Samir Siksek

Geometry and Topology · 2004–2013

A researcher in the Science corpus: 10 papers; trusts 19 researchers and is trusted by 13 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 57 citations into it; #1,542 of 7,422 by trust here, #1,618 by citations
• Algebra and Number Theory — 29 citations into it; #1,520 of 2,864 by trust here, #1,014 by citations
• Mathematical Physics — 25 citations into it; #7,523 of 8,562 by trust here, #4,500 by citations
• Computational Theory and Mathematics — 24 citations into it; #7,072 of 12,182 by trust here, #8,756 by citations
• Information Systems — 10 citations into it; #4,064 of 8,771 by trust here, #8,258 by citations
• Applied Mathematics — 9 citations into it
• Discrete Mathematics and Combinatorics — 9 citations into it

Whom Samir Siksek trusts overall

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

1. Michael Stoll
2. Nils Bruin
3. Michael A. Bennett
4. Yann Bugeaud
5. Dino J. Lorenzini
6. Maurice Mignotte
7. T. Tucker
8. Chris M. Skinner
9. Ali Rajaei
10. V. Vatsal

Who trusts Samir Siksek overall

1. Nuno Freitas
2. Jennifer S. Balakrishnan
3. Yann Bugeaud
4. Netan Dogra
5. Bao V. Le Hung
6. Maurice Mignotte
7. Gove Effinger
8. Bo He

Papers from Samir Siksek's perspective

Ordered by how strongly the researchers Samir Siksek 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. Bounding the number of rational points on certain curves of high rank
4. Ternary Diophantine Equations via Galois Representations and Modular Forms (Canadian Journal of Mathematics - Journal Canadien de Mathematiques)
5. Independence of rational points on twists of a given curve (Compositio Mathematica)
6. On the number of solutions of the generalized Ramanujan-Nagell equation
7. An effective lower bound for the height of algebraic numbers
8. Finite descent obstructions and rational points on curves
9. The invariants of a genus one curve
10. Classical and modular approaches to exponential Diophantine equations II. The Lebesgue–Nagell equation (Compositio Mathematica)

Their papers

• The Modular Approach to Diophantine Equations (2007) — 48 citations
• Chabauty for symmetric powers of curves (2009) — 52 citations
• The asymptotic Fermat’s Last Theorem for five-sixths of real quadratic fields (2013) — 80 citations
• Elliptic curves over real quadratic fields are modular (2013) — 132 citations
• Explicit Chabauty over number fields (2010) — 47 citations
• Integral points on hyperelliptic curves (2008) — 64 citations
• Fibonacci numbers at most one away from a perfect power (2008) — 63 citations
• Height difference bounds for elliptic curves over number fields (2006) — 57 citations
• Classical and modular approaches to exponential Diophantine equations II. The Lebesgue–Nagell equation (2004) — 181 citations
• Classical and modular approaches to exponential Diophantine equations I. Fibonacci and Lucas perfect powers (2004) — 489 citations