Frédéric Hélein

Frédéric Hélein's AcademicInfluence.com Rankings

Frédéric Hélein

Mathematics

#1232

World Rank

#2066

Historical Rank

Geometry

#94

World Rank

#149

Historical Rank

Differential Geometry

#133

World Rank

#155

Historical Rank

Measure Theory

#4220

World Rank

#4974

Historical Rank

mathematics Degrees

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Mathematics

Why Is Frédéric Hélein Influential?

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According to Wikipedia, Frédéric Hélein is a French mathematician. He is university professor at Paris Diderot University. Hélein earned his doctorate at École polytechnique under supervision of Jean-Michel Coron. In 1998 Hélein was an Invited Speaker of the International Congress of Mathematicians in Berlin. He won the 1999 Fermat Prize, jointly with Fabrice Bethuel, for several important contributions to the theory of variational calculus.

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Frédéric Hélein'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

Harmonic Maps, Conservation Laws, And Moving Frames (2002) (427)
Asymptotics for the minimization of a Ginzburg-Landau functional (1993) (321)
Hamiltonian stationary Lagrangian surfaces in C^2 (2000) (111)
Covariant Hamiltonian formalism for the calculus of variations with several variables (2002) (83)
Regularity of weakly harmonic maps from a surface into a manifold with symmetries (1991) (78)
Constant Mean Curvature Surfaces, Harmonic Maps, and Integrable Systems (2001) (65)
Weierstrass representation of Lagrangian surfaces in four-dimensional space using spinors and quaternions (2000) (61)
A Cohomological Criterion for Density of Smooth Maps in Sobolev Spaces Between Two Manifolds (1991) (56)
Bifurcation analysis of minimizing harmonic maps describing the equilibrium of nematic phases between cylinders (1992) (55)
Hamiltonian stationary Lagrangian surfaces in $\mathbb{C}^2$ (2002) (48)
On an overdetermined elliptic problem (2011) (48)
Hamiltonian stationary Lagrangian surfaces in Hermitian symmetric spaces (2000) (39)
Harmonic maps: Dedicated to the memory of James Eells (2008) (33)
Hamiltonian formalisms for multidimensional calculus of variations and perturbation theory (2002) (32)
Harmonic maps , conservation laws and moving frames Second edition (2002) (30)
Harmonic diffeomorphisms, minimizing harmonic maps and rotational symmetry (1989) (25)
Variational Problems in Differential Geometry: Multisymplectic formalism and the covariant phase space (2009) (25)
Willmore immersions and loop groups (1998) (23)
Nematics : mathematical and physical aspects (1991) (21)
Harmonic maps with symmetry (2002) (16)
An introduction to supermanifolds and supersymmetry (2020) (12)
Curved Space-Times by Crystallization of Liquid Fiber Bundles (2015) (10)
0 Finite dimensional Hamiltonian formalism for gauge and field theories (2000) (10)
Approximations of Sobolev maps between an open set and an Euclidean sphere, boundary data, and singularities (1989) (9)
Removability of singularities of harmonic maps into pseudo-Riemannian manifolds (2003) (8)
A representation formula for maps on supermanifolds (2006) (7)
Weierstrass Type Representations (2018) (7)
Manifolds obtained by soldering together points, lines, etc (2009) (6)
A Weierstrass representation for Willmore surfaces (2004) (6)
On weakly harmonic maps and Noether harmonic maps from a Riemann surface into a Riemannian manifold (1992) (5)
FOUR LAMBDA STORIES , AN INTRODUCTION TO COMPLETELY INTEGRABLE SYSTEMS by (2007) (5)
Phenomena of compensation and estimates for partial differential equations. (1998) (4)
On Konopelchenko's representation for surfaces in 4 dimensions (2001) (4)
Harmonic Diffeomorphisms between Riemannian Manifolds (1990) (3)
ON THE SOLITON-PARTICLE DUALITIES (2005) (3)
On solutions to the Ginzburg-Landau equations in higher dimensions (2002) (3)
A remark on compact H-surfaces into ${\mathbb R}^3$ (2002) (2)
Problemes variationnels invariants par transformation conforme en dimension 2 (2001) (2)
Energy estimates for S1-valued maps (1994) (1)
Hamiltonian formalism with several variables and quantum field theory: Part 1 (2000) (1)
Harmonic diffeomrophisms with roational symmetry. (1991) (1)
dataIs the System of Scientific Publications on the Eve of a Revolution? And if so, Toward What? (2018) (1)
Harmonic maps, conservation laws and moving frames: Geometric and analytic setting (2002) (1)
Harmonic maps, conservation laws and moving frames: Notation (2002) (1)
u ★ coincides with THE canonical harmonic map having singularities ( a j ) (1994) (0)
Harmonic maps, conservation laws and moving frames: Compensations and exotic function spaces (2002) (0)
Some examples of `second order elliptic integrable systems associated to a 4-symmetric space' (2008) (0)
Harmonic maps as an integrable system (2001) (0)
Variational point of view and Noether’s theorem (2001) (0)
Introduction: Surfaces with prescribed mean curvature (2001) (0)
Harmonic maps, conservation laws and moving frames: Surfaces with mean curvature in L 2 (2002) (0)
Curved Space-Times by Crystallization of Liquid Fiber Bundles (2016) (0)
From minimal surfaces and CMC surfaces to harmonic maps (2001) (0)
Elementary twistor theory for harmonic maps (2001) (0)
Some basic estimates for u (1994) (0)
From cmc surfaces to Hamiltonian Stationary Lagrangian Surfaces (2002) (0)
Geometry, topology, quantum field theory & cosmology (2009) (0)
Harmonic maps, conservation laws and moving frames: References (2002) (0)
Constant mean curvature tori are of finite type (2001) (0)
Some additional properties of UE (1994) (0)
Construction of finite type solutions (2001) (0)
Some basic estimateds for UE (2017) (0)
An upper bound for the energy of u∈ away from the singularities (1994) (0)
Harmonic maps without symmetry (2002) (0)
Working with the Hopf differential (2001) (0)
Non-minimizing solutions of the Ginzburg-Landau equation (1994) (0)
A pr 2 00 0 Hamiltonian formalism with several variables and quantum field theory ∗ : Part I (2000) (0)
The configuration (aj) minimizes the renormalized energy W (1994) (0)
Non Linear Propagation in Reissner Beams: An Integrable System? (2017) (0)
The lower bound for the energy of S-valued maps on Perforated domains (1994) (0)
Isoperimetric inequalities and calibrations (2018) (0)
UEn Converges:U* is born! (1994) (0)
Towards locating the singularties: bad discs and good discs (1994) (0)
The Gauss-Codazzi condition (2001) (0)
A pr 2 00 1 On Konopelchenko ’ s representation formula for surfaces in 4 dimensions (2001) (0)

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Paris Diderot University

Frédéric Hélein's Academic­Influence.com Rankings

Why Is Frédéric Hélein Influential?

Frédéric Hélein's Published Works

Published Works

Other Resources About Frédéric Hélein

What Schools Are Affiliated With Frédéric Hélein?

Frédéric Hélein's AcademicInfluence.com Rankings