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Luis Alvarez-consul

Scientist
Mathematics
Complutense University of Madrid
Spain

Biography

"Luis Álvarez Cónsul is científico titular (tenured position) at Instituto de Ciencias Matemáticas – ICMAT. His research interests lie in pure mathematics, specifically in algebraic geometry and differential geometry and in their interplay with representation theory and theoretical physics. He is especially interested in geometric structures associated to moduli spaces parametrizing objects of various kinds, such as bundles, quiver representations, algebraic varieties and solutions of equations of gauge type. Álvarez Cónsul carried out his undergraduate studies in Seville and Madrid, and obtained his PhD in physics at Universidad Autónoma de Madrid in 2000. He has held full-time academic positions at the University of Illinois at Urbana-Champaign as a research assistant professor, the University of Bath and CSIC. He has been a recipient of a Marie Curie fellowship and a Ramón y Cajal research contract. Álvarez Cónsul has written papers in algebraic geometry and differential geometry. His publications include articles in Inventiones Mathematicae, Geometry and Topology, Crelle and Communications in Mathematical Physics."

Research Interest

Algebraic and differential geometry

Publications

  • Álvarez-Cónsul L, Garcia-Fernandez M, García-Prada O. Gravitating vortices and the Einstein--Bogomol'nyi equations. arXiv preprint arXiv:1606.07699. 2016 Jun 24.

  • Álvarez-Cónsul L, Biswas I, García-Prada O. A Tannakian approach to dimensional reduction of principal bundles. Journal of Geometry and Physics. 2017 Jan 19.

  • Álvarez-Cónsul L, Garcia-Fernandez M, García-Prada O. Gravitating vortices, cosmic strings, and the Kähler–Yang–Mills equations. Communications in Mathematical Physics. 2017 Apr 1;351(1):361-85.

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