## Biography

Jani Kastikainen is a graduate student of theoretical physics working on high energy physics.

## Research interests

- Classical and quantum aspects of gravity
- Conformal field theory
- Entanglement in quantum many-body systems

## My research interests

## Classical and quantum aspects of gravity

All known forces of nature have been understood quantum mechanically, but not gravity.

- The AdS/CFT correspondence
- String theory
- Topological theories of gravity (such as 3D gravity)

Picture of AdS space with holographic duality equation involving a correlator.

## Conformal field theory

Relativistic quantum field theories symmetric under conformal transformations are called conformal field theories. They appear as universal descriptions of quantum many-body systems near a critical point and as dual descriptions of quantum gravity in the AdS/CFT correspondence. I’m interested in CFTs as useful

- Applications of quantum information theory to CFTs
- Universal aspects of two-dimensional CFTs
- Field theories with boundaries (BCFTs) and their holographic descriptions

The equation for the Weyl anomaly?

Path integral?

Picture of a torus?

Relative entropy equation?

Or some equation from the BCFT paper? (add reference to the paper)

## Entanglement in quantum many-body systems

An unintuitive feature of nature is entanglement which is behind the famous spooky action at a distance as said by Einstein.

- One-dimensional quantum systems such as spin-chains
- Quantum thermodynamics

Jordan-Wigner transformation?