2026 Tristan Rivière: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	36	2657	2373	45	43	141	5118

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

2657

2373

141

5118

Overview

Tristan Rivière is affiliated with ETH Zurich in Switzerland and actively contributes to the field of mathematics. Their research primarily spans several areas within mathematics, particularly applied mathematics, geometry and topology, and mathematical physics.

The scientist's publication record counts over 100 works in mathematics, with a focus on geometric analysis, curvature flows, complex manifolds, and nonlinear partial differential equations. Important subfields of their study include applied mathematics, geometry and topology, mathematical physics, statistical and nonlinear physics, and astronomy and astrophysics.

Tristan Rivière's main research topics include:

Geometric Analysis and Curvature Flows
Geometry and complex manifolds
Nonlinear Partial Differential Equations
Geometric and Algebraic Topology
Advanced Mathematical Modeling in Engineering
Advanced Differential Geometry Research
Advanced Mathematical Physics Problems

Their work is published frequently in outlets such as arXiv (Cornell University), the Journal of the Institute of Mathematics of Jussieu, Communications on Pure and Applied Mathematics, the Journal of Functional Analysis, and the Duke Mathematical Journal. These venues reflect a consistent engagement with high-level mathematical discourse.

Among notable recent papers authored or co-authored by Tristan Rivière are:

"Willmore minmax surfaces and the cost of the sphere eversion", 2020, Journal of the European Mathematical Society
"Almost monotonicity formula for H-minimal Legendrian surfaces in the Heisenberg group", 2023, Communications on Pure and Applied Mathematics

Other relevant papers connected to their research circle include:

"The Classification of Branched Willmore Spheres in the 3-Sphere and the 4-Sphere", 2022, Annales Scientifiques de l École Normale Supérieure
"A proof of the multiplicity 1 conjecture for min-max minimal surfaces in arbitrary codimension", 2020, Duke Mathematical Journal
"Pointwise Expansion of Degenerating Immersions of Finite Total Curvature", 2022, Journal of Geometric Analysis

Tristan Rivière collaborates regularly with several researchers. Frequent co-authors include Francesca Da Lio, Bruno Klingler, Nicolás Lerner, Denis Auroux, and Nantel Bergeron, each contributing multiple joint works.

Best Publications

Conservation laws for conformally invariant variational problems

Tristan Rivière

391
Citations
Analysis aspects of Willmore surfaces

Tristan Rivière

301
Citations
Everywhere discontinuous harmonic maps into spheres

Tristan Rivière

231
Citations
Linear and Nonlinear Aspects of Vortices: The Ginzburg-andau Model

Frank Pacard;Tristan Rivière

198
Citations
Partial Regularity for Harmonic Maps and Related Problems

Tristan Rivière;Michael Struwe

182
Citations
Three-term commutator estimates and the regularity of $\half$-harmonic maps into spheres

Da Lio Francesca;Tristan Rivière

158
Citations
Vortices for a variational problem related to superconductivity

Fabrice Bethuel;Tristan Rivière

156
Citations
Linear and Nonlinear Aspects of Vortices

Frank Pacard;Tristan Rivière

151
Citations
Complex Ginzburg-Landau equations in high dimensions and codimension two area minimizing currents

Fanghua Lin;Tristan Rivière

145
Citations
Quantization effects for −Δu = u(1 − |u|2) in ℝ2

Haïm Brezis;Frank Merle;Tristan Rivière

133
Citations
Sub-criticality of non-local Schrödinger systems with antisymmetric potentials and applications to half-harmonic maps

Francesca Da Lio;Francesca Da Lio;Tristan Rivière

133
Citations
Variational Principles for immersed Surfaces with L 2 -bounded Second Fundamental Form.

Tristan Rivière

120
Citations
A quantization property for static Ginzburg-Landau vortices

Fang-Hua Lin;Tristan Rivire

113
Citations
Limiting domain wall energy for a problem related to micromagnetics

Tristan Rivière;Sylvia Serfaty

101
Citations
Line vortices in the U(1) Higgs model

Tristan Riviere

100
Citations
Compactness, kinetic formulation, and entropies for a problem related to micromagnetics

Tristan Rivière;Sylvia Serfaty

99
Citations
Conservation Laws for Fourth Order Systems in Four Dimensions

Tobias Lamm;Tristan Riviere

99
Citations
Weak density of smooth maps for the Dirichlet energy between manifolds

M.R.. Pakzad;T. Rivière

96
Citations
Energy quantization for harmonic maps

Fang-Hua Lin;Tristan Rivière

95
Citations
Néel and Cross-Tie Wall Energies for Planar Micromagnetic Configurations

François Alouges;Tristan Rivière;Sylvia Serfaty

94
Citations
Connecting topological Hopf singularities

Robert Hardt;Tristan Rivière

94
Citations

Frequent Co-Authors

Frank Pacard École Polytechnique

Fanghua Lin Courant Institute of Mathematical Sciences

Gang Tian Peking University

Luigi Ambrosio National Research Council (CNR)

Sylvia Serfaty Courant Institute of Mathematical Sciences

Camillo De Lellis Institute for Advanced Study

Michael Struwe ETH Zurich

Haim Brezis Rutgers, The State University of New Jersey

Frank Merle CY Cergy Paris University

Robert Hardt Rice University

External Links

Personal website of Tristan Rivière

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