William A. Stein

Algebra and Number Theory · 2000–2008

A researcher in the Science corpus: 6 papers; trusts 4 researchers and is trusted by 2 researchers here, as inferred from the citation graph.

Subfields

• Algebra and Number Theory — 14 citations into it
• Mathematical Physics — 13 citations into it; #7,166 of 8,562 by trust here, #7,431 by citations
• Geometry and Topology — 12 citations into it; #6,045 of 7,422 by trust here, #3,762 by citations
• Discrete Mathematics and Combinatorics — 7 citations into it
• Computational Theory and Mathematics — 5 citations into it

Whom William A. Stein trusts overall

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

1. C. Breuil
2. David A. Cox
3. Victor Shoup
4. András Sárközy

Who trusts William A. Stein overall

1. Brian Conrad
2. Matthew Baker
3. J. Bellaïche

Papers from William A. Stein's perspective

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

1. On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises (Journal of The American Mathematical Society)
2. Visibility of Shafarevich–Tate Groups of Abelian Varieties
3. Cosmological parameters from SDSS and WMAP
4. Low-lying zeros of families of elliptic curves
5. On the behaviour of root numbers in families of elliptic curves
6. On the Distribution of Galois Groups
7. A classical introduction to modern number theory
8. Ranks of elliptic curves
9. Chabauty methods and covering techniques applied to generalized Fermat equations
10. Explicit 8-descent on elliptic curves

Their papers

• Elementary Number Theory (2008) — 61 citations
• Average Ranks of Elliptic Curves: Tension between Data and Conjecture (2007) — 47 citations
• The Manin Constant (2006) — 65 citations
• $J_1(p)$ has connected fibers (2003) — 80 citations
• Visibility of Shafarevich–Tate Groups of Abelian Varieties (2002) — 53 citations
• Explicit approaches to modular abelian varieties (2000) — 57 citations