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.

Non-expert introduction

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”