郭昊 - 清华大学 - 丘成桐数学科学中心

个人简介

教育背景 201209-201603本科悉尼大学 201603-201812博士阿德莱德大学工作经历 2022- 至今助理教授清华大学丘成桐数学科学中心 2018-2022 博士后德州农工大学荣誉与奖励 2019年德克萨斯州农工大学数学系杰出教学奖 2018年阿德莱德大学优秀博士论文院长表彰奖 2016年B.H.诺伊曼奖，澳大利亚数学学会

研究领域

指标理论，非对易几何，算子代数

近期论文

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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 Journal articles A geometric Elliott invariant and noncommutative rigidity of mapping tori (with V. Proietti and H. Wang) Covering complexity, scalar curvature, and quantitative K-theory (with G. Yu) Pure and Applied Mathematics Quarterly An equivariant Poincaré duality for proper cocompact actions by matrix groups (with V. Mathai) Journal of Noncommutive Geometry Higher localised A-hat-genera for proper actions and applications (with V. Mathai) Journal of Functional Analysis Positive scalar curvature and an equivariant Callias-type index theorem for proper actions (with P. Hochs and V. Mathai) Annals of K-Theory Functoriality for higher rho invariants of elliptic operators (with Z. Xie and G. Yu) Journal of Functional Analysis Coarse geometry and Callias quantisation (with P. Hochs and V. Mathai) Transactions of the American Mathematical Society A Lichnerowicz vanishing theorem for the maximal Roe algebra (with Z. Xie and G. Yu) Mathematische Annalen Equivariant Callias index theory via coarse geometry (with P. Hochs and V. Mathai) Annales de l’Institut Fourier Index of equivariant Callias-type operators and invariant metrics of positive scalar curvature Journal of Geometric Analysis Positive scalar curvature and Poincaré duality for proper actions (with V. Mathai and H. Wang) Journal of Noncommutative Geometry Positive scalar curvature and Callias-type index theorems for proper actions Bulletin of the Australian Mathematical Society