Xiaonan Ma | Academic Influence

Xiaonan Ma's AcademicInfluence.com Rankings

Xiaonan Ma

Mathematics

#4705

World Rank

#6662

Historical Rank

Algebraic Geometry

#232

World Rank

#243

Historical Rank

Number Theory

#446

World Rank

#549

Historical Rank

Algebra

#760

World Rank

#990

Historical Rank

mathematics Degrees

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Mathematics

Xiaonan Ma's Degrees

Bachelors Mathematics Peking University
PhD Mathematics Tsinghua University

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Why Is Xiaonan Ma Influential?

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According to Wikipedia, Xiaonan Ma is a Chinese mathematician working in global analysis and local index theory. Career Xiaonan Ma obtained his Bachelor-Diploma from the University of Wuhan and received his Ph.D. in 1998 under the direction of Jean-Michel Bismut at the University of Paris-Sud with a thesis entitled Formes de torsion analytique et familles de submersions. He was a researcher at the French National Centre for Scientific Research CNRS from 2001 to 2007, working at the Centre de Mathématiques Laurent Schwartz of the École Polytechnique. After the habilitation in 2005 he became a professor at the University Paris VII in 2007.

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Xiaonan Ma'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 Papers

Holomorphic Morse Inequalities and Bergman Kernels (2007) (520)
On the asymptotic expansion of Bergman kernel (2004) (182)
Generalized Bergman kernels on symplectic manifolds (2004) (131)
Toeplitz Operators on Symplectic Manifolds (2008) (96)
The spin $^{\bf c}$ Dirac operator on high tensor powers of a line bundle (2001) (61)
An anomaly formula for Ray-Singer metrics on manifolds with boundary (2002) (54)
Geometric quantization for proper moment maps: the Vergne conjecture (2008) (53)
Quantum Hall Effect and Quillen Metric (2015) (52)
Exponential estimate for the asymptotics of Bergman kernels (2013) (50)
BerezinToeplitz quantization on Khler manifolds (2010) (48)
On the gluing formula for the analytic torsion (2013) (43)
Orbifolds and analytic torsions (2005) (42)
Submersions and equivariant Quillen metrics (2000) (41)
Geometric Quantization on Kähler and Symplectic Manifolds (2011) (39)
THE FIRST COEFFICIENTS OF THE ASYMPTOTIC EXPANSION OF THE BERGMAN KERNEL OF THE Spinc DIRAC OPERATOR (2005) (38)
Formes de torsion analytique et familles de submersions (1997) (38)
Functoriality of real analytic torsion forms (2002) (38)
Geometric quantization for proper moment maps (2008) (36)
Equidistribution for sequences of line bundles on normal Kähler spaces (2014) (29)
Bergman kernels and symplectic reduction (2005) (29)
Berezin-Toeplitz quantization and its kernel expansion (2012) (28)
Rigidity and vanishing theorems in $K$-theory (1999) (26)
An anomaly formula for Ray–Singer metrics on manifolds with boundary (2006) (25)
On orbifold elliptic genus (2001) (25)
ASYMPTOTIC TORSION AND TOEPLITZ OPERATORS (2015) (24)
Formes de torsion analytique et families de submersions II (2000) (23)
Equidistribution and convergence speed for zeros of holomorphic sections of singular Hermitian line bundles (2014) (23)
A REMARK ON 'SOME NUMERICAL RESULTS IN COMPLEX DIFFERENTIAL GEOMETRY' (2006) (23)
$Spin^c$ manifolds and rigidity theorems in $K$-theory (2000) (22)
Elliptic Genus and Vertex Operator Algebras (2002) (22)
Berezin–Toeplitz Quantization for Eigenstates of the Bochner Laplacian on Symplectic Manifolds (2017) (21)
Holomorphic immersions and equivariant torsion forms (2004) (21)
Bergman kernels on punctured Riemann surfaces (2016) (19)
Eta-invariants, torsion forms and flat vector bundles (2004) (19)
Semi-classical properties of Berezin–Toeplitz operators with Ck-symbol (2013) (18)
A REMARK ON WEIGHTED BERGMAN KERNELS ON ORBIFOLDS (2011) (16)
Equidistribution speed for Fekete points associated with an ample line bundle (2015) (15)
Generalized Bergman kernels on symplectic manifolds of bounded geometry (2018) (14)
Donaldson’s Q-operators for symplectic manifolds (2017) (13)
Superconnection and family Bergman kernels (2006) (13)
Remark on the Off-Diagonal Expansion of the Bergman Kernel on Compact Kähler Manifolds (2013) (10)
On Elliptic Genera and Foliations (1999) (10)
η-Invariant and Flat Vector Bundles* (2006) (9)
Transversal Index and L 2 -index for Manifolds with Boundary (2012) (9)
Geometric quantization on CR manifolds (2019) (8)
The Impact of Exchange Rate Regimes on Economic Growth with Continuous Classification of de facto Regimes (2019) (8)
Geometric hypoelliptic Laplacian and orbital integrals (after Bismut, Lebeau, and Shen) (2017) (7)
$K$-theory associated to vertex operator algebras (2004) (6)
Quantum Hall effect, Quillen metric and holomorphic anomaly (2015) (5)
On the asymptotic behavior of Bergman kernels for positive line bundles (2016) (5)
Differential K-theory, η-invariant, and localization (2019) (4)
Scaling asymptotics of heat kernels of line bundles (2014) (4)
η-invariant and flat vector bundles II (2006) (4)
Transversal holomorphic sections and localization of analytic torsions (2005) (4)
Differential K-theory and localization formula for $$\eta $$-invariants (2018) (4)
Rigidity and Vanishing Theorems in K-Theory II (2000) (3)
Geometric Quantization in the Non-compact Setting (2011) (3)
AN ANOMALY FORMULA FOR L 2 -ANALYTIC TORSIONS ON MANIFOLDS WITH BOUNDARY (2006) (3)
Quotient of Bergman kernels on punctured Riemann surfaces (2020) (3)
Optimal convergence speed of Bergman metrics on symplectic manifolds (2017) (3)
Characteristic Laplacian in Sub-Riemannian Geometry (2013) (2)
Erratum to: On the gluing formula for the analytic torsion (2014) (2)
Orbifold Submersion and Analytic Torsions (2021) (2)
Information disclosure, information quality, and controlling large shareholders (2014) (1)
Bergman kernels on punctured Riemann surfaces (2020) (1)
Flat vector bundles and analytic torsion forms (2001) (1)
The Stock Market and Discrimination in Mortgage Lending (2019) (1)
BerezinToeplitz quantization on Khler manifolds (2012) (1)
Formes de torsion analytique et fibrations singulières (2003) (1)
Bergman kernels and equidistribution for sequences of line bundles on Kähler manifolds (2020) (1)
Berezin–Toeplitz Quantization for Eigenstates of the Bochner Laplacian on Symplectic Manifolds (2018) (0)
Differential K -theory and localization formula for η-invariants (2020) (0)
TOEPLITZ QUANTIZATION AND SYMPLECTIC REDUCTION (2006) (0)
THE ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS SUBMERSIONS AND EQUIVARIANT QUILLEN METRICS (2005) (0)
Comparison of two equivariant η-forms (2022) (0)
Quantum Hall Effect and Quillen Metric (2016) (0)
On the gluing formula for the analytic torsion (2012) (0)
Proceedings of the International Congress of Mathematicians Hyderabad, India, 2010 (2010) (0)
THE ASYMPTOTIC EXPANSION OF BERGMAN KERNELS ON SYMPLECTIC MANIFOLDS(Analytic Geometry of the Bergman Kernel and Related Topics) (2006) (0)
Donaldson’s Q-operators for symplectic manifolds (2017) (0)
Payday Lending and the Opioid Epidemic (2021) (0)
D G ] 3 0 Ju l 2 00 5 η-invariant and flat vector bundles (2021) (0)
Bank Management Sentiment and Liquidity Hoarding (2020) (0)
Differential Geometry Superconnection and family Bergman kernels (2007) (0)
From Local Index Theory to Bergman Kernel: A Heat Kernel Approach (2020) (0)
Quantization Commutes with Reduction, a Survey (2021) (0)
Managerial Sentiment and Corporate Liquidity Hoarding: Evidence from the Special Case of Banking (2020) (0)
Erratum to: On the gluing formula for the analytic torsion (2014) (0)
Remark on the Off-Diagonal Expansion of the Bergman Kernel on Compact Kähler Manifolds (2013) (0)
Differential Geometry Geometric quantization for proper moment maps (2009) (0)
Comparison of two equivariant $\eta$-forms (2018) (0)
Quillen metrics and branched coverings (2023) (0)
D G ] 1 9 A pr 2 00 6 η-invariant and flat vector bundles II (2006) (0)

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