Reading list
This is an incomplete list of things I have either read and wish to remember or intend to read in the future. It is intended primarily for my own use, although I suppose others could also benefit from parts of it.
Iwasawa theory
- 2017 Arizona Winter School on Iwasawa theory (with videos)
- What can be said about the minus part of the p-ramified Iwasawa module? Motivation for Greenberg’s conjecture.
- Roadmap to Iwasawa Theory
- Greenberg’s Iwasawa theory monograph in preparation
- Greenberg: Intro to Iwasawa Theory of Elliptic Curves, in: Conrad, Rubin (eds.): Arithmetic algebraic geometry
- Kato’s ‘joyful’ lecture notes
- Holmstrom’s Iwasawa theory resources
- Bullach: A very personal introduction to the equivariant Tamagawa number conjecture
- Burns: a one-lecture-introduction to Iwasawa theory
- Trevor Arnold: What is Iwasawa Theory?
- Loeffler on Perrin-Riou's big logarithm
- MathOverflow [iwasawa-theory] tag
Furthermore
- Articles published in the What is… column
- : Congruences between modular forms (AWS 2013)
- 's lecture notes
- 's assorted posts
- 's writings
- 's unpublished notes
- : An introduction to Bloch and Kato’s conjecture
- Notes from the Heidelberg Spring School: Bergdall, Hübner, Johansson
On academia and being a student in maths
- 's advice for potential Ph.D. students, especially his Three Things Exercise
- on letters of recommendation, also check out the links at the bottom of his page
- 's Ratschläge und Weisheiten (in German)
- Advice to a Young Mathematician
- 's outline of Algebraic Geometry. I wish more universities would provide such materials to their Bachelor and Master students.
- 's rules of supervision
- A shameless self-promoter's thoughts on life in Bonn
Mathematical writing
I definitely disagree with some of the statements made on the pages linked below. Still, I believe that following a large portion of these guidelines leads to mathematical texts that are, at the very least, not unpleasant to read. In particular, anyone writing a Bachelor or Master thesis is encouraged to read these tips and think about them.- : Practical suggestions for mathematical writing
- : The Grammar According to West
- 's Tips for authors and what to avoid when trying to use standard English in mathematics
- : Ratschläge für einen schlechten Redner (also applicable to talks and lectures in mathematics)
- 's hot take on writing. (I disagree with both his points, maybe I'm just old-fashioned.)