Yuchen Liu
Geometry and Topology · Duke mathematical journal · 2016–2021
A researcher in the Science corpus: 6 papers; trusts 48 researchers and is trusted by 16 researchers here, as inferred from the citation graph.
Subfields
- Geometry and Topology — 221 citations into it; #612 of 7,422 by trust here, #898 by citations
- Applied Mathematics — 134 citations into it; #585 of 7,620 by trust here, #924 by citations
- Mathematical Physics — 51 citations into it
- Algebra and Number Theory — 40 citations into it
- Computational Theory and Mathematics — 24 citations into it
- Nuclear and High Energy Physics — 7 citations into it
Whom Yuchen Liu trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
- Chi Li
- Kento Fujita
- S. Boucksom
- Simon Donaldson
- Robert J. Berman
- H. Blum
- G. Tian
- Mattias Jonsson
- R. Lazarsfeld
- M. Mustaţă
Who trusts Yuchen Liu overall
- Chi Li
- Chenyang Xu
- H. Blum
- Kento Fujita
- Ziquan Zhuang
- Cristiano Spotti
- Mattias Jonsson
- Song Sun
- Xiaowei Wang
- G. Codogni
Papers from Yuchen Liu's perspective
Ordered by how strongly the researchers Yuchen Liu trusts endorse each paper. Same corpus, a different order for every researcher.
- K-semistability is equivariant volume minimization
- Optimal bounds for the volumes of Kähler-Einstein Fano manifolds
- Yau-Tian-Donaldson correspondence for K-semistable Fano manifolds
- Scalar Curvature and Stability of Toric Varieties
- Existence of minimal models for varieties of log general type
- The volume of singular Kähler–Einstein Fano varieties (Compositio Mathematica)
- Kähler–Einstein metrics on Fano manifolds
- Sasaki–Einstein Manifolds and Volume Minimisation
- Positivity in algebraic geometry
- Obstructions to the Existence of Sasaki–Einstein Metrics
Their papers
- Finite generation for valuations computing stability thresholds and applications to K-stability (2021) — 174 citations
- Openness of K-semistability for Fano varieties (2019) — 120 citations
- A Guided Tour to Normalized Volume (2018) — 63 citations
- K-stability of cubic threefolds (2017) — 86 citations
- Kähler–Einstein metrics and volume minimization (2016) — 66 citations
- The volume of singular Kähler–Einstein Fano varieties (2016) — 69 citations