Ben Elias (mathematician)

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Benjamin "Ben" Elias (born December 27, 1983 ) is an American mathematician.

Elias graduated from Princeton University with a bachelor's degree in 2005 and received his PhD from Columbia University with Mikhail Khovanov in 2011 (Soergel diagrammatics for dihedral groups). He was a post-doctoral student at the Massachusetts Institute of Technology with Roman Bezrukavnikov and is an Assistant Professor at the University of Oregon (2016).

He deals with geometric representation theory and categorization and worked with Geordie Williamson on the Kazhdan-Lusztig conjectures and Soergel bimodules.

For 2017 he received the New Horizons in Mathematics Prize .

Fonts

  • with Khovanov: Diagramatics for Soergel categories, Int. J. Math. And Math. Sciences, 2010, Arxiv
  • with Libedinsky: Indecomposable Soergel bimodules for universal Coxeter groups, Transactions of the American Mathematical Society, Volume 369, 2016, 3883-3910, Arxiv
  • with Williamson: The Hodge theory of Soergel bimodules, Annals of Mathematics, Volume 180, 2014, 1089–1136, Arxiv
  • with Williamson: Kazhdan-Lusztig conjectures and shadows of Hodge theory, Preprint 2014, Arxiv
  • with Williamson: Soergel Calculus, Representation Theory, Volume 20, 2016, pp. 295–374, Arxiv
  • with Williamson: Diagramatics for Coxeter groups and braid groups, Arxiv 2014
  • A Diagramatic Temperley-Lieb Categorification, Int. J. Math. Math. Sci., 2010, Arxiv
  • with Krasner: Rouquier Complexes are Functorial over Braid Cobordisms, Arxiv 2009

Web links

Individual evidence

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