PROFESSIONAL EXPERIENCE
2006 till now
Junior Researcher at the Department of Applied Research of the Institute of Mathematics of the National Academy of Science of Ukraine, Kyiv, Ukraine
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,
contractions and related problems; group-theoretical analysis of ordinary and partial differential equations.
PUBLICATIONS
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M. Nesterenko and J. Patera
New families of cryptographic systems, in preparation.
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V. Boyko, M. Nesterenko and R. Popovych
Realizations of Poincare Algebras, in preparation.
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J. Patera, M. Nesterenko
Quasicrystals in cryptography,
E. Kranakis, E. Haroutunian and E. Shahbazian, editors,
Aspects of Network and Information Security,
Proceedings of NATO Advanced Studies Institute on Network Security and Intrusion Detection, held in Nork,
Yerevan, Armenia, October 01-12, 2006, IOS Press, 2007, to appear.
-
O. Gaponova, M. Nesterenko
Systems of second-order ODEs invariant with respect to low-dimensional Lie algebras,
Physics AUC. 2006, V.16, II 238-256.
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M. Nesterenko, R. Popovych
Contractions of Low-dimensional Lie Algebras, J. Math. Phys. 2006, V.47, 123515,
45 pages
(see also math-ph/0608018).
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O. Gaponova, M. Nesterenko
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)
(see pdf).
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M. Nesterenko
Transformation groups on real plane and their differential invariants,
International Journal of Mathematics and Mathematical Sciences,
vol. 2006, Article ID 17410, 17 pages, 2006 (see also
math-ph/0512038).
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R.O. Popovych, V.M. Boyko, M.O. Nesterenko, M.W. Lutfullin,
Realizations of Real Low-Dimensional Lie Algebras, 2005,
math-ph/0301029-V7, 39 pages (extended and revised version).
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M.O. Nesterenko and R.O. Popovych,
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, 163168
(see math-ph/0510015).
-
M. Nesterenko
Differential Invariants of Transformation Groups on the Real Plane,
in Proceedings of Fifth International Conference ``Symmetry in Nonlinear Mathematical Physics''
(2329 June, 2003, Kyiv), Institute of Mathematics, 2004, V.50, Part 1, 211213
(see pdf).
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R.O. Popovych, V.M. Boyko, M.O. Nesterenko, M.W. Lutfullin,
Realizations of Real Low-Dimensional Lie Algebras,
J. Physics A, 2003, V.36, N 26, 73377360.
- M. Nesterenko and V. Boyko Realizations of indecomposable solvable 4-dimensional real Lie algebras,
in Proceedings of Fourth International Conference ``Symmetry in Nonlinear Mathematical Physics''
(915 July, 2001, Kyiv), Institute of Mathematics, 2002, V.43, Part 2, 474477.
AWARDS AND FELLOWSHIPS
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 and 7-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.
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