Gabriel Paternain

Gabriel Paternain's AcademicInfluence.com Rankings

Gabriel Paternain

Mathematics

#3111

World Rank

#4656

Historical Rank

Differential Geometry

#125

World Rank

#147

Historical Rank

Geometry

#220

World Rank

#305

Historical Rank

Group Theory

#308

World Rank

#359

Historical Rank

mathematics Degrees

Download Badge

Mathematics

Why Is Gabriel Paternain Influential?

(Suggest an Edit or Addition)

According to Wikipedia, Gabriel Pedro Paternain is a Uruguayan mathematician. He is Professor of Mathematics at the University of Washington. Previously he was a professor in DPMMS at the University of Cambridge, and a fellow of Trinity College. He obtained his Licenciatura from Universidad de la Republica in Uruguay in 1987, and his PhD from the State University of New York at Stony Brook in 1991. He has lectured several undergraduate and graduate courses and has gained widespread popularity due to his entertaining and informal lecturing style, which has been recognised by the university in the past for its high calibre. He was managing editor of the mathematical journal Mathematical Proceedings of the Cambridge Philosophical Society for the period 2006–2011.

(See a Problem?)

Gabriel Paternain'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

Lagrangian Graphs, Minimizing Measures and Mañé's Critical Values (1998) (202)
Periodic orbits for exact magnetic flows on surfaces (2004) (107)
Tensor tomography on surfaces (2011) (98)
Tensor tomography: Progress and challenges (2013) (87)
Minimal entropy and collapsing with curvature bounded from below (2000) (81)
Symplectic topology of Mañé's critical values (2009) (80)
On the topology of manifolds with completely integrable geodesic flows (1992) (76)
The boundary rigidity problem in the presence of a magnetic field (2006) (74)
Boundary rigidity for Lagrangian submanifolds, non-removable intersections, and Aubry-Mather theory (2002) (67)
Connecting orbits between static classes for generic Lagrangian systems (2002) (65)
The attenuated ray transform for connections and Higgs fields (2011) (65)
Contact geometry of the restricted three‐body problem (2010) (61)
Anosov magnetic flows, critical values and topological entropy (2002) (61)
Invariant distributions, Beurling transforms and tensor tomography in higher dimensions (2014) (55)
Spectral rigidity and invariant distributions on Anosov surfaces (2012) (53)
The geodesic X-ray transform with matrix weights (2016) (52)
Genericity of Geodesic Flows with Positive Topological Entropy on S2 (2002) (47)
Inverse problems for the connection Laplacian (2015) (47)
Efficient nonparametric Bayesian inference for $X$-ray transforms (2017) (44)
The Palais-Smale Condition and Mañé's Critical Values (2000) (42)
Critical values of autonomous Lagrangian systems (1997) (41)
The X-Ray Transform for Connections in Negative Curvature (2015) (38)
Magnetic rigidity of horocycle flows (2004) (38)
Consistent Inversion of Noisy Non‐Abelian X‐Ray Transforms (2019) (38)
On the existence of three closed magnetic geodesics for subcritical energies (2013) (37)
Detection of Hermitian connections in wave equations with cubic non-linearity (2019) (37)
New examples of manifolds with completely integrable geodesic flows (1990) (35)
Infinitely many periodic orbits of exact magnetic flows on surfaces for almost every subcritical energy level (2014) (35)
ENTROPY AND COMPLETELY INTEGRABLE HAMILTONIAN SYSTEMS (1991) (34)
Dynamically convex Finsler metrics and J-holomorphic embedding of asymptotic cylinders (2007) (33)
On Anosov energy levels of convex Hamiltonian systems (1994) (29)
On the regularity of the Anosov splitting for twisted geodesic flows (1997) (29)
First derivative of topological entropy for Anosov geodesic flows in the presence of magnetic fields (1997) (25)
On the Range of the Attenuated Ray Transform for Unitary Connections (2013) (25)
The asymptotic Maslov index and its applications (2003) (25)
On the topology of manifolds with completely integrable geodesic flows II (1994) (22)
Entropy and Collapsing of Compact Complex Surfaces (2003) (21)
Transparent connections over negatively curved surfaces (2008) (21)
Topological entropy for geodesic flows on fibre bundles over rationally hyperbolic manifolds (1997) (20)
Entropy Production in Gaussian Thermostats (2006) (20)
Zero entropy and bounded topology (2004) (20)
Statistical guarantees for Bayesian uncertainty quantification in nonlinear inverse problems with Gaussian process priors (2020) (18)
Schrödinger operators with magnetic fields and minimal action functionals (2001) (16)
Invariant distributions and the geodesic ray transform (2015) (15)
On two noteworthy deformations of negatively curved Riemannian metrics (1999) (15)
Inverse Problem for the Yang–Mills Equations (2020) (15)
Convex projective surfaces with compatible Weyl connection are hyperbolic (2018) (15)
Index computations in Rabinowitz Floer homology (2010) (14)
Carleman estimates for geodesic X-ray transforms (2018) (13)
Rigidity properties of Anosov optical hypersurfaces (2005) (12)
Multiplicity two actions and loop space homology (1993) (12)
On the cohomological equation of magnetic flows (2008) (11)
On the stability of Mañé critical hypersurfaces (2010) (11)
On the injectivity of the X-ray transform for Anosov thermostats (2007) (11)
Bäcklund transformations for transparent connections (2009) (11)
THE MINIMAL ENTROPY PROBLEM FOR 3-MANIFOLDS WITH ZERO SIMPLICIAL VOLUME (2000) (10)
On the growth rate of leaf-wise intersections (2011) (10)
Floer homology for magnetic fields with at most linear growth on the universal cover (2011) (10)
Holomorphic differentials, thermostats and Anosov flows (2017) (10)
On Anosov energy levels of hamiltonians on twisted cotangent bundles (1994) (10)
Stability is not open (2009) (10)
Transparent Pairs (2010) (9)
TOPOLOGICAL ENTROPY VERSUS GEODESIC ENTROPY (1994) (9)
COLLAPSING MANIFOLDS OBTAINED BY KUMMER-TYPE CONSTRUCTIONS (2005) (9)
Counting geodesics on a Riemannian manifold and topological entropy of geodesic flows (1996) (9)
The longitudinal KAM-cocycle of a magnetic flow (2004) (9)
Collective geodesic flows (2003) (8)
The non-Abelian X-ray transform on surfaces (2020) (8)
Entropy Production in Thermostats II (2006) (8)
Regularity of weak foliations for thermostats (2006) (8)
A sharp stability estimate for tensor tomography in non-positive curvature (2020) (8)
Equivariant symplectic homology of Anosov contact structures (2011) (7)
Magnetic Flows on Sol-Manifolds: Dynamical and Symplectic Aspects (2007) (7)
Topological pressure for geodesic flows (2000) (7)
The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds (2020) (7)
Conformal great circle flows on the 3-sphere (2015) (7)
Real analytic convex surfaces with positive topological entropy and rigid body dynamics (1993) (6)
Differentiable structures with zero entropy on simply connected 4-manifolds (2000) (6)
Helicity and the Ma\~n\'e critical value (2009) (6)
Functions of constant geodesic x-ray transform (2018) (6)
Resonant spaces for volume-preserving Anosov flows (2019) (6)
Lens Rigidity for a Particle in a Yang–Mills Field (2017) (6)
Expansivity for optical Hamiltonian systems with two degrees of freedom (1993) (6)
Floer homology for non-resonant magnetic fields on flat tori (2013) (5)
The Geodesic X-ray Transform with a GL (n, C)-Connection (2020) (5)
Stability of Anosov Hamiltonian Structures (2009) (5)
Conformal great circle flows on the three-sphere (2013) (5)
Broken ray tensor tomography with one reflecting obstacle (2018) (5)
Symplectic and contact properties of the Mañé critical value of the universal cover (2013) (4)
On the stability of Ma\~n\'e critical hypersurfaces (2009) (4)
On some information-theoretic aspects of non-linear statistical inverse problems (2021) (3)
Invariant distributions and the transport twistor space of closed surfaces (2023) (3)
Einstein manifolds of non-negative sectional curvature and entropy (2000) (3)
Hyperbolic dynamics of Euler-Lagrange flows on prescribed energy levels (1997) (3)
The Pressure of Ricci Curvature (2003) (2)
On the growth rate of contractible closed geodesics on reducible manifolds (2003) (2)
The geodesic X-ray transform with a $GL(n,\mathbb{C})$-connection (2016) (2)
The Transport Oka-Grauert principle for simple surfaces (2021) (2)
The attenuated ray transform for connections and Higgs fields (2012) (1)
Resonant forms at zero for dissipative Anosov flows (2022) (1)
Calculus of Variations On the stability of Mañé critical hypersurfaces (0)
Invariant distributions, Beurling transforms and tensor tomography in higher dimensions (2015) (0)
Transparent Pairs (2011) (0)
Tensor tomography: Progress and challenges (2014) (0)
Holomorphic differentials, thermostats and Anosov flows (2018) (0)
Differential Geometry , D Course (2012) (0)
Retrieving Yang--Mills--Higgs fields in Minkowski space from active local measurements (2022) (0)
A P ] 6 M ay 2 01 8 CARLEMAN ESTIMATES FOR GEODESIC X-RAY TRANSFORMS (0)
Symplectic and contact properties of the Mañé critical value of the universal cover (2014) (0)
Geometry and Inverse problems (2013) (0)
Introduction to Geodesic Flows (1999) (0)
Mañé’s Formula for Geodesic Flows and Convex Billiards (1999) (0)
Lens Rigidity for a Particle in a Yang–Mills Field (2019) (0)
Marked length spectrum rigidity for Anosov surfaces (2023) (0)
III.88 Symplectic Manifolds (2010) (0)
Vortices over Riemann surfaces and dominated splittings (2020) (0)
Tensor tomography on surfaces (2012) (0)
J un 2 00 4 ZERO ENTROPY AND BOUNDED TOPOLOGY (2004) (0)
ESTIMATES FOR GEODESIC X-RAY TRANSFORMS (2018) (0)
The Geodesic Flow Acting on Lagrangian Subspaces (1999) (0)
Topological Entropy and Loop Space Homology (1999) (0)
Complex Analysis (2018) (0)
A ug 2 00 5 RIGIDITY PROPERTIES OF ANOSOV OPTICAL HYPERSURFACES (2008) (0)
The X-Ray Transform for Connections in Negative Curvature (2015) (0)
The Geodesic X-ray Transform with a $$GL(n,\mathbb {C})$$GL(n,C)-Connection (2016) (0)
Equivariant symplectic homology of Anosov contact structures (2012) (0)
Geodesic Arcs, Counting Functions and Topological Entropy (1999) (0)

This paper list is powered by the following services:

Other Resources About Gabriel Paternain

en.wikipedia.org

What Schools Are Affiliated With Gabriel Paternain?

Gabriel Paternain is affiliated with the following schools:

Gabriel Paternain's Academic­Influence.com Rankings

Why Is Gabriel Paternain Influential?

Gabriel Paternain's Published Works

Published Works

Other Resources About Gabriel Paternain

What Schools Are Affiliated With Gabriel Paternain?

Gabriel Paternain's AcademicInfluence.com Rankings