Publications
(with Z. Xie and G. Yu) Decay of scalar curvature on uniformly contractible manifolds with finite asymptotic dimension, Comm. Pure Appl. Math., online published arXiv
(with Z. Xie and G. Yu) A proof of Gromov's cube inequality on scalar curvature, to appear in Journal of Differential Geometry arXiv
(with Z. Xie and G. Yu) l1-higher index, l1-higher rho invariant and cyclic cohomology, Cyclic Cohomology at 40: achievements and future prospects arXiv
(with Z. Xie and G. Yu) Approximations of delocalized eta invariants by their finite analogues, L'Enseignement math'ematique arXiv
(with X. Chen, Z. Xie and G. Yu) Delocalized eta invariants, cyclic cohomology and higher rho invariants, Annals of K-theory arXiv
(with H. Liu) On localized signature and higher rho invariant of fibered manifolds, J. Noncommut. Geom. arXiv
Preprints
(with S. Cecchini, Z. Xie, B. Zhu) Scalar curvature rigidity of the four-dimensional sphere arXiv
(with Z. Xie, G. Yu, B. Zhu) Filling Radius, Quantitative \(K\)-theory and Positive Scalar Curvature arXiv
(with Z. Xie) Scalar curvature rigidity of degenerate warped product spaces arXiv
(with Z. Xie) Dihedral rigidity for submanifolds of warped product manifolds arXiv
(with Z. Xie, B. Zhu, X. Zhu) Positive Scalar Curvature Meets Ricci Limit Spaces arXiv
(with Z. Xie) Rigidity of strictly convex domains in Euclidean spaces arXiv
(with Z. Xie) On Gromov's flat corner domination conjecture and Stoker's conjecture arXiv
(with Z. Xie and G. Yu) On Gromov's dihedral extremality and rigidity conjectures arXiv
Conferences and Seminars
Not Only Scalar Curvature Seminar, 2024-02-07
Noncommutative Geometry Festival 2023, 2023-07-12
Brazos Analysis Seminar, 2023-04-01
Wabash Mini-Conference, 2022-11-12
Young Mathematicians in Noncommutative Geometry and Analysis (co-organizor), 2022-08-15
Recent Advances on Scalar Curvature Problems, 2022-06-27
Great Plains Operator Theory Symposium, 2022-05-23
Not Only Scalar Curvature Seminar, 2022-04-01
Europe GNCG Seminar, 2021-12-01