AdS CFT correspondence

Geodesic bulk diagrams on the Bruhat–Tits tree

Edge length dynamics on graphs with applications to p-adic AdS/CFT

p-adic AdS/CFT

AdS Feynman diagrammatics

Develop efficient tools and compute higher-point and higher-loop Feynman diagrams in anti-de Sitter space.

Conformal blocks

Find explicit expressions for and study properties of conformal blocks, which are the building blocks of local correlation functions in CFTs.

Discrete AdS/CFT correspondence

Develop discrete analogs of the AdS/CFT correspondence inspired from number theory, and understand their deep connection with the usual continuum formulation.

Quantum error-correction and holography

Explore the deep connections between quantum error-correcting codes and gravity in the framework of the AdS/CFT correspondence.