We prove a local law for the adjacency matrix of the Erd\H{o}s-R\'enyi graph G(N,p) in the supercritical regime pN \geq C\log N where G(N,p) has with high probability no isolated vertices. In...

# Publications

## Pages

The celebrated Wigner-Gaudin-Mehta-Dyson (WGMD) (or sine kernel) statistics of random matrix theory describes the universal correlations of eigenvalues on the microscopic scale, i.e....

During single clock inflation, hidden fields (i.e. fields coupled to the inflaton only gravitationally) in their adiabatic vacua can ordinarily only affect observables through virtual effects....

Given a graph G and a bijection f : E(G)\rightarrow \{1, 2, \ldots,e(G)\}, we say that a trail/path in G is f-\emph{increasing} if the labels of consecutive edges of this trail/path form an...

For a compact Poisson-Lie group K, the homogeneous space K/T carries a family of symplectic forms\omega_\xi^s, where \xi \in \mathfrak{t}^*_+ is in the positive Weyl chamber and s \in \mathbb{R...

We discuss walking behavior in gauge theories and weak first-order phase transitions in statistical physics. Despite appearing in very different systems (QCD below the conformal window, the...

We test various conjectures about quantum gravity for six-dimensional string compactifications in the framework of F-theory. Starting with a gauge theory coupled to gravity, we analyze the limit...

We construct a formal global quantization of the Poisson Sigma Model in the BV-BFV formalism using the perturbative quantization of AKSZ theories on manifolds with boundary and analyze the...

We define a generalization of the winding number of a piecewise C^{1} cycle in the complex plane which has a geometric meaning also for points which lie on the cycle. The computation of...

The truncated two-point function of the ferromagnetic Ising model on \mathbb Z^d d\ge3 in its pure phases is proven to decay exponentially fast throughout the ordered regime (\beta>\beta_c...

We describe a framework to construct a perturbative quantization of nonlinear AKSZ Sigma Models on manifolds with and without boundary, and show that it captures the change of the quantum state...

The universal enveloping algebra of {\cal W}_{1+\infty} is isomorphic to the affine Yangian of \mathfrak{gl}_1. We study the N=2 supersymmetric version of this correspondence, and identify the...