Xinyi Yuan
Geometry and Topology · 2006–2021
A researcher in the Science corpus: 6 papers; trusts 13 researchers and is trusted by 22 researchers here, as inferred from the citation graph.
Subfields
- Geometry and Topology — 24 citations into it; #870 of 7,422 by trust here, #1,249 by citations
- Mathematical Physics — 12 citations into it; #1,330 of 8,562 by trust here, #1,610 by citations
- Algebra and Number Theory — 7 citations into it
- Applied Mathematics — 6 citations into it; #3,566 of 7,620 by trust here, #5,850 by citations
- Computational Theory and Mathematics — 5 citations into it
Whom Xinyi Yuan trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
- R. Lazarsfeld
- Shou-wu Zhang
- Walter Gubler
- M. Kisin
- Zbigniew Blocki
- Xiuxiong Chen
- M. Mustaţă
- Enrico Bombieri
- A. Moriwaki
- S. Boucksom
Who trusts Xinyi Yuan overall
- A. Moriwaki
- Antoine Chambert-Loir
- C. Skinner
- Kiumars Kaveh
- Wei Zhang
- R. Lazarsfeld
- S. Boucksom
- Askold Khovanskii
- F. Andreatta
- Dimitar Jetchev
Papers from Xinyi Yuan's perspective
Ordered by how strongly the researchers Xinyi Yuan trusts endorse each paper. Same corpus, a different order for every researcher.
- The Space of Kähler Metrics
- Tropical varieties for non-archimedean analytic spaces
- Crystalline representations and F -crystals
- Heights in Diophantine Geometry
- Solution to a non-Archimedean Monge-Ampère equation
- Integral models for Shimura varieties of abelian type
- Uniqueness and stability for the complex Monge-Ampère equation on compact Kähler manifolds
- Towards a Dynamical Manin–Mumford Conjecture
- Convex Bodies Associated to Linear Series
- Distributions in algebraic dynamics
Their papers
- Adelic Line Bundles on Quasi-Projective Varieties (2021) — 57 citations
- On the Averaged Colmez Conjecture (2015) — 57 citations
- The arithmetic Hodge index theorem for adelic line bundles (2013) — 84 citations
- The Gross-Zagier Formula on Shimura Curves (2012) — 170 citations
- On volumes of arithmetic line bundles (2008) — 49 citations
- Big line bundles over arithmetic varieties (2006) — 188 citations