Here's a little thread post with two quotes 💬 from Andrew Wiles' Abel Prize interview. Those quotes helped me better understand what research (mathematics) feels like. Here's a link to the interview

In this post, I want to try to give a mostly-visual proof of an exercise I found in Dixon's book "Problems in Group Theory":

Show that the alternating group A4 has no subgroup of order 6.

I recently saw a video by Michael Penn https://youtube.com/c/MichaelPennMath that explained Cayley's theorem in #grouptheory very nicely and in a way that was very clear to me.

On the other hand, I recently saw a video on the same topic by Richard Borcherds https://youtu.be/AZUDhtnz-Do that explained it in a more abstract way and resonated less well with me. I then wondered why my reception was so different?

While I do like Borcherds' lecture videos in general, I guess that this particular one had a much less clear page layout or flow of thought. It was mixing in too many side tracks. And Penn's black board was very nicely structured in this case.

This also made it again clear to me how individual different people's learning journeys in #math are.