What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Topology
- Geometry
The scientist’s investigation covers issues in Mathematical analysis, Harmonic map, Pure mathematics, Mathematical physics and SPHERES.
His study in Domain wall extends to Mathematical analysis with its themes.
His Harmonic map research includes themes of Elliptic systems, Schrödinger's cat, Bounded function and Gauge theory.
His Pure mathematics research incorporates elements of Second fundamental form and Mean curvature.
Tristan Rivière has included themes like Conformal map, Elliptic curve, Codimension and Compact space in his Second fundamental form study.
His Mathematical physics research includes elements of Tourbillon, Calculus of variations, Limit and Degree.
His most cited work include:
- Conservation laws for conformally invariant variational problems (224 citations)
- Analysis aspects of Willmore surfaces (174 citations)
- Everywhere discontinuous harmonic maps into spheres (133 citations)
What are the main themes of his work throughout his whole career to date?
His primary scientific interests are in Mathematical analysis, Pure mathematics, Conformal map, Minimal surface and Second fundamental form.
His work in the fields of Harmonic map, Compact space and Bounded function overlaps with other areas such as Willmore energy.
His Bounded function research incorporates themes from Invariant and Mathematical physics.
In his study, which falls under the umbrella issue of Pure mathematics, Elliptic systems is strongly linked to Class.
His Conformal map research is multidisciplinary, relying on both Immersion, Euclidean space and Riemann surface.
His Second fundamental form study incorporates themes from Surface and Lipschitz continuity.
He most often published in these fields:
- Mathematical analysis (52.73%)
- Pure mathematics (33.94%)
- Conformal map (18.18%)
What were the highlights of his more recent work (between 2017-2021)?
- Pure mathematics (33.94%)
- Mathematical analysis (52.73%)
- Minimal surface (13.94%)
In recent papers he was focusing on the following fields of study:
His scientific interests lie mostly in Pure mathematics, Mathematical analysis, Minimal surface, Elliptic systems and Codimension.
His studies deal with areas such as Space and Tree as well as Pure mathematics.
The concepts of his Mathematical analysis study are interwoven with issues in Second fundamental form and Resolution.
His Minimal surface research is multidisciplinary, incorporating elements of Geodesic, Existential quantification and Semi-continuity.
His study in Elliptic systems is interdisciplinary in nature, drawing from both Class, Divergence and Involution.
His work deals with themes such as Combinatorics, Conjecture, Riemannian manifold, Multiplicity and Bounded function, which intersect with Codimension.
Between 2017 and 2021, his most popular works were:
- Optimal estimate for the gradient of Green's function on degenerating surfaces and applications (12 citations)
- Energy quantization of Willmore surfaces at the boundary of the moduli space (10 citations)
- A proof of the multiplicity one conjecture for min-max minimal surfaces in arbitrary codimension (9 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Topology
- Geometry
His main research concerns Mathematical analysis, Conformal map, Compact space, Second fundamental form and Minimal surface.
His work often combines Mathematical analysis and Entropy studies.
The various areas that Tristan Rivière examines in his Conformal map study include Euclidean space and Riemann surface.
His research integrates issues of Differential geometry and Cover in his study of Compact space.
Tristan Rivière has researched Second fundamental form in several fields, including Green's function, Surface and Critical regime.
He works mostly in the field of Minimal surface, limiting it down to topics relating to Codimension and, in certain cases, Bounded function, as a part of the same area of interest.
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