Writing

Book chapters

• Quantitative K-theory, positive scalar curvature, and band width (with Z. Xie and G. Yu)
  In Perspectives on Scalar Curvature, Eds. M. Gromov, H. B. Lawson
  arXiv | book

Research articles

• A higher index and rapidly decaying kernels (with P. Hochs and H. Wang)
  arXiv | new

• A higher index on finite-volume locally symmetric spaces (with P. Hochs and H. Wang)
  arXiv | new

• A geometric Elliott invariant and noncommutative rigidity of mapping tori (with V. Proietti and H. Wang)
  Journal of Functional Analysis
  arXiv | journal

• Covering complexity, scalar curvature, and quantitative K-theory (with G. Yu)
  Pure and Applied Mathematics Quarterly
  arXiv | journal

• An equivariant Poincaré duality for proper cocompact actions by matrix groups (with V. Mathai)
  Journal of Noncommutive Geometry
  arXiv | journal

• Higher localised A-hat-genera for proper actions and applications (with V. Mathai)
  Journal of Functional Analysis
  arXiv | journal

• Positive scalar curvature and an equivariant Callias-type index theorem for proper actions (with P. Hochs and V. Mathai)
  Annals of K-Theory
  arXiv | journal

• Functoriality for higher rho invariants of elliptic operators (with Z. Xie and G. Yu)
  Journal of Functional Analysis
  arXiv | journal

• Coarse geometry and Callias quantisation (with P. Hochs and V. Mathai)
  Transactions of the American Mathematical Society
  arXiv | journal

• A Lichnerowicz vanishing theorem for the maximal Roe algebra (with Z. Xie and G. Yu)
  Mathematische Annalen
  arXiv | journal

• Equivariant Callias index theory via coarse geometry (with P. Hochs and V. Mathai)
  Annales de l’Institut Fourier
  arXiv | journal

• Index of equivariant Callias-type operators and invariant metrics of positive scalar curvature
  Journal of Geometric Analysis
  arXiv | journal

• Positive scalar curvature and Poincaré duality for proper actions (with V. Mathai and H. Wang)
  Journal of Noncommutative Geometry
  arXiv | journal

• Positive scalar curvature and Callias-type index theorems for proper actions
  Bulletin of the Australian Mathematical Society
  journal

Other articles

• A Poincaré duality in K-theory Australian Mathematical Society Gazette journal