Online notes of interest to number theorists (and others)

Collections of notes

  • MathOnline
  • Springerlink (lots of Springer books and articles available online if your university has a subscription)
  • Cambridge books online (lots of CUP books online if your university has a subscription)
  • MathSciNet (often the easiest way to find electronic versions of maths books online if your university has a subscription; once you have found the review, click on the "book" link).
  • Free mathemamatics e-books network with a recognised subscription)
  • James Milne's website
  • Representation theory resources and references (Mikhail Khovanov)
  • Various lecture notes in algebra and number theory (Marco Streng)
  • Expository notes (Keith Conrad)
  • Lecture notes of courses (Ivan Fesenko)
  • Lecture notes (Manuel Breuning)
  • A collection of lecture notes (Franz Lemmermeyer)
  • Online number theory lecture notes and teaching materials (Number theory web)
  • Notes from Cambridge Part II and Part III courses (Gareth Taylor)
  • Notes from Cambridge Part III (Ricardo da Conceição Inglês)
  • Notes from courses, conferences, and seminars (Jim Brown)
  • Notes by others (Bill Hart)
  • Algebraic number theory

  • Lecture notes (James Milne)
  • Class field theory

  • A brief summary of the main statements of class field theory (Bjorn Poonen)
  • An overview of class field theory (Thomas R. Shemanske)
  • History of class field theory (Keith Conrad)
  • Computational class field theory (Henri Cohen)
  • Notes on class field theory (Teruyoshi Yoshida)
  • Lecture notes (James Milne)
  • Notes for Math 254B (Kiran Kedlaya)
  • The Kronecker-Weber theorem (Eknath Ghate)
  • Local class field theory (Jim Brown)
  • Global class field theory (hand-written) (Jim Brown)
  • Iwasawa Theory

  • Introduction to Iwasawa Theory (Jim Brown)
  • Topics in Iwasawa Theory (Ralph Greenberg)
  • Iwasawa theory - past and present (Ralph Greenberg)
  • Introduction to Iwasaw theory for elliptic curves (Ralph Greenberg)
  • Stark's conjectures

  • Stark's conjectures - senior thesis (Samit Dasgupta)
  • Integral and p-adic refinements of the abelian Stark conjecture (Cristian Popescu)

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    Last updated: 7th January 2011