My research spans the areas of quantum many-body physics, condensed matter theory, and statistical mechanics. I am especially interested in quantitative, controlled studies of strongly correlated fermions and their application to ultracold atoms and real materials. To this end, I specialize in a combination of state-of-the-art numerical and analytical techniques, with emphasis on exact computational methods.

**Research projects**

- Fixed quantum impurity models

(spin-boson model, non-equilibrium, dynamics, real-time Quantum Monte Carlo, inchworm algorithm) - Resonant Fermi polaron

(mobile impurity, diagrammatic Monte Carlo, spectral function, numerical analytic continuation) - Unitary Fermi gas

(diagrammatic Monte Carlo, thermodynamics, phase transitions, superfluidity) - Dynamical properties of Fermi gases

(Boltzmann equation, semi-classical simulation, collisions) - The grasshopper problem

(quantum information, statistical physics, pure mathematics, optimization, simulated annealing) - Numerical libraries

(open source, diagrammatic Monte Carlo, data sampling, data fitting) - Quantum point contacts

(conductance, spin-orbit coupling, functional Renormalization Group)

**Current research funding:**

NSF grant “CQIS: The Grasshopper Problem”

NSF grant “ExpandQISE: Track 2: EQUIP-UMB-Expand Quantum Information Programs at UMass Boston”