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Publications

Most of my (pre)publications are also available on my arXiv page.

Here is the list. Click on one of them to obtain a summary and a pdf version.

• A motivic spectrum representing hermitian K-theory (preprint, 2024)
  

  with Yonatan Harpaz and Denis Nardin

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• Hermitian K-theory for stable ∞-categories III: Grothendieck-Witt groups of rings (preprint, 2020)
  

  with Emanuele Dotto, Yonatan Harpaz, Fabian Hebestreit, Markus Land, Kristian Moi, Denis Nardin, Thomas Nikolaus and Wolfgang Steimle

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• Hermitian K-theory for stable ∞-categories II: Cobordism categories and additivity (to appear, Acta Mathematica)
  

  with Emanuele Dotto, Yonatan Harpaz, Fabian Hebestreit, Markus Land, Kristian Moi, Denis Nardin, Thomas Nikolaus and Wolfgang Steimle

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• Hermitian K-theory for stable ∞-categories I: Foundations (2022, Selecta Mathematica)
  

  with Emanuele Dotto, Yonatan Harpaz, Fabian Hebestreit, Markus Land, Kristian Moi, Denis Nardin, Thomas Nikolaus and Wolfgang Steimle

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• Milnor-Witt motives (to appear, Memoirs of the American Mathematical Society)
  

  with Tom Bachmann, Frédéric Déglise, Jean Fasel and Paul Arne Østvær

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• Formal affine Demazure and Hecke algebras of Kac-Moody root systems (2020, Algebra and Representation Theory)
  

  with Kirill Zainoulline and Changlong Zhong

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• Relative equivariant motives and modules (2021, Canadian Journal of Mathematics)
  

  with Alexander Neshitov and Kirill Zainoulline

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• A comparison theorem for MW-motivic cohomology (preprint, 2014)
  

  with Jean Fasel

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• Finite Chow-Witt correspondences (preprint, 2014)
  

  with Jean Fasel

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• Equivariant oriented cohomology of flag varieties (2015, Documenta Mathematica)
  

  with Kirill Zainoulline and Changlong Zhong

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• Groupes classiques (2015, Panorama et synthèses)
  

  with Jean Fasel

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• Push-pull operators on the formal affine Demazure algebra and its dual (2019, Manuscripta Mathematica)
  

  with Kirill Zainoulline and Changlong Zhong

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• A coproduct structure on the formal affine Demazure algebra (2015, Mathematische Zeitschrift)
  

  with Kirill Zainoulline and Changlong Zhong

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• Bases of total Witt groups and lax-similitude (2012, Journal of algebra and its applications)
  

  with Paul Balmer

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• Trivial Witt groups of flag varieties (2012, Journal of pure and applied algebra)
  

  with Jean Fasel

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• Invariants, torsion indices and oriented cohomology of complete flags (2013, Annales scientifiques de l'École normale supérieure)
  

  with Victor Petrov and Kirill Zainoulline

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• Witt groups of Grassmann varieties (2012, Journal of algebraic geometry)
  

  with Paul Balmer

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• Geometric description of the connecting homomorphism for Witt groups (2009, Documenta Mathematica)
  

  with Paul Balmer

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• Push-forwards for Witt groups of schemes (2009, Commentarii Mathematici Helvetici)
  

  with Jens Hornbostel

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• Tensor-triangulated categories with dualities (2009, Theory and applications of categories)
  

  with Jens Hornbostel

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• Chow motives of twisted flag varieties (2006, Compositio Mathematica)
  

  with Victor Petrov, Nikita Semenov and Kirill Zainoulline

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• Witt motives, transfers and reductive groups (preprint, 2004)
  

  with Jens Hornbostel

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• SK₂ of a biquaternion algebra (2007, Journal für die Reine und Angewandte Mathematik)
  

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• Le groupe SK₂ d'une algèbre de biquaternions (2003, Comptes rendus mathématique de l'Académie de Sciences)