(See also my published papers.)
  • Russ Woodroofe, An algebraic groups perspective on Erdős-Ko-Rado.

    We give a proof of the Erdős-Ko-Rado Theorem using the Borel Fixed Point Theorem from algebraic group theory. This perspective gives a strong analogy between the Erdős-Ko-Rado Theorem and (generalizations of) the Gerstenhaber Theorem on spaces of nilpotent matrices.