# 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, vibronic couplings, exact 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).