I introduce some basics of quantum information. The lecture covers the following topics: quantum circuits, Heisenberg picture in quantum computation, the stabilizer formalism, quantum error correction, and the Gottesman-Knill theorem. This series of

I will first outline the construction of an explicit algorithm transforming a post-Minkowskian (PM) metric in harmonic gauge to a metric in radiative gauges, such as Newman-Unti and Bondi gauges. Then, I

The UV/IR mixing problem makes renormalization difficult when considering quantum field theories on noncommutative spaces. To avoid the UV/IR mixing, Grosse and Steinacker adjusted the action of scalar Phi cubic theories on

After reviewing the elliptic quantum group $U_{q,p}(g)$ associated with the affine Lie algebra $g$, we introduce a new elliptic quantum toroidal algebra $U_{q,t,p}(gl_{1,tor})$. By using the vertex operators (the intertwining operators) of

The Bethe/Gauge correspondence of Nekrasov and Shatashvili describes the low energy dynamics of the vacua of certain supersymmetric gauge theories in terms of integrable spin chains. I will discuss an application of

I will report on recent advances in the definition of the solution theory to some singular stochastic PDEs, in connection with the construction of Euclidean QFTs. Hairer, in 2014, and Gubinelli-Imkeler-Perkowski, in 2015, have made

The semiclassical analysis of Bergman kernels is a multifaceted subject, with applications to physics, complex analysis, and geometry. Locally, the study of Bergman kernels can often be reduced to the analysis of

Local unitary invariant polynomials of tensor variables play an important role in the study of multipartite entanglement.  They also characterize tensor distributions that possess this invariance, and are in bijection with certain triangulations in dimension

In this talk, I will explain how to apply some standard integrability tools like Thermodynamic Bethe Ansatz (TBA) or Quantum Wronskian to realistic black holes models. In particular, the ringdown phase of