Research interests

Superconformal field theory (SCFT)

Superconformal field theories are uniquely positioned in the space of field theories. The cancellation between fermionic and bosonic contributions leads to many computations being attainable analytically. Being interconnected by webs of dualities across energy scales and dimensions, these theories enable us to tackle old problems in novel ways.

Their tight connection with topological invariants of manifolds, and mirror symmetry of Calabi-Yau varieties also makes them uniquely interesting from a Mathematician's perspective.

I've been interested in finding new properties of the superconformal index of certain SCFTs. This can be approached from a background supergravity perspective (Festuccia-Seiberg), or by looking at properties of its UV construction, say for D3-branes probing a toric Calabi-Yau 3-fold.

Holography or AdS/CFT

The anti-de-Sitter/conformal field theory (AdS/CFT) correspondence has introduced novel ways of studying the strong-coupling regime of SCFTs. By leveraging its weak form, we can study strongly-coupled SCFTs at large rank using classical supergravity.

This is the standard approach used in computing holographic entanglement entropy and large-\(N\) limits of the superconformal index.

Machine Learning (ML)

Machine learning applications in high-energy Physics have seen a huge surge in the past decade. Due to ML's usefulness in studying systems with symmetries, it probably will become a ubiquitous tool for Physicists.

My interests lie in using the strong predictive power of modern architectures to obtain previously-unattainable results in high-energy Physics/string theory.