1. The microscopic theory of multielectron systems.
2. The internal structure, thermodynamics and stability of degenerate dwarfs.
3. Exoplanetary systems.
4. Ionization equilibrium of stellar photospheres.
5. Localized states of electrons in the partially ionized plasma.

1. Vavrukh M. V., Tyshko N. L., Dzikovskyi D. V., Stelmakh O. M. The self-consistent description of stellar equilibrium with axial rotation. Mathematical modeling And Computing. Vol. 6, No. 2, P. 153 (2019). DOI: 10.23939/mmc2019.02.153.
2. Vavrukh M., Dzikovskyi D., Stelmakh O. The shell model of electron structure of negative hydrogen ion. Mathematical modeling And Computing. Vol. 6, No. 1, P. 144 (2019). DOI: 10.23939/mmc2019.01.144.
3. Dzikovskyi D. V., Vavrukh M. V., Smerechynskyi S. V. Role of the interparticle interactions and axial rotation in the massive white dwarfs theory. Advances in Astronomy and Space Physics. Vol. 8, P. 9 (2018). DOI: 10.17721/2227-1481.7.3-5.
4. Vavrukh M. V., Dzikovskyi D. V., Smerechynskyi S. V. Consideration of the Competing Factors in Calculations of the Characteristics of Non-Magnetic Degenerate Dwarfs. Ukrainian Journal of Physics. Vol. 9, P. 777 (2018). DOI: doi.org/10.15407/ujpe63.9.777.
5. Vavrukh M. V., Dzikovskyi D. V., Smerechynskyi S. V.The Influence of the Interactions on the Degenerate Dwarfs Characteristics. Journal of Physical Studies. Vol. 22, P. 1901 (2018). DOI: doi.org/10.30970/jps.22.1901.
6. Vavrukh M., Dzikovskyi D., Solovyan V., Tyshko N. Correlation functions of the degenerate relativistic electron gas with high density. Mathematical modeling And Computing. Vol. 3, No. 1, P. 97 (2016). DOI: doi.org/10.23939/mmc2016.01.097.
7. Vavrukh M. V., Vasil’eva I. E., Stelmakh O. M., Tyshko N. L. Continuous Absorption and Depression in the Solar Spectrum at Wavelengths from 650 to 820 nm. Kinematics and Physics of Celestial Bodies. Vol. 32, No. 3, P. 129 (2016). DOI: 10.3103/S0884591316030053.
8. Vavrukh M. V., Dzikovskyi D. V., Tyshko N. L. Model of Degenerate Dwarf With Spin-Polarized Electron System. Odessa Astronomical Publications. Vol. 28, No 1, P. 82 (2015). DOI: doi.org/10.18524/1810-4215.2015.28.70398.
9. Vavrukh M., Smerechynskyi S. Hot Degenerate Dwarfs in a Two-Phase Model. Astronomy Reports, Vol. 57, No. 12, P. 913 (2013). DOI: 10.1134/S1063772913100065.
10. Vavrukh M., Smerechynskyi S. A Finite Temperature Chandrasekhar Model: Determining the Parameters and Calculation of the Characteristics of Degenerate Dwarfs. Astronomy Reports, Vol. 56, No. 5, P. 363 (2012). DOI: 10.1134/S1063772912050071.
11. Vavrukh M., Smerechynskyi S., Tyshko N. The Inverse Problem of the Theory of Degenerate Dwarfs. Astronomy Reports, Vol. 55, No. 6, P. 505 (2011). DOI: 10.1134/S1063772911060084.
12. Vavrukh M., Slobodyan S. Electron-plasmon model in the electron liquid theory. Cond. Matt. Phys., Vol. 8, No 3, P. 453 (2005). DOI: 10.5488/CMP.8.3.453.
13. Vavrukh M., Paslavskii V. Reference System Approach in the Electron Liquid Theory VI. Generalized Fermi System Model. Local-Field Correction Function. Physica Status Solidi (b), Vol. 8, P. 91 (1998). DOI: doi.org/10.1002/(SICI)1521-3951(199807)208:13.0.CO;2-D.
14. Vavrukh M., Blazhievskii O. Reference System Approach in the Electron Liquid Theory: V. Application to the Two‐Component Fermi Systems. Physica Status Solidi (b), Vol. 186, No 2, 449 (1994). DOI: doi.org/10.1002/pssb.2221860214.
15. Vavrukh M., Vavrukh N. Reference System Approach in the Electron Liquid Theory. IV. Momentum Distribution. Physica Status Solidi (b), Vol. 186, No 1, 159 (1994). DOI: doi.org/10.1002/pssb.2221860113.
16. Vavrukh M.,  Solovyan V., Vavrukh N. Reference System Approach in the Electron Liquid Theory. III. Dynamic Function of Local‐Field Correction. Physica Status Solidi (b), Vol. 177, No 2, 361 (1993). DOI: doi.org/10.1002/pssb.2221770211.
17. Vavrukh M.V., Krokhmalskii T.E. Reference System Approach in the Electron Liquid Theory. ІІ. Ground State Characteristics in the Medium Density Region. Physica Status Solidi (b), Vol. 169, No 2, 451 (1992). DOI: doi.org/10.1002/pssb.2221690218.
18. Vavrukh M., Krokhmalskii T. Reference System Approach in the Electron Liquid Theory I. General Relations. Physica Status Solidi (b), Vol. 168, No 2, 519 (1992). DOI: doi.org/10.1002/pssb.2221680213.

Was born in August 11, 1942 in the village Koshlyaky, now Pidvolochysk district of Ternopil region. Physicist, Candidate of Physical and Mathematical Sciences (“The two-sort system of charged interacting particles in the method of displacements and collective variables”, 1972), Senior Researcher (1980), Doctor of Physical and Mathematical Sciences (“The theory of many-particle electron correlations in the metals”, 1987), Professor (2001). Graduated the Faculty of Physics of Ivan Franko National University of Lviv (1964), Postgraduate Studies (1971). In 1964-1968 – Assistant of Department of Theoretical Physics of Lviv University. 1971-1990 – Senior Researcher, Leading Researcher of Lviv Department of Institute of Theoretical Physics URSR Academy of Sciences; 1990-1996 – Head of Department of Theory of Multielectron systems of Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine. 1996-2015 – Head of Department of Astrophysics of Ivan Franko National University of Lviv. Since 2015 – Professor of Department of Astrophysics of Ivan Franko National University of Lviv.

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