Maria Gordina | Academic Influence

Maria Gordina's AcademicInfluence.com Rankings

Maria Gordina

Mathematics

#5315

World Rank

#7489

Historical Rank

Algebraic Geometry

#248

World Rank

#259

Historical Rank

Number Theory

#499

World Rank

#616

Historical Rank

Measure Theory

#5078

World Rank

#6001

Historical Rank

mathematics Degrees

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Mathematics

Maria Gordina's Degrees

PhD Mathematics Princeton University
Masters Mathematics Moscow State University
Bachelors Mathematics Moscow State University

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Why Is Maria Gordina Influential?

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According to Wikipedia, Maria Gordina is a Russian-American mathematician. She is a professor of mathematics at the University of Connecticut. Her research is at the interface between stochastic analysis, differential geometry, and functional analysis, including the study of heat kernels on infinite-dimensional groups.

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Maria Gordina'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

Heat Kernel Analysis on Infinite-Dimensional Heisenberg Groups (2008) (39)
Holomorphic Functions and the Heat Kernel Measure on an Infinite Dimensional Complex Orthogonal Group (1998) (37)
Quasi-invariance for heat kernel measures on sub-Riemannian infinite-dimensional Heisenberg groups (2011) (32)
Sub-Laplacians on Sub-Riemannian Manifolds (2014) (31)
Heat Kernel Analysis and Cameron–Martin Subgroup for Infinite Dimensional Groups (2000) (28)
Integrated Harnack inequalities on Lie groups (2007) (26)
Weak Convergence to Brownian Motion on Sub-Riemannian Manifolds (2014) (25)
Dimension-Independent Harnack Inequalities for Subordinated Semigroups (2010) (25)
Gamma Calculus Beyond Villani and Explicit Convergence Estimates for Langevin Dynamics with Singular Potentials (2019) (21)
Hilbert–Schmidt groups as infinite-dimensional Lie groups and their Riemannian geometry (2005) (19)
A note on local controllability on Lie groups (2008) (18)
Infinite dimensional stochastic differential equations of Ornstein-Uhlenbeck type (2005) (18)
Integration by parts and quasi-invariance for the horizontal Wiener measure on foliated compact manifolds (2017) (15)
TAYLOR MAP ON GROUPS ASSOCIATED WITH A II1-FACTOR (2002) (13)
Lévy processes and their subordination in matrix Lie groups (2007) (12)
Square integrable holomorphic functions on infinite-dimensional Heisenberg type groups (2008) (11)
Coupling in the Heisenberg group and its applications to gradient estimates (2016) (10)
Quasi-invariance for the pinned Brownian motion on a Lie group (2003) (10)
Equivalence of the Brownian and Energy Representations (2015) (10)
Riemannian geometry of Diff(S1)/S1 (2006) (10)
An application of a functional inequality to quasi-invariance in infinite dimensions (2016) (9)
HEAT KERNEL ANALYSIS ON INFINITE DIMENSIONAL GROUPS (2005) (8)
Gradient bounds for Kolmogorov type diffusions (2018) (8)
Left-invariant geometries on SU(2) are uniformly doubling (2017) (8)
Small deviations and Chung’s law of iterated logarithm for a hypoelliptic Brownian motion on the Heisenberg group (2020) (7)
Diffeomorphisms of the circle and Brownian motions on an infinite-dimensional symplectic group (2008) (7)
Harnack inequalities in infinite dimensions (2012) (6)
Weighted L 2-contractivity of Langevin dynamics with singular potentials (2021) (6)
Hypoelliptic Heat Kernels on Nilpotent Lie Groups (2016) (6)
A subelliptic Taylor isomorphism on infinite-dimensional Heisenberg groups (2011) (4)
Complete Modified Logarithmic Sobolev inequality for sub-Laplacian on $SU(2)$ (2022) (3)
On the Cheng-Yau gradient estimate for Carnot groups and sub-Riemannian manifolds (2018) (3)
Dirichlet Sub-Laplacians on Homogeneous Carnot Groups: Spectral Properties, Asymptotics, and Heat Content (2022) (3)
Lévy Processes in a Step 3 Nilpotent Lie Group (2012) (2)
Singular perturbations of Ornstein-Uhlenbeck processes: integral estimates and Girsanov densities (2018) (2)
Diameter theorems on K\"ahler and quaternionic K\"ahler manifolds under a positive lower curvature bound (2021) (2)
Stochastic Differential Equations on Noncommutative L (2002) (1)
Hypoelliptic Heat Kernels on Nilpotent Lie Groups (2016) (1)
Riemannian geometry of Diff(S1)/S1 revisited (2007) (1)
Hypoelliptic Heat Kernel on Nilpotent Lie Groups (2015) (1)
Ornstein–Uhlenbeck processes with singular drifts: integral estimates and Girsanov densities (2018) (1)
Logarithmic Sobolev inequalities on non-isotropic Heisenberg groups (2021) (1)
Quasi-Invariance for Infinite-Dimensional Kolmogorov Diffusions (2021) (0)
Sub-Laplacians on Sub-Riemannian Manifolds (2016) (0)
Maria Gordina and Alexander Teplyaev Interview November 29, 1994 (1994) (0)
Equivalence of the Brownian and Energy Representations (2016) (0)
Notions of null sets in infinite-dimensional Carnot groups (2023) (0)
PR ] 2 J un 2 02 1 QUASI-INVARIANCE FOR INFINITE-DIMENSIONAL KOLMOGOROV DIFFUSIONS (2021) (0)
A random walk through sub-Riemannian geometry (2014) (0)
Lévy Processes in a Step 3 Nilpotent Lie Group (2013) (0)
Spectral gap bounds on H-type groups (2023) (0)
Towards Automatic Seizure Onset Detection in Epilepsy Patients : A Systems Approach (2016) (0)
Riemannian geometry of ${\rm Diff}(S^1)/S^1$ and representations of the Virasoro algebra (2005) (0)
On the Onsager-Machlup functional for the Brownian motion on the Heisenberg group (2019) (0)
A subelliptic Taylor isomorphism on infinite-dimensional Heisenberg groups (2011) (0)
Left-invariant geometries on SU(2) are uniformly doubling (2018) (0)
A Note on Local Controllability on Matrix Groups (2007) (0)
PR ] 2 3 N ov 2 01 5 EQUIVALENCE OF THE BROWNIAN AND ENERGY REPRESENTATIONS (2021) (0)
To appear in Potential Analysis. DIMENSION-INDEPENDENT HARNACK INEQUALITIES FOR SUBORDINATED SEMIGROUPS (2010) (0)
The stochastic Schwarz lemma on K\"ahler manifolds by couplings and its applications (2022) (0)
Large deviations principle for sub-Riemannian random walks (2022) (0)
D G ] 3 J un 2 02 1 DIAMETER THEOREMS ON KÄHLER AND QUATERNIONIC KÄHLER MANIFOLDS UNDER A POSITIVE LOWER CURVATURE BOUND (2021) (0)

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What Schools Are Affiliated With Maria Gordina?

Maria Gordina is affiliated with the following schools: