David Hernandez (mathematician)

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David Hernandez at MFO , 2013

David Hernandez (* 1978 ) is a French mathematician. He is a professor at the University of Paris VII (Denis Diderot).

He received his doctorate in 2004 under Marc Rosso at the University of Paris VI and the École normal supérieure ( Représentations des algèbres affinisées quantiques: q, t-caractères et produit de fusion ) In 2009 he completed his habilitation at the University of Paris VII ( Autour des représentations des algèbres quantiques : géométrie, dualité de Langlands et catégorification des algèbres cluster ).

Hernandez also teaches at the École polytechnique .

He deals with quantum groups , cluster algebras , infinitely dimensional Lie algebras (affine Kac-Moody algebras) and their representation theory and their connections with mathematical physics and algebraic geometry.

In 2013 he received the Prix ​​Jacques Herbrand .

Fonts (selection)

  • with Yves Laszlo: Introduction à la théorie de Galois , Ecole Polytechnique 2012
  • with Edward Frenkel Langland's duality for representations of quantum groups , Mathematische Annalen, Volume 349, 2011, pp. 705–746, Arxiv
  • with Frenkel Langlands duality for finite-dimensional representations of quantum affine algebras , Lett. Math. Phys., Volume 96, 2011, pp. 217-261, Arxiv
  • with Bernard Leclerc Cluster algebras and Quantum Affine Algebras , Duke Mathematical Journal, Volume 154, 2010, pp. 265–341, Arxiv
  • Kirillov-Reshetikhin conjecture: the general case , International Mathematics Research Notices 2010, No. 1, 149–193, Arxiv
  • with V. Chari Beyond Kirillov-Reshetikhin Modules , Contemporary Mathematics, Volume 506, 2010, pp. 49–81, Arxiv
  • Simple Tensor Products , Inventiones Mathematicae, Volume 181, 2010, pp. 649-675, Arxiv

Web links

Individual evidence

  1. David Hernandez in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used