Ballpark Estimate

My experience has been that graduate students are a bit more loose with their notion of “accurate”.

Overloaded

“Don’t you think it would be a good idea to spread the load out a bit?”

“No no, I’m sure you can do it. Hey, I have this friend who also wants to give you a few things. Their name is Mathematics.”

Project Dilation

If you get too good at being a scientist, outside forces (talks, committees, prizes, etc.) will react to stop you from decreasing your gamma factor to one.

True Learning

To me, the learning is about the edges rather than the nodes. Make sure you take the time to forge those connections.

Ladder of Abstraction

I was wondering what the Ladder of Abstraction was leaning on. Clearly, the mathematicians just assumed its existence as a starting point.

Fundamental Law of Reading Dynamics

Find me one person who violates this law, and I’ll be surprised.

Language Inequality

The most productive research hack would be a way to question the author of a paper whenever you read something they wrote. It would save so much time.

Mathematics Education

How high can you climb?

Research Priorities

“I’m sure nobody will care if I make a bunch of boring slides.”

Guardrails

Teacher: “I’m basically guiding you through a harrowing mountain range where one bad step leads to death.”