Matthias Aschenbrenner

Geometry and Topology · 2002–2015

A researcher in the Science corpus: 5 papers; trusts 14 researchers and is trusted by 9 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 120 citations into it; #2,541 of 7,422 by trust here, #2,963 by citations
• Mathematical Physics — 97 citations into it; #7,097 of 8,562 by trust here, #6,594 by citations
• Discrete Mathematics and Combinatorics — 34 citations into it
• Applied Mathematics — 25 citations into it
• Computational Theory and Mathematics — 21 citations into it; #4,380 of 12,182 by trust here, #6,798 by citations

Whom Matthias Aschenbrenner trusts overall

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

1. Yi Liu
2. Siddhartha Gadgil
3. Daniel T. Wise
4. Brian H. Bowditch
5. G. Perelman
6. Ian Agol
7. Peter S. Ozsv'ath
8. L. Bessières
9. Nicolas Bergeron
10. Danny Calegari

Who trusts Matthias Aschenbrenner overall

1. C. D'Andrea
2. Henry Wilton
3. Jan Draisma
4. Teresa Krick
5. Pavel A. Zalesskii
6. Jan-Hendrik Evertse
7. Martín Sombra
8. Hans Schoutens
9. Uwe Nagel

Papers from Matthias Aschenbrenner's perspective

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

1. The orientable cusped hyperbolic 3-manifolds of minimum volume
2. Three-Dimensional Orbifolds and Their Geometric Structures
3. Ricci Flow and the Poincaré Conjecture
4. Three-dimensional orbifolds and cone-manifolds
5. Virtual cubulation of nonpositively curved graph manifolds
6. The Farrell-Jones Conjecture for cocompact lattices in virtually connected Lie groups
7. The asymptotic growth of torsion homology for arithmetic groups (Journal of the Institute of Mathematics of Jussieu)
8. Shrinkwrapping and the taming of hyperbolic 3-manifolds : preprint
9. Geometrisation of 3-Manifolds
10. Planar groups and the Seifert conjecture

Their papers

• Finite generation of symmetric ideals (2004) — 101 citations
• Ideal membership in polynomial rings over the integers (2003) — 62 citations
• Asymptotic Differential Algebra and Model Theory of Transseries (2015) — 126 citations
• 3-Manifold Groups (2012) — 331 citations
• H-fields and their Liouville extensions (2002) — 46 citations