Barry Mazur
Geometry and Topology · 2000–2015
A researcher in the Science corpus: 9 papers; trusts 12 researchers and is trusted by 8 researchers here, as inferred from the citation graph.
Subfields
- Geometry and Topology — 27 citations into it; #2,938 of 7,422 by trust here, #2,107 by citations
- Mathematical Physics — 26 citations into it; #4,315 of 8,562 by trust here, #4,022 by citations
- Algebra and Number Theory — 19 citations into it; #863 of 2,864 by trust here, #489 by citations
- Discrete Mathematics and Combinatorics — 9 citations into it
Whom Barry Mazur trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
- M. Kisin
- Henry H. Kim
- Karl Rubin
- Ravi Ramakrishna
- Chandrashekhar B. Khare
- J. Korevaar
- V. Vatsal
- C. Cornut
- Benjamin Howard
- Michael Harris
Who trusts Barry Mazur overall
- Tim Dokchitser
- A. Raghuram
- Vladimir Dokchitser
- Bjorn Poonen
- Nicolas Bergeron
- Frank Calegari
- Akshay Venkatesh
- Emmanuel Kowalski
- David Burns
- Manjul Bhargava
Papers from Barry Mazur's perspective
Ordered by how strongly the researchers Barry Mazur trusts endorse each paper. Same corpus, a different order for every researcher.
- Mazur’s conjecture on higher Heegner points
- Uniform distribution of Heegner points
- The Heegner point Kolyvagin system (Compositio Mathematica)
- The effect of twisting on the 2-Selmer group (Mathematical Proceedings of the Cambridge Philosophical Society)
- DUALITY THEOREMS IN GALOIS COHOMOLOGY OVER NUMBER FIELDS
- Twisting Commutative Algebraic Groups
- Finding Large Selmer Rank via an Arithmetic Theory of Local Constants
- On icosahedral Artin representations
- Deforming Galois representations and the conjectures of Serre and Fontaine-Mazur
- Serre's modularity conjecture: The level one case
Their papers
- Diophantine stability (2015) — 53 citations
- Ranks of twists of elliptic curves and Hilbert’s tenth problem (2009) — 163 citations
- Finding meaning in error terms (2008) — 66 citations
- Proof and other Dilemmas: When is One Thing Equal to Some Other Thing? (2008) — 47 citations
- Nearly ordinary Galois deformations over arbitrary number fields (2007) — 63 citations
- Average Ranks of Elliptic Curves: Tension between Data and Conjecture (2007) — 47 citations
- Finding Large Selmer Rank via an Arithmetic Theory of Local Constants (2005) — 92 citations
- Relative modular symbols and Rankin-Selberg convolutions (2000) — 60 citations
- Mathematics: Frontiers and Perspectives (2000) — 190 citations