{"id":840,"date":"2018-04-28T02:25:38","date_gmt":"2018-04-28T02:25:38","guid":{"rendered":"http:\/\/hedayatzadeh.info\/aag\/?page_id=840"},"modified":"2025-02-14T20:29:13","modified_gmt":"2025-02-14T20:29:13","slug":"what-to-read","status":"publish","type":"page","link":"https:\/\/www.hedayatzadeh.info\/aag\/what-to-read\/","title":{"rendered":"What to Read"},"content":{"rendered":"

Here I list some books on number theory, algebraic geometry, arithmetic geometry etc. I will try to include only the books that I have read (entirely, or partially) myself.<\/p>\n

\n

<\/h3>\n

Number Theory:<\/h3>\n
    \n
  1. J. W. S. Cassels, A. Fr\u00f6hlich, Algebraic Number Theory<\/strong><\/em>.<\/li>\n
  2. G. J. Janusz, Algebraic Number Fields<\/strong><\/em>.<\/li>\n
  3. S. Lang, Algebraic Number Theory<\/strong><\/em>.<\/li>\n
  4. D. A. Marcus, Number Fields<\/strong><\/em>.<\/li>\n
  5. J. Neukirch, Algebraic Number Theory<\/strong><\/em>.<\/li>\n
  6. P. Samuel, Algebraic Theory of Numbers<\/strong><\/em>.<\/li>\n
  7. J. Neukirch, A. Schmidt, Class Field Theory – Bonn Lectures<\/strong><\/em>.<\/li>\n
  8. K. Kato, N. Kurokawa, T. Saito. <\/span>Number Theory 1: Fermat\u2019s Dream<\/strong><\/i><\/span>.<\/span><\/li>\n
  9. K. Kato, N. Kurokawa, T. Saito. <\/span>Number Theory 2:<\/strong> Introduction to Class Field Theory<\/strong><\/i><\/span>.<\/span><\/li>\n
  10. N. Kurokawa, M. Kurihara, T. Saito. <\/span>Number Theory 3:<\/strong> Iwasawa Theory and Modular Forms<\/strong><\/i><\/span>.<\/span><\/li>\n<\/ol>\n

    Algebraic Geometry:<\/h3>\n
      \n
    1. R. Hartshorne, Algebraic Geometry<\/strong><\/em>.<\/li>\n
    2. Q. Liu, Algebraic Geometry and Arithmetic Curves<\/strong><\/em>.<\/li>\n
    3. U. G\u00f6rtz and T. Wedhorn, Algebraic Geometry I, Schemes<\/strong><\/em>.<\/li>\n
    4. K. Ueno,\u00a0Algebraic Geometry 1: From Algebraic Varieties to Schemes<\/strong><\/em>.<\/li>\n
    5. K. Ueno, Algebraic Geometry 2: Sheaves and Cohomology<\/strong><\/em>.<\/li>\n
    6. K. Ueno,\u00a0Algebraic Geometry 3: Further Study of Schemes<\/strong><\/em>.<\/li>\n
    7. W. Waterhouse, Introduction<\/strong> to\u00a0Affine Group Schemes<\/strong><\/em>.<\/li>\n<\/ol>\n

      Elliptic Curves, Abelian Varieties & Co.:<\/h3>\n
        \n
      1. J. Silverman, The Arithmetic of Elliptic Curves<\/strong><\/em>.<\/li>\n
      2. J. Silverman, Advanced Topics in the Arithmetic of Elliptic Curves<\/strong><\/em>.<\/li>\n
      3. J. Silverman, J. Tate, Rational Points of Elliptic Curves<\/strong><\/em>.<\/li>\n
      4. B. Edixhoven, G. van der Geer, B. Moonen, Abelian Varieties<\/strong><\/em>.<\/li>\n
      5. D. Mumford,\u00a0Abelian Varieties<\/strong>.<\/em><\/li>\n
      6. J. Milne,\u00a0Abelian Varieties<\/strong>.<\/em><\/li>\n
      7. F. Diamond, J. Shurman, A First Course in Modular Forms<\/strong><\/em>.<\/li>\n
      8. J. Milne, Introduction to Shimura Varieties<\/strong><\/em>.<\/li>\n<\/ol>\n

        Specialized and Advanced Topics:<\/h3>\n
          \n
        1. L. C. Washington, Introduction to Cyclotomic Fields.<\/strong><\/em><\/li>\n
        2. S. Lang,\u00a0Cyclotomic Fields I and II.<\/strong><\/em><\/li>\n
        3. G. Tamme, Introduction to \u00c9tale Cohomology<\/strong><\/em>.<\/li>\n
        4. E. Freitag, R. Kiehl,\u00a0\u00c9tale Cohomology And The Weil Conjecture<\/strong><\/em>.<\/li>\n
        5. J. Milne, \u00c9tale Cohomology<\/strong><\/em>.<\/li>\n
        6. S. Kudla, E. Kowalski, E. De Shalit, D. Gaitsgory, J. Cogdell, D. Bump, An Introduction to The Langlands Program<\/strong><\/em>.<\/li>\n
        7. C. J. Bushnell, G. Henniart, The Local Langlands Conjecture For GL(2)<\/strong><\/em>.<\/li>\n
        8. G. Cornell, J. H. Silverman, Arithmetic Geometry<\/strong><\/em>.<\/li>\n
        9. \u00a0B. Conrad,\u00a0K. Rubin, Arithmetic Algebraic Geometry<\/strong><\/em>.<\/li>\n
        10. G. Cornell, J. H. Silverman, G. Stevens, Modular Forms and Fermat\u2019s Last Theorem<\/strong><\/em>.<\/li>\n
        11. T. Saito. Fermat\u2019s Last Theorem: Basic Tools<\/strong><\/em>.<\/li>\n
        12. T. Saito. Fermat\u2019s Last Theorem: The Proof<\/strong>.<\/em><\/li>\n
        13. C.-L. Chai, G. Faltings, Degeneration of Abelian Varieties<\/strong><\/em>.<\/li>\n
        14. S. Bosch, W. L\u00fctkebohmert, M. Raynaud, N\u00e9ron Models<\/strong><\/em>.<\/li>\n
        15. J. Fresnel, M. van der Put, Rigid Analytic Geometry and its Applications<\/strong><\/em>.<\/li>\n
        16. S. Bosch, Lectures on Formal and Rigid Geometry<\/strong><\/em>.<\/li>\n
        17. A. Borel, W. Casselman, Automorphic Forms, Representations, and L-Functions I & II<\/strong><\/em>.<\/li>\n
        18. M. Harris, R. Taylor, The Geometry and Cohomology of Some Simple Shimura Varieties<\/strong><\/em>.<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"

          Here I list some books on number theory, algebraic geometry, arithmetic geometry etc. I will try to include only the books that I have read (entirely, or partially) myself. Number Theory: J. W. S. Cassels, A. Fr\u00f6hlich, Algebraic Number Theory. G. J. Janusz, Algebraic Number Fields. S. Lang, Algebraic Number Theory. D. A. Marcus, Number […]<\/p>\n","protected":false},"author":1,"featured_media":2261,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-840","page","type-page","status-publish","has-post-thumbnail","hentry"],"_links":{"self":[{"href":"https:\/\/www.hedayatzadeh.info\/aag\/wp-json\/wp\/v2\/pages\/840","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.hedayatzadeh.info\/aag\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.hedayatzadeh.info\/aag\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.hedayatzadeh.info\/aag\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.hedayatzadeh.info\/aag\/wp-json\/wp\/v2\/comments?post=840"}],"version-history":[{"count":27,"href":"https:\/\/www.hedayatzadeh.info\/aag\/wp-json\/wp\/v2\/pages\/840\/revisions"}],"predecessor-version":[{"id":1399,"href":"https:\/\/www.hedayatzadeh.info\/aag\/wp-json\/wp\/v2\/pages\/840\/revisions\/1399"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.hedayatzadeh.info\/aag\/wp-json\/wp\/v2\/media\/2261"}],"wp:attachment":[{"href":"https:\/\/www.hedayatzadeh.info\/aag\/wp-json\/wp\/v2\/media?parent=840"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}