Guoliang Yu

Mathematical Physics · 2001–2018

A researcher in the Science corpus: 23 papers; trusts 36 researchers and is trusted by 39 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 138 citations into it; #399 of 8,562 by trust here, #328 by citations
• Geometry and Topology — 67 citations into it; #995 of 7,422 by trust here, #1,050 by citations
• Algebra and Number Theory — 61 citations into it; #478 of 2,864 by trust here, #362 by citations
• Applied Mathematics — 21 citations into it; #1,205 of 7,620 by trust here, #1,149 by citations
• Computational Theory and Mathematics — 20 citations into it
• Statistical and Nonlinear Physics — 11 citations into it; #4,112 of 10,127 by trust here, #4,633 by citations
• Theoretical Computer Science — 7 citations into it

Whom Guoliang Yu trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. N. Higson
2. Igor Mineyev
3. G. Kasparov
4. J. Roe
5. E. Guentner
6. P. Baum
7. G. Gong
8. M. Puschnigg
9. Alexander Dranishnikov
10. Misha Gromov

Who trusts Guoliang Yu overall

1. Assaf Naor
2. Rufus Willett
3. Martin Finn-Sell
4. Zhizhang Xie
5. Xiaoman Chen
6. Ján Špakula
7. Daniel A. Ramras
8. E. Guentner
9. Indira Chatterji
10. Igor Mineyev

Papers from Guoliang Yu's perspective

Ordered by how strongly the researchers Guoliang Yu trusts endorse each paper. Same corpus, a different order for every researcher.

1. Classifying Space for Proper Actions and K-Theory of Group C*-algebras
2. Lectures on coarse geometry
3. The Novikov Conjecture for Linear Groups
4. E-theory and KK-theory for groups which act properly and isometrically on Hilbert space
5. On asymptotic dimension of groups
6. Bivariant K-theory and the Novikov conjecture
7. Bordism, rho-invariants and the Baum-Connes conjecture
8. On the Equivalence of Geometric and Analytic K-Homology
9. Higher index theory for certain expanders and Gromov monster groups I
10. Mapping Surgery to Analysis I: Analytic Signatures

Their papers

• Delocalized Eta Invariants, Algebraicity, and K-Theory of Group C*-Algebras (2018) — 46 citations
• K-Theory for Group C*-Algebras and Semigroup C*-Algebras (2017) — 79 citations
• Positive scalar curvature and a new index theory for noncompact manifolds (2015) — 47 citations
• Dynamic asymptotic dimension: relation to dynamics, topology, coarse geometry, and $$C^*$$C∗-algebras (2015) — 99 citations
• Finite part of operator K-theory for groups finitely embeddable into Hilbert space and the degree of non-rigidity of manifolds (2013) — 54 citations
• Geometric property (T) (2013) — 48 citations
• Higher rho invariants and the moduli space of positive scalar curvature metrics (2013) — 52 citations
• Positive scalar curvature, higher rho invariants and localization algebras (2013) — 76 citations
• Discrete groups with finite decomposition complexity (2013) — 64 citations
• The maximal coarse Baum-Connes conjecture for spaces which admit a fibred coarse embedding into Hilbert space (2012) — 85 citations
• Large Scale Geometry (2012) — 277 citations
• The Novikov conjecture and geometry of Banach spaces (2012) — 79 citations
• On a quantitative operator K-theory (2011) — 68 citations
• Finite decomposition complexity and the integral Novikov conjecture for higher algebraic K-theory (2011) — 52 citations
• Higher index theory for certain expanders and Gromov monster groups I (2010) — 117 citations
• A notion of geometric complexity and its application to topological rigidity (2010) — 130 citations
• K-theory for the maximal Roe algebra of certain expanders (2009) — 73 citations
• Geometrization of the Strong Novikov Conjecture for residually finite groups (2008) — 91 citations
• Metric sparsification and operator norm localization (2007) — 72 citations
• The coarse geometric Novikov conjecture and uniform convexity (2005) — 134 citations