We prove that the Poisson-Boolean percolation on \mathbb{R}^d undergoes a sharp phase transition in any dimension under the assumption that the radius distribution has a 5d-3 finite moment (in...

# Publications

## Pages

In the 90s, based on presentations of 3-manifolds by Heegaard diagrams, Kuperberg associated a scalar invariant of 3-manifolds to each finite dimensional involutory Hopf algebra over a field. We...

In 4d \mathcal{N}=1 superconformal field theories (SCFTs) the R-symmetry current, the stress-energy tensor, and the supersymmetry currents are grouped into a single object, the Ferrara--Zumino...

For a compact oriented surface \Sigmaof genus g with n+1 boundary components, the space g spanned by free homotopy classes of loops in \Sigmacarries the structure of a Lie bialgebra. The Lie...

In this work we consider colour-ordered correlation functions of the fields in integrable planar gauge theories such as N=4 supersymmetric Yang-Mills theory with the aim to establish Ward-...

We consider finite-range ferromagnetic Ising models on \mathbb{Z}^d in the regime \beta<\beta_c. We analyze the behavior of the prefactor to the exponential decay of \mathrm{Cov}(\sigma_A,\...

Topological strings on toric Calabi--Yau threefolds can be defined non-perturbatively in terms of a free Fermi gas of N particles. Using this approach, we propose a definition of quantum mirror...

Considering theories in sectors of large global charge Q results in a semiclassical effective field theory (EFT) description for some strongly-coupled conformal field theories (CFTs) with...

We study the orbifold Gromov-Witten theory of the quotient C^3/Z_3 in all genera. Our first result is a proof of the holomorphic anomaly equations in the precise form predicted by B-model...

We show that the Ginzburg-Weinstein diffeomorphism \mathfrak{u}(n)^* \to U(n)^* of Alekseev-Meinrenken admits a scaling tropical limit. The target of the limit map is a product \mathcal{C} \...

Carrying to higher precision the large-\mathcal{J} expansion of Hellerman and Maeda, we calculate to all orders in 1/\mathcal{J} the power-law corrections to the two-point functions \mathcal{Y}...

We investigate the statistical properties of isotropic, stochastic, Gaussian distributed, helical magnetic fields characterized by different shapes of the energy spectra at large length scales...