A practical guide for graduate students
Associate Professor, ECE | The Ohio State University
Co-Director, IITB-OSU Frontier Center
Founder, Ensemble Control Inc.
Side goal
I want someone to read my paper 30 years later.
Main body
Appendix
One message: Every element has a job. Know what each section must accomplish before you write a word of it.
| Type of paper | Audience size | Who reads it |
|---|---|---|
| Extremely theoretical | ~100 people | Substantial mathematical training: faculty, math grad students, some industry research labs |
| Implementation & experimental | ~1,000 people | Graduate students and industry professionals who do experimental work |
| Survey | ~10,000 people | Starting graduate students, interested undergrads, non-experts |
| News article | ~1,000,000 people | Non-technical people, CTOs, CEOs, etc. |
One message: The audience determines the notation, the pace, and the level of detail — decide who you are writing for before you start.
Put the result into perspective
Accurately describe the result
Convey the organization of the paper
If this problem is not solved…
If the problem is solved…
Also be careful about who this problem is for
General users, telecom companies, data center operators, utility companies, etc.
Select a reasonable notation
Clearly state the mathematical problem you are solving
Notation hygiene
Use different notation for constants, spaces, sets, operators, etc.
Strive for: precision · clarity · familiarity · forthrightness · conciseness · fluidity · rhythm
Working assumption
Assume the reader cannot recall anything you have written 2 pages prior to the current page.
One message: The reader’s working memory is small. Package every idea to fit inside it.
Research vs. writing
Research happens forward in time, but the paper is written with information in hindsight — so you need to write the paper backward from how your own research was conducted.
The dead ends, the failed attempts, the order of discovery — none of that is the reader’s problem. Start from the result, and lay the shortest logical path to it.
The Grammar According to Prof. Douglas West
https://dwest.web.illinois.edu/grammar.html
Ten Rules for Math Writing by Prof. Dimitri Bertsekas
https://faculty.engineering.asu.edu/bertsekas/wp-content/uploads/sites/129/2019/10/ten-rules-for-math-writing.pdf
Advice on Writing Papers by Prof. Terence Tao
https://terrytao.wordpress.com/advice-on-writing-papers/
Abhishek Gupta · The Ohio State University · How to Write a Good Research Paper