2026 Tudor S. Ratiu: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	59	575	483	9	9	342	25035

Research.com Recognitions

2026 - Research.com Mathematics in Switzerland Leader Award
2025 - Research.com Mathematics in Switzerland Leader Award
2019 - Member of Academia Europaea
2013 - Fellow of the American Mathematical Society
1983 - Fellow of Alfred P. Sloan Foundation

Overview

Tudor S. Ratiu is affiliated with the École Polytechnique Fédérale de Lausanne in Switzerland. Their research spans multiple aspects of mathematics and physics, with a focus on mathematical physics, geometry and topology, and statistical and nonlinear physics. The scientist has contributed extensively to advanced algebra and geometry, quantum chaos and dynamical systems, homotopy and cohomology in algebraic topology, as well as advanced differential equations, nonlinear waves, solitons, and other advanced mathematical theories.

Recent publications include:

Stochastic Variational Principles for Dissipative Equations with Advected Quantities, 2022, Journal of Nonlinear Science
Simultaneous local normal forms of dynamical systems with singular underlying geometric structures, 2024, Nonlinearity
On the Eringen model for nematic liquid crystals, 2021, Comptes Rendus Mécanique
Geodesic flows on real forms of complex semi-simple Lie groups of rigid body type, 2020, Research in the Mathematical Sciences
Convexity of Singular Affine Structures and Toric-Focus Integrable Hamiltonian Systems, 2023, Memoirs of the American Mathematical Society

Frequent co-authors include:

John Gough
O. G. Smolyanov
Tobias Diez
Nguyen Tien Zung
François Gay-Balmaz

Most of Tudor S. Ratiu's work has been published in venues such as arXiv (Cornell University), Proceedings of the Steklov Institute of Mathematics, Труды Математического института им Стеклова, Journal of Nonlinear Science, and Nonlinearity. The scientist's strong publication presence in these journals reflects a broad engagement with both theoretical and applied mathematics.

The scientific fields they focus on are primarily:

Mathematics
Physics and Astronomy

Within these fields, subfields of study include:

Mathematical Physics
Geometry and Topology
Statistical and Nonlinear Physics
Applied Mathematics
Artificial Intelligence

Tudor S. Ratiu's work covers the following main topics:

Advanced Algebra and Geometry
Quantum chaos and dynamical systems
Homotopy and Cohomology in Algebraic Topology
Advanced Differential Equations and Dynamical Systems
Nonlinear Waves and Solitons
Advanced mathematical theories
Geometric and Algebraic Topology

In recognition of contributions to the field, Tudor S. Ratiu has been named a Fellow of the Alfred P. Sloan Foundation in 1983, a Fellow of the American Mathematical Society in 2013, and became a Member of Academia Europaea in 2019.

Best Publications

Introduction to Mechanics and Symmetry: A Basic Exposition of Classical Mechanical Systems

Jerrold E. Marsden;Tudor S. Ratiu

4544
Citations
Manifolds, tensor analysis, and applications

R. Abraham;J. E. Marsden;T. Ratiu;Cecile DeWitt‐Morette

3547
Citations
Introduction to mechanics and symmetry

Jerrold E. Marsden;Tudor S. Ratiu

3093
Citations
Nonlinear stability of fluid and plasma equilibria

Darryl D. Holm;Jerrold E. Marsden;Tudor S. Ratiu;Alan Weinstein

1180
Citations
The Euler–Poincaré Equations and Semidirect Products with Applications to Continuum Theories

Darryl D. Holm;Jerrold E. Marsden;Tudor S. Ratiu

1146
Citations
Momentum Maps and Hamiltonian Reduction

Juan-Pablo Ortega;Tudor S. Ratiu

584
Citations
Semidirect products and reduction in mechanics

Jerrold E. Marsden;Tudor S. Ratiu;Alan Weinstein

472
Citations
Reduction of Poisson manifolds

Jerrold E. Marsden;Tudor S. Ratiu

424
Citations
Reduction, symmetry, and phases in mechanics

Jerrold E. Marsden;Richard Montgomery;Tudor S. Ratiu

422
Citations
EULER-POINCARE MODELS OF IDEAL FLUIDS WITH NONLINEAR DISPERSION

Darryl D. Holm;Jerrold E. Marsden;Tudor S. Ratiu

418
Citations
Hamiltonian Reduction by Stages

Jerrold E. Marsden;Gerard Misiolek;Juan-Pablo Ortega;Matthew Perlmutter

309
Citations
Lagrangian Reduction by Stages

Hernán Cendra;Jerrold E. Marsden;Tudor S. Ratiu

295
Citations
The Euler-Poincaré equations and double bracket dissipation

Anthony M. Bloch;P. S. Krishnaprasad;Jerrold E. Marsden;Tudor S. Ratiu

288
Citations
Foundations of Mechanics: 2nd Edition

Jerrold E. Marsden;Tudor Ratiu;Ralph Abraham

287
Citations
Richardson number criterion for the nonlinear stability of three-dimensional stratified flow

Henry D. I. Abarbanel;Darryl D. Holm;Jerrold E. Marsden;Tudor S. Ratiu

231
Citations
Dissipation Induced Instabilities

Anthony M. Bloch;Perinkulam S. Krishnaprasad;Jerrold E. Marsden;Tudor S. Ratiu

225
Citations
The Hamiltonian structure for dynamic free boundary problems

D Lewis;J Marsden;R Montgomery;T Ratiu

199
Citations
Nonlinear Stability Analysis of Stratified Fluid Equilibria

Henry D. I. Abarbanel;Darryl D. Holm;Jerrold E. Marsden;Tudor S. Ratiu

191
Citations
The motion of the free $n$-dimensional rigid body

Tudor S. Ratiu

182
Citations
Geometric mechanics, Lagrangian reduction, and nonholonomic systems

Hernán Cendra;Jerrold E. Marsden;Tudor S. Ratiu

168
Citations
The Breadth of Symplectic and Poisson Geometry

Jerrold E. Marsden;Tudor S. Ratiu

99
Citations

Frequent Co-Authors

Jerrold E. Marsden California Institute of Technology

Darryl D. Holm Imperial College London

Anthony M. Bloch University of Michigan–Ann Arbor

Steve Shkoller University of California, Davis

Alan Weinstein University of California, Berkeley

Perinkulam S. Krishnaprasad University of Maryland, College Park

Roger W. Brockett Harvard University

Peter W. Michor University of Vienna

Yakov Eliashberg Stanford University

Philip Morrison The University of Texas at Austin

External Links

Wikipedia of Tudor S. Ratiu Personal website of Tudor S. Ratiu Google Scholar page

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