Michael A. Bennett

Geometry and Topology · 2000–2018

A researcher in the Science corpus: 11 papers; trusts 9 researchers and is trusted by 15 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 25 citations into it; #924 of 7,422 by trust here, #1,882 by citations
• Algebra and Number Theory — 17 citations into it; #312 of 2,864 by trust here, #639 by citations
• Mathematical Physics — 13 citations into it; #5,420 of 8,562 by trust here, #6,594 by citations
• Computational Theory and Mathematics — 9 citations into it; #2,563 of 12,182 by trust here, #7,501 by citations

Whom Michael A. Bennett trusts overall

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

1. Jordan S. Ellenberg
2. Henri Darmon
3. Nils Bruin
4. Yuri F. Bilu
5. Michael Stoll
6. Paul B. Garrett
7. Yann Bugeaud
8. C. Breuil
9. Chris M. Skinner
10. Mark L. Bauer

Who trusts Michael A. Bennett overall

1. Andrej Dujella
2. Samir Siksek
3. Clemens Fuchs
4. Yann Bugeaud
5. Yasutsugu Fujita
6. B. Totaro
7. Nuno Freitas
8. Alan Filipin
9. Maurice Mignotte
10. Nobuhiro Terai

Papers from Michael A. Bennett's perspective

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

1. Implementing 2-descent for Jacobians of hyperelliptic curves
2. Modular Elliptic Curves and Fermat′s Last Theorem(抜粋) (フェルマ-予想がついに解けた!?)
3. Ternary Diophantine Equations via Galois Representations and Modular Forms (Canadian Journal of Mathematics - Journal Canadien de Mathematiques)
4. On the number of solutions of the generalized Ramanujan-Nagell equation
5. On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises (Journal of The American Mathematical Society)
6. Chabauty methods using elliptic curves
7. Existence of Primitive Divisors of Lucas and Lehmer Numbers
8. Rigid local systems, Hilbert modular forms, and Fermat's last theorem
9. Applications of the Hypergeometric Method to the Generalized Ramanujan-Nagell Equation
10. Explicit estimates of some functions over primes

Their papers

• Ternary Diophantine equations of signature (p, p, 3) (2004) — 65 citations
• ON THE NUMBER OF SOLUTIONS OF SIMULTANEOUS PELL EQUATIONS (2006) — 139 citations
• Explicit bounds for primes in arithmetic progressions (2018) — 99 citations
• Generalized Fermat equations: A miscellany (2015) — 56 citations
• Finite chains inside thin subsets of ℝd (2014) — 64 citations
• THE DIOPHANTINE EQUATION A4 + 2δB2 = Cn (2010) — 48 citations
• Powers from Products of Consecutive Terms in Arithmetic Progression (2006) — 54 citations
• Ternary Diophantine Equations via Galois Representations and Modular Forms (2004) — 229 citations
• Applications of the Hypergeometric Method to the Generalized Ramanujan-Nagell Equation (2002) — 75 citations
• On Some Exponential Equations of S. S. Pillai (2001) — 61 citations
• On the representation of unity by binary cubic forms (2000) — 46 citations