Projects per year
Personal profile
Personal profile
Assistant Professor, Department of Foundational Mathematics
Research interests
Differential geometry, geometric Topology
Experience
Postdoc, BICMR, Peking University, 2019-2022
Teaching
Final Year Project, 2022-2023
MTH019, Calculus for Business, 2022-2023
Awards and honours
Honorable Mention, Alibaba Global Math Contest, 2018
Education/Academic qualification
PhD, University of Pennsylvania, 2019
Research areas
- Differential Geometry
- Geometric Topology
Person Types
- Staff
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Dive into the research topics where Yuhang Liu is active. These topic labels come from the works of this person. Together they form a unique fingerprint.
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Collaborations and top research areas from the last five years
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Projects
- 1 Finished
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Product of Lengths of Closed Geodesics
Liu, Y. (PI)
1/01/23 → 31/12/25
Project: Internal Research Project
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Almost Positive Sectional Curvature with Bounded Geometry on S2×S2
Liu, Y., Aug 2026, (Submitted) In: arXiv.Research output: Contribution to journal › Article
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A Smooth Nonnegatively Curved Sphere Whose Zero-Curvature Point Locus Has Hausdorff Dimension 1/2
Liu, Y., Aug 2026, (Submitted) In: arXiv.Research output: Contribution to journal › Article
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Curvature Sign Rigidity and Sharp Pointwise Pinching Thresholds
Liu, Y., Gao, M. & Zhang, G., Sept 2026, In: arXiv.Research output: Contribution to journal › Article
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Non-existence of Positively Curved Metrics Invariant under Involutions on Certain Homogeneous Spaces
Liu, Y., 6 Apr 2026, (Submitted) In: Journal of Geometric Analysis.Research output: Contribution to journal › Article › peer-review
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On the Positivity of the Products of Positive Primitive Forms
Liu, Y., Aug 2026, (Submitted) In: arXiv.Research output: Contribution to journal › Article
Activities
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Applied Mathematics (Journal)
Liu, Y. (Reviewer)
Aug 2026Activity: Peer-review and editorial work of publications › Publication Peer-review
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Geometric Group Theory Workshop
Liu, Y. (Participant)
6 Jul 2026 → 10 Jul 2026Activity: Participating in or organising an event › Participating in an event e.g. a conference, workshop, …
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Equivariant differential geometry and generalized rotational hypersurfaces
Liu, Y. (Speaker)
25 Jun 2026Activity: Talk or presentation › Invited talk
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Curvature in Riemannian geometry
Liu, Y. (Supervisor)
1 May 2026 → 31 Aug 2026Activity: Supervision › Completed SURF Project
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International Electronic Journal of Geometry (Journal)
Liu, Y. (Reviewer)
17 Apr 2026Activity: Peer-review and editorial work of publications › Publication Peer-review