Nataliya Ivanova

Date of Birth: March 9, 1979
Permanent Address   Department of Applied Research
Institute of Mathematics
of the National Academy
of Sciences of Ukraine,
3 Tereshchenkivska Street,
01601 Kyiv-4, UKRAINE
Phone:   380 44 234 6322
Fax:   380 44 235 2010
E-Mail:   ivanova@imath.kiev.ua
Current Address:
Department of Mathematics and Statistics
University of Cyprus,
P.O.Box 20537, 1678 Nicosia, CYPRUS
Phone:   +357 22 892629
Fax:   +357 22 892601

PROFESSIONAL EXPERIENCE

2009 – 2011 Visiting Scientist at the Department of Mathematics and Statistics of the University of Cyprus, Nicosia, Cyprus
2008 – till now Senior Researcher at the Department of Applied Research of the Institute of Mathematics of the National Academy of Science of Ukraine, Kyiv, Ukraine
2007 – 2008 Scientific Researcher at the Department of Applied Research of the Institute of Mathematics of the National Academy of Science of Ukraine, Kyiv, Ukraine
2006 Junior Fellow at the Erwin Schrodinger International Institute for Mathematical Physics, Vienna, Austria
2005 – 2006 Postdoctoral Fellow at the Department of Mathematics of the University of British Columbia , Vancouver, Canada
2004 – 2007 Junior Researcher at the Department of Applied Research of the Institute of Mathematics of the National Academy of Science of Ukraine, Kyiv, Ukraine

EDUCATION

Post-graduate study at the Department of Applied Research of the Institute of Mathematics of the National Academy of Scieces of Ukraine (2001 – 2004)
Supervisor: Professor A.G. Nikitin

Kyiv National Taras Shevchenko University, Department of Mechanics and Mathematics (1996 – 2001) (University Degree with Distinction)

Novograd-Volynsky High School no. 7 (1989 – 1996) (High School Diploma with Distinction)

FIELD OF RESEARCH

Integrable systems, conservation laws of nonlinear differential equations, symmetry analysis of nonlinear differential equations, local and nonlocal invariance and equivalence transformations

ACADEMIC DEGREES

Ph.D. in Mathematical Physics (2005)
Ph.D. thesis: "Classification problems for diffusion-convection and Schroedinger equations"
Thesis supervisor: Professor A.G. Nikitin
Please download my thesis (in Ukrainian).

Master Sc. in Mathematics, Kyiv National Taras Shevchenko University (2001)
Master thesis: "Group classification of the nonlinear Shroedinger equations"
Supervisor: Professor A.G. Nikitin

Bachelor Sc. in Mathematics, Kyiv National Taras Shevchenko University (2000)
Bachelor thesis: "Integral transformations for boundary value problems"
Supervisor: Dr. A.V. Loveykin

TEACHING ACTIVITY

2005 – 2006 Instructor, Department of Mathematics, University of British Columbia , Vancouver, Canada
2002 – 2003 Assistant of Department of Mathematics, National Aviation University, Kyiv, Ukraine
2001 – 2002 Assistant of Department of Mathematics, Polytechnical Lyceum of the National Technical University of Ukraine "KPI"
2001 Teacher of Mathematics, School N 87, Kyiv

OTHER ACTIVITIES

Organization of the 1st-4th International Workshops Group Analysis of Differential Equations and Integrable Systems (Larnaca, Cyprus, 2005, 2006, 2007; Protaras, Cyprus, 2008)

Organization of the 4th-7th International Conferences Symmetry in Nonlinear Mathematical Physics (Kyiv, Ukraine, 2001, 2003, 2005, 2007)

The detailed CV see here

PRIZES AND AWARDS

2008 Prize of Verhovna Rada (Parliament of Ukraine) for the most talented young scientists in the area of fundamental and applied research
2008 – 2009 Scolarship of the President of Ukraine for young scientists
2008 Grant of the President of Ukraine for young scientists
2006 – 2008 Scholarship of Presidium of NAS of Ukraine for young scientists
2006 Junior Fellowship, The Erwin Schrodinger International Institute for Mathematical Physics, Vienna, Austria
2006 Grant of the President of Ukraine for young scientists
2005 – 2006 Postdoctoral Fellowship, University of British Columbia , Vancouver, Canada
2003 – 2004 Grant of Presidium of NAS of Ukraine for young scientists

SELECTED PUBLICATIONS

  • Ivanova N.M., Potential systems for PDEs having several conservation laws, Journal of Engineering Mathematics, 2009, in press (arXiv:0812.3104).
  • Ivanova N.M., Exact solutions of diffusion-convection equations, Dynamics of PDEs, 2008, V.5, 139-171 (arXiv:0710.4000).
  • Ivanova N.M. and Sophocleous C., Conservation laws and potential symmetries of systems of diffusion equations, J. Phys. A, 2008, V.41, 235201 (14pp).
  • Huang D.-j. and Ivanova N.M. Group analysis and exact solutions of a class of variable coefficient nonlinear telegraph equations, J. Math. Phys., 2007, V.48, 073507 (math-ph/0702072).
  • Ivanova N.M. Conservation laws of multidimensional diffusion-convection equations, Nonlinear Dynamics, 2007, V.49, 71-81 (math-ph/0604057).
  • Anco S.C. and Ivanova N.M. Conservation laws and symmetries of semilinear radial wave equations, J. Math. Anal. Appl., 2007, V.332, 863-876. (math-ph/0608037).
  • Popovych R.O., Vaneeva O.O. and Ivanova N.M. Potential nonclassical symmetries and solutions of fast diffusion equation, Physics Letters A, 2007, V.362, 166-173 (math-ph/0506067).
  • Bluman G., Cheviakov A.F. and Ivanova N.M. Framework for nonlocally related partial differential equation systems and nonlocal symmetries: Extension, simplification, and examples, J. Math. Phys., 2006, V.47, 113505, 23 p.
  • Ivanova N.M. and Sophocleous C. On the group classification of variable-coefficient nonlinear diffusion–convection equations, J. Comp. Appl. Math., 2006, V.197, 322-344.
  • Popovych R.O. and Ivanova N.M. Hierarchy of conservation laws of diffusion-convection equations, J. Math. Phys., 2005, V.46, 043502 (22 pages). (math-ph/0407008).
  • Popovych R.O. and Ivanova N.M. Potential equivalence transformations for nonlinear diffusion-convection equations, J. Phys. A: Math. Gen., 2005, V.38, N 14, 3145-3155. (math-ph/0402066).
  • Popovych R.O., Ivanova N.M. and Eshraghi H. Group classification of (1+1)-dimensional Schrodinger equations with potentials and power nonlinearities, J. Math. Phys., 2004, V.45 no.8, 3049-3057. (math-ph/0311039).
  • Popovych R.O. and Ivanova N.M. New results on group classification of nonlinear diffusion-convection equations, J. Phys. A: Math. Gen., 2004, V.37, 7547-7565. (math-ph/0306035).

    • The complete list of publications see here.