Writing

• 2026 In-Context Prompting Obsoletes Agent Orchestration for Procedural Tasks (with S. Dennis, M. Diamond, R. Patil, and K. Shabahang)
  arXiv | new

Book chapters

• 2023 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

• 2026 A higher index and rapidly decaying kernels (with P. Hochs and H. Wang)
  Journal of Noncommutative Geometry
  arXiv | journal

• 2025 A higher index theorem on finite-volume locally symmetric spaces (with P. Hochs and H. Wang)
  Münster Journal of Mathematics
  arXiv | journal

• 2024 A geometric Elliott invariant and noncommutative rigidity of mapping tori (with V. Proietti and H. Wang)
  Journal of Functional Analysis
  arXiv | journal

• 2023 Covering complexity, scalar curvature, and quantitative K-theory (with G. Yu)
  Pure and Applied Mathematics Quarterly
  arXiv | journal

• 2024 An equivariant Poincaré duality for proper cocompact actions by matrix groups (with V. Mathai)
  Journal of Noncommutive Geometry
  arXiv | journal

• 2022 Higher localised A-hat-genera for proper actions and applications (with V. Mathai)
  Journal of Functional Analysis
  arXiv | journal

• 2021 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

• 2021 Functoriality for higher rho invariants of elliptic operators (with Z. Xie and G. Yu)
  Journal of Functional Analysis
  arXiv | journal

• 2021 Coarse geometry and Callias quantisation (with P. Hochs and V. Mathai)
  Transactions of the American Mathematical Society
  arXiv | journal

• 2021 A Lichnerowicz vanishing theorem for the maximal Roe algebra (with Z. Xie and G. Yu)
  Mathematische Annalen
  arXiv | journal

• 2022 Equivariant Callias index theory via coarse geometry (with P. Hochs and V. Mathai)
  Annales de l’Institut Fourier
  arXiv | journal

• 2020 Index of equivariant Callias-type operators and invariant metrics of positive scalar curvature
  Journal of Geometric Analysis
  arXiv | journal

• 2019 Positive scalar curvature and Poincaré duality for proper actions (with V. Mathai and H. Wang)
  Journal of Noncommutative Geometry
  arXiv | journal

• 2018 Positive scalar curvature and Callias-type index theorems for proper actions
  Bulletin of the Australian Mathematical Society
  journal

Other articles

• 2017 A Poincaré duality in K-theory
  Australian Mathematical Society Gazette
  journal