(Sharp arithmetic) localization beyond transversality
S. Jitomirskaya, N. Levi, T. Stoiber
Preprint (2026). arxiv:2610.17139
Kubo Formulas and Bulk-Edge Correspondence for Curved Boundaries
A. Martinian, T. Stoiber
Preprint (2026). arXiv:2608.29524
The role of self-adjoint extensions in the bulk-edge correspondence
J. Kellendonk, T. Stoiber
Preprint (2025). arXiv:2510.01368
On Frustration-Free Quantum Spin Models
D. Polo Ojito, E. Prodan, T. Stoiber
Preprint (2025). arXiv:2507.03201
Published and accepted articles
Spectral continuity for étale groupoids with the rapid decay property
T. Stoiber
Proceedings of the American Mathematical Society 154, 2451–2465 (2026). arXiv:2509.24145
Invariant measures on the transversal hull of cone semigroups and some applications
D. Polo Ojito, E. Prodan, T. Stoiber
Journal of Noncommutative Geometry, published online (2026). DOI: 10.4171/JNCG/651. arXiv:2507.06757
A space-adiabatic approach for bulk-defect correspondences in lattice models of topological insulators
D. Polo Ojito, E. Prodan, T. Stoiber
Annales Henri Poincaré, to appear. arXiv:2410.24097
C*-framework for higher-order bulk-boundary correspondences
D. Polo Ojito, E. Prodan, T. Stoiber
Communications in Mathematical Physics 406, 233 (2025). arXiv:2406.04226
A spectral localizer approach to strong topological invariants in the mobility gap regime
T. Stoiber
Communications in Mathematical Physics 406, 184 (2025). arXiv:2410.22214
Topological Spectral Bands with Frieze Groups
F. Lux, T. Stoiber, S. Wang, G. Huang, E. Prodan
Journal of Mathematical Physics 65, 063502 (2024). arXiv:2209.12306
The generators of the K-groups of the sphere
H. Schulz-Baldes, T. Stoiber
Expositiones Mathematicae 41, 125519 (2023). arXiv:2403.18944
Spectral localization for semimetals and Callias operators
H. Schulz-Baldes, T. Stoiber
Journal of Mathematical Physics 64, 081901 (2023). arXiv:2203.15014
Callias-type operators associated to spectral triples
H. Schulz-Baldes, T. Stoiber
Journal of Noncommutative Geometry 17, 527–572 (2023). arXiv:2108.06368
Invariants of disordered semimetals via the spectral localizer
H. Schulz-Baldes, T. Stoiber
EPL 136, 27001 (2021). arXiv:2108.06366
The spectral localizer for semifinite spectral triples
H. Schulz-Baldes, T. Stoiber
Proceedings of the American Mathematical Society 149, 121–134 (2021). arXiv:2004.13092
Harmonic Analysis in Operator Algebras and its Applications to Index Theory and Topological Solid State Systems
H. Schulz-Baldes, T. Stoiber
Mathematical Physics Studies, Springer (2022). arXiv:2206.07781
Index theory and bulk-boundary correspondence of topological insulators and semimetals
T. Stoiber
Doctoral dissertation, FAU Erlangen–Nürnberg. Degree awarded in 2022; repository publication in 2023. Dissertation full text