Chow—Witt Cohomology
- Jens Hornbostel, Matthias Wendt, Heng Xie, MZ.
The real cycle class mapAnnals of K-Theory 6-2 (2021), 239—317.
(Langfassung auf arxiv.org.) - Jens Hornbostel, Heng Xie, MZ.
Chow-Witt rings of split quadricsMotivic homotopy theory and refined enumerative geometry, 123—161, Contemp. Math., 745, Amer. Math. Soc., Providence, RI (2020).
Auch verfügbar auf arxiv.org.
Topological K-Theory and Curvature
- An extension of Steinberg's Theorem to biquotient pairs of subgroups
- Manuel Amann, David González-Álvaro, MZ.
Vector bundles of non-negative curvature over cohomogeneity one manifolds
Adv. Math. 405 (2022), Paper No. 108477. Auch auf arxiv.org verfügbar.
- David González-Álvaro, MZ.
The stable converse soul question for positively curved homogeneous spaces
- David González-Álvaro, MZ.
Open manifolds with non-homeomorphic positively curved souls
Math. Proc. Camb. Phil. Soc. 169 (2020), 357–376
Das zugehörige C++-Programm zur Erzeugung von Eschenburg-Räumen und zur Berechnung ihrer Invarianten ist auf zenodo verfügbar.
KO-Theory, Hermitian K-theory and Witt Rings
- Jens Hornbostel, Herman Rohrbach, MZ.
Atiyah-Segal completion for the Hermitian K-theory of Symplectic GroupsAngenommen zur Veröffentlichung in Algebraic & Geometric Topology. arxiv-Preprint
- Tobias Hemmert, MZ.
The Witt rings of many flag varieties are exterior algebras - The γ-filtration on the Witt ring of a scheme
Q. J. Math. 69 (2018), Nr. 2, 549–583.
- Nilpotence in Milnor-Witt K-Theory
Anhang zu: Hornbostel, Jens: Some comments on motivic nilpotence
Trans. Amer. Math. Soc. 370 (2018), 3001–3015 - Symmetric representation rings are λ-rings
- KO-Rings of Full Flag Varieties
- Witt Groups of Curves and Surfaces
- Twisted Witt Groups of Flag Varieties
- Witt Groups of Complex Cellular Varieties
Documenta Math. 16 (2011), 465–511.
- Witt Groups of Complex Varieties
Dissertation (2011). Auch auf DSpace@Cambridge verfügbar.
- Comparing Grothendieck-Witt Groups of a Complex
Variety to its Real Topological K-Groups
Smith-Knight/Rayleigh-Knight Prize Essay (2009). Auch auf DSpace@Cambridge verfügbar.
Topological Data Analysis
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Benjamin Matthias Ruppik, Michael Heck, Carel van Niekerk, Renato Vukovic, Hsien-chin Lin, Shutong Feng, MZ, Milica Gašić.
Local Topology Measures of Contextual Language Model Latent Spaces With Applications to Dialogue Term Extraction
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Renato Vukovic, Michael Heck, Benjamin Ruppik, Carel van Niekerk, MZ, Milica Gašic.
Dialogue Term Extraction using Transfer Learning and Topological Data Analysis
- Alexander Jakubowski, Milica Gasic, MZ.
Topology of Word Embeddings: Singularities Reflect Polysemy
Proceedings of the Ninth Joint Conference on Lexical and Computational Semantics (*SEM 2020), 103—113, Association for Computational Linguistics. Best Paper Award
Other directions
- Dual involutions in Coxeter groups
Communications in Algebra, 52:3 (2024), 1028–1037.
Eingereichte Fassung verfügbar auf arxiv.org.