I am a mathematician: I developed the theories of rings, fields and algebras that shape abstract algebra, and I proved the two theorems that tie every continuous symmetry in physics to a conservation law.
The person outside the work — what they're learning and tinkering with.
At Göttingen I supervised more than a dozen doctoral students and led a wider circle — Krull, Köthe, van der Waerden — whose work and textbooks spread my approach to abstract algebra across the field.
I taught without a lesson plan: my Göttingen lectures were live research sessions where I worked through open problems with students. Several of my key results came out of them, and students' notes became textbooks.
