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Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

Raphaël Rouquier is affiliated with the University of California, Los Angeles in the United States. Their research primarily spans the field of Mathematics, with a focus on several subfields including Geometry and Topology, Mathematical Physics, Algebra and Number Theory, Discrete Mathematics and Combinatorics, and Artificial Intelligence.

The main topics addressed in Rouquier's work encompass algebraic structures and combinatorial models, advanced topics in algebra, advanced algebra and geometry, finite group theory research, advanced combinatorial mathematics, coding theory and cryptography, and graph theory and applications.

Recent publications by Raphaël Rouquier include:

  • "Cherednik algebras and Calogero-Moser cells" (2022, arXiv (Cornell University))
  • "Higher representations and cornered Heegaard Floer homology" (2020, arXiv (Cornell University))
  • "An asymptotic cell category for cyclic groups" (2020, Journal of Algebra)
  • "Brauer trees of unipotent blocks" (2020, Journal of the European Mathematical Society)
  • "Modular representations of finite groups and Lie theory" (2023, Journal of Algebra)

Frequent co-authors collaborating with Rouquier include Cédric Bonnafé, David Craven, Olivier Dudas, Andrew Manion, and Noah White.

The venues where this researcher often publishes include arXiv (Cornell University), Journal of Algebra, and Journal of the European Mathematical Society.

Raphaël Rouquier was recognized as a Fellow of the American Mathematical Society in 2013.

Best Publications

  • 2-Kac-Moody algebras

    Raphael Rouquier

  • Derived equivalences for symmetric groups and sl2-categorification

    Joseph Chuang;Raphaël Rouquier

  • Dimensions of triangulated categories

    Raphaël Rouquier

  • On the category O for rational Cherednik algebras

    Victor Ginzburg;Nicolas Guay;Eric Opdam;Raphaël Rouquier

  • Complex reflection groups, braid groups, Hecke algebras

    Raphaël Rouquier;Gunter Malle;Michel Broué

  • PICARD GROUPS FOR DERIVED MODULE CATEGORIES

    Raphaël Rouquier;Alexander Zimmermann

  • Quiver Hecke Algebras and 2-Lie Algebras

    Raphaël Rouquier;Raphaël Rouquier

  • q-Schur algebras and complex reflection groups, I

    Raphael Rouquier

  • Representation dimension of exterior algebras

    Raphaël Rouquier

  • Centers and simple modules for Iwahori-Hecke algebras

    Meinolf Geck;Raphaël Rouquier

  • Catégories dérivées et variétés de Deligne-Lusztig

    Cédric Bonnafé;Raphaël Rouquier

  • Caractérisation des caractères et Pseudo-caractères

    Raphaël Rouquier

  • Microlocalization of rational Cherednik algebras

    Masaki Kashiwara;Raphaël Rouquier

  • The derived category of blocks with cyclic defect groups

    Raphaël Rouquier

  • Derived categories and Deligne-Lusztig varieties II

    Cédric Bonnafé;Jean-François Dat;Raphaël Rouquier

  • Categorification of the braid groups

    Raphael Rouquier

  • Derived equivalences and finite dimensional algebras

    Raphaël Rouquier

  • Block theory via stable and Rickard equivalences

    Raphaël Rouquier

  • Categorifications and cyclotomic rational double affine Hecke algebras

    Raphaël Rouquier;Peng Shan;Michela Varagnolo;Eric Vasserot

  • Derived equivalences for symmetric groups and sl\_2-categorification

    Joseph Chuang;Raphael Rouquier

Frequent Co-Authors

Gunter Malle
Gunter Malle Technical University of Kaiserslautern
Masaki Kashiwara
Masaki Kashiwara Kyoto University
Meinolf Geck
Meinolf Geck University of Stuttgart
Victor Ginzburg
Victor Ginzburg University of Chicago

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