2026 Gabriel P. Paternain: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	34	2968	2657	194	174	148	3295

Gabriel P. Paternain publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Gabriel P. Paternain sits on this spectrum.

42 publications 537+

This scientist: 148 publications — 37th percentile

37% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Gabriel P. Paternain D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Gabriel P. Paternain sits on this spectrum.

30 D-Index 86+

This scientist: 34 D-Index — 21st percentile

21% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Overview

Gabriel P. Paternain is affiliated with the University of Cambridge in the United Kingdom. Their research focuses primarily on the field of Mathematics, with significant contributions across several subfields including Mathematical Physics, Geometry and Topology, Applied Mathematics, Computational Theory and Mathematics, and Artificial Intelligence.

Their work spans numerous topics within mathematics, notably numerical methods in inverse problems, mathematical dynamics and fractals, advanced mathematical modeling in engineering, geometric and algebraic topology, geometry and complex manifolds, geometric analysis and curvature flows, and Gaussian processes and Bayesian inference.

Frequent co-authors collaborating with Gabriel P. Paternain include:

Mikko Salo
Günther Uhlmann
Jan Bohr
François Monard
Richard Nickl

The scientist has contributed to various publication venues, with multiple papers appearing in:

arXiv (Cornell University)
Mathematical Proceedings of the Cambridge Philosophical Society
Communications on Pure and Applied Mathematics
The Annals of Statistics
Journal of the European Mathematical Society

Some of their recent papers include:

Consistent Inversion of Noisy Non-Abelian X-Ray Transforms, 2020, Communications on Pure and Applied Mathematics
Statistical guarantees for Bayesian uncertainty quantification in nonlinear inverse problems with Gaussian process priors, 2021, The Annals of Statistics
Detection of Hermitian connections in wave equations with cubic non-linearity, 2021, Journal of the European Mathematical Society
Convex projective surfaces with compatible Weyl connection are hyperbolic, 2020, Analysis & PDE
The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds, 2022, Inventiones mathematicae

Gabriel P. Paternain has also published a book titled Geometric Inverse Problems in 2023 through Cambridge University Press.

Best Publications

Lagrangian Graphs, Minimizing Measures and Mañé's Critical Values

G. Contreras;R. Iturriaga;G.P. Paternain;M. Paternain

237
Citations
Periodic orbits for exact magnetic flows on surfaces

Gonzalo Contreras;Leonardo Macarini;Gabriel P. Paternain

126
Citations
Tensor tomography on surfaces

Gabriel P. Paternain;Mikko Salo;Gunther Uhlmann;Gunther Uhlmann

126
Citations
Symplectic topology of Ma\~n'e's critical values

K. Cieliebak;U. Frauenfelder;G.P. Paternain

123
Citations
Tensor tomography: Progress and challenges

Gabriel P. Paternain;Mikko Salo;Gunther Uhlmann

106
Citations
The boundary rigidity problem in the presence of a magnetic field

Nurlan S. Dairbekov;Gabriel P. Paternain;Plamen D. Stefanov;Gunther Uhlmann

92
Citations
Minimal entropy and collapsing with curvature bounded from below

Gabriel P. Paternain;Jimmy Petean

89
Citations
On the topology of manifolds with completely integrable geodesic flows

Gabriel P. Paternain

87
Citations
Contact geometry of the restricted three‐body problem

Peter Albers;Urs Frauenfelder;Otto Van Koert;Gabriel P. Paternain

84
Citations
Symplectic topology of Mañé's critical values

Kai Cieliebak;Urs Frauenfelder;Gabriel P Paternain

81
Citations
Invariant distributions, Beurling transforms and tensor tomography in higher dimensions

Gabriel Pedro Paternain;Mikko Salo;Gunther Uhlmann;Gunther Uhlmann

78
Citations
Boundary rigidity for Lagrangian submanifolds, non-removable intersections, and Aubry-Mather theory

Gabriel P. Paternain;Leonid Polterovich;Karl Friedrich Siburg

77
Citations
The attenuated ray transform for connections and Higgs fields

Gabriel P. Paternain;Mikko Salo;Gunther Uhlmann;Gunther Uhlmann

77
Citations
The contact geometry of the restricted 3-body problem

Peter Albers;Urs Frauenfelder;Otto van Koert;Gabriel P. Paternain

76
Citations
Connecting orbits between static classes for generic Lagrangian systems

Gonzalo Contreras;Gabriel P. Paternain

73
Citations
The geodesic X-ray transform with matrix weights

Gabriel P. Paternain;Mikko Salo;Günther Uhlmann;Hanming Zhou

73
Citations
Anosov magnetic flows, critical values and topological entropy

Keith Burns;Gabriel P Paternain

71
Citations
Magnetic rigidity of horocycle flows

Gabriel P. Paternain

64
Citations
Spectral rigidity and invariant distributions on Anosov surfaces

Gabriel Pedro Paternain;Mikko Salo;Gunther Uhlmann

62
Citations
On the existence of three closed magnetic geodesics for subcritical energies

Alberto Abbondandolo;Leonardo Macarini;Gabriel P. Paternain

58
Citations

Frequent Co-Authors

Gunther Uhlmann University of Washington

Mikko Salo University of Jyväskylä

Matti Lassas University of Helsinki

Plamen Stefanov Purdue University West Lafayette

Leonid Polterovich Tel Aviv University

Peter Albers Heinrich Heine University Düsseldorf

External Links

Personal website of Gabriel P. Paternain Google Scholar page

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