Let G be a connected semisimple Lie group. There are two natural duality constructions that assign to it the Langlands dual group G^{∨} and the Poisson-Lie dual group G^{∗}. The...

# Publications

## Pages

The study of the stratification associated to the number of generators of the ideals in the punctual Hilbert scheme of points on the affine plain goes back to the '70s. In this paper, we present...

We propose an explicit formula for the GW/PT descendent correspondence in the stationary case for nonsingular projective 3-folds. The formula, written in terms of vertex operators, is found by...

Suppose there are n harmonic pencils of lines given in the plane. We are interested in the question whether certain triples of these lines are concurrent or if triples of intersection points of...

The plane-wave limit of {\rm AdS}_3 \times {\rm S}^3 \times {\rm S}^3 \times {\rm S}^1 is analysed for generic null-geodesics that are not necessarily BPS. For the case of pure NS-NS flux it is...

We discuss the application of Siegel paramodular forms to the counting of polar states in symmetric product orbifold CFTs. We present five special examples and provide exact analytic counting...

Studies of dark energy at advanced gravitational-wave (GW) interferometers normally focus on the dark energy equation of state w_{\rm DE}(z). However, modified gravity theories that predict a...

We review some results of our paper arXiv:1602.05171v2 on the "nonlinear quasifree approximation" to the many-body Schr\"odinger dynamics of Bose gases. In that paper, we derive, with the help...

Conformal field theories have been long known to describe the fascinating universal physics of scale invariant critical points. They describe continuous phase transitions in fluids, magnets, and...

Let G be a finite plane multigraph and G′ its dual. Each edge e of G is interpreted as a resistor of resistance R_e, and the dual edge e′ is assigned the dual resistance R_{e'}:=1/R_e. Then the...

The Yang-Baxter (YB) deformation is a systematic way of performibg integrable deformations of two-dimensional symmetric non-linear sigma models. The deformations can be labeled by classical r-...

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...