Curriculum Vitae

(brief)

Born in A Coruña, Spain, on June 3rd, 1970. Nationality: Spanish.

Academic Degrees

• February 1995 Degree in Mathematics at Universidad Complutense of Madrid, Madrid.

• January 2003 Ph. D. in Mathematics at Universidad Complutense of Madrid, Madrid. Thesis: Splitting bundles on G(1, 4) and its subvarieties. Advisor: Prof. Enrique Arrondo Esteban.

Positions

• December 28th, 1998 to February 3rd, 2002: Ayudante de Escuela Universitaria (Teaching Assistant) (University of Salamanca).

• February 4th, 2002 to September 18th, 2006: Ayudante de Facultad (Assistant Professor), University of Salamanca.

• September 19th, 2006 to March 22nd, 2011: Professor Ayudante Doctor (Assistant Professor), University of Salamanca.

• January first to May 31st, 2008: Visiting Professor, University of Pennsylvania, Faculty of Arts and Science, Department of Mathematics, David Rittenhouse Laboratory.

• March 23rd, 2011 to present: Professor Contratado Doctor (Associate Professor), University of Salamanca.

Publications

• ArrondoE. and Graña, B. Escisión de fibrados en G(1, 4) y subvariedades. Sección de publicaciones de la Universidad Complutense de Madrid (2004).

• Arrondo E. and Graña, B. Vector bundles on G(1, 4) without intermediate cohomology. J. Algebra 214 (1999) 128-142.

• Arrondo E. and Graña Otero, B. Congruences on G(1,4) with split universal quotient bundle. J. Geom. Physics 56 (2006) 1057-1067.

• Bruzzo, U. and Graña Otero, B. Numerically flat Higgs vector bundles. Communications in Contemporary Mathematics 9 (2007), 437–446.

• Bruzzo, U and Graña Otero, B. Numerical properties of Higgs bundles. Proceedings of the Workshop on Vector Bundles and Low Codimensional Subvarieties, Trento, World Scientific, Singapur Sept 2007.

• Bruzzo, U and Graña Otero, B. Metrics on semistable and numerically effective Higgs bundles. Journal für die reine und angewandte Mathematik. 612 (2007), 59–79.

• Graña Otero, B. Jordan Hölder filtration for principal Higgs bundle on curves. J. Geom. Physics 60 (2010), no.11 1852-1859.

• Bruzzo, U and Graña Otero, B. Semistable and numerically effective principal (Higgs) bundles. Adv. in Math 226 (2011) 3655–3676.

Books

• Chamoso, J. M., Graña, B., Rodríguez, M. and Zárate, J. Matemáticas desde la prensa. Colección Diálogos de Matemáticas, Ed. Nivola. Published: May 2005.