Preprints
Higher Lefschetz formulas on Γ-proper manifolds
(with Hessel Posthuma, Yanli Song and Xiang Tang).
Preprint December 2025. 61 pp.
arxiv:2512.14318
The G-signature Theorem on Witt spaces (with Markus Banagl and Eric Leichtnam).
Preprint November 2025. 29 pp.
arxiv:2511.21586
Classification of spinc manifolds with generalized positive scalar curvature
(with Boris Botvinnik and Jonathan Rosenberg).
Preprint July 2025. 49pp.
arxiv:2507.0209036.
Smooth atlas stratified spaces, K-Homology Orientations, and Gysin maps
(with Pierre Albin and Markus Banagl).
Preprint May 2025. 81 pp.
arXiv:2505.14952
Delocalized eta invariants of the signature operator on G-proper manifolds
(with Hessel Posthuma, Yanli Song, Xiang Tang).
Preprint April 2025. 41 pp. (updated version, with new title and new material, of arxiv 2307.09252)
Recent publications
Mapping analytic surgery to homology, higher rho numbers and metrics of positive scalar curvature
(with Thomas Schick and Vito Felice Zenobi),
Memoirs of the American Mathematical Society, 309 (2025), no. 1562, v+145 pp.
Higher orbital integrals, rho numbers and index theory
with Hessel Posthuma, Yanli Song, Xiang Tang), 81pp. Math. Annalen (2024)
Stability of L2-invariants on stratified spaces (with Francesco Bei and Boris Vertman),
International Mathematics Research Notices, 29 pp, (2024)
Primary and secondary invariants of Dirac operators on G-proper manifolds
(with Xiang Tang) Proceedings of Symposia in Pure Mathematics, Volume 105, 311-351, 2023.
Proceedings of the conference, Cyclic cohomology at 40. Achievements and future prospects.
Positive scalar curvature on simply connected spin pseudomanifold (with Boris Botvinnik and Jonathan Rosenberg)
Journal of Topology and Analysis Vol. 15, No. 2, 413-443 (2023).
Signatures of Witt spaces with boundary (with Boris Vertman)
Advances in Mathematics, Vol. 405, 2022, p 1-80.
On positive scalar curvature bordism (with Thomas Schick and Vito Felice Zenobi)
Comm. Analysis and Geometry, Volume 30, Number 9, 2049-2058, 2022.
Stratified Surgery and K-Theory invariants of the signature operator (with P. Albin).
Ann.Sci. Éc. Norm. Supér. (4) 55 (2022), no. 1, 43 - 110.
Positive scalar curvature on spin pseudomanifolds: the fundamental group and secondary invariants
(with Boris Botvinnik and Jonathan Rosenberg)
SIGMA Symmetry Integrability Geom. Methods Appl. 17 (2021), Paper No. 062, 39 pp.
A note on higher Todd genera of complex manifolds (with F. Bei).
Rendiconti di Matematica e delle sue Applicazioni (7) 42 (2021), no. 1, 49 - 60
On analytic Todd classes of singular varieties (with F. Bei).
International Mathematics Research Notices, IMRN 2021, no. 19, 14840 - 14881.
Higher genera for proper actions of Lie groups, Part 2: the case of manifolds with boundary
(with Hessel Posthuma) Annals of K-Theory 6 (2021), no. 4, p. 713 - 782.
Singular spaces, groupoids and metrics of positive scalar curvature (with V. Zenobi)
Journal of Geometry and Physics, Volume 137, March 2019, Pages 87-123.
Higher genera for proper actions of Lie groups (with H. Posthuma)
Annals of K-Theory (2019), no. 3, pp. 473 - 504.
On the L2-∂-cohomology of certain complete Kähler metrics (with F. Bei).
Mathematische Zeitschrift, Vol. 288 (2018), 1-17.
Eta and rho invariants on manifolds with edges (with B. Vertman).
Annales de l’Institute Fourier, Volume 69 (2019) no. 5 p. 1955-2035.
The Novikov conjecture on Cheeger spaces (with P. Albin, E. Leichtnam, R. Mazzeo).
Journal of Noncommutative Geometry Vol 11 (2017), 451-506.
Hodge theory on Cheeger spaces (with P. Albin, E. Leichtnam, R. Mazzeo).
Journal für die reine und angewandte Mathematik (Crelle Journal).
Published on-line February 2016. Published in print in Volume 2018, Issue 744, pp 29-102
The surgery exact sequence, K-Theory and the signature operator (with T. Schick).
Annals of K-Theory. Vol. 1, No. 2 (2016), pp 109-154.
A note on the higher Atiyah-Patodi-Singer index theorem on Galois coverings
(with Sacha Gorokovsky and Hitoshi Morioshi).
Journal of Noncommutative Geometry Vol. 10 (1) pp 261- 302, (2016)