General advice
Writing
- Write a Rapid Prototype First by Terence Tao:
- Write a quick skeleton of the paper. Approximately state the key lemmas, propositions, theorems, and definitions. Omit the proofs.
- Write down enough of the proofs that you can make the statements of the lemmas, etc., precise.
- Write the key portions of the argument. Make sure that the propositions flow from the lemmas, etc.
- Fill in the remaining gaps in the paper.
- Four Steps to an Applied Micro Paper by Jesse Shapiro:
- Aspirational introduction.
- Research.
- Robot.
- Contractual introduction.
- How to Write Papers so People Can Read Them by Derek Dreyer (see slides):
- “Old to new”: start each sentence with information introduced before.
- “One paragraph, one point”: each paragraph should have one main point, expressed in one point sentence near the beginning. The “theorem–proof” model of paragraphs.
- “Name your baby”: give unique names, use them consistently.
- “CGI” model for abstract/intro: context, gap, innovation.
- Writing Tips for PhD Students by John Cochrane:
- “First describe what you do, then explain it, compare it to alternatives, and compare it to others’ procedures”.
- “Every word must count. […] Does each sentence say something, and does it mean what it says?”
- How to Write a Great Research Paper by Simon Peyton Jones.
- The Young Person’s Guide to Writing Economic Theory by William Thomson.
- Mathematical Writing by Donald Knuth, Tracy Larrabee, and Paul Roberts.
- Ten Simple Rules for Mathematical Writing by Dimitri Bertsekas:
- Organize in segments.
- Write segments linearly.
- Consider a hierarchical development.
- Use consistent notation.
- State results consistently.
- Don’t overexplain—don’t underexplain.
- Tell them what you’ll tell them.
- Use suggestive references.
- Consider examples and counterexamples.
- Use visualization when possible.
Giving talks
- How to Design Talks by Ranjit Jhala (see slides):
- Story: the path to your goal. Identify your goal, pick good landmarks on the path. Definition before use. Minimize bandwidth.
- Scenes: short paths between landmarks. Work backwards, starting with the scene’s last slide. Show, don’t tell.
- Frames: what is on each slide. Be minimal, make the focus obvious. Or be incremental. Or highlight the focus.
- 10 Tips for Academic Talks by Matt Might:
- The audience determines the talk.
- Practice almost makes perfect.
- Nervous energy is exploitable.
- Every talk should motivate a problem.
- An academic talk is about an idea, not a paper.
- Slides must not overwhelm the viewer.
- Images and diagrams are better than text.
- Math’s benefit must outweigh the loss of attention.
- Style matters.
- Questions are not random.
- How to Speak by Patrick Winston.
- Tips + Tricks with Beamer for Economists by Paul Goldsmith-Pinkham.
- How to Give an Applied Micro Talk by Jesse Shapiro.
Physical and mental health
Miscellaneous