This is the course homepage of a lecture series I am giving at UC Berkeley during the Fall 2026 semester
Lecture schedule
Part 1: the XXX spin chain and the definition of the Yangian for gl_n
Tuesday 1st September: XXX spin chain lecture 1
Thursday 3rd September: QYBE, integrable heirarchy
Tuesday 8th September: The Bethe Ansatz
Thursday 10th September: Bethe algebras, definition(s) of the Yangian Y_h(gl_n)
Part 2: The Maulik-Okounkov Yangian
Tuesday 15th September: Nakajima quiver varieties I
Thursday 17th September: Nakajima quiver varieties II
Tuesday 22nd September: Torus fixed points
Thursday 24th September: Equivariant cohomology
Tuesday 29th September: Yang's R matrix from Nakajima quiver varieties
After part 1, the course will concentrate on geometric representation theory/cohomological Hall algebras/BPS cohomology. There are lots of ways to structure that, please let me know if you have a preference here
Notes will start to appear on this page as the lecture course takes shape.