Michael Stoll

Geometry and Topology · 2001–2013

A researcher in the Science corpus: 10 papers; trusts 19 researchers and is trusted by 26 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 34 citations into it; #394 of 7,422 by trust here, #726 by citations
• Computational Theory and Mathematics — 19 citations into it; #709 of 12,182 by trust here, #3,117 by citations
• Algebra and Number Theory — 13 citations into it
• Mathematical Physics — 13 citations into it; #2,414 of 8,562 by trust here, #2,904 by citations
• Applied Mathematics — 6 citations into it

Whom Michael Stoll trusts overall

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

1. Qing Liu
2. C. Breuil
3. Manjul Bhargava
4. Bjorn Poonen
5. Edward F. Schaefer
6. David A. Cox
7. Brian Conrad
8. Sebastian Karl Michael Stamminger
9. Tom A. Fisher
10. Robert A. Wilson

Who trusts Michael Stoll overall

1. Samir Siksek
2. Yann Bugeaud
3. Manjul Bhargava
4. Bjorn Poonen
5. Maurice Mignotte
6. Jeremy A. Rouse
7. Eric Katz
8. Nuno Freitas
9. David Zureick-Brown
10. Michael A. Bennett

Papers from Michael Stoll's perspective

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

1. Independence of rational points on twists of a given curve (Compositio Mathematica)
2. Random maximal isotropic subspaces and Selmer groups
3. Algebraic Geometry and Arithmetic Curves
4. Implementing 2-descent for Jacobians of hyperelliptic curves
5. The invariants of a genus one curve
6. The Monster is a Hurwitz group
7. Torsors and Rational Points
8. Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves
9. How to do a p-descent on an elliptic curve
10. The average size of the 2-Selmer group of Jacobians of hyperelliptic curves having a rational Weierstrass point

Their papers

• Independence of rational points on twists of a given curve (2006) — 85 citations
• Implementing 2-descent for Jacobians of hyperelliptic curves (2001) — 172 citations
• Most odd degree hyperelliptic curves have only one rational point (2013) — 71 citations
• Uniform bounds for the number of rational points on hyperelliptic curves of small Mordell–Weil rank (2013) — 50 citations
• MINIMISATION AND REDUCTION OF 2-, 3- AND 4-COVERINGS OF ELLIPTIC CURVES (2009) — 68 citations
• Integral points on hyperelliptic curves (2008) — 64 citations
• Explicit n-descent on elliptic curves, I. Algebra (2006) — 85 citations
• Finite descent obstructions and rational points on curves (2006) — 126 citations
• Twists of X(7) and primitive solutions to x^2+y^3=z^7 (2005) — 107 citations
• How to do a p-descent on an elliptic curve (2003) — 110 citations