Obituary: Robert F. Coleman 1954--2014

DOI10.1186/s40687-015-0036-7zbMath1338.01025OpenAlexW1944286455WikidataQ59411671 ScholiaQ59411671MaRDI QIDQ290127

Barry Mazur, Kenneth Alan Ribet, Matthew H. Baker

Publication date: 1 June 2016

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s40687-015-0036-7

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70)

Cites Work

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• Ramified torsion points on curves
• Twists of \(X(7)\) and primitive solutions to \(x^2+y^3=z^7\)
• Dilogarithms, regulators and \(p\)-adic \(L\)-functions
• Hodge-Tate periods and p-adic abelian integrals
• Torsion points on curves and p-adic abelian integrals
• Effective Chabauty
• Galois representations into \(\text{GL}_2(\mathbb Z_pX)\) attached to ordinary cusp forms.
• \(p\)-adic regulators on curves and special values of \(p\)-adic \(L\)-functions
• Division values in local fields
• The arithmetic of Lubin-Tate division towers
• \(p\)-adic periods of abelian varieties
• \(p\)-adic Banach spaces and families of modular forms
• \(p\)-adic Hecke algebras for \(GL(2)\)
• Geometry of \(p\)-jets
• The Frobenius and monodromy operators for curves and abelian varieties
• Computing Torsion Points on Curves
• Integration of One-forms on P-adic Analytic Spaces. (AM-162)
• The dilogarithm and the norm residue symbol
• Théorie d’Iwasawa des représentations 𝑝-adiques d’un corps local
• The cuspidal torsion packet on the Fermat curve
• Classical and overconvergent modular forms

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