My research interests are in the field of condensed matter theory, with a particular focus on the outofequilibrium phenomena in correlated quantum systems. This direction of research is motivated by remarkable experimental progress in solid state physics, quantum information science, and the field of ultracold atoms, which have made it possible to prepare, manipulate and probe quantum manybody systems in real time. Dynamics of correlated manybody systems is of particular interest. These systems are characterized by multitudes of entangled internal degrees of freedom, which when brought outofequilibrium exhibit a complicated energy redistribution and rich multiscale dynamics. Outofequilibrium studies provide an opportunity to reveal their intrinsic properties and brings new questions of universality in dynamics of quantum systems to the scientific forefront.
The theoretical description of dynamics in quantum manybody systems is a challenging task. The my research goal is to develop approaches that are applicable to nonequilibrium problems in various areas of condensed matter physics. Below I provide several research directions in which I am interested.

Physics of mobile impurities
Dynamics of Bose and Fermi polarons in degenerate quantum gases
Polarons in the strong coupling regime
Formation of bipolarons
Singleimpurity Kondo physics at extreme particlehole asymmetry

Manipulation of entangled qubits
Dissipative phase transitions in quantum optics
Application of the Majorana fermion technique to spin systems interacting with light
Elements of quantum computing

Exotic order in manybody systems
Intertwined and vestigial order with ultracold atoms in multiple cavity modes

Quantum transport
Transport through engineered atomic spin devices
Modeling the metastable dynamics of correlated structures
Single molecule transistors

Quantum statistical physics
Description of emissive correlated systems with quantum statistical ensemble
Statistical properties of quantum systems in ultralowdensity regime