PROFESSIONAL EXPERIENCE
2006 – till now
Junior Researcher, Researcher, Senior Researcher at the Department of Mathematical Physics (former Department of
Applied Research) of the Institute of Mathematics of the National Academy of Science of Ukraine, Kyiv, Ukraine
2008
Postdoctoral fellow, Erwin Schroedinger International Institute for Mathematical Physics, Vienna, Austria.
2007
Postdoctoral fellow at the CRM, Unversity of Montreal, Montreal, Canada.
EDUCATION
2002 – 2006
Postgraduate study at the Department of Applied Research of Institute of Mathematics of NAS of Ukraine;
Ph.D. in Mathematical Physics (2007). Thesis "Contractions and realizations of Lie algebras"(Supervisors: Prof. A.G. Nikitin,
Prof. R.O. Popovych).
1997 – 2002
graduate studies at Department of Mechanics and Mathematics,
Taras Shevchenko National University of Kyiv,
M.Sc. in Maths: Department of Mechanics and Mathematics (2002).
Thesis "Realizations and invariants of lowdimensional Lie algebras"(Supervisors: Prof. A.G. Nikitin,
Prof. V.M. Boyko).
FIELD OF RESEARCH
Theory of Lie algebras: their realizations, contractions and related problems; algebraic invariants, differential invariants and differential equations; orbitfunctions, quasicrystals and their applications.
Scholar Google Reseach Profile
PUBLICATIONS

M. Nesterenko, S. Posta,
Comparison of realizations of Lie algebras,
Journal of Physics Conference Series, 2018, 965(1): 012028, 6 pages.

M. Nesterenko, S. Posta,
Equivalence of Vector Field Realizations of Lie Algebras from the Lie Group Point of View,
Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Vol. 1, 2018, 421427.

M. Nesterenko, S. Posta,
Differential Invariants and Realizations of the Deformed Smallest Galilei Algebra,
Physics of Particles and Nuclei, 2018, 49(5), 949951.

M. Nesterenko, S. Posta, O. Vaneeva,
Realizations of Galilei algebras,
J. Phys. A: Math. Theor., V.49, 115203, 2016, 22 pages.
arXiv:1509.00233

M. Nesterenko, S. Posta
Contraction admissible pairs of complex sixdimensional nilpotent Lie algebras,
Springer Proceedings in Mathematics & Statistics: Lie Theory and Its Applications in Physics,
V.191, 2015, 539549.

M. Nesterenko,
Realizations of 3 and 6dimensional Poincare algebras,
J. Phys.: Conf. Ser. 621, 2015, 012009, 7 pages.

M. Nesterenko,
Sexpansions of threedimensional Lie algebras,
Proceedings of 6th International Workshop ``Group Analysis of Differential Equations and Integrable Systems'', 2013, 147154.
arXiv:1212.1820

M. Nesterenko,
Realizations of Lie Algebras, Physics of Particles and Nuclei Letters 11, No. 7, 2014, 987989.

Nesterenko M., Patera J. and Tereszkiewicz A.,
Orthogonal polynomials of compact simple Lie groups,
International Journal of Mathematics and Mathematical Sciences, 2011, V. 2011, 969424, 23 pages.

Nesterenko M., Patera J., Szajewska M. and Tereszkiewicz A.,
Orthogonal polynomials of compact simple Lie groups: Branching rules for polynomials,
2010, V. 43, 495207, 27 pages. arXiv:1007.4431

Nesterenko M., Patera J. and Tereszkiewicz A.,
Orbit functions of SU(n) and Chebyshev polynomials,
arXiv:0905.2925, 2009, 15 pages.

Larouche M., Nesterenko M. and Patera J.,
Branching rules for the Weyl group orbits of the Lie algebra An, J. Phys. A: Math. Theor., 2009, V. 42, 485203, 15 pages.
arXiv:0909.2337.

Nesterenko M., Patera J.,
Quasicrystal models in cryptography, AIP Conf. Proc., 1191, 2009, 148159.

Nesterenko M., Patera J.,
On orbit functions, their properties and applications, Proceedings of the 4th Workshop "Group Analysis of Differential Equations & Integrable Systems'', 2009, 155163.

Moody R.V., Nesterenko M., and Patera J.,
Computing with almost periodic functions, Acta Crystallographica A, 2008, A64, 654–669,
arXiv:0808.1814v1.

Nesterenko M., Patera J.,
Three dimensional C, S and Etransforms,
J. Phys. A: Math. Theor. 41, No 47, 31pp.,
arXiv:0805.3731v1.

Nesterenko M., Patera J. and Zhavrotskyj D.,
New families of cryptographic systems, arXiv:0710.0021v1, 2007, 14 pages.

Patera J., Nesterenko M.,
Quasicrystals in cryptography,
in Aspects of Networks and Information Security, eds. E. Kranakis, E. Haroutunian, E.Shahbazian, IOS Press, Amsterdam, 2008; pp. 274282.

Gaponova O., Nesterenko M.,
Systems of secondorder ODEs invariant with respect to lowdimensional Lie algebras,
Physics AUC. 2006, V.16, II 238256.

Nesterenko M., Popovych R.,
Contractions of Lowdimensional Lie Algebras, J. Math. Phys. 2006, V.47, 123515,
45 pages, mathph/0608018.

Gaponova O., Nesterenko M.,
Systems of ODEs invariant with respect to lowdimensional Lie algebras,
Collection of Works of Institute of Mathematics, Kyiv, 2006, V.3, N 2, 7191
(in ukrainian), pdf.

Nesterenko M.,
Transformation groups on real plane and their differential invariants,
International Journal of Mathematics and Mathematical Sciences,
vol. 2006, Article ID 17410, 17 pages, 2006, mathph/0512038.

Popovych R., Boyko V., Nesterenko M., Lutfullin M.,
Realizations of Real LowDimensional Lie Algebras, 2005,
mathph/0301029V7, 39 pages (extended and revised version).

Nesterenko M., Popovych R.,
Realizations of real unsolvable lowdimensional Lie algebras,
in Proceedings of the Third Voronoi Conference on Analytic Number Theory and Spatial Tessellations,
Editors H. Syta, A. Yurachkivsky, P. Engel, Kyiv,
Institute of Mathematics, 2005, V.55, Part 3, 163–168
(see mathph/0510015).

Nesterenko M,
Differential Invariants of Transformation Groups on the Real Plane,
in Proceedings of Fifth International Conference ``Symmetry in Nonlinear Mathematical Physics''
(23–29 June, 2003, Kyiv), Institute of Mathematics, 2004, V.50, Part 1, 211–213
(see pdf).

Popovych R., Boyko V., Nesterenko M., Lutfullin M.,
Realizations of Real LowDimensional Lie Algebras,
J. Physics A, 2003, V.36, N 26, 7337–7360.

Nesterenko M., Boyko V.,
Realizations of indecomposable solvable 4dimensional real Lie algebras,
in Proceedings of Fourth International Conference ``Symmetry in Nonlinear Mathematical Physics''
(9–15 July, 2001, Kyiv), Institute of Mathematics, 2002, V.43, Part 2, 474–477.
AWARDS AND FELLOWSHIPS
2014 Award of Presidium of NAS of Ukraine "Talent, inspiration and work".
2012 – 2013 Fellowship of President of Ukraine for young scientists.
2010 – 2011 Fellowship of Presidium of NAS of Ukraine for young scientists.
2010 Prize of president of Ukraine for the cycle of works "Algebraic methods in mathematical physics".
2008 Grant of president of Ukraine for Young Scientists "Conservation laws and exact solutions of multidimensional systems of mathematical physics".
2008 Junior Research Fellowship at the Erwin Schroedinger Institute, Vienna, Austria.
2007 Postdoctoral Fellowship, CRM, University of Montreal, Montreal, Canada.
2006 Grant of president of Ukraine for Young Scientists "Potential, classical and higher symmetries and conservation laws".
2005 – 2007 INTAS Young Scientist Fellowship (Ref. Nr 04833217).
2003 – 2004 Grant for Young Scientists "Algebraic Methods of Mathematical Physics" of presidium of NAS of Ukraine.
OTHER ACTIVITIES
