STRUCTURE AND RANDOMNESS IN THE PRIME NUMBERS TERENCE TAO Abstract. A quick tour through some topics in analytic prime number theory.

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425 Documenta Math. Volumes of Symmetric Spaces via Lattice Points Henri Gillet and Daniel R. Grayson

Source URL: documenta.sagemath.org

• Mathematics
• Abstract algebra
• Algebra
• Analytic number theory
• Bernhard Riemann
• Riemann zeta function
• Lattice

ON A PROPERNESS OF THE HILBERT EIGENVARIETY AT INTEGRAL WEIGHTS: THE CASE OF QUADRATIC RESIDUE FIELDS SHIN HATTORI Abstract. Let p be a rational prime. Let F be a totally real number field such that F is unramified over

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• Algebra
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• Modular forms
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• Eigenform
• P-adic modular form
• Elliptic curve
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Small Complete Caps From Elliptic Curves Nurdag¨ ul Anbar (joint work with Massimo Giulietti) Sabancı University

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• Geometry
• Abstract algebra
• Group theory
• Algebra
• Analytic number theory
• Projective geometry
• Finite fields
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Efficient arithmetic on elliptic curves in characteristic 2 David Kohel Institut de Math´ematiques de Luminy Universit´e d’Aix-Marseille 163, avenue de Luminy, Case 907

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• Abstract algebra
• Algebra
• Geometry
• Elliptic curves
• Algebraic varieties
• Elliptic curve cryptography
• Analytic number theory
• Elliptic curve
• Group theory
• Projective variety
• Weil pairing
• Divisor

Explicit Algorithms for Humbert Surfaces David Gruenewald A thesis submitted in partial fulfilment of the requirements for the degree of Doctor of Philosophy in Pure Mathematics at the University of Sydney, December 2008

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• Algebra
• Abstract algebra
• Geometry
• Abelian varieties
• Algebraic surfaces
• Analytic number theory
• Algebraic curves
• Group theory
• Humbert surface
• Modular form
• Elliptic curve
• Shimura variety

TOPICS IN ABSOLUTE ANABELIAN GEOMETRY II: DECOMPOSITION GROUPS AND ENDOMORPHISMS Shinichi Mochizuki October 2013 Abstract. The present paper, which forms the second part of a three-part series

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• Algebra
• Mathematics
• Abstract algebra
• Algebraic geometry
• Scheme theory
• Analytic number theory
• Anabelian geometry
• tale fundamental group
• Log structure
• Shinichi Mochizuki
• Exponentiation
• Elliptic curve

ON A PROPERNESS OF THE HILBERT EIGENVARIETY AT INTEGRAL WEIGHTS: THE CASE OF QUADRATIC RESIDUE FIELDS SHIN HATTORI Abstract. Let p be a rational prime. Let F be a totally real number field such that F is unramified over

Source URL: www2.math.kyushu-u.ac.jp

• Algebra
• Mathematics
• Abstract algebra
• Operator theory
• Field theory
• Analytic number theory
• Modular forms
• Algebraic geometry
• Eigenform
• Elliptic curve
• Valuation
• Algebraic number field

Isogenies, Polarisations and Real Multiplication — Journées C2 — La Londe-Les-Maures Gaëtan Bisson, Romain Cosset, Alina Dudeanu, Sorina Ionica, Dimitar Jetchev, David Lubicz, Chloe Martindale, Enea Mili

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• Abstract algebra
• Algebra
• Algebraic curves
• Analytic number theory
• Elliptic curves
• Group theory
• Algebraic surfaces
• Isogeny
• Abelian variety
• Supersingular elliptic curve
• Localization of a category
• Supersingular isogeny key exchange

TRACES OF CLASS INVARIANTS DAEYEOL JEON, SOON-YI KANG*, CHANG HEON KIM Abstract. Zagier showed that the traces of singular values of the modular j-invariant are Fourier coefficients of a weakly holomorphic modular form o

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• Algebra
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• Mathematical analysis
• Modular forms
• Algebraic number theory
• Elliptic functions
• Analytic number theory
• Quadratic forms
• Weakly holomorphic modular form
• Eisenstein series
• J-invariant
• Complex multiplication