- String Dynamics in Yang-Mills Theory
- Topological Lattice Actions
- Non-trivial Theta-Vacuum Effects in the 2-d O(3) Model

- Meron-Cluster and Nested Cluster Algorithms: Addressing the Sign Problem in Quantum Monte Carlo Simulations
- Quantum Antiferromagnetism: From Loop-Cluster Simulations to Systematic Effective Field Theories
- Effective Theories for Magnetic Systems

- From QCD to Lightly Doped Antiferromagnets: Effective Field Theories for Magnons and Holes
- Rotor Spectra, Berry Phases, and Monopole Fields: From Antiferromagnets to QCD

- Quantum Spins and Quantum Links: From Classical to Quantum Simulation
- Atomic Quantum Simulation of Dynamical Gauge Fields using Quantum Links
- Atomic Quantum Simulation of Abelian and non-Abelian Gauge Theories (CERN, January 29, 2014, podcast)