Guoliang Yu | Academic Influence

Guoliang Yu's AcademicInfluence.com Rankings

Guoliang Yu

Mathematics

#2789

World Rank

#4232

Historical Rank

#1079

USA Rank

Algebraic Geometry

#204

World Rank

#212

Historical Rank

#46

USA Rank

Number Theory

#354

World Rank

#442

Historical Rank

#57

USA Rank

Measure Theory

#3451

World Rank

#4072

Historical Rank

#996

USA Rank

mathematics Degrees

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Mathematics

Guoliang Yu's Degrees

PhD Mathematics University of California, Berkeley
Bachelors Mathematics Peking University

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Why Is Guoliang Yu Influential?

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According to Wikipedia, Guoliang Yu is a Chinese American mathematician. After receiving his Ph.D from SUNY at Stony Brook in 1991 under the direction of Ronald G. Douglas, Yu spent time at the Mathematical Sciences Research Institute , the University of Colorado at Boulder , Vanderbilt University , and a variety of visiting positions. He currently holds the Powell Chair in Mathematics and was appointed University Distinguished Professor in 2018 at Texas A&M University. He is a fellow of the American Mathematical Society.

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Guoliang Yu's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

The coarse Baum–Connes conjecture for spaces which admit a uniform embedding into Hilbert space (2000) (567)
The Novikov conjecture for groups with finite asymptotic dimension (1998) (301)
Large Scale Geometry (2012) (234)
The coarse geometric Novikov conjecture and uniform convexity (2005) (128)
The Baum-Connes conjecture for hyperbolic groups (2001) (123)
A notion of geometric complexity and its application to topological rigidity (2010) (123)
A coarse Mayer–Vietoris principle (1993) (117)
Higher index theory for certain expanders and Gromov monster groups I (2010) (103)
Localization algebras and the coarse Baum--Connes conjecture (1997) (95)
Dynamic asymptotic dimension: relation to dynamics, topology, coarse geometry, and $$C^*$$C∗-algebras (2015) (83)
Geometrization of the Strong Novikov Conjecture for residually finite groups (2008) (82)
The coarse Baum–Connes conjecture and groupoids (2002) (81)
The maximal coarse Baum-Connes conjecture for spaces which admit a fibred coarse embedding into Hilbert space (2012) (76)
Hyperbolic groups admit proper affine isometric actions on lp-spaces (2004) (75)
Metric sparsification and operator norm localization (2007) (68)
Positive scalar curvature, higher rho invariants and localization algebras (2013) (68)
K-theory for the maximal Roe algebra of certain expanders (2009) (67)
The Novikov conjecture and geometry of Banach spaces (2012) (66)
Discrete groups with finite decomposition complexity (2013) (60)
On a quantitative operator K-theory (2011) (57)
Finite part of operator K-theory for groups finitely embeddable into Hilbert space and the degree of non-rigidity of manifolds (2013) (55)
Higher Index Theory (2020) (52)
Finite decomposition complexity and the integral Novikov conjecture for higher algebraic K-theory (2011) (52)
Higher rho invariants and the moduli space of positive scalar curvature metrics (2013) (49)
K-Theory for Group C*-Algebras and Semigroup C*-Algebras (2017) (48)
Geometric property (T) (2013) (44)
Delocalized Eta Invariants, Algebraicity, and K-Theory of Group C*-Algebras (2018) (43)
Positive scalar curvature and a new index theory for noncompact manifolds (2015) (40)
Operator norm localization for linear groups and its application to K-theory (2011) (40)
Quantitative K-theory and the Künneth formula for operator algebras (2016) (37)
An Analytic Grothendieck Riemann Roch Theorem (2014) (34)
Higher index theory of elliptic operators and geometry of groups (2006) (34)
The Novikov conjecture for algebraic K-theory of the group algebra over the ring of Schatten class operators (2011) (34)
Baum-Connes conjecture and coarse geometry (1995) (33)
Additivity of Higher Rho Invariants and Nonrigidity of Topological Manifolds (2016) (30)
A relative higher index theorem, diffeomorphisms and positive scalar curvature (2012) (26)
Dynamical complexity and controlled operator K-theory (2016) (23)
Volume growth and positive scalar curvature (2000) (22)
Delocalized eta invariants, cyclic cohomology and higher rho invariants (2019) (21)
Uniform embeddability and exactness of free products (2003) (18)
Quantitative K-theory, positive scalar curvature, and band width (2020) (18)
On the range of the relative higher index and the higher rho-invariant for positive scalar curvature (2017) (18)
Index formulas for geometric Dirac operators in Riemannian foliations (1995) (18)
Zero-in-the-spectrum conjecture, positive scalar curvature and asymptotic dimension (1997) (17)
The Novikov conjecture, the group of volume preserving diffeomorphisms and Hilbert-Hadamard spaces (2018) (16)
K-theory of group Banach algebras and Banach property RD (2017) (16)
K-Theoretic Indices of Dirac Type Operators on Complete Manifolds and the Roe Algebra (1997) (16)
Bounded rigidity of manifolds and asymptotic dimension growth (2008) (15)
Taming 3-manifolds using scalar curvature (2010) (14)
The coarse Novikov conjecture and Banach spaces with Property (H) (2015) (14)
Dynamic asymptotic dimension and controlled operator K-theory (2016) (12)
A proof of Gromov's cube inequality on scalar curvature (2021) (12)
On Gromov's dihedral extremality and rigidity conjectures (2021) (12)
Decay of scalar curvature on uniformly contractible manifolds with finite asymptotic dimension (2021) (11)
K-THEORY OF UNIFORM ROE ALGEBRAS By Ján Špakula Dissertation Submitted to the Faculty of the Graduate School of Vanderbilt University in partial fulfillment of the requirements for the degree of DOCTOR OF PHILOSOPHY (2008) (8)
Tensor force effect on single-proton energy levels of oxygen isotopes (2014) (8)
A finite-dimensional approach to the strong Novikov conjecture (2012) (7)
A Lichnerowicz vanishing theorem for the maximal Roe algebra (2019) (7)
Higher invariants in noncommutative geometry (2019) (6)
A new index theorem for monomial ideals by resolutions (2017) (4)
Controlled KK-theory I: a Milnor exact sequence. (2020) (4)
The coarse Baum-Connes conjecture for certain group extensions and relative expanders ∗ (2021) (4)
The Equivariant Coarse Novikov Conjecture and Coarse Embedding (2019) (4)
Higher ρ invariant is an obstruction to the inverse being local (2020) (4)
Persistence approximation property and controlled operator K-theory (2014) (4)
Functoriality for higher rho invariants of elliptic operators (2020) (3)
Approximations of delocalized eta invariants by their finite analogues (2020) (3)
Higher rho invariant and delocalized eta invariant at infinity (2020) (2)
ON QUASICONVEX SUBSETS OF HYPERBOLIC GROUPS By (2005) (2)
Quantitative K -theory for geometric operator algebras (2017) (2)
The Novikov conjecture and groups with nite asymptotic dimension (1995) (2)
The UCT for $C^*$-algebras with finite complexity (2021) (2)
Application of wavelet transform in γ-ray spectra analysis (2013) (2)
Asymptotic Fredholm Modules, Vector Bundles with Small Variation and a Nonvanishing Theorem for K-Theoretic Indices (1998) (1)
Addendum to Finite decomposition complexity and the integral Novikov conjecture for higher algebraic K-theory (J. reine angew. Math. 694 (2014), 129–178) (2019) (1)
Ronald G. Douglas: A Master in the Art of Transcending Problems (2019) (1)
Uniform Roe Algebras and Geometric RD Property (2020) (1)
Boundary Amenability of Groups and Positive Scalar Curvature (1999) (1)
Tensor force effect on proton shell structure in neutron-rich Ca isotopes (2013) (1)
QUANTUM SYMMETRIES STUDIED THROUGH THE LENS OF NON-LOCAL GAMES (2021) (1)
Covering complexity, scalar curvature, and quantitative $K$-theory (2022) (1)
Foreword: VSI on Index Theory, Duality and Related Fields (2021) (0)
Perspectives on Noncommutative Geometry (2011) (0)
Non-Commutative Geometry and Cyclic Homology (2021) (0)
Book Review: Basic noncommutative geometry, 2nd edition (2017) (0)
Non-commutative Geometry, Index Theory and Mathematical Physics (2019) (0)
$l^1$-higher index, $l^1$-higher rho invariant and cyclic cohomology (2022) (0)
Geometric property (T) (2014) (0)
Foreword to the Connes 70 Special Issue (2019) (0)
The proof of Theorem 1.1 is based on a construction of Igor Mineyev [M] and is reminiscent of Alain Connes’ construction of Chern character of finitely summable Fredholm modules for rank one groups [C] (0)
The coarse Baum–Connes conjecture for certain relative expanders (2021) (0)
$K$-theory of relative group $C^*$-algebras and the relative Novikov conjecture (2021) (0)
Local Similarities and the Haagerup Property (2007) (0)
A notion of geometric complexity and its application to topological rigidity (2011) (0)
O A ] 1 0 M ay 2 00 1 THE BAUM-CONNES CONJECTURE FOR HYPERBOLIC GROUPS (2008) (0)
Workshop: Non-commutative Geometry, Index Theory and Math- ematical Physics Table of Contents (2019) (0)
On Gromov's compactness question regarding positive scalar curvature (2021) (0)

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