\hat{Z} is an invariant of 3-manifolds valued in q-series (i.e. power series in q with integer coefficients), which has interesting modular properties. While originally from physics, this invariant has been...
Read more
We show that every quantum computation can be described by Bayesian update of a probability distribution on a finite state space. Negativity in a quasiprobability function is not required, neither in...
Read more
“Type-II” fracton phases are exotic, gapped phases of matter in which all point-like excitations are deconfined but completely immobile. We present two approaches to constructing and analyzing models for type-II...
Read more
Vafa-Witten theory is a topologically twisted version of 4d N=4 super Yang-Mills theory. In my talk I will tell how to derive a holomorphic anomaly equation for its partition function...
Read more
Quantum Fourier analysis is a subject that combines an algebraic Fourier transform (pictorial in the case of subfactor theory and topological quantum field theory) with analytic estimates. We give an...
Read more
In this talk, we construct a dgBV algebra PV*(X) associated to a possibly degenerate Calabi--Yau variety X equipped with local thickening data. This gives a version of the Kodaira--Spencer dgLa...
Read more
I will describe two new descriptions of gapped fracton topological order. These descriptions are generic and make minimal modifications to ordinary TQFT in order to obtain fracton physics. The first...
Read more
More than 10 years ago, I showed that non-supersymmetric QCD with adjoint fermions admits a (non-thermal) compactification on $R^3 \times S^1$ where non-perturbative gauge dynamics becomes calculable. The mass gap,...
Read more
Hypertoric varieties are algebraic symplectic varieties associated to graphs, or more generally certain hyperplane arrangements. They make many appearances in modern geometric representation theory. I will discuss certain infinite dimensional...
Read more
Interference is an essential part of quantum mechanics. However, an important class of Hamiltonians considered are those with "no sign problem", where all off-diagonal matrix elements of the Hamiltonian are...
Read more