Oksana Kuriksha
Permament address: Petro Mohyla Black Sea State University
Department of Applied and Higher Mathematics
10, 68 Desantnykiv Street
54003 Mykolaiv
UKRAINE
Phone: +380 (512) 76-55-73 (office)
Fax: + 380 (512) 50-00-69 (office)
E-mail: oksana.kuriksha@gmail.com
Date of Birth:     4.05.1980 (Mykolaiv, Ukraine)

 
PROFESSIONAL EXPERIENCE

2013 – till now    Lecturer of Higher Mathematics, Petro Mohyla Black Sea State University

2009 – 2013    Teacher of Higher Mathematics, Petro Mohyla Black Sea State University
2008 – 2009    Junior Researcher at the Department of Applied Research of the Institute of Mathematics of the National Academy of Science of Ukraine, Kyiv, Ukraine
2003 – 2005       Teacher's assistant of Higher Mathematics, Petro Mohyla Mykolaiv State Humanities University
2001 – 2003       Teacher of Mathematics, Mykolaiv, School No. 57

 
EDUCATION

2005 – 2008      Post-graduate study at the Institute of Mathematics, Department of Applied Research, Kyiv (Supervisor Prof. A.G. Nikitin). Ph.D. in Mathematical Physics (2013). Thesis: Group analysis and exact solutions of equations of mathematical physics, invariant with respect to low-dimensional Lie algebras.
2002 – 2003      graduate studies at Mykolaiv State University, Master of Science in Mathematics
1997 – 2002      graduate studies at Mykolaiv State Pedagogical University, Specialist in Mathematics and Economy
1993 – 1997      Mykolaiv School No. 35, class with intensive study of mathematics

FIELD OF RESEARCH

Differential invariants of Lie algebras and invariant differential equations. Symmetry and exact solutions of differential equations.

PUBLICATIONS

  1. O. Vaneeva, O. Kuriksha, C. Sophocleous, Enhanced group classification of Gardner equations with time-dependent coefficients, Commun. Nonlinear Sci. Numer Simulat, 2015, Vol. 22, 1243-1251. arXiv:1407.8488.
  2. O. Kuriksha, S. Posta, O. Vaneeva, Group classification of variable coefficient generalized Kawahara equations, J. Phys. A: Math. Theor. 47 (2014) 045201, arXiv:1309.7161.
  3. O. Kuriksha, S. Posta, O. Vaneeva, Group Analysis of Variable Coefficient Generalized Fifth Order KdV Equations, Physics of Particles and Nuclei Letters, 2014, Vol. 11, No. 7, pp. 990-995, arXiv:1401.7155.
  4. O. Kuriksha, S. Posta, O. Vaneeva, Group Analysis of Generalized Fifth-Order Korteweg–de Vries Equations with Time-Dependent Coefficients, Lie Theory and Its Applications in Physics, Springer Proceedings in Mathematics & Statistics, Volume 111, 2014, pp 311-321, arXiv:1402.0347.
  5. O. Kuriksha, Systems of First-Order Ordinary Differential Equations Invariant with Respect to Linear Realizations of Two- and Three-Dimensional Lie Algebras, Lie Theory and Its Applications in Physics, Springer Proceedings in Mathematics & Statistics, Volume 111, 2014, pp 331-340.
  6. Nikitin A.G., Kuriksha O. Invariant solutions for equations of axion electrodynamics, Commun. Nonlinear Sci. Numer Simulat, 2012, Vol. 17, 4585-4601. arXiv:1002.0064.
  7. Nikitin A.G., Kuriksha O. Symmetries of field equations of axion electrodynamics, Phys. Rev. D. 2012, Vol. 86, No 2, Article ID 025010, 12 pp. arXiv:1201.4935.
  8. Kuriksha O. Symmetries and solutions of field equations of axion electrodynamics, Proceedings of 7th Mathematical Physics Meeting: Summer School and Conference on Modern Mathematical Physics (September 9-19, 2012, Belgrade, Serbia), Editors: B. Dragovich, Z. Rakic, Institute of Physics, Belgrade, Serbia, 2013, 261-269.
  9. Nikitin A.G., Kuriksha O. Group analysis of equations of axion electrodynamics, Proceedings of the 5th International Workshop held in Protaras, Cyprus (June 6-10, 2010), Edited by N.M. Ivanova, P.G.L. Leach, R.O. Popovych, C. Sophocleous and P.A. Damianou, University of Cyprus, Nicosia, 2011, 152-163.
  10. Niederle J., Nikitin A.G., Kuriksha O. Maxwell-Chern-Simons Models: their symmetries, exact solutions and non-relativistic limits, Acta Polytechnica, 2010, Vol. 50, No 3, 96-101.
  11. Kuriksha O. Systems of two first-order ordinary differential equations invariant with respect to linear realizations of Lie algebras, Reports of Acad. Science of Ukraine, 2009, No. 10, 7-14 (in ukrainian).
  12. Kuriksha O. Exact solutions for Frohlich-Peierls Hamiltonian model via reduction method, Proceedings of 5th Mathematical Physics Meeting: Summer School and Conference on Modern Mathematical Physics (July 6-17, 2008, Belgrade, Serbia), Editors: B. Dragovich, Z. Rakic, Institute of Physics, Belgrade, Serbia, 2009, 233-241.
  13. Kuriksha O. Group analysis and exact solutions of Frohlich-Peierls Hamiltonian model, Collection of Works of Institute of Mathematics, Kyiv, 2007, V.4, N 3, 123-135 (in ukrainian).
  14. 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) (see pdf).
  15. 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.

CONFERENCES, SCIENTIFIC SEMINARS AND SCHOOLS


2014 Seventh Workshop "Group Analysis of Differential Equations & Integrable Systems", Larnaca, Cyprus (June 15-19);
2013 International Workshop"Symmetry and Integrability of Equations of Mathematical Physics", Kiev, Ukraine (December 21-24);
2013 The sixth Petrov International Symposium on High Energy Physics, Cosmology and Gravity , Kiev, Ukraine (September 5-8);
2013 International Workshop “Supersymmetries and Quantum Symmetries - SQS'2013”, Dubna, Russia (July 29 - August 3);
2013 X International Workshop “Lie Theory and Its Applications in Physics”, near Varna, Bulgaria (June 17-23);
2012 7th Mathematical Physics Meeting: Summer School and Conference on Modern Mathematical Physics, Institute of Physics, Belgrade, Serbia (September 9-19);
2012 International Mathematical Conference on occasion 70th anniversary of Professor Vladimir V. Kirichenko, Mykolaiv, Ukraine (June 13-19);
2012 International Workshop “Young Women in PDEs” , Bonn, Germany (May 10-12).
2011 International Workshop "Symmetry and Integrability of Equations of Mathematical Physics", Kyiv, Ukraine (December 18-19);
2009 8-th International conference "Symmetry in Nonlinear Mathematical Physics", Institute of Mathematics of NAS of Ukraine Kyiv, Ukraine (June 21-27);
2008 II International School on Modern Trends in Mathematical Physics, Varna, Bulgaria (September 6-11);
2008 5th MATHEMATICAL PHYSICS MEETING: Summer School and Conference on Modern Mathematical Physics, Institute of Physics, Belgrade, Serbia (July 6-17);
2007 7-th International conference "Symmetry in Nonlinear Mathematical Physics", Institute of Mathematics of NAS of Ukraine Kyiv, Ukraine (June 24-30);
2007 Seminar "Mathematical methods in statistical mechanics", in memory of academician D.Ya. Petryna, Institute of Mathematics of NAS of Ukraine Kyiv, Ukraine (June 19-20);
2006 Conference "Symmetry and integration of equations of mathematical physics", Institute of Mathematics of NAS of Ukraine, Kyiv, Ukraine (December 16-18);
2006 Workshop "Ukrainian school of group analysis of differential equations", Poltava, Ukraine (December 5-6);
2003-2014 Regular participant of Science and methodical conference "Mohylianski Chitannya", Petro Mohyla Black Sea State University, Mykolaiv, Ukraine;
2006-2008 Regular research Seminars by the Department of Applied Research of the Institute of Mathematics of NAS of Ukraine, Kyiv, Ukraine.

LANGUAGES

English, Ukrainian and Russian.

AWARDS AND FELLOWSHIPS

2008 Grant of president of Ukraine for Young Scientists "Conservation lows and exact solutions of multidimensional systems of mathematical physics"

OTHER ACTIVITIES