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
指标理论,非对易几何,算子代数
201209-201603本科 悉尼大学
201603-201812博士 阿德莱德大学
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
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
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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