Talks

Exact diagonalization part 2: Continue with finding matrices for N-site Ising model,  solve for eigenvalues and eigenstates of model

https://github.com/dwohns/PI-Summer-School-2020

Exact diagonalization part 1: solve two-site Ising model, find energies, expectation  values, etc.; Find matrices for N-site Ising model

https://github.com/dwohns/PI-Summer-School-2020

There is a rich interplay between higher algebra (category theory, algebraic topology) and condensed matter. I will describe recent mathematical results in the classification of gapped topological phases of matter. These results allow powerful techniques from stable homotopy theory and higher categories to be employed in the classification. In one direction, these techniques allow for complete a priori classifications in spacetime dimensions ≤6. In the other direction, they suggest fascinating and surprising statements in mathematics.