Physics

I'll describe the cluster partition function (CPF), a computational tool that uses elements from cluster algebra and representation theory to describe the partition function of Chern-Simons theory with gauge group SL(N,C), on knot complements. I'll...

Combinatorial maps (generated in the Feynman expansion of matrix models) can be classified by a non negative integer, the genus. Edge colored graphs (generated in the Feynman expansion of tensor models) can similarly be classified by a non negative...

I will review the phenomenological successes of MOND on the scale of galaxies. I will discuss its failure on cosmological scales. These large scale problems have been understood for decades, are very robust and their origin can be easily understood...

String sigma-models relevant in AdS/CFT are highly non-trivial two-dimensional field theories for which predictions at finite coupling assume integrability and/or the duality itself. After having discussed general features of the perturbative...

The last years have seen remarkable progress in understanding the scattering amplitudes of massless particles in arbitrary dimension. They exhibit structures and a simplicity completely obscured by the Feynman diagram approach, and can be shown to...

I will review the lightcone bootstrap and explain how it canbe used to describe analytically some new numerical results for the 3dIsing CFT.