Jonathan Pila

Geometry and Topology · 2004–2017

A researcher in the Science corpus: 11 papers; trusts 25 researchers and is trusted by 16 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 65 citations into it; #648 of 7,422 by trust here, #465 by citations
• Mathematical Physics — 31 citations into it; #2,037 of 8,562 by trust here, #1,610 by citations
• Algebra and Number Theory — 29 citations into it; #325 of 2,864 by trust here, #289 by citations
• Computational Theory and Mathematics — 26 citations into it; #2,055 of 12,182 by trust here, #2,351 by citations
• Discrete Mathematics and Combinatorics — 12 citations into it
• Theoretical Computer Science — 6 citations into it
• Statistical and Nonlinear Physics — 5 citations into it

Whom Jonathan Pila trusts overall

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

1. Alex Wilkie
2. Umberto Zannier
3. D. Masser
4. Jacob Tsimerman
5. D. R. Heath-Brown
6. E. Ullmo
7. A. Yafaev
8. Ya'acov Peterzil
9. Enrico Bombieri
10. Gerard van der Geer

Who trusts Jonathan Pila overall

1. Ziyang Gao
2. P. Habegger
3. Fabrizio Barroero
4. Jacob Tsimerman
5. D. Masser
6. E. Ullmo
7. Martin Widmer
8. Bruno Klingler
9. Umberto Zannier
10. Ya'acov Peterzil

Papers from Jonathan Pila's perspective

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

1. The rational points of a definable set
2. TAME TOPOLOGY AND O-MINIMAL STRUCTURES (London Mathematical Society Lecture Note Series 248) By L OU VAN DEN D RIES : 180 pp., £24.95 (US$39.95, LMS Members' price £18.70), ISBN 0 521 59838 9…
3. Rational points in periodic analytic sets and the Manin-Mumford conjecture
4. A Combination of the Conjectures of Mordell-Lang and André-Oort
5. Subvarieties of Shimura varieties
6. Some unlikely intersections beyond André–Oort (Compositio Mathematica)
7. The density of rational points on curves and surfaces
8. Quasianalytic Denjoy-Carleman classes and o-minimality
9. Diophantine Approximation on Linear Algebraic Groups
10. The theory of the exponential differential equations of semiabelian varieties

Their papers

• Rational points in periodic analytic sets and the Manin-Mumford conjecture (2008) — 174 citations
• Integer points on the dilation of a subanalytic surface (2004) — 64 citations
• Some unlikely intersections beyond André–Oort (2011) — 73 citations
• On the algebraic points of a definable set (2009) — 68 citations
• O-minimality and certain atypical intersections (2014) — 101 citations
• Ax-Schanuel for Shimura varieties (2017) — 54 citations
• Ax-Lindemann for $\mathcal{A}_g$ (2014) — 47 citations
• Ax–Schanuel for the $j$-function (2014) — 72 citations
• The André–Oort conjecture for the moduli space of abelian surfaces (2011) — 69 citations
• O-minimality and the André-Oort conjecture for $\mathbb{C}^{n}$ (2011) — 140 citations
• The rational points of a definable set (2006) — 246 citations