My research interests include:

Mathematical condensed matter theory

2D Materials, Moire materials, Media in magnetic fields, quasiperiodic operators

Quantum information theory

(Optical) Continuous variable systems, Analytical aspects of quantum information theory

Spectral theory & Semiclassical Analysis

Most systems are only tractable in limiting regimes. This involves usually some small or large parameter and thus the use of semiclassical methods.

Numerical Methods (in Quantum Mechanics) and Learning

Many of my analytical works rely on thorough numerical studies of the systems involved. I have also been involved and interested in questions related to learning and AI.