We prove that random-cluster models with q larger than 1 on a variety of planar lattices have a sharp phase transition, that is that there exists some parameter p_c below which the model...

# Publications

## Pages

We define a theory of descendent integration on the moduli spaces of stable pointed disks. The descendent integrals are proved to be coefficients of the τ-function of an open KdV heirarchy. A...

Gaudin hamiltonians form families of r-dimensional abelian Lie subalgebras of the holonomy Lie algebra of the arrangement of reflection hyperplanes of a Coxeter group of rank r. We consider the...

In this paper, we show that, in ABJ(M) theories with N=8 supersymmetry, the non-perturbative sector of the partition function on the three-sphere simplifies drastically. Due to this...

We show how to perform accurate, nonperturbative and controlled calculations in quantum field theory in *d* dimensions. We use the Truncated Conformal Space Approach (TCSA), a Hamiltonian...

We lay down a general framework for how to construct a Topological Quantum Field Theory $Z_A$ defined on shaped triangulations of orientable 3-manifolds from any Pontryagin self-dual locally...

Categorification is a process of lifting structures to a higher categorical level. The original structure can then be recovered by means of the so-called "decategorification" functor. Algebras...

It is shown that the operad maps E_n→E_{n+k} are formal over the reals for k≥2 and non-formal for k=1. Furthermore we compute the cohomology of the deformation complex of the operad maps E_n→E_{...

We present a framework for general relativistic N-body simulations in the regime of weak gravitational fields. In this approach, Einstein's equations are expanded in terms of metric...

We give a generalization of toric symplectic geometry to Poisson manifolds which are symplectic away from a collection of hypersurfaces forming a normal crossing configuration. We introduce the...

For a K3 surface S, we study motivic invariants of stable pairs moduli spaces associated to 3-fold thickenings of S. We conjecture suitable deformation and divisibility invariances for the Betti...

The goal of this paper is the proof of the algebraic complete integrability of the Bloch–Iserles Hamiltonian system. This result was conjectured in “A class of integrable flows on the space of...