Tian Gang | Academic Influence

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Tian Gang

Mathematics

#3890

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#5630

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Differential Geometry

#39

World Rank

#46

Historical Rank

Algebraic Geometry

#93

World Rank

#99

Historical Rank

Measure Theory

#459

World Rank

#655

Historical Rank

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Mathematics

Tian Gang's Degrees

Masters Mathematics Peking University
Bachelors Mathematics Peking University

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Why Is Tian Gang Influential?

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According to Wikipedia, Tian Gang is a Chinese mathematician. He is a professor of mathematics at Peking University and Higgins Professor Emeritus at Princeton University. He is known for contributions to the mathematical fields of Kähler geometry, Gromov-Witten theory, and geometric analysis.

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Tian Gang's Published Works

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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

Kähler-Einstein metrics with positive scalar curvature (1997) (901)
A mathematical theory of quantum cohomology (1994) (616)
Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties (1996) (594)
On a set of polarized Kähler metrics on algebraic manifolds (1990) (588)
Ricci Flow and the Poincare Conjecture (2006) (546)
On Calabi's conjecture for complex surfaces with positive first Chern class (1990) (526)
On Kähler-Einstein metrics on certain Kähler manifolds withC1 (M)>0 (1987) (514)
Smoothness of the Universal Deformation Space of Compact Calabi-Yau Manifolds and Its Peterson-Weil Metric (1987) (459)
K‐Stability and Kähler‐Einstein Metrics (2012) (338)
Complete Kähler manifolds with zero Ricci curvature. I (1990) (286)
Gauge theory and calibrated geometry, I (2000) (276)
Floer homology and Arnold conjecture (1998) (262)
Kähler-Einstein metrics on complex surfaces withC1>0 (1987) (260)
On the Kähler-Ricci Flow on Projective Manifolds of General Type (2006) (248)
Geometry of Kähler metrics and foliations by holomorphic discs (2005) (240)
The Kähler–Ricci flow on surfaces of positive Kodaira dimension (2006) (238)
Convergence of Kähler-Ricci flow (2007) (222)
Kähler–Einstein metrics on Fano manifolds (2013) (218)
Canonical measures and Kähler-Ricci flow (2008) (217)
A parabolic flow of pluriclosed metrics (2009) (209)
Virtual moduli cycles and Gromov-Witten invariants of general symplectic manifolds (1996) (203)
Energy identity for a class of approximate harmonic maps from surfaces (1995) (200)
Kähler-Einstein metrics and the generalized Futaki invariant (1992) (197)
EXISTENCE OF KAHLER-EINSTEIN METRICS ON COMPLETE KAHLER MANIFOLDS AND THEIR APPLICATIONS TO ALGEBRAIC GEOMETRY (1987) (197)
On Quantum Cohomology Rings of Fano Manifolds and a Formula of Vafa and Intriligator (1994) (196)
Complete Kähler manifolds with zero Ricci curvature II (1991) (196)
Higher genus symplectic invariants and sigma models coupled with gravity (1996) (187)
BOUNDING SCALAR CURVATURE AND DIAMETER ALONG THE KÄHLER RICCI FLOW (AFTER PERELMAN) (2008) (184)
The Kähler–Ricci flow through singularities (2009) (179)
Highly Stable and Reusable Multimodal Zeolite TS‐1 Based Catalysts with Hierarchically Interconnected Three‐Level Micro–Meso–Macroporous Structure (2011) (178)
On the singularities of spaces with bounded Ricci curvature (2002) (177)
A new holomorphic invariant and uniqueness of Kähler-Ricci solitons (2002) (176)
Self-formation phenomenon to hierarchically structured porous materials: design, synthesis, formation mechanism and applications. (2011) (167)
Kähler-Einstein metrics on algebraic manifolds (1996) (155)
Uniqueness of Kähler-Ricci solitons (2000) (155)
Ricci flow on Kähler-Einstein surfaces (2001) (154)
Immobilization technology: a sustainable solution for biofuel cell design (2012) (148)
Bubbling of the heat flows for harmonic maps from surfaces (1997) (138)
Liouville equation and spherical convex polytopes (1992) (134)
Hermitian curvature flow (2008) (133)
On the cone structure at infinity of Ricci flat manifolds with Euclidean volume growth and quadratic curvature decay (1994) (121)
Gradient estimation on Navier–Stokes equations (1999) (117)
The $K$-energy on hypersurfaces and stability (1994) (111)
Canonical Metrics in Kahler Geometry (2000) (109)
Hierarchical CdS/m-TiO2/G ternary photocatalyst for highly active visible light-induced hydrogen production from water splitting with high stability (2018) (109)
Homojunction of Oxygen and Titanium Vacancies and its Interfacial n–p Effect (2018) (107)
Moduli spaces of critical Riemannian metrics in dimension four (2003) (103)
Bach-flat asymptotically locally Euclidean metrics (2003) (102)
Regularity results for pluriclosed flow (2010) (99)
Ricci flow on Kähler-Einstein manifolds (2006) (98)
A note on uniformization of riemann surfaces by ricci flow (2005) (93)
A singularity removal theorem for Yang-Mills fields in higher dimensions (2002) (92)
On the holomorphicity of genus two Lefschetz fibrations (2003) (90)
CM Stability and the Generalized Futaki Invariant I (2006) (87)
Asymptotical behaviour of the Yang-Mills flow and singular Yang-Mills connections (2004) (80)
Completion of the Proof of the Geometrization Conjecture (2008) (80)
Curvature and injectivity radius estimates for Einstein 4-manifolds (2005) (79)
Well-organized zeolite nanocrystal aggregates with interconnected hierarchically micro-meso-macropore systems showing enhanced catalytic performance. (2011) (77)
Regularity of Kähler–Ricci flows on Fano manifolds (2013) (77)
Ground-state entanglement in the XXZ model (2004) (77)
Existence of Einstein Metrics on Fano Manifolds (2012) (76)
ON STABILITY OF THE TANGENT BUNDLES OF FANO VARIETIES (1992) (72)
“Fish‐in‐Net” Encapsulation of Enzymes in Macroporous Cages for Stable, Reusable, and Active Heterogeneous Biocatalysts (2006) (71)
A compactification of the moduli space of twisted holomorphic maps (2004) (71)
Construction of Hierarchical Metal–Organic Frameworks by Competitive Coordination Strategy for Highly Efficient CO2 Conversion (2019) (67)
Compactification of moduli space of harmonic mappings (1999) (67)
The Geometrization Conjecture (2014) (66)
On the heat kernel of the Bergmann metric on algebraic varieties (1995) (66)
Bounding scalar curvature for global solutions of the Kähler-Ricci flow (2011) (65)
One-point singular solutions to the Navier-Stokes equations (1998) (65)
The log term of Szego Kernel (2004) (60)
Stability of complex vector bundles (1996) (60)
A nonlinear inequality of Moser-Trudinger type (2000) (60)
On the uniqueness of the foliation of spheres of constant mean curvature in asymptotically flat 3-manifolds (2005) (60)
Generalized Kähler geometry and the pluriclosed flow (2011) (59)
The Uniform Version of Yau–Tian–Donaldson Conjecture for Singular Fano Varieties (2019) (55)
On the structure of almost einstein manifolds (2012) (54)
Two-Dimensional Graphs Moving by Mean Curvature Flow (2002) (54)
Supremum of Perelman's entropy and Kähler-Ricci flow on a Fano manifold (2011) (53)
Comparison of the algebraic and the symplectic Gromov-Witten invariants (1997) (51)
Virasoro constraints for quantum cohomology (1998) (51)
Quantum cohomology and its associativity (1995) (51)
WEINSTEIN CONJECTURE AND GW-INVARIANTS (1997) (50)
On the equivalence of multiplicative structures in floer homology and quantum homology (1999) (48)
Translating solutions to Lagrangian mean curvature flow (2007) (48)
Kähler–Ricci solitons on compact complex manifolds with C1(M) > 0 (2005) (47)
Spatial Heterojunction in Nanostructured TiO2 and Its Cascade Effect for Efficient Photocatalysis. (2020) (46)
Recursive relations for the cohomology ring of moduli spaces of stable bundles (1994) (45)
Bott-Chern forms and geometric stability (1999) (45)
Bott-type symplectic Floer cohomology and its multiplication structures (1995) (45)
Local entanglement and quantum phase transition in spin models (2005) (43)
The singular set of 1-1 integral currents (2003) (43)
Nanocoating of Hydrophobic Mesoporous Silica around MIL-101Cr for Enhanced Catalytic Activity and Stability. (2018) (42)
“Self-repairing” nanoshell for cell protection† †Electronic supplementary information (ESI) available. See DOI: 10.1039/c4sc02638a Click here for additional data file. (2014) (42)
Three dimensional algebraic manifolds with C1 = 0 and χ = −6 (1987) (42)
Symplectic curvature flow (2010) (41)
Convergence of the Kähler–Ricci flow on Fano manifolds (2012) (41)
Existence of dimerized phases in frustrated spin ladder models (2008) (41)
Chemistry of Trimethyl Aluminum: A Spontaneous Route to Thermally Stable 3D Crystalline Macroporous Alumina Foams with a Hierarchy of Pore Sizes (2010) (40)
Multimodal zeolite-beta-based catalysts with a hierarchical, three-level pore structure. (2011) (39)
Rigidity of Asymptotically Hyperbolic Manifolds (2004) (39)
Hierarchical MoS2 @TiO2 Heterojunctions for Enhanced Photocatalytic Performance and Electrocatalytic Hydrogen Evolution. (2018) (39)
On the Yau‐Tian‐Donaldson Conjecture for Singular Fano Varieties (2017) (39)
On hyperelliptic C∞-Lefschetz fibrations of four-manifolds (1999) (39)
On smoothness of timelike maximal cylinders in three-dimensional vacuum spacetimes (2012) (38)
Existence and Uniqueness of Constant Mean Curvature Foliation of Asymptotically Hyperbolic 3-Manifolds (2006) (38)
Ordered mesoporous titanosilicates with catalytically stable and active four-coordinated titanium sites. (2004) (38)
Uniqueness of extremal Kähler metrics (2005) (37)
Multimodal Zr-Silicalite-1 zeolite nanocrystal aggregates with interconnected hierarchically micro-meso-macroporous architecture and enhanced mass transport property. (2012) (36)
Partial C0-Estimate for Kähler–Einstein Metrics (2013) (36)
Bounding scalar curvature and diameter along the Kahler Ricci o w (after Perelman) and some applications (2003) (35)
Moving Symplectic Curves in Kähler-Einstein Surfaces (2000) (35)
Self-assembly: an option to nanoporous metal nanocrystals. (2014) (34)
Stable Ordered Mesoporous Silica Materials Templated by High-Temperature Stable Surfactant Micelle in Alkaline Media (2004) (34)
The singular set of J-holomorphic maps into projective algebraic varieties (2004) (34)
Lieb's Spin-Reflection-Positivity Method and Its Applications to Strongly Correlated Electron Systems (2004) (34)
Bimetallic (Zn/Co) MOFs-Derived Highly Dispersed Metallic Co/HPC for Completely Hydrolytic Dehydrogenation of Ammonia–Borane (2019) (33)
Matrix product state and quantum phase transitions in the one-dimensional extended quantum compass model (2012) (33)
On the weak Kähler-Ricci flow (2011) (33)
Symplectic 4-Manifolds and Algebraic Surfaces (2008) (32)
EXTREMAL METRICS AND GEOMETRIC STABILITY (2002) (32)
Quantum phase transition in the one-dimensional compass model using the pseudospin approach (2008) (32)
Virtual Moduli Cycles and GW-invariants (1996) (31)
Volume growth, curvature decay, and critical metrics (2006) (31)
Reaction-Diffusion-Branching Models of Stock Price Fluctuations (1998) (31)
A blow-up formula for stationary harmonic maps (1998) (31)
Uniqueness of standard solutions in the work of Perelman (2005) (31)
Perelman's W-functional and stability of K\ (2008) (30)
Convergence of K\"ahler-Ricci flow on lower dimensional algebraic manifolds of general type (2015) (29)
A Note on Kähler-Ricci Soliton (2008) (29)
A stable, reusable, and highly active photosynthetic bioreactor by bio-interfacing an individual cyanobacterium with a mesoporous bilayer nanoshell. (2015) (29)
Virtual manifolds and localization (2006) (28)
A continuity method to construct canonical metrics (2014) (27)
Analysis of geometric stability (2004) (27)
Compactness theorems for Kähler-Einstein manifolds of dimension 3 and up (1992) (27)
Degeneration of Kähler–Ricci Solitons (2010) (27)
FERRIMAGNETISM IN A ONE-DIMENSIONAL HEISENBERG MODEL (1997) (26)
Existence and uniqueness of constant mean curvature foliation of asymptotically hyperbolic 3-manifolds II (2007) (26)
Regularity of harmonic maps with prescribed singularities (1992) (26)
A simplified proof of Nagaoka's theorem (1990) (25)
On the existence of conic Kähler-Einstein metrics (2019) (25)
High viscosity to highly dispersed PtPd bimetallic nanocrystals for enhanced catalytic activity and stability. (2016) (24)
Highly dispersed PtPd on graphitic nanofibers and its heavy d-π effect (2019) (24)
Constraints on singularities under Ricci curvature bounds (1997) (24)
New results and problems on Kähler-Ricci flow (2008) (23)
Excited-state level crossing and quantum phase transition in one-dimensional correlated fermion models (2003) (22)
Geometry of Kaehler metrics and holomorphic foliation by discs (2004) (22)
Amino acid-based biohybrids for nano-shellization of individual desulfurizing bacteria. (2014) (22)
Rich surface hydroxyl design for nanostructured TiO2 and its hole-trapping effect (2020) (22)
Minimal Surfaces in Riemannian 4-Manifolds (1997) (22)
The quantum cohomology of homogeneous varieties (1995) (22)
Click-Reaction for Reversible Encapsulation of Single Yeast Cells. (2019) (22)
Geometric Structures of Collapsing Riemannian Manifolds I (2008) (21)
Soliton-type metrics and K\"ahler-Ricci flow on symplectic quotients (2009) (21)
The Blow-up Locus of Heat Flows for Harmonic Maps (2000) (21)
On‐site correlation of p‐electron in d10 semiconductor zinc oxide (2014) (21)
Systematic investigation on topological properties of layered GaS and GaSe under strain. (2014) (21)
Constructing Virtual Euler Cycles and Classes (2006) (21)
Hierarchically Fractal PtPdCu Sponges and their Directed Mass- and Electron-Transfer Effects. (2021) (21)
Global Existence of the m -equivariant Yang-Mills Flow in Four Dimensional Spaces (2004) (20)
Geometry and nonlinear analysis (2002) (20)
Anti-Self-Duality of Curvature and Degeneration of Metrics with Special Holonomy (2005) (20)
Large reversible magnetocaloric effect of light rare-earth intermetallic compound Pr5Si3 (2010) (19)
A uniform L∞ estimate for complex Monge–Ampère equations (2008) (19)
A note on K (2008) (19)
Nonexistence of axially symmetric, stationary solution of Einstein Vacuum Equation with disconnected symmetric event horizon (1991) (19)
Perelman ’ s paper on the entropy formula for the Ricci flow and its geometric applications (2004) (19)
Bounding Diameter Of Singular Kähler Metric (2015) (19)
Transcendental Methods in Algebraic Geometry (1996) (19)
Multi-step magnetization of the Ising model on a Shastry–Sutherland lattice: a Monte Carlo simulation (2012) (19)
Description of the phase transitions of cuprous iodide (2009) (18)
ASPECTS OF METRIC GEOMETRY OF FOUR MANIFOLDS (2006) (18)
Evidence of Type-II Band Alignment in III-nitride Semiconductors: Experimental and theoretical investigation for In0.17Al0.83N/GaN heterostructures (2014) (18)
Spectrum of SYK Model (2018) (18)
Analysis of gauged Witten equation (2014) (17)
Transition from band insulator to Mott insulator in one dimension: Critical behavior and phase diagram (2000) (17)
A Harnack type inequality for certain complex Monge-Ampère equations (1989) (17)
Design and size control of uniform zeolite nanocrystals synthesized in adjustable confined voids formed by recyclable monodisperse polymer spheres. (2005) (17)
Interfacial co-existence of oxygen and titanium vacancies in nanostructured TiO2 for enhancement of carrier transport. (2020) (17)
Relative volume comparison of Ricci Flow and its applications (2018) (16)
The Generalized Moser-Trudinger Inequality (2018) (16)
Compactification of the moduli spaces of vortices and coupled vortices (2002) (16)
Hierarchically Dual-Mesoporous TiO2 Microspheres for Enhanced Photocatalytic Properties and Lithium Storage. (2018) (16)
Enhancement of exchange bias in ferromagnetic/antiferromagnetic core-shell nanoparticles through ferromagnetic domain wall formation (2018) (16)
Structural evolution, site ordering and magnetic properties of tetragonal Mn6‐yGa2+y (0 ≤ y ≤ 1.64) (2017) (16)
Collapsing behavior of Ricci-flat Kahler metrics and long time solutions of the Kahler-Ricci flow (2019) (16)
Uniqueness of the mean field equation and rigidity of Hawking Mass (2017) (16)
On the semi-simplicity of the quantum cohomology algebras of complete intersections (1996) (15)
PtPd hollow nanocubes with enhanced alloy effect and active facets for efficient methanol oxidation reaction. (2021) (15)
Design and synthesis of fluorescence-based siderophore sensor molecules for FeIII ion determination (2010) (15)
Algebraic and Analytic K-Stability (2004) (15)
Site and local structure of activator Eu2+ in phosphor Ca10−x(PO4)6Cl2:xEu2+ (2013) (14)
Convergence of Kähler-Ricci flow on Fano manifolds, II (2011) (14)
Uniqueness of Kahler—Ricci solitons on compact Kahler manifolds (1999) (14)
Energy transfer from Eu2+ to Mn2+ in M5(PO4)3Cl (M=Ca, Sr) (2014) (14)
A Mathematician and His Mathematical Work: Selected Papers of S S Chern (1996) (14)
Instantons and the monopole-like equations in eight dimensions (2000) (14)
Finite-time singularity of Kähler-Ricci flow (2010) (13)
Coexistence of the ferromagnetic and antiferromagnetic long-range orders in the generalized antiferromagnetic Heisenberg model on a bipartite lattice (1994) (13)
First‐Principle Calculation and Far Infrared Measurement for Infrared‐Active Modes of Ba(Mg1/3Ta2/3)O3 (2010) (13)
Lectures on Pseudo-Holomorphic Curves and the Symplectic Isotopy Problem (2008) (12)
K-stability implies CM-stability (2014) (12)
Template-free synthesis to micro-meso-macroporous hierarchy in nanostructured MIL-101(Cr) with enhanced catalytic activity (2020) (12)
Ultralong PtPd Alloyed Nanowires Anchored on Graphene for Efficient Methanol Oxidation Reaction. (2021) (12)
Kähler metrics on algebraic manifolds (1988) (12)
Physical origin of the ferromagnetic ordering above room temperature in GaMnN nanowires (2005) (12)
Weierstrass polynomials and plane pseudo-holomorphic curves (2002) (11)
Small Gaps of GOE (2019) (11)
Basis divisors and balanced metrics (2020) (11)
Phase transition and ferrimagnetic long-range order in the mixed-spin Heisenberg model with single-ion anisotropy (2004) (11)
Spatial acid-base-Pd triple-sites of a hierarchical core-shell structure for three-step tandem reaction. (2020) (10)
Existence of long-range orbital order in a two-dimensional orbital-only model (2007) (10)
Antiferromagnetic correlation in the half-filled strongly correlated electron models at nonzero temperature: A rigorous result (2001) (10)
sp3-like defect structure of hetero graphene-carbon nanotubes for promoting carrier transfer and stability (2021) (10)
Elliptic Yang–Mills equation (2002) (10)
The Yang–Mills ̨-flow in vector bundles over four manifolds and its applications (2015) (10)
Near‐Linear Controllable Synthesis of Mesoporosity in Hierarchical UiO‐66 by Template‐Free Nucleation‐Competition (2021) (10)
Confined Thermolysis for Oriented N-Doped Carbon Supported Pd toward Stable Catalytic and Energy Storage Applications. (2020) (10)
Correlation functions of gauged linear σ-model (2016) (10)
Isoperimetric inequality under Kähler Ricci flow (2012) (10)
The low-energy states and directional long-range order in the two-dimensional quantum compass model (2010) (10)
Crystal structure, magnetic and microwave absorption properties of Ce2−xSmxFe17N3−δ/paraffin composites (2018) (9)
Confined Ultrafine Pt in Porous Carbon Fibers and Their N-Enhanced Heavy d-π Effect (2022) (9)
Relative volume comparison of Ricci flow (2021) (9)
Integrated-Trifunctional Single Catalyst with Fine Spatial Distribution via Stepwise Anchored Strategy for Multistep Autotandem Catalysis (2020) (9)
Degeneration of K\"ahler-Ricci solitons (2010) (9)
One-pot synthesis of hierarchical CdS/MoS2/rGO with enhanced (photo)electrocatalytic activities (2020) (9)
Structural evolution and magnetic properties of L10-type Mn54.5Al45.5-xGax (x = 0.0, 15.0, 25.0, 35.0, 45.5) phase (2016) (9)
bFGF and Poly‐RGD Cooperatively Establish Biointerface for Stem Cell Adhesion, Proliferation, and Differentiation (2018) (9)
Regularity theory for pluriclosed flow (2011) (9)
Spectrum of SYK model II: Central limit theorem (2018) (9)
Control of the Interfacial Wettability to Synthesize Highly Dispersed PtPd Nanocrystals for Efficient Oxygen Reduction Reaction. (2018) (9)
Effect of Ce substitution on the structural and magnetic properties of Nd2Fe14B (2020) (9)
Kähler-Einstein manifolds of positive scalar curvature (2001) (9)
A third derivative estimate for Monge-Ampere equations with conic singularities (2017) (9)
Charged and spin-excitation gaps in half-filled strongly correlated electron systems: A rigorous result (1998) (9)
On the weak K\"ahler-Ricci flow (2008) (8)
Gauged Linear Sigma Model in Geometric Phases (2018) (8)
Particle-hole transformations and sum rules for the Hubbard model☆ (1997) (8)
The Nagaoka state in the one-hand Hubbard model with two and more holes (1991) (8)
A new method to show the absence of some long-range orderings (1993) (8)
3D Graphene-based macro-mesoporous frameworks as enzymatic electrodes (2019) (8)
Extremal Kähler metrics and K-stability (2012) (8)
Geometric Structures of Collapsing Riemannian Manifolds II: N*-bundles and Almost Ricci Flat Spaces (2009) (8)
Partial regularity for homogeneous complex Monge–Ampere equations (2005) (8)
A note on K\"ahler-Ricci soliton (2008) (8)
Magnetic properties and magnetocaloric effect in Nd5Si3 compound (2010) (8)
The complex structure on a connected sum ofS3×S3 with trivial canonical bundle (1994) (8)
Orientability and real Seiberg-Witten invariants (2009) (8)
Specific Heat and Magnetic Susceptibility of Graphene: A Renormalization Group Study (2010) (7)
Photoinduced Terminal Fluorine and Ti 3+ in TiOF 2 /TiO 2 Heterostructure for Enhanced Charge Transfer (2020) (7)
Ultimate Corrosion to Pt-Cu Electrocatalysts for Enhancing Methanol Oxidation Activity and Stability in Acidic Media. (2021) (7)
Singular limits of K\"ahler-Ricci flow on Fano $G$-manifolds. (2018) (7)
Orbifold regularity of weak Kähler-Einstein metrics (2015) (7)
Microwave Absorption Properties of Flake-Like Nd2Co16.5Si0.5 Powders–Paraffin Composite (2019) (7)
Bifurcation of ground states and ferrimagnetic long-range order in anisotropic mixed-spin systems (2002) (7)
Interfacial Carbon Makes Nano-Particulate RuO2 an Efficient, Stable, pH-Universal Catalyst for Splitting of Seawater. (2022) (7)
Stability of pairs (2013) (7)
Matrix product state, quantum entanglement, and criticality in the one-dimensional dimerized antiferromagnetic Heisenberg model (2012) (7)
Gate-tunable high magnetoresistance in monolayer Fe3GeTe2 spin valves. (2020) (6)
Classification of a Supersolid: Trial Wavefunctions, Symmetry Breakings and Excitation Spectra (2007) (6)
Construction of a functionalized hierarchical pore metal-organic framework via a palladium-reduction induced strategy. (2020) (6)
Some progresses on Kähler–Ricci flow (2018) (6)
Regularity of the Kähler–Ricci flow (2013) (6)
Entanglement and quantum phase transitions (2005) (6)
An Equivariant Version of the K–energy (2005) (6)
Spectrum of SYK model III: Large deviations and concentration of measures (2018) (6)
Silica coating with well-defined micro-nano hierarchy for universal and stable surface superhydrophobicity (2019) (5)
Influence of atomic roughness at the uncompensated Fe/CoO(111) interface on the exchange-bias effect (2020) (5)
The Nagaoka state and its stability in the one-band Hubbard model (1993) (5)
The η-pairing ground states in the negative-U Hubbard model are supersolid (1994) (5)
General result on charged and spin-excitation gaps in strongly correlated electron systems at half filling (1999) (5)
Virtual cycles of gauged Witten equation (2016) (5)
Pd/Lewis Acid Synergy in Macroporous Pd@Na‐ZSM‐5 for Enhancing Selective Conversion of Biomass (2020) (5)
A rigorous theorem on off-diagonal long-range order of boson systems (1992) (5)
A compactness result for Fano manifolds and Kähler Ricci flows (2014) (5)
Nonlocal string orders and entanglement spectrum in the spin-1/2 alternating Heisenberg-Ising chain (2014) (5)
Corrigendum: K‐Stability and Kähler‐Einstein Metrics (2015) (5)
Superconducting correlations in ultra-small metallic grains (2000) (5)
Ricci flow on Kähler manifolds (2000) (5)
Tunable structural and magnetic properties of NiAs-type Mn Sb (1.00≤x≤1.30) compounds (2021) (5)
Correction to Section 19.2 of Ricci Flow and the Poincare Conjecture (2015) (5)
Properness of log $F$-functionals (2015) (4)
Ferromagnetism in two-dimensional Fe3GeTe2 ; Tunability by hydrostatic pressure (2021) (4)
Compactness results for triholomorphic maps (2015) (4)
Néel order in a spatially anisotropic Heisenberg antiferromagnet (2003) (4)
A sufficient condition for two long-range orders coexisting in a lattice many-body system (1997) (4)
Transcendental methods in algebraic geometry : lectures given at the 3rd session of the Centro internazionale matematico estivo (C.I.M.E.) held in Cetraro, Italy, July 4-12, 1994 (1996) (4)
The Yang-Mills \alpha -flow in vector bundles over four manifolds and its applications (2013) (4)
Titanium Vacancies in TiO2 Nanofibers Enable Highly Efficient Photo-Driven Seawater Splitting. (2021) (4)
Quadratic Recursion Relations of Hodge Integrals via Localization (2003) (4)
Singular Kähler-Einstein metrics on $ \mathbb Q $-Fano compactifications of Lie groups (2020) (4)
Constructing symplectic invariants (2002) (4)
Constraints on the possible pairing symmetry of iron arsenide superconductors in a two-orbital model (2009) (4)
Detecting the structure of complex networks by quantum bosonic dynamics (2009) (4)
Pair-mixing superconducting correlation in ultrasmall metallic grains (2001) (4)
Regularity of K\"ahler-Ricci flow (2013) (4)
Effects of bond alternation and the Dzyaloshinskii-Moriya interaction on the ground-state phase diagram of the Ising model (2013) (4)
Self‐Formation Phenomenon to Hierarchically Structured Porous Materials (2011) (3)
Magnetization process and updated phase diagram of one-dimensional S=1 Ising model with single-ion anisotropy under magnetic field (2013) (3)
Parity effect in a small superconducting grain: A rigorous result (1998) (3)
Néel order in a spatially anisotropic Heisenberg antiferromagnet with single-ion anisotropy (2005) (3)
Quantum phase transitions and the 1/3 magnetization plateau in the spin-1/2 Ferromagnetic–Ferromagnetic–Antiferromagnetic chain (2015) (3)
Confined Pd clusters with dynamic structure for highly efficient Cascade-type catalysis (2022) (3)
Cheeger–Colding–Tian Theory for Conic Kähler–Einstein Metrics (2018) (3)
The binding energy and the charged gaps in the negative- U Hubbard model: some rigorous results (1997) (3)
Degeneracy of the ground states at half-filling and the existence of the η-pairing off-diagonal long-range order in the negative-U Hubbard models (1994) (3)
Effects of Bond Alternation on the Ground-State Phase Diagram of One-Dimensional XXZ Model (2013) (3)
Ab initio calculation of electronic structure and magnetic properties of R2Fe14BNx (R = Pr,Nd) (2018) (3)
2 2 Se p 20 04 Geometry of Kähler metrics and holomorphic foliation by discs (2008) (3)
Magnetization process and quantum entanglement in spin-1 XXZ model with single-ion anisotropy under external field (2014) (3)
Ricci flow on Kaehler-Einstein surfaces (2000) (3)
Ground-state entanglement in the XXZ model (5 pages) (2005) (3)
Ground state and excitations of a four-component fermion model (2004) (3)
Well-Organized Zeolite Nanocrystal Aggregates with Interconnected Hierarchically Micro—Meso—Macropore Systems Showing Enhanced Catalytic Performance. (2012) (3)
A brief tour of GW invariants (1999) (3)
A hierarchically multifunctional integrated catalyst with intimate and synergistic active sites for one-pot tandem catalysis (2021) (3)
Phase diagram and magnetization structures of spin-32 bond-alternating Ising chains with single-ion anisotropy (2016) (3)
Efficient Water Dissociation on Confined Ultrafine Pt via Pyridinic N-Enhanced Heavy d−π Interaction (2022) (3)
The symplectic approach of gauged linear $\sigma$-model (2017) (3)
Introduction to Kähler manifolds (2000) (2)
The effect of an external magnetic field on the MLRO in the global ground states of some antiferromagnetic models (1994) (2)
On the electron distribution function in quantum dots: a rigorous result (2004) (2)
Quantum entanglement and criticality of the antiferromagnetic Heisenberg model in an external field (2012) (2)
The inseparability of resonating valence bond and on-site pairing long-range orders in doped Hubbard models (1994) (2)
Layer-Dependent Giant Magnetoresistance in Two-Dimensional CrPS4 Magnetic Tunnel Junctions (2021) (2)
K\"ahler-Ricci flow for deformed complex structures (2021) (2)
Antiferromagnetism and spin waves in the Hubbard model at half-filling (1992) (2)
LONG-RANGE ELECTRON HOPPING AND FERROMAGNETISM IN CLUSTERS (2011) (2)
Entanglement spectrum and magnetization plateaus in an S = 1 bond-alternative Heisenberg chain with single-ion anisotropy and magnetic field (2013) (2)
Entanglement spectrum and quantum phase transitions in one-dimensional S=1 XXZ model with uniaxial single-ion anisotropy (2014) (2)
A rigorous study on the charged gap in strongly correlated electron clusters (2002) (2)
High-temperature properties and enhanced magnetic properties by magnetic field heat treatment of D022 Mn3−xGa (x = 0, 0.2, and 0.4) alloys (2021) (2)
Futaki Invariant and CM Polarization (2016) (2)
First principles calculations of the electronic structure and magnetic properties of Y(Fe,M) 9.2 and Y(Fe,M) 9.2 C (M= Si, Ga, Zr) (2018) (1)
Notes on Kähler-Ricci Flow (2016) (1)
Symplectic 4-Manifolds and Algebraic Surfaces: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 2-10, 2003 (2008) (1)
Almost Hermitian Ricci flow (2020) (1)
Nagaoka Ferromagnetism in Two-Band Hubbard Model (2015) (1)
Principal minors of Gaussian orthogonal ensemble (2022) (1)
Single-particle distribution functions in nanoscale particles at finite temperature : Some rigorous results (2006) (1)
Classification of a Supersolid: Trial Wavefunctions, Symmetry Breakings and Excitation Spectra (2012) (1)
Coexistence of the on-site and off-site pairing long-range orders in the generalized Hubbard model with bond-charge interaction: Some rigorous results (1997) (1)
Two rigorous theorems on the momentum distribution functions of the Hubbard model at half-filling (1994) (1)
The symmetry of the momentum distribution functions in the Hubbard model at half-filling (1994) (1)
Structural and magnetic properties of Pr5Si3-xGex compounds (2019) (1)
Schmidt gap and quantum phase transitions in the XXZ model under external field on the Bethe lattice (2013) (1)
Existence of the 1/2 magnetization plateau in the S=1 Ising model with single-ion anisotropy on Z=3 Bethe lattice (2014) (1)
Normality of Circular $\beta$-ensemble (2019) (1)
Design and size control of uniform zeolite nanocrystals synthesized in adjustable confined voids formed by recyclable monodisperse polymer spheres. (2005) (1)
On uniform K-stability of pairs (2018) (1)
1T-MoS2 Enriched Hierarchical MoS2/MoO3 Produced by Phase Transformation for the Efficient Hydrogen Evolution Reaction. (2023) (1)
Enhancing Resistance to Chloride Corrosion by Controlling the Morphologies of PtNi Electrocatalysts for Alkaline Seawater Hydrogen Evolution. (2022) (1)
Front Cover: Titanium Vacancies in TiO 2 Nanofibers Enable Highly Efficient Photodriven Seawater Splitting (Chem. Eur. J. 57/2021) (2021) (1)
A uniform L^{\infty} estimate for complex Monge-Ampere equations (2007) (1)
A Zeolite‐confined Pd/Acid Sites for High Efficiency of B−H Cleavage (2021) (1)
Toward Understanding Structural Stability in Cu-Substituted (Pr1–xNdx)2NiO4+δ by in Situ and Operando Studies (2022) (1)
Phase diagram of the one dimensional Hubbard model with alternating periodic potentials (2000) (0)
A sum rule on Hofstadter spectrum and its application (1993) (0)
Perelman's entropy and stability of Kähler-Ricci flow (2016) (0)
D G ] 2 O ct 2 00 0 Ricci flow on Kähler-Einstein surfaces (2000) (0)
Excited state level-crossing and quantum phase transition in a class of one-dimensional correlated fermion models (2004) (0)
Ju l 2 01 8 SINGULAR LIMITS OF KÄHLER-RICCI FLOW ON FANO G-MANIFOLDS (2018) (0)
Uniform -stability modulo a subgroup (2021) (0)
Complex anti-self-dual instantons and Cayley submanifolds (2008) (0)
A spatial homojunction of titanium vacancies decorated with oxygen vacancies in TiO2 and its directed charge transfer. (2022) (0)
RIGOROUS RESULTS ON THE STRONGLY CORRELATED ELECTRON SYSTEMS BY THE SPIN-REFLECTION-POSITIVITY METHOD (2002) (0)
A Note On K\"ahler-Ricci Flow on Fano Threefolds (2022) (0)
Partial C0-Estimate for Kähler–Einstein Metrics (2013) (0)
Nonlocal string orders and entanglement spectrum in the spin-1/2 alternating Heisenberg-Ising chain (2014) (0)
anoshell for cell protection † (2014) (0)
D G ] 4 N ov 2 00 8 A note on Kähler-Ricci soliton (0)
Some progresses on Kähler–Ricci flow (2018) (0)
Feature Synthesis of Hierarchically Porous Materials Based on Green Easy‐Leaching Concept (2011) (0)
Asypmtotics of enumerative invariants in $\CC P^2$ (2016) (0)
Ricci flow and geometric applications (2016) (0)
The translation invariance and the vanishing renormalization coefficient in an interacting lattice Fermion or Boson system (1994) (0)
Effects of bond alternation and the Dzyaloshinskii-Moriya interaction on the ground-state phase diagram of the Ising model (2013) (0)
Max-Planck-Institut für Mathematik Normality of circular β -ensemble (2022) (0)
Matrix Product State and Quantum Phase Transitions in the Extended One-Dimensional Quantum Compass Model (2012) (0)
Corrigendum to “Silica coating with well-defined micro-nano hierarchy for universal and stable surface superhydrophobicity” [Chem. Phys. Lett. 730 (2019) 594–599] (2019) (0)
Author Correction: Self-biased magnetoelectric switching at room temperature in three-phase ferroelectric–antiferromagnetic–ferrimagnetic nanocomposites (2021) (0)
60 20 07 v 3 9 F eb 1 99 6 VIRTUAL MODULI CYCLES AND GW-INVARIANTS (2008) (0)
Max-Planck-Institut für Mathematik Normality of circular β -ensemble (2022) (0)
Design and synthesis of TiO2/C nanosheets with a directional cascade carrier transfer (2022) (0)
A compactness result for Fano manifolds and Kähler Ricci flows (2014) (0)
D G ] 6 F eb 2 00 8 On the weak Kähler-Ricci flow (2008) (0)
My response to CDS’ note (2013) (0)
Rigorous Results on the Strongly Correlated Electron Systems by the Spin-Reflection Method (2002) (0)
A phenomenological Landauer-type theory on colossal magnetoresistance (1996) (0)
A core-shell confined Pd@TS-1@meso-SiO2 catalyst and its synergy effect on styrene oxidation (2022) (0)
Analytic Aspects of Yang-Mills Fields (2002) (0)
Critical behaviors of the one dimensional Hubbard model with alternating periodic potentials (2000) (0)
Ferrimagnetic order and spontaneous magnetization in a mixed-spin XXZ chain with single-ion anisotropy (2015) (0)
JEFFREY STREETS AND GANG TIAN (2009) (0)
Ferromagnetism in an Itinerant Electron Cluster (2005) (0)
Entanglement spectrum and magnetization plateaus in an S = 1 bond-alternative Heisenberg chain with single-ion anisotropy and magnetic field (2013) (0)
Kähler-Einstein metrics with non-positive scalar curvature (2000) (0)
Kähler–Einstein metrics on Fano manifolds (2014) (0)
On the distance control problem in Ricci flows (2013) (0)
Correlation functions of gauged linear σ-model (2016) (0)
2 2 N ov 2 00 3 Curvature tensor under the Ricci flow (2008) (0)
Titanium Vacancies in TiO2 Nanofibers Enable Highly Efficient Photodriven Seawater Splitting. (2021) (0)
A RuCoBO Nanocomposite for Highly Efficient and Stable Electrocatalytic Seawater Splitting. (2023) (0)
A facile synthesis of hierarchically porous graphene for high-performance lithium storage (2022) (0)
Scalar Curvature as a moment Map (2000) (0)
D G ] 2 6 Se p 20 09 THE KÄHLER-RICCI FLOW THROUGH SINGULARITIES 1 (2009) (0)
Horosymmetric limits of K\"ahler-Ricci flow on Fano $G$-manifolds (2022) (0)
The Kähler–Ricci flow through singularities (2016) (0)
1 7 O ct 2 00 0 Ricci flow on Kähler-Einstein surfaces (2000) (0)
Kähler Stability of Symplectic Forms (2022) (0)
Magnetotransport induced by anomalous Hall effect (2022) (0)
Report on Workshop 03w5074: Perspectives in Differential Geometry (0)
Bioreactors: A Stable, Reusable, and Highly Active Photosynthetic Bioreactor by Bio‐Interfacing an Individual Cyanobacterium with a Mesoporous Bilayer Nanoshell (Small 17/2015) (2015) (0)
Counting pointlike instantons virtually without gluing (2021) (0)
Applications and generalizations (2000) (0)
A third derivative estimate for Monge-Ampere equations with conic singularities (2017) (0)
A continuity method to construct canonical metrics (2015) (0)
A Wall-Crossing Formula and the Invariance of GLSM Correlation Functions (2019) (0)
2 0 Ju n 20 06 CM Stability And The Generalised Futaki Invariant II (2006) (0)
Infinite Geodesic Rays in the Space of Kähler Potentials CLAUDIO AREZZO – (2009) (0)
Uniform [IMG align=ABSMIDDLE alt=$ K$]tex_sm_4927_img1[/IMG]-stability modulo a subgroup (2021) (0)
A semiconductor biohybrid system for photo-synergetic enhancement of biological hydrogen production. (2023) (0)
Unusual magneto-transport induced by anomalous Hall eﬀect (2022) (0)
Workshop: Komplexe Algebraische Geometrie Table of Contents (2005) (0)
Hierarchically fractal Co with highly exposed active facets and directed electron-transfer effect. (2022) (0)
A ug 2 00 1 Ricci flow on Kähler-Einstein manifolds (2001) (0)
On the limit set maps in semidynamical systems (2012) (0)
Spectrum of SYK Model (2019) (0)
2 3 Fe b 20 04 Rigidity of Asymptotically Hyperbolic Manifolds (2008) (0)
A Wall-Crossing Formula and the Invariance of GLSM Correlation Functions (2019) (0)
Superior Electrocatalysis Delivered by a Directional Electron Transfer Cascade in Hierarchical CoNi/Ru@C. (2022) (0)
(To appear in Intern. J. Math.) ORIENTABILITY AND REAL SEIBERG-WITTEN INVARIANTS (2008) (0)
On hyperelliptic $C^\infty$-Lefschetz fibrations of four-manifolds (1999) (0)
Photocatalysis: Homojunction of Oxygen and Titanium Vacancies and its Interfacial n-p Effect (Adv. Mater. 32/2018) (2018) (0)
THE V-SOLITON EQUATION ON COMPACT KÄHLER MANIFOLDS (2013) (0)
Calabi-Futaki invariants (2000) (0)
Ir-Pd nanoalloys with enhanced surface-microstructure-sensitive catalytic activity for oxygen evolution reaction in acidic and alkaline media (2021) (0)
Correlation functions of gauged linear $\sigma$-model (2014) (0)
KaÈ hler-Einstein metrics with positive scalar curvature (1997) (0)
Effects of van Hove Singularities on Transport of Quantum Dot Systems in Kondo Regime (2005) (0)
New geometric flows (2018) (0)
The Surface Energies of the Thomas-Fermi and the Thomas - Fermi - Von Weizsacker Metals. (1986) (0)
Constrain on possible pairing symmetry in a two-orbital model of FeAs-based superconductors (2008) (0)
The effect of a crystalline field on the supersolid ordering in a fermion system (1997) (0)
Asymptotic of Enumerative Invariants in $${\mathbb {C}}P^2$$CP2 (2018) (0)
Quantum phase transition in quarter-filled nanoclusters of manganite induced by element substitution at B site (2011) (0)
Uniqueness of Ks solitons (2006) (0)
Recent Progress on Kähler-Einstein Metrics (2021) (0)
Long Range Order in Orbital Model (2007) (0)

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