Publications

  • (with S. Cecchini, Z. Xie, B. Zhu) Scalar curvature rigidity of the four-dimensional sphere, Math Annalen arXiv

  • (with Z. Xie, B. Zhu, X. Zhu) Positive Scalar Curvature Meets Ricci Limit Spaces, Manuscripta Mathematica arXiv

  • (with Z. Xie) Scalar curvature rigidity of degenerate warped product spaces, Transactions of the AMS arXiv

  • (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 M. Jovanovic) A scalar-mean curvature comparison theorem for manifolds with iterated conical singularities arXiv

  • (with Z. Xie, G. Yu, B. Zhu) \(\ell^p\)-coarse Baum-Connes conjecture for \(\ell^{q}\)-coarse embeddable spaces arXiv

  • (with Q. Ma, G. Yu, B. Zhu) Bounding the A-hat genus using scalar curvature lower bounds and isoperimetric constants arXiv

  • (with B. Zhu, Z. Wang) Scalar-mean rigidity theorem for compact manifolds with boundary arXiv

  • (with B. Zhu) Sharp bottom spectrum and scalar curvature rigidity arXiv

  • (with Z. Xie) Scalar curvature rigidity of spheres with subsets removed and \(L^\infty\) metrics arXiv

  • (with Z. Xie, G. Yu, B. Zhu) Filling Radius, Quantitative \(K\)-theory and Positive Scalar Curvature arXiv

  • (with Z. Xie) Dihedral rigidity for submanifolds of warped product manifolds 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

  • Geometry and Convergence Program, Simons Center, 2025-09

  • Special Week on Operator Algebras 2025, Shanghai Institute for Mathematics and Interdisciplinary Sciences, 2025-08

  • 4th Australia-China-Japan-Singapore-US Index Theory Conference – Analysis and Geometry on Manifolds, National University of Singapore, 2025-08

  • Work shop on noncommutative geometry and operator algebra, Sichuan University, 2025-05

  • Texas Geometry and Topology Conference, Texas A&M University, 2024-11

  • Peking-Westlake Geometric Analysis Seminar, online, 2024-09

  • SUMIRFAS, Texas A&M University, 2024-07

  • Workshop on Non-Commutative Geometry and Higher Index Theory, University of Puerto Rico, 2024-04

  • Not Only Scalar Curvature Seminar, online, 2024-02

  • Noncommutative Geometry Festival 2023, Washington University in St. Louis, 2023-07

  • Brazos Analysis Seminar, Texas A&M University, 2023-04

  • Wabash Mini-Conference, Indiana University–Purdue University Indianapolis, 2022-11

  • Young Mathematicians in Noncommutative Geometry and Analysis (co-organizor), Texas A&M University, 2022-08

  • Recent Advances on Scalar Curvature Problems, Simons Center, 2022-06

  • Great Plains Operator Theory Symposium, Washington University in St. Louis, 2022-05

  • Spring 2022 Workshop on NCG and Geometric Analysis, online, 2022-04

  • Not Only Scalar Curvature Seminar, online, 2022-04

  • Europe GNCG Seminar, online, 2021-12