J.-L. Colliot-Th'elene

Geometry and Topology · 2002–2021

A researcher in the Science corpus: 8 papers; trusts 6 researchers and is trusted by 11 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 26 citations into it; #1,785 of 7,422 by trust here, #2,384 by citations
• Mathematical Physics — 17 citations into it; #5,817 of 8,562 by trust here, #4,247 by citations
• Algebra and Number Theory — 11 citations into it; #737 of 2,864 by trust here, #1,070 by citations
• Applied Mathematics — 5 citations into it
• Computational Theory and Mathematics — 5 citations into it

Whom J.-L. Colliot-Th'elene trusts overall

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

1. Alexei N. Skorobogatov
2. R. Parimala
3. Brendan Hassett
4. A. Pukhlikov
5. D. Harbater
6. V. Suresh
7. Claire Voisin
8. Fei Xu
9. Tommaso de Fernex

Who trusts J.-L. Colliot-Th'elene overall

1. Jonathan Pila
2. M. Borovoi
3. Tim D Browning
4. Harald Andrés Helfgott
5. C. Demarche
6. A. Asok
7. D. Harbater
8. Akshay Venkatesh
9. Alex Wilkie
10. Heath-Brown

Papers from J.-L. Colliot-Th'elene's perspective

Ordered by how strongly the researchers J.-L. Colliot-Th'elene trusts endorse each paper. Same corpus, a different order for every researcher.

1. Patching over fields
2. The u-invariant of the function fields of p-adic curves
3. Applications of patching to quadratic forms and central simple algebras
4. Special Cubic Fourfolds (Compositio Mathematica)
5. Birationally rigid Fano hypersurfaces
6. Torsors and Rational Points
7. On representations of spinor genera (Compositio Mathematica)
8. Rationality of P-Group Actions
9. Bounds for log canonical thresholds with applications to birational rigidity
10. Multiplicative Invariant Theory

Their papers

• The Brauer–Grothendieck Group (2021) — 61 citations
• Universal Unramified Cohomology of Cubic Fourfolds Containing a Plane (2013) — 58 citations
• Quadratic forms, linear algebraic groups, and cohomology (2010) — 66 citations
• Patching and local-global principles for homogeneous spaces over function fields of p-adic curves (2008) — 94 citations
• Brauer–Manin obstruction for integral points of homogeneous spaces and representation by integral quadratic forms (2007) — 117 citations
• The rationality problem for fields of invariants under linear algebraic groups (with special regards to the Brauer group) (2005) — 130 citations
• The density of rational points on curves and surfaces (2002) — 262 citations
• Quadratic forms over fraction fields of two-dimensional Henselian rings and Brauer groups of related schemes (2002) — 58 citations