Publications

Equivariant KK-theory of Bernoulli shifts on C*-algebras with approximately inner flip  (with S. Nishikawa), Preprint. (arXiv). This Preprint generalizes and subsumes the previous preprint K-theory of Bernoulli shifts of finite groups on UHF-Algebras.

PADAM: Parallel averaged Adam reduces the error for stochastic optimization in scientific machine learning (with A. Jentzen and A. Riekert), Preprint. (arXiv)

SAD Neural Networks: Divergent Gradient Flows and Asymptotic Optimality via o-minimal Structures (with D. Gallon, S. Dereich and A. Jentzen), accepted for NeurIPS, 2025. (arXiv)

Note on C*-algebras associated to boundary actions of hyperbolic 3-manifold groups (with S. Geffen), to appear in Münster J. of Math. (arXiv)

Actions on classifiable C*-algebras without equivariant property (SI) (with E. Gardella and A. Vaccaro), Bull. Lond. Math. Soc., 2024. (arXiv, journal)

Bernoulli shifts on additive categories and algebraic K-theory of wreath products (with S. Nishikawa), to appear in Algebr. Geom. Topol. (arXiv)

Tracially amenable actions and purely infinite crossed products (with E. Gardella, S. Geffen, P. Naryshkin and A. Vaccaro), Math. Ann., 2024. (arXiv, journal) 

K-theory of non-commutative Bernoulli Shifts (with S. Chakraborty, S. Echterhoff and S. Nishikawa), Math. Ann., 2023. (arXiv, journal)

K-theory of Bernoulli shifts of finite groups on UHF-Algebras (with S. Nishikawa), Preprint. (arXiv)

Amenability for actions of étale groupoids on C*-algebras and Fell bundles, Trans. Amer. Math. Soc., 2023. (arXiv, journal)

Classifiability of crossed products by nonamenable groups (with E. Gardella, S. Geffen and P. Naryshkin), J. Reine Angew. Math., 2023. (arXiv, journal) 

Partial tensor-product functors and crossed-product functors (with T. Siebenand), Proc. Amer. Math. Soc., 2022. (arXiv, journal)

The weak containment problem for étale groupoids which are strongly amenable at infinity, J. Oper. Theory., 2023. (arXiv, journal)

An identification of the Baum-Connes and Davis-Lück assembly maps, Münster J. of Math., 2021. (arXiv, journal)