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研究生导师
郭昊

助理教授

单位:清华大学丘成桐数学科学中心

办公地点:宁斋W07

电子邮箱:haoguo@tsinghua.edu.cn

个人主页

研究领域

指标理论,非对易几何,算子代数


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


发表论文

A geometric Elliott invariant and noncommutative rigidity of mapping tori (with V. Proietti and H. Wang).

arXiv:2207.06840


Covering complexity, scalar curvature, and quantitative K-theory (with G. Yu)

arXiv:2203.15003


Higher localised A-hat-genera for proper actions and applications (with V. Mathai).

arXiv:2108.01838


Quantitative K-theory, positive scalar curvature, and band width (with Z. Xie and G. Yu).

Perspectives on Scalar Curvature, eds. M. Gromov and H. B. Lawson (Accepted)


An Equivariant Poincare duality for proper cocompact actions by matrix groups (with V. Mathai).

Journal of Noncommutative Geometry (Accepted)


A Lichnerowicz vanishing theorem for the maximal Roe algebra (with Z. Xie and G. Yu).

Mathematische Annalen (2021)


Functoriality for higher rho Invariants of elliptic operators (with Z. Xie and G. Yu).

Journal of Functional Analysis (2021)


Coarse geometry and Callias quantisation (with P. Hochs and V. Mathai).

Transactions of the American Mathematical Society (2020)


Equivariant Callias index theory via coarse geometry (with P. Hochs and V. Mathai).

Annales de l’Institut Fourier (2020)


Positive scalar curvature and an equivariant Callias-type index theorem for proper actions (with P. Hochs and V. Mathai).

Annals of K-theory (2020)


Index of G-Callias-type operators and G-invariant metrics of positive scalar curvature.

Journal of Geometric Analysis (2019)


Positive scalar curvature and Poincare duality for proper actions (with V. Mathai and H. Wang).

Journal of Noncommutative Geometry (2019)


Positive scalar curvature and Callias-type index theorems for proper actions.

Bulletin of the Australian Mathematical Society (2019)


A Poincaré duality in K-theory.

Australian Mathematical Society Gazette (2017)


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