# 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 (published textbook), 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, GTO and STO basis sets,
MOPAC for semiempirical calculations,
TINKER and LAMMPS for classical molecular mechanics,
Firefly and 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).