Maryna Nesterenko
Permament   address: National Academy of Sciences of Ukraine
Institute of Mathematics
Department of Mathematical Physics
3 Tereshchenkivs'ka Street
01004 Kyiv UKRAINE
 
Phone: +380 (44) 234 63 22 (office)
Fax: +380 (44) 235 20 10 (office)
E-mail: maryna@imath.kiev.ua
    

 
PROFESSIONAL EXPERIENCE

2022 – till now   Leading Researcher at the Department of Mathematical Physics of the Institute of Mathematics of the National Academy of Science of Ukraine,
                          Kyiv, Ukraine.
2006 – 2021      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.

 
ACADEMIC DEGREES

Dr.Sc. in Mathematical Physics (analogue of Dr. Habilitat), Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv, Ukraine (2021) Dr.Sc. thesis: Realizations and contractions of Lie algebras, orbit-functions and quasicrystals (Consultant: Prof. V.M. Boyko).
Ph.D. in Mathematical Physics, Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv, Ukraine (2007) Ph.D. thesis: Contractions and realizations of Lie algebras (Supervisors: Prof. A.G. Nikitin, Prof. R.O. Popovych).
M.Sc. in Maths: Department of Mechanics and Mathematics of Taras Shevchenko National University of Kyiv, Ukraine (2002). Master thesis: Realizations and invariants of low-dimensional Lie algebras (Supervisors: Prof. A.G. Nikitin, Prof. V.M. Boyko).

 
EDUCATION

2002 – 2006      Post-graduate study at the Department of Applied Research of Institute of Mathematics of NAS of Ukraine;
1997 – 2002      graduate studies at Department of Mechanics and Mathematics, Taras Shevchenko National University of Kyiv.

FIELD OF RESEARCH

Theory of Lie algebras: their realizations, contractions and related problems; algebraic invariants, differential invariants and differential equations; orbit-functions, quasicrystals and their applications.

Scholar Google Reseach Profile    ORCID    MR Author ID    Web of Science ResearcherID    zb MATH    Scopus

PUBLICATIONS

  1. M. Nesterenko, Special Exponential Functions on Lattices of Simple Lie Algebras and the Allotropic Modifications of Carbon, Ukrainian Mathematical Journal, 2022, 74 (3), 395-405.
  2. M. Nesterenko, S. Posta, Contractions of Realizations, Lie Theory and Its Applications in Physics: Varna, Bulgaria, June 2019, 2020, 447-453.
  3. M. Nesterenko, S. Posta, Discrete analysis on non-cubic lattices Journal of Physics: Conference Series, 2019, 1416 (1), 012024.
  4. M. Myronova, M. Nesterenko, Generic realizations of conformal and de Sitter algebras, Çá³ðíèê Ïðàöü ²íñòèòóòó ìàòåìàòèêè ÍÀÍ Óêðà¿íè, 2019, 16 (1), 100-112.
  5. M. Nesterenko, S. Posta, Comparison of realizations of Lie algebras, Journal of Physics Conference Series, 2018, 965(1): 012028, 6 pages.
  6. 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, 421-427.
  7. M. Nesterenko, S. Posta, Differential Invariants and Realizations of the Deformed Smallest Galilei Algebra, Physics of Particles and Nuclei, 2018, 49(5), 949-951.
  8. M. Nesterenko, S. Posta, O. Vaneeva, Realizations of Galilei algebras, J. Phys. A: Math. Theor., V.49, 115203, 2016, 22 pages. arXiv:1509.00233
  9. M. Nesterenko, S. Posta Contraction admissible pairs of complex six-dimensional nilpotent Lie algebras, Springer Proceedings in Mathematics & Statistics: Lie Theory and Its Applications in Physics, V.191, 2015, 539-549.
  10. M. Nesterenko, Realizations of 3- and 6-dimensional Poincare algebras, J. Phys.: Conf. Ser. 621, 2015, 012009, 7 pages.
  11. M. Nesterenko, S-expansions of three-dimensional Lie algebras, Proceedings of 6th International Workshop "Group Analysis of Differential Equations and Integrable Systems", 2013, 147-154. arXiv:1212.1820
  12. M. Nesterenko, Realizations of Lie Algebras, Physics of Particles and Nuclei Letters 11, No. 7, 2014, 987-989.
  13. 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.
  14. 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
  15. Nesterenko M., Patera J. and Tereszkiewicz A., Orbit functions of SU(n) and Chebyshev polynomials, arXiv:0905.2925, 2009, 15 pages.
  16. 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.
  17. Nesterenko M., Patera J., Quasicrystal models in cryptography, AIP Conf. Proc., 1191, 2009, 148-159.
  18. Nesterenko M., Patera J., On orbit functions, their properties and applications, Proceedings of the 4th Workshop "Group Analysis of Differential Equations & Integrable Systems", 2009, 155-163.
  19. Moody R.V., Nesterenko M., and Patera J., Computing with almost periodic functions, Acta Crystallographica A, 2008, A64, 654–669, arXiv:0808.1814v1.
  20. Nesterenko M., Patera J., Three dimensional C-, S- and E-transforms, J. Phys. A: Math. Theor. 41, No 47, 31pp., arXiv:0805.3731v1.
  21. Nesterenko M., Patera J. and Zhavrotskyj D., New families of cryptographic systems, arXiv:0710.0021v1, 2007, 14 pages.
  22. 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. 274-282.
  23. Gaponova O., Nesterenko M., Systems of second-order ODEs invariant with respect to low-dimensional Lie algebras, Physics AUC. 2006, V.16, II 238-256.
  24. Nesterenko M., Popovych R., Contractions of Low-dimensional Lie Algebras, J. Math. Phys. 2006, V.47, 123515, 45 pages, math-ph/0608018.
  25. Gaponova O., Nesterenko M., Systems of ODEs invariant with respect to low-dimensional Lie algebras, Collection of Works of Institute of Mathematics, Kyiv, 2006, V.3, N 2, 71-91 (in ukrainian), pdf.
  26. 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, math-ph/0512038.
  27. Popovych R., Boyko V., Nesterenko M., Lutfullin M., Realizations of Real Low-Dimensional Lie Algebras, 2005, math-ph/0301029-V7, 39 pages (extended and revised version).
  28. Nesterenko M., Popovych R., Realizations of real unsolvable low-dimensional 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 math-ph/0510015).
  29. 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).
  30. Popovych R., Boyko V., Nesterenko M., Lutfullin M., Realizations of Real Low-Dimensional Lie Algebras, J. Physics A, 2003, V.36, N 26, 7337–7360.
  31. Nesterenko M., Boyko V., Realizations of indecomposable solvable 4-dimensional 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

2020 Regional award "For Women in Science", L’Oreal & UNESCO.
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 04-83-3217).
2003 – 2004 Grant for Young Scientists "Algebraic Methods of Mathematical Physics" of presidium of NAS of Ukraine.

OTHER ACTIVITIES