Jean-Pierre Serre

Geometry and Topology · 1977–2011

A researcher in the Science corpus: 10 papers; trusts 3 researchers and is trusted by 20 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 5 citations into it; #2,545 of 7,422 by trust here, #2,963 by citations
• Mathematical Physics — 5 citations into it; #2,611 of 8,562 by trust here, #1,776 by citations

Whom Jean-Pierre Serre trusts overall

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

1. Igor Dolgachev
2. Richard Taylor
3. L. Illusie
4. Kristin E. Lauter
5. J. Kollár
6. J. Arthur
7. Moshe Jarden

Who trusts Jean-Pierre Serre overall

1. Greg Kuperberg
2. V. Popov
3. Karin Gatermann
4. Maurice Weiler
5. Persi Diaconis
6. L. Illusie
7. Anita M. Rojas
8. O. Bratteli
9. Jason E. Fulman
10. Yuri Prokhorov

Papers from Jean-Pierre Serre's perspective

Ordered by how strongly the researchers Jean-Pierre Serre trusts endorse each paper. Same corpus, a different order for every researcher.

1. Miscellany on traces in ℓ-adic cohomology: a survey
2. Geometric Methods for Improving the Upper Bounds on the Number of Rational Points on Algebraic Curves over Finite Fields
3. Modular forms of weight one and Galois representations
4. Galois representations
5. Topics in classical algebraic geometry
6. On planar Cremona maps of prime order
7. Geometry of the Plane Cremona Maps
8. BIRATIONAL GEOMETRY OF ALGEBRAIC VARIETIES (Cambridge Tracts in Mathematics 134) By J áNOS K OLLáR and S HIGEFUMI M ORI : 254 pp., £30.00, ISBN 0 521 63277 3 (Cambridge University Press, 1998).
9. Cayley groups
10. On Cremona transformations of prime order

Their papers

• Geometric Methods for Improving the Upper Bounds on the Number of Rational Points on Algebraic Curves over Finite Fields (2001) — 76 citations
• On a theorem of Jordan (2003) — 157 citations
• How to use finite fields for problems concerning infinite fields (2009) — 55 citations
• Lectures on N[x](p) (2011) — 68 citations
• Bounds for the orders of the finite subgroups of G(k) (2010) — 80 citations
• A Minkowski-style bound for the order of the finite subgroups of the Cremona group of rank 2 over an arbitrary field (2009) — 97 citations
• Zeta and L functions (2003) — 51 citations
• Cohomological Invariants in Galois Cohomology (2003) — 359 citations
• The Maximum or Minimum Number of Rational Points on Genus Three Curves over Finite Fields (2002) — 54 citations
• Linear representations of finite groups (1977)