My seminar is for highschool students, decent undergraduates, bright graduates, and outstanding professors.

My seminar is for highschool students, decent undergraduates, bright graduates, and outstanding professors.

People (or students) do not have shortcomings, only uniquenesses. The goal of a good teacher is to turn these uniquenesses into advantages.

They have the idea that non-commutative algebra should remind one of commutative algebra, but the former is more sophisticated. I believe that non-commutative algebra is just as simple, but it is different.

... The approach of von Neumann and Connes to the use of non-commutative algebra in physics is naive, the situation is much more complicated.

One of the reasons we don't do as well as we should is that we are all over-taught.

I used to say: "Everything is Representation Theory". Now I say: "Nothing is Representation Theory".