Ben Forrás’s website

Reading list

This is a 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
• Trevor Arnold: What is Iwasawa Theory?
• Loeffler on Perrin-Riou's big logarithm
• MathOverflow [iwasawa-theory] tag
• ICTS Automorphic forms and the Bloch–Kato conjecture YouTube playlist

Academia

• 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)
• Atiyah et al.: Advice to a Young Mathematician
• Radboud University's outline of Algebraic Geometry. I wish more universities would provide such materials to their Bachelor and Master students.
• Ben Moonen's rules of supervision
• Manfred Lehn: Wie bearbeitet man ein Übungsblatt?
• Informationsveranstaltungen der DFG
• Alice Silverberg: Alice's Adventures in Numberland, and especially What can I learn from this?

Grants and job applications

• The DFG's info seminars on funding opportunities
• Frank Calegari: Read my NSF proposal
• Debanjana Kundu's research statement, short research statement, and teaching statement

Mathematical writing

• 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)

Databases and articles

• LMFDB
• GroupNames
• MathSciNet
• arXiv [math.NT]
• Backlog of Mathematics Research Journals (for 2023)

Mathematical miscellany

• 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• Kevin Buzzard's unpublished notes
• Joël Bellaïche: An introduction to Bloch and Kato’s conjecture
• Notes from the Heidelberg Spring School: Bergdall, Hübner, Johansson, Newton
• Alex Youcis on ramification of prime ideals and of curves
• Keith Conrad's expository papers
• The mlab
• Odlyzko on the Hilbert–Pólya conjecture
• Greenberg: Memories of Professor Iwasawa
• Greenberg: 120 minutes at the house of Professor Kenkichi Iwasawa