3D mirror symmetry is a duality between topological twists of 3-dimensional supersymmetric quantum field theories. One manifestation of this duality is an isomorphism between branches of the moduli space of vacua of

In this talk, I will discuss the correspondence between 3d gauge theory and quantum K-theory. This is a 3d uplift of the well-known relation between 2d gauged linear sigma models (GLSMs) with

In the 90s, Feigin and Odesskii introduced elliptic algebras, which are deformations of polynomial algebras associated with an elliptic curve, with its shift serving as a deformation parameter, generalizing Sklyanin algebras. The

Holography has nowadays become one of the most popular research fields in quantum gravity and Random Tensor Networks (RTNs) have emerged as a minimal model for understanding the entanglement structure of holographic

In this talk, we present a new concrete example of the correspondence between random matrices and random partitions via correlation functions.. We show that, under an appropriate scaling limit, the correlation function