1. Quantum Enhanced Technology
- quantum simulators
- quantum enhanced machine learning
- adiabatic vs gate-model algorithms

2. Foundations and Mathematical Methods
- theory of tensor networks
- theory of quantum walks and time symmetry breaking (chiral quantum walks)
- symmetries, invariant theory

3. Frontiers
- applications of information theory to new domains
- mathematics of network theory
- quantum vs stochastic complex systems
- Hamiltonian complexity theory

Algebra - Grops Theory - Representation Theory - Boolean algebra - Graph Theory - Spin Models - Complexity