Maryna Nesterenko

 
PROFESSIONAL EXPERIENCE

2009 – till now   Researcher at the Department of Applied Research of the Institute of Mathematics of the National Academy of Science of Ukraine, Kyiv, Ukraine
2006 – 2008     Junior Researcher at the Department of Applied Research of the Institute of Mathematics of the NAS 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      Post-graduate study at the Department of Applied Research of Institute of Mathematics of NAS of Ukraine (Supervisor Prof. A.G. Nikitin); Ph.D. in Mathematical Physics (2007). Thesis "Contractions and realizations of Lie algebras".
1997 – 2002      graduate studies at Department of Mechanics and Mathematics, Kyiv National Taras Shevchenko University, M.Sc. in Maths: Department of Mechanics and Mathematics (2002). Thesis "Realizations and invariants of low-dimensional Lie algebras".

FIELD OF RESEARCH

Theory of Lie algebras: their realizations, algebraic invariants, differential invariants and contractions. Orbit functions; quasicrystals and almostperiodic functions.

PUBLICATIONS

1. Nesterenko M., Patera J. and Tereszkiewicz A., Orthogonal polynomials of compact simple Lie groups, arXiv:1001.3683, 2010, 28 pages.
2. Nesterenko M., Patera J. and Tereszkiewicz A., Orbit functions of SU(n) and Chebyshev polynomials, arXiv:0905.2925, 2009, 15 pages.
3. 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.
4. Nesterenko M., Patera J., Quasicrystal models in cryptography, AIP Conf. Proc., 1191, 2009, 148-159.
5. 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.
6. Moody R.V., Nesterenko M., and Patera J., Ñomputing with almost periodic functions, Acta Crystallographica A, 2008, A64, 654–669, arXiv:0808.1814v1.
7. Nesterenko M., Patera J., Three dimensional C-, S- and E-transforms, J. Phys. A: Math. Theor. 41, No 47, 31pp., arXiv:0805.3731v1.
8. Nesterenko M., Patera J. and Zhavrotskyj D., New families of cryptographic systems, arXiv:0710.0021v1, 2007, 14 pages.
9. 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.
10. 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.
11. Nesterenko M., Popovych R., Contractions of Low-dimensional Lie Algebras, J. Math. Phys. 2006, V.47, 123515, 45 pages, math-ph/0608018.
12. 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.
13. 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.
14. 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).
15. 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).
16. 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).
17. 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.
18. 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

2010 – 2011 Fellowship of Presidium of NAS of Ukraine for young scientists.
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.
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

• Organization of the 4-th, 5-th, 6-th, 7-th and 8-th International Conferences Symmetry in Nonlinear Mathematical Physics.
• Reviewer of the Mathematical Zenterblatt.
• Referee of J. Phys. A: Math. Theor. and Symmetry, Integrability and Geometry: Methods and Applications.
• Copy-Editor of Proceedings of NAS of Ukraine 2005-2006.