carlos Díaz Ramos, Eduardo García Río.
Simetría, curvatura y ecuaciones diferenciales en geometría (Symmetry, curvature and differential equations in geometry), Agencia Estatal de Investigación MTM2016-75897-P (Spain) (72963 euro), - . Principal investigator: José Carlos Díaz Ramos, Eduardo García Río.
Homoxeneidade e curvatura de variedades e subvariedades (Homogeneity and curvature of manifolds and submanifolds), Galician government ED431F 2017/03 (Spain) (40000 euro), - . Principal investigator: José Carlos Díaz Ramos.
Acciones isométricas y subvariedades isoparamétricas (Isometric actions and isoparametric submanifolds), Ministerio de Economía, Industria y Competitividad (Spain) (40000 euro), - . Principal investigator: J. C. Díaz Ramos.
Simetría, homogeneidad y curvatura (Symmetry, homogeneity and curvature), Galician government EM2014/009 (Spain) (93000 euro), - . Principal investigator: José Carlos Díaz Ramos.
Simetría, curvatura y rigidez de estructuras geométricas (Symmetry, curvature and rigidity of geometric structures), Ministry of Science and Innovation MTM2013-41335-P (Spain) (47700 euro), - . Principal investigator: José Carlos Díaz Ramos, Eduardo García Río.
Isometric actions, European Commission PERG04-GA-2008-239162 (45000 euro), - . Principal investigator: José Carlos Díaz Ramos.
Participation in research projects
Consolidación e estructuración das unidades de investigación do sistema universitario de Galicia. Grupos de referencia competitiva (Consolidation and structuring of research units within the Galician university system. Research groups of competitive reference), Galician government ED431C 2023/031 (Spain) (280000 euros), - . Principal investigator: Antonio Gómez Tato.
Subvariedades, curvatura y ecuaciones geométricas desde la perspectiva de la simetría (Submanifolds, curvature and geometric equations from the viewpoint of symmetry), Agencia Estatal de Investigación PID2022-138988NB-I00 (Spain) (115000 euro), - . Principal investigator: Miguel Domínguez Vázquez, Miguel Brozos Vázquez.
Aspectos xeométricos e analíticos da simetría (Geometric and analytic aspects of symmetry), Galician government ED431F 2020/04 (Spain) (115000 euro), - . Principal investigator: Miguel Domínguez Vázquez.
Consolidación e estructuración das unidades de investigación do sistema universitario de Galicia. Grupos de referencia competitiva (Consolidation and structuring of research units within the Galician university system. Research groups of competitive reference), Galician government ED431C 2019/10 (Spain) (190000 euro), - . Principal investigator: Eduardo García Río.
Consolidación e estructuración. REDES 2016 GI-1561 IEMath-Galicia (Consolidation and structuring), Galician government R2016/022 (Spain) (120000 euro), - . Principal investigator: Juan José Nieto Roig.
Consolidación e estructuración das unidades de investigación do sistema universitario de Galicia. Grupos de referencia competitiva (Consolidation and structuring of research units within the Galician university system. Research groups of competitive reference), Galician government GRC2013-045 (Spain) (185000 euro), - . Principal investigator: Eduardo García Río.
Consolidación e estructuración. REDES GI-1561 IEMATH-GALICIA (Consolidation and structuring), Galician government R2014/002 (Spain) (120000 euro), - . Principal investigator: Juan José Nieto Roig.
Rede IEMath-Galicia. Consolidación e estructuración de unidades de investigación competitivas 2012 (IEMath-Galicia net. Consolidation and structuring of competitive research units 2012), Galician government CN2012/077 (Spain) (120000 euro), - . Principal investigator: Juan José Nieto Roig.
Consolidación e estructuración das unidades de investigación do sistema galego de I+D+I. Grupos de investigación (Consolidation and structuring of research units within the Galician system of R+D+I. Research groups), Galician government IN845B-2010/135 (Spain) (26600 euro), - . Principal investigator: Eduardo García Río.
Curvatura y simetría en geometría semi-riemanniana (Curvature and symmetry in semi-Riemannian Geometry), Ministry of Science and Innovation MTM2009-07756 (Spain) (130075.01 euro), - . Principal investigator: Eduardo García Río.
Curvatura e estructura de variedades de Lorentz (Curvature and structure of Lorentzian manifolds), Galician government INCITE09 207 151 PR (Spain) (99710 euro), - . Principal investigator: Eduardo García Río.
Consolidación y estructuración de las unidades de investigación del sistema gallego de I+D+I. Grupos de investigación (Consolidation and structuring of research units within the Galician system of R+D+I. Research groups), Galician government INCITE09 ENA 207024ES (Spain) (28000 euro), - . Principal investigator: Eduardo García Río.
Geometría de Lorentz: estructura de espacio-tiempos relativistas (Lorentizian geometry: structure of relativistic space-times), Galician government PGIDIT 06 PXI B207054PR (Spain) (69920 euro), - . Principal investigator: E. García-Río.
Symmetry and shape, European Commission MEIF-CT-2006-038754 (147640.42 euro), - . Principal investigator: Jürgen Berndt.
Influencia geométrica de Propiedades Intrínsecas y Extrínsecas de la Curvatura (Geometric influence of intrinsic and extrinsic curvature properties), Ministry of Science and Technology MTM2006-01432 (Spain) (69091 euro), - . Principal investigator: E. García-Río.
Geometría y Topología de variedades con estructuras especiales: curvatura (Geometry and Topology of manifolds with special structures: curvature), Ministry of Science and Technology MTM2005-08757-C04-01 (Spain) (17850 euro), - . Principal investigator: Luis A. Cordero.
Influencia xeométrica de propiedades de operadores e invariantes asociados á curvatura (Geometric influence of properties of operators and invariants associated with curvature), Galician Government PGIDIT 04 PXI C020701PN (Spain) (28300 euro), - . Principal investigator: Luis A. Cordero.
Propiedades geométricas y topológicas de variedades simplécticas no-Kählerianas y de variedades complejas. SU(3) variedades (Geometric and topological properties of non-Kählerian symplectic manifolds and complex manifolds. SU(3)-manifolds), Galician Government PGIDIT 02 PXI C20702PN (Spain) (12561 euro), - . Principal investigator: Luis A. Cordero.
Teaching projects
MatHex (FisiHex, BioHex, QuimiHex...) juego, estrategia y conocimientos, Ministerio de Economía, Industria y Competitividad FCT-17-12196 (Spain) (12000 euro), - . Principal investigator: M. Elena Vázquez Abal.
ESTALMAT-Galicia: Estímulo del talento matemático de estudiantes en Galicia entre los 12 y los 15 años (Encouragement of Mathematical talent of Galician students between 12 and 15), Ministry of Economy, Industry and Competitivity FCT-16-11110 (Spain) (12000 euro), - . Principal investigator: Maria Elena Vázquez Cendón.
ESTALMAT-Galicia: Estímulo del talento matemático de estudiantes en Galicia entre los 12 y los 15 años (Encouragement of Mathematical talent of Galician students between 12 and 15), Ministry of Economy, Industry and Competitivity FCT-15-9979 (Spain) (12000 euro), - . Principal investigator: Maria Elena Vázquez Cendón.
Métodos computacionais en Xeometría Differencial (Computational methods in Differential Geometry), University of Santiago de Compostela (3000 euro), - . Principal investigator: E. García-Río.
Visualización, manipulación y cálculos de Geometría Diferencial con Mathematica (Visualization, manipulation and calculations in Differential Geometry with Mathematica), University of Santiago de Compostela (1200 euro), - . Principal investigator: E. García-Río.
Patents
Tie-breaking rules for chess tournaments: A breath of fresh air (by M. Brozos-Vázquez, M. A. Campo-Cabana, J. C. Díaz-Ramos, J. González-Díaz). Regional office for intelectual property (Galicia, Spain) Ref.: SC/236/9. Date: .
Research stays
Universität Stuttgart, Stuttgart, Germany, -.
King’s College, London, UK, -.
IMPA - Instituto Nacional de Matemática Pura e Aplicada, Rio de Janeiro, Brazil, - .
Universität zu Köln, Cologne, Germany, -.
Technitsche Universität Darmstadt, Darmstadt, Germany, -.
King’s College, London, UK, -.
Universität zu Köln, Cologne, Germany, -.
King’s College, London, UK, - .
Universität zu Köln, Cologne, Germany, - .
Universität Augsburg, Augsburg, Germany, -.
King’s College, London, UK, -.
University College Cork, Cork, Ireland, - .
University of Hiroshima, Hiroshima, Japan, - .
University College Cork, Cork, Ireland, - .
University College Cork, Cork, Ireland, - .
University College Cork, Cork, Ireland, - .
University of Hull, Hull, UK, - .
Advisorship of students
Tomás Otero Casal: Homogeneous hypersurfaces in symmetric spaces, Ph.D. thesis, University of Santiago de Compostela, .
Diego Teijo Barral: Espazos simétricos, master thesis, University of Santiago de Compostela, .
Alberto Rodríguez Vázquez: Homogeneous hypersurfaces and totally geodesic submanifolds, Ph.D. thesis, University of Santiago de Compostela, .
Juan Manuel Lorenzo Naveiro: Foliaciones polares homogéneas en espacios simétricos (Homogeneous polar foliations in symmetric spaces), master thesis, University of Santiago de Compostela, .
Olga Pérez Barral: Ruled hypersurfaces and homogeneous submanifolds in semi-Riemannian manifolds, Ph.D. thesis, University of Santiago de Compostela, .
Víctor Sanmartín López: Homogeneous submanifolds and isoparametric hypersurfaces in symmetric spaces of noncompact type, Ph.D. thesis, University of Santiago de Compostela, .
Alberto Rodríguez Vázquez: Hipersuperficies con curvaturas principais constantes en variedades Kähler con curvatura seccional holomorfa constante (Hypersurfaces with constant principal curvatures in Kähler manifolds of constant holomorphic sectional curvature), master thesis, University of Santiago de Compostela, .
Olga Pérez Barral: Acciones isométricas en el espacio-tiempo de Minkowski (Isometric actions on Minkowski spacetimes), master thesis, University of Santiago de Compostela, .
Cristina Vidal Castiñeira: Submanifolds in complex projective and hyperbolic planes, Ph.D. thesis, University of Santiago de Compostela, .
Mohammad Javad Vanaei: Cohomogeneity one Lorentzian Manifolds of Constant Curvature, Ph.D. thesis, Tarbiat Modares University, .
Víctor Sanmartín López: Hipersuperficies isoparamétricas en el espacio hiperbólico complejo (Isoparametric hypersurfaces in the complex hyperbolic space), master thesis, University of Santiago de Compostela, .
Cristina Vidal Castiñeira: Hipersuperficies reais con dúas curvaturas principais nos planos proxectivo e hiperbólico complexos (Real hypersurfaces with two principal curvatures in complex projective and hyperbolic planes), master thesis, University of Santiago de Compostela, .
Miguel Domínguez Vázquez: Isoparametric foliations and polar actions on complex space forms, Ph.D. thesis, University of Santiago de Compostela, .
Sandra Sambade Nieto: Matemáticas e Arquitectura: Forma e Función (Mathematics and arquitecture: shape and function), master thesis, University of Santiago de Compostela, .
Miguel Domínguez Vázquez: Hipersuperficies con curvaturas principais constantes nos espazos proxectivo e hiperbólico complexos (Hypersurfaces with constant principal curvatures in complex projective and hyperbolic spaces), DEA, University of Santiago de Compostela, .
Alexandre Andrés Cortés Ayaso: Métricas de Walker: estructura simpléctica das variedades de Osserman (Walker metrics: symplectic structure of Osserman manifolds), DEA, University of Santiago de Compostela, .
Organization of scientific events
Symmetry and shape, Celebrating the 60th birthday of Prof. E. García Río, Santiago de Compostela, Spain, -.
XXXI International Fall Workshop on Geometry and Physics, Santiago de Compostela, Spain, -.
Symmetry and shape, Santiago de Compostela, Spain, -.
Submanifolds and differential equations in geometry, Santiago de Compostela, Spain, .
Symmetry and shape, Santiago de Compostela, Spain, -.
Symmetry and shape, Celebrating the 60th birthday of Prof. J. Berndt, Santiago de Compostela, Spain, -.
Curso de Introdución á xenética cuantitativa (Introduction to quantitative genetics), Santiago de Compostela, Spain, -.
Differential Geometry days, Santiago de Compostela, Spain, -.
Conference in Geometry and Global Analysis, Santiago de Compostela, Spain, -.
Workshop on Differential Geometry and Relativity, Cedeira, Spain, - .
"Vidal Abascal" Seminar, Department of Geometry and Topology of the University of Santiago de Compostela, Santiago de Compostela, Spain, .
"Vidal Abascal" Seminar, Department of Geometry and Topology of the University of Santiago de Compostela, Santiago de Compostela, Spain, - .
Seminario de Iniciación á Investigación (Initiation to research seminar), University of Santiago de Compostela, Santiago de Compostela, Spain, - .
Management of research activities
Symmetry and shape, Celebrating the 60th birthday of Prof. J. Berndt (organization/funding by means of a research project), University of Santiago de Compostela, Spain, -.
Homoxeneidade e curvatura de variedades e subvariedades (principal researcher), University of Santiago de Compostela, Spain, - .
Simetría, curvatura y ecuaciones diferenciales en geometría (principal researcher), University of Santiago de Compostela, Spain, - .
Simetría, homogeneidad y curvatura (principal researcher), University of Santiago de Compostela, Spain, - .
Simetría, curvatura y rigidez de estructuras geométricas (principal researcher), University of Santiago de Compostela, Spain, - .
Curso de Introdución á xenética cuantitativa (organization/funding by means of a research project), University of Santiago de Compostela, Spain, -.
Workshop on Differential Geometry and Relativity (organization/funding by means of a research project), University of Santiago de Compostela, Spain, - .
Isometric actions (principal researcher), University of Santiago de Compostela, Spain, - .
Science teaching materials with interactive support (IBM Award), Ciencia en acción (Science in action), Mention of Honor, .
Extraordinary doctoral award, University of Santiago de Compostela, .
Doctor Europeus, University of Santiago de Compostela, .
Award for the promotion of young researchers younger than 28, Galician Royal Academy of Science, .
SOFMAT-04, I National contest on application of mathematical software in science and engineering, Addlink Software Científico S.L. (Spain), Wolfram award (best work in the category Mathematica) and Addlink award (best overall work), .
Extraordinary graduation award, University of Santiago de Compostela, .
National graduation awards, Ministry of Education, Culture and Sport (Spain), third position, .
Galician graduation awards, Galician Government (Spain), .
Galician Physics Olimpiad, University of Santiago de Compostela, second position, .
Extraordinary high school award, Galician Government (Spain), .
Teaching experience
University teaching
Geometry and Topology of manifolds (Master in Mathematics), University of Santiago de Compostela, 2024-2025. Teaching load (hours): 24.
Global Theory of Surfaces (Degree in Mathematics), University of Santiago de Compostela, 2023-2024. Teaching load (hours): 74.
Mathematics and Statistics II (Degree in Farmacy), University of Santiago de Compostela, 2023-2024. Teaching load (hours): 95.
Geometry and Topology of manifolds (Master in Mathematics), University of Santiago de Compostela, 2023-2024. Teaching load (hours): 30.
Global Theory of Surfaces (Degree in Mathematics), University of Santiago de Compostela, 2022-2023. Teaching load (hours): 45.
Mathematics and Statistics II (Degree in Farmacy), University of Santiago de Compostela, 2022-2023. Teaching load (hours): 85.
Geometry and Topology of manifolds (Master in Mathematics), University of Santiago de Compostela, 2022-2023. Teaching load (hours): 54.
Curves and surfaces (Degree in Mathematics), University of Santiago de Compostela, 2021-2022. Teaching load (hours): 36.
Mathematics and Statistics II (Degree in Farmacy), University of Santiago de Compostela, 2021-2022. Teaching load (hours): 105.
Geometry and Topology of manifolds (Master in Mathematics), University of Santiago de Compostela, 2021-2022. Teaching load (hours): 33.
Curves and surfaces (Degree in Mathematics), University of Santiago de Compostela, 2020-2021. Teaching load (hours): 35.
Mathematics and Statistics II (Degree in Farmacy), University of Santiago de Compostela, 2020-2021. Teaching load (hours): 105.
Geometry and Topology of manifolds (Master in Mathematics), University of Santiago de Compostela, 2020-2021. Teaching load (hours): 33.
Mathematics and Statistics II (Degree in Farmacy), University of Santiago de Compostela, 2019-2020. Teaching load (hours): 135.
Geometry and Topology of manifolds (Master in Mathematics), University of Santiago de Compostela, 2019-2020. Teaching load (hours): 28.
Mathematics and Statistics II (Degree in Farmacy), University of Santiago de Compostela, 2018-2019. Teaching load (hours): 95.
Riemannian geometry (Master in Mathematics), University of Santiago de Compostela, 2018-2019. Teaching load (hours): 10.
Topology of Euclidean spaces (Degree in Mathematics), University of Santiago de Compostela, 2017-2018. Teaching load (hours): 66.
Riemannian geometry (Master in Mathematics), University of Santiago de Compostela, 2017-2018. Teaching load (hours): 5.
Topology of Euclidean spaces (Degree in Mathematics), University of Santiago de Compostela, 2016-2017. Teaching load (hours): 72.
Riemannian geometry (Master in Mathematics), University of Santiago de Compostela, 2016-2017. Teaching load (hours): 8.
Topology of Euclidean spaces (Degree in Mathematics), University of Santiago de Compostela, 2015-2016. Teaching load (hours): 71.
Riemannian geometry (Master in Mathematics), University of Santiago de Compostela, 2015-2016. Teaching load (hours): 9.
Topology of Euclidean spaces (Degree in Mathematics), University of Santiago de Compostela, 2014-2015. Teaching load (hours): 69.
Riemannian geometry (Master in Mathematics), University of Santiago de Compostela, 2014-2015. Teaching load (hours): 12.
Topology of Euclidean spaces (Degree in Mathematics), University of Santiago de Compostela, 2013-2014. Teaching load (hours): 79.
Curves and surfaces (Degree in Mathematics), University of Santiago de Compostela, 2013-2014. Teaching load (hours): 16.
Riemannian geometry (Master in Mathematics), University of Santiago de Compostela, 2013-2014. Teaching load (hours): 9.
Topology of Euclidean spaces (Degree in Mathematics), University of Santiago de Compostela, 2012-2013. Teaching load (hours): 89.
Curves and surfaces (Degree in Mathematics), University of Santiago de Compostela, 2012-2013. Teaching load (hours): 12.
Riemannian geometry (Master in Mathematics), University of Santiago de Compostela, 2012-2013. Teaching load (hours): 18.
Topology of Euclidean spaces (Degree in Mathematics), University of Santiago de Compostela, 2011-2012. Teaching load (hours): 96.
Riemannian geometry (Master in Mathematics), University of Santiago de Compostela, 2011-2012. Teaching load (hours): 24.
Topology of Euclidean spaces (Degree in Mathematics), University of Santiago de Compostela, 2010-2011. Teaching load (hours): 96.
Riemannian geometry (Master in Mathematics), University of Santiago de Compostela, 2010-2011. Teaching load (hours): 24.
Global theory of Surfaces (Degree in Mathematics), University of Santiago de Compostela, 2009-2010. Teaching load (hours): 90.
Riemannian geometry (Master in Mathematics), University of Santiago de Compostela, 2009-2010. Teaching load (hours): 25.
Computer packages in Mathematics (Mathematical Studies), University College Cork, 2007-2008. Teaching load (hours): 24 (theory) + 20 (practical) + 26 (preparation).
Metric Spaces and Topology (Mathematics), University College Cork, 2006-2007. Teaching load (hours): 24 (theory) + 10 (practical) + 16 (preparation).
Mathematics (Degree in Pharmacy), University of Santiago de Compostela, 2005-2006. Teaching load (hours): 60.
Topology of Euclidean spaces (Degree in Mathematics), University of Santiago de Compostela, 2004-2005. Teaching load (hours): 15.
Riemannian geometry (Degree in Mathematics), University of Santiago de Compostela, 2003-2004. Teaching load (hours): 15.
Topology of Euclidean spaces (Degree in Mathematics), University of Santiago de Compostela, 2003-2004. Teaching load (hours): 15.
Topology of Euclidean spaces (Degree in Mathematics), University of Santiago de Compostela, 2003-2004. Teaching load (hours): 15.
Teaching projects
MatHex (FisiHex, BioHex, QuimiHex...) juego, estrategia y conocimientos, Ministerio de Economía, Industria y Competitividad FCT-17-12196 (Spain) (12000 euro), - . Principal investigator: M. Elena Vázquez Abal.
ESTALMAT-Galicia: Estímulo del talento matemático de estudiantes en Galicia entre los 12 y los 15 años (Encouragement of Mathematical talent of Galician students between 12 and 15), Ministry of Economy, Industry and Competitivity FCT-16-11110 (Spain) (12000 euro), - . Principal investigator: Maria Elena Vázquez Cendón.
ESTALMAT-Galicia: Estímulo del talento matemático de estudiantes en Galicia entre los 12 y los 15 años (Encouragement of Mathematical talent of Galician students between 12 and 15), Ministry of Economy, Industry and Competitivity FCT-15-9979 (Spain) (12000 euro), - . Principal investigator: Maria Elena Vázquez Cendón.
Métodos computacionais en Xeometría Differencial (Computational methods in Differential Geometry), University of Santiago de Compostela (3000 euro), - . Principal investigator: E. García-Río.
Visualización, manipulación y cálculos de Geometría Diferencial con Mathematica (Visualization, manipulation and calculations in Differential Geometry with Mathematica), University of Santiago de Compostela (1200 euro), - . Principal investigator: E. García-Río.
Teaching publications
J. C. Díaz-Ramos, A. M. Gómez-Tato, E. Macías-Virgós: Matemáticas e estatística II: conceptos e fórmulas da estatística no Grao de Farmacia, Esenciais USC, Universidade de Santiago de Compostela, 2020.
J. C. Díaz-Ramos: Matemáticas e Estatística II, Minerva (repositorio institucional da USC), AC-Materiais didácticos, Universidade de Santiago de Compostela, 2021.
J. C. Díaz-Ramos: Topoloxía dos espazos euclidianos, Minerva (repositorio institucional da USC), AC-Materiais didácticos, Universidade de Santiago de Compostela, 2021.
Talks (education)
Programación en Mathematica, SAM - IMAT: School of Advanced Mathematics, Faculty of Mathematics, University of Santiago de Compostela, Spain, - .
Álxebras de Clifford e as súas aplicacións na Física, SAM - IMAT: School of Advanced Mathematics, Faculty of Mathematics, University of Santiago de Compostela, Spain, - .
Crecemento e forma, I Xornada Biomatemáticas, Santiago de Compostela, Spain, .
Experiencia en primero de grado, II Xornadas sobre metodoloxías docentes no Grao de Matemáticas, Santiago de Compostela, Spain, -.
Habilitations
Complemento de recoñecemento á excelencia curricular docente e investigadora, ACSUG, Xunta de Galicia, .
Catedrático de universidad, Ministerio de Universidades, .
Exención del requisito de pertenecer al Cuerpo de Profesores Titulares de Universidad para presentarse a la Acreditación de Catedrático de Universidad, Ministerio de Universidades, .
Complemento de recoñecemento ao labor investigador, ACSUG, Xunta de Galicia, .
Complemento de recoñecemento ao labor docente, ACSUG, Xunta de Galicia, .
3 sexenios, CNEAI, .
4 quinquenios, University of Santiago de Compostela, .
Profesor Titular de universidad, Ministerio de Educación, Cultura y Deporte, .
Profesor Contratado Doctor, Ministerio de Educación y Ciencia, .
Profesor de universidad privada, Ministerio de Educación y Ciencia, .
Profesor Ayudante Doctor, Ministerio de Educación y Ciencia, .
Profesor Colaborador, Ministerio de Educación y Ciencia, .
Experience in evaluation of research
Ramón y Cajal and Juan de la Cierva Formación 2023 contracts: Ayudas Ramón y Cajal y Juan de la Cierva Formación 2023.
Evaluation of research projects (AEI): Proyectos de Excelencia de la Agencia Estatal de Investigación (2021), Spain.
Evaluation of research projects (local government of Murcia): Fundación Séneca de Murcia, Ayudas a grupos y unidades excelencia 2015-2021 , Región de Murcia, Spain.
Evaluation of research projects (local government of Andalucia): Proyectos de Excelencia de la Consejería de Economía, Innovación, Ciencia y Empleo de la Junta de Andalucía (2020), Spain.
Evaluation of research projects (AEI): Proyectos de Excelencia de la Agencia Estatal de Investigación (2019), Spain.
Evaluation of research projects (AEI): Proyectos de Excelencia de la Agencia Estatal de Investigación (2018), Spain.
Evaluation of the Ph.D. thesis of Ildefonso Castro Infantes': Universidad de Granada 2018; advisors: Antonio Alarcón López, Francisco J. López Fernández.
Evaluation of research projects (AEI): Proyectos de Excelencia de la Agencia Estatal de Investigación (2017), Spain.
Evaluation of the Ph.D. thesis of Anton Reiswich's: Universität Stuttgart 2017; advisor: A. Kollross.
Evaluation of research projects (local government of Andalucia): Proyectos de Excelencia de la Consejería de Economía, Innovación, Ciencia y Empleo de la Junta de Andalucía (2012), Spain.
Referee: JP J. Geom. Top., Tamkang J. Math., Proyecciones J. Math., Acta Math. Sinica, Proceedings of the VIII Internacional Colloquium on Differential Geometry (x2), Boundary Value Problems, Bull. Korean Math. Soc. (x2), J. Geom. Physics (x3), Differential Geom. Appl. (x7), SIGMA, Lin. Algebra Appl., J. Math. Anal. Appl., Math. Nachrichten (x2), Bull. Belgian Math. Soc. (x3), Geom. Dedicata (x6), Central European J. Math. (x4), Rocky Mountain J. Math., Nonlinear Anal. (x2), Bull. Malaysian Math. Sciences Soc. (x2), Houston J. Math., J. Geom. (x2), Math. Physics Anal. Geom., Indagationes Math., Results Math., J. Geom. Anal. (x2), Monatsh. Math., Canad. Math. Bull., Math Scand., Glasgow J. Math., Int. Math. Res. Not., Transform. Groups., Trans. Amer. Math. Soc., Rev. Mat. Complut., Publ. Math. Debrecen, Comm. Anal. Geom., Publ. Mat., J. Differential Geom.
Mathematical Reviews: more than 40 reviews since 2005.
Languages
English: Certificate of Proficiency in English, University of Cambridge, .
French: Diplôme Approfondi de Langue Française, DALF C1, Ministère de l'Éducation Nationale, de la Jeunesse et de la Vie Associative, .
Galician: Celga 4, IES Nosa Sra. dos Ollos Grandes, .