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This book introduces the theory of modular forms, from which all rational elliptic curves arise, with an eye toward the Modularity Theorem. Discussion covers el
Elliptic Curves and Modular Forms in Algebraic Topology
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A small conference was held in September 1986 to discuss new applications of elliptic functions and modular forms in algebraic topology, which had led to the in
Geometric Modular Forms and Elliptic Curves
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1. An algebro-geometric tool box. 1.1. Sheaves. 1.2. Schemes. 1.3. Projective schemes. 1.4. Categories and functors. 1.5. Applications of the key-lemma. 1.6. Gr
Topological Modular Forms
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The theory of topological modular forms is an intricate blend of classical algebraic modular forms and stable homotopy groups of spheres. The construction of th
Elliptic Curves, Modular Forms, and Their L-functions
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Many problems in number theory have simple statements, but their solutions require a deep understanding of algebra, algebraic geometry, complex analysis, group