{"id":1682,"date":"2023-10-05T13:40:59","date_gmt":"2023-10-05T13:40:59","guid":{"rendered":"http:\/\/hedayatzadeh.info\/aag\/?page_id=1682"},"modified":"2025-09-29T11:13:31","modified_gmt":"2025-09-29T11:13:31","slug":"agnt-essentials","status":"publish","type":"page","link":"https:\/\/www.hedayatzadeh.info\/aag\/courses\/program\/agnt-essentials\/","title":{"rendered":"AGNT Essentials | Winter-Spring 2025"},"content":{"rendered":"\n

Welcome to the AGNT Essentials<\/strong> reading course, which is part of the Decoding Dimensions<\/a> program on Algebraic Geometry and Number Theory. In this course, we will cover what is needed from Commutative Algebra, Fields and Galois Theory, Category Theory etc., necessary for Algebraic Geometry and Number Theory.<\/p>\n\n\n\n

The class is scheduled for Wednesday<\/strong>, from 3:30 pm<\/strong> to 5:00 pm<\/strong> (Tehran time).<\/p>\n\n\n\n

I will be sharing the weekly reading material and exercises on the News<\/a> page. All class-related communication and updates will also be posted there. So, please stay connected…<\/p>\n\n\n\n

The main reference of the course is The CRing Project<\/a><\/strong>.<\/p>\n\n\n\n

\n\n\n\n
<\/div>\n\n\n\n

Additionally, here is a list of other resources. We may occasionally refer to these books and use them for homework assignments:<\/p>\n\n\n\n

For Category Theory:<\/p>\n\n\n\n

    \n
  1. T. Leinster<\/em>, Basic Category Theory<\/a><\/strong> – favorite!<\/li>\n\n\n\n
  2. A. Agore<\/em>, A First Course in Category Theory<\/strong><\/a><\/li>\n\n\n\n
  3. H. Simmons, An Introduction to Category Theory<\/a><\/strong><\/li>\n\n\n\n
  4. E. Riehl<\/em>, Category Theory in Cotext<\/strong><\/a> – favorite!<\/li>\n\n\n\n
  5. S. MacLane<\/em>, Categories for the Working Mathematician<\/a><\/strong> – classic!<\/li>\n\n\n\n
  6. Stacks Project<\/em>, {0011} Categories<\/strong><\/a><\/li>\n<\/ol>\n\n\n\n

    For Algebra and Commutative Algebra:<\/p>\n\n\n\n

      \n
    1. A. Knapp,<\/em> Basic Algebra<\/a><\/strong><\/li>\n\n\n\n
    2. M. F. Atiyah, I. G. Macdonald<\/em>, Introduction to Commutative Algebra<\/a><\/strong><\/li>\n\n\n\n
    3. S. Bosch<\/em>, Algebraic Geometry and Commutative Algebra<\/a><\/strong><\/li>\n\n\n\n
    4. D. Eisenbud<\/em>, Commutative Algebra, with a view Toward Algebraic Geometry<\/a><\/strong><\/li>\n\n\n\n
    5. E. Kunz<\/em>, Introduction to Commutative Algebra and Algebraic Geometry<\/a><\/strong><\/li>\n\n\n\n
    6. H. Matsumura<\/em>, Commutative <\/a>Ring Theory<\/a><\/strong><\/li>\n\n\n\n
    7. M. Reid,<\/em> Undergraduate Commutative Algebra<\/a><\/strong><\/li>\n\n\n\n
    8. R. Y. Sharp,<\/em> Steps in Commutative Algebra<\/a><\/strong><\/li>\n\n\n\n
    9. Stacks Project<\/em>, {00AO} Commutative Algebra<\/strong><\/a><\/li>\n<\/ol>\n\n\n\n
      <\/div>\n\n\n\n
      \n\n\n\n
      <\/div>\n\n\n\n

      In the academic year 2023-2024 we studied J. Milne<\/em><\/a>‘s lecture notes [CA]<\/strong> A Primer on Commutative Algebra<\/a><\/strong>.<\/p>\n\n\n\n

      <\/div>\n\n\n\n
      <\/div>\n\n\n\n

      <\/p>\n\n