Chow—Witt Cohomology
- Jens Hornbostel, Matthias Wendt, Heng Xie, MZ.
The real cycle class mapAnnals of K-Theory 6-2 (2021), 239—317.
(Longer version available from 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).
Also available from arxiv.org.
K-Theory and Curvature
- Manuel Amann, David González-Álvaro, MZ.
Vector bundles of non-negative curvature over cohomogeneity one manifolds
Adv. Math. 405 (2022), Paper No. 108477. Also available from arXiv.org.
- 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
The accompanying C++ code for generating Eschenburg spaces and computing their invariants is available from zenodo.
KO-Theory and Witt Rings
- Tobias Hemmert, MZ.
The Witt rings of many flag varieties are exterior algebras - The γ-filtration on the Witt ring of a scheme
- Nilpotence in Milnor-Witt K-Theory
Appendix to: 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
PhD thesis (2011). Also available from DSpace@Cambridge.
- Comparing Grothendieck-Witt Groups of a Complex
Variety to its Real Topological K-Groups
Smith-Knight/Rayleigh-Knight Prize Essay (2009). Also available from DSpace@Cambridge.
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 (2020). Best Paper Award
Other directions
- Dual involutions in Coxeter groups