T. Rivière

Applied Mathematics · 2000–2015

A researcher in the Science corpus: 15 papers; trusts 25 researchers and is trusted by 35 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 55 citations into it; #360 of 7,620 by trust here, #575 by citations
• Geometry and Topology — 27 citations into it; #6,886 of 7,422 by trust here, #4,709 by citations
• Computational Theory and Mathematics — 22 citations into it; #10,375 of 12,182 by trust here, #9,306 by citations
• Mathematical Physics — 9 citations into it; #747 of 8,562 by trust here, #1,610 by citations

Whom T. Rivière trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Ernst Kuwert
2. R. Schatzle
3. Gieri Simonett
4. Changyou Wang
5. Frédéric Hélein
6. Tadeusz Iwaniec
7. S. Montiel
8. Gaven J. Martin
9. Loukas Grafakos
10. L. Tartar

Who trusts T. Rivière overall

1. Armin Schikorra
2. Michael Struwe
3. Katarzyna Mazowiecka
4. Yann Bernard
5. Francesca Da Lio
6. M. Giaquinta
7. T. Lamm
8. B. Sharp
9. Frank Müller
10. L. Martinazzi

Papers from T. Rivière's perspective

Ordered by how strongly the researchers T. Rivière trusts endorse each paper. Same corpus, a different order for every researcher.

1. The Willmore flow near spheres (Differential and Integral Equations)
2. Harmonic maps from degenerating Riemann surfaces
3. Gradient flow for the Willmore functional
4. Partial Regularity for Harmonic Maps and Related Problems
5. On biharmonic maps and their generalizations
6. Removability of point singularities of Willmore surfaces
7. Existence of minimizing Willmore surfaces of prescribed genus
8. On a fractional Nirenberg problem, part I: blow up analysis and compactness of solutions
9. Conservation laws for conformally invariant variational problems
10. Harmonic Maps, Conservation Laws, And Moving Frames

Their papers

• Variational Principles for immersed Surfaces with $L^2$-bounded Second Fundamental Form (2010) — 107 citations
• Blow-up analysis of a nonlocal Liouville-type equation (2015) — 66 citations
• Lipschitz conformal immersions from degenerating Riemann surfaces with L2-bounded second fundamental forms (2013) — 47 citations
• Willmore spheres in compact Riemannian manifolds (2012) — 51 citations
• Energy quantization for Willmore surfaces and applications (2011) — 83 citations
• Three-term commutator estimates and the regularity of $\half$-harmonic maps into spheres (2011) — 119 citations
• Sub-criticality of non-local Schrödinger systems with antisymmetric potentials and applications to half-harmonic maps (2010) — 109 citations
• Analysis aspects of Willmore surfaces (2008) — 215 citations
• Partial regularity for harmonic maps and related problems (2006) — 88 citations
• Conservation laws for conformally invariant variational problems (2006) — 276 citations
• Conservation Laws for Fourth Order Systems in Four Dimensions (2006) — 99 citations
• Weak density of smooth maps for the Dirichlet energy between manifolds (2003) — 74 citations
• A partial regularity result for a class of Stationary Yang-Mills Fields in high dimension (2003) — 69 citations
• Connecting topological Hopf singularities (2003) — 59 citations
• Linear and Nonlinear Aspects of Vortices (2000) — 145 citations