Bence Forrás’s website

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. See also this list.

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

Furthermore

• Articles published in the What is… column
• Calegari: Congruences between modular forms (AWS 2013)
• Andrew Kobin's lecture notes
• Matthew Emerton's assorted posts
• Romyar Sharifi's writings
• Kevin Buzzard's unpublished notes

On academia and being a math student

• Ravi Vakil's advice for potential Ph.D. students, especially his Three Things Exercise
• Joe Silverman on letters of recommendation, also check out the links at the bottom of his page
• Jan Schröer's Ratschläge und Weisheiten (in German)
• 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.

• Poonen: Practical suggestions for mathematical writing
• Douglas B. West: The Grammar According to West
• J.S. Milne's Tips for authors and what to avoid when trying to use standard English in mathematics
• Kurt Tucholsky: Ratschläge für einen schlechten Redner (also applicable to talks and lectures in mathematics)
• David Hansen's hot take on writing. (I disagree with both his points, maybe I'm just old-fashioned.)

Blogs

• David Hansen's blog totallydisconnected
• Alex Youcis's blog Hard Arithmetic
• Frank Calegari's blog

Mathematical miscellany

• Alex Youcis on ramification of prime ideals and of curves
• Keith Conrad's expository papers
• The mlab
• Odlyzko on the Hilbert–Pólya conjecture