Experienced technical skills
- Standard methods of theoretical physics at the level of the
Landau-Lifshitz course
(7-year teaching experience) and basic methods of quantum field theory.
- Wide range of mathematical methods including
partial differential equations,
asymptotic methods,
functional analysis,
random processes,
combinatorics,
point and space groups,
numerical methods.
- Advanced methods of statistical physics including
series expansions,
exact enumeration,
exactly solvable models,
scaling theory,
mean-field theory,
variational approach,
Monte-Carlo methods,
ALPS for spin models.
- Computational quantum mechanics:
SCF calculations,
geometry optimization,
structure prediction,
vibronic couplings,
exact analytical diagonalization,
MOPAC for semiempirical calculations,
TINKER and LAMMPS for classical molecular mechanics,
Gaussian for ab-initio calculations with GTO,
VASP for ab-initio calculations with plane waves,
ALPS for state of the art calculations of model systems (e.g. Hubbard model).