Prykarpatskyy Yarema

Prykarpatskyy Yarema



Education

    (1991-1996) - Department of Theoretical Physics at the L’viv State University (now Lviv National University), Master degree (with Diploma of Honor), (1996), L’viv, Ukraine

    (1996-1997) - Dept. of Computer Science in Physics at the Inst.of Physics of Polish Academy of Sciences, 34 Lotnikow Al., Warsaw, Poland (Research Fellowship)

    (1996-1998) - Department of functional analysis at the Institute for Applied Problems of Mathematics and Mechanics of NAS of Ukraine, 3B Naukova Str., 79601 L’viv, Ukraine (Ph.D. student)

    (1998-1999) - Department of Differential Equations and Oscillation Theory at the Institute of Mathematics of National Acad. of Sciences of Ukraine, 3 Tereshchenkivska str., Kyiv, 01601, Ukraine (Ph.D student), Ph.D. in mathematical physics (June, 1999)

    Dissertations

      Ph.D., Dept. of Differential Equations and Oscillation Theory, Institute of Mathematics NAS of Ukraine, Kyiv, Ukraine, June 1999
      Ph.D. thesis: Symplectic Analysis of Integral Manifolds of the Completely Integrable Hamiltonian Systems and Their Adiabatic Perturbations
      Minor: Mathematical Physics
      Advisor: Prof. Anatoliy Samoilenko

      M.S., Dept. of Theoretical Physics, Diploma of Honor, Lviv National University, Lviv, Ukraine, June 1996
      Diploma thesis: Estimation of structural factors of classic systems of interacting particles

      Research interests

        Dynamical systems theory on manifolds, integrable dynamical systems, Hamiltonian mechanics, spectral theory and its applications, operator quantization theory, algebraic statistical physics, bifurcations theory and chaotic motion, symmetry, Lie-algebraic and differential geometric integrability theory, perturbation theory, adiabatic invariants etc., computational physics, mathematical modeling

        Talks on conferences

          2019 - Dynamics, Geometry and Analysis: 20 years of Mathematical Institute in Opava, 8-13 September 2019, Hradec nad Moravici, Czech Republic

          2017 - Llavefest: A broad perspective on finite and infinite dimensional dynamical systems, June 12-16, Barcelona, Spain

          2015 - ICDDEA 2015, International Conference on Differential \& Difference Equations and Applications, May 18 - 22, Amadora, Portugalia

          2012 - 4-th Conference on Statistical Physics: Modern Trends and Applications, July 3-6, Lviv, Ukraine

          2012 - 6th European Congress of Mathematics, July 2-7, Krakow, Poland

          2009 - Equadiff 12, July 20-24, 2009, Brno, Czech Republic

          2008 - Modern Problems of Applied Mathematics and Informatics, September 23-25, Lviv, Ukraine

          2006 - 77th Annual Meeting of the Gesellschaft fur Angewandte Mathematik und Mechanik e.V., March 27th - 31st, Technische Universitat Berlin

          2005 - Symmetry in Nonlinear Mathematical Physics, 20-26 June, Kyiv, Ukraine

          2003 - High-power Targetry for Future Accelerators, 8-12 September, Ronkonkoma, NY, USA

          2003 - Muon Collaboration Meeting, Columbia University, 11-12 June, NY, USA

          2001 - 2nd European Conference in School Format "Vortex Matter in Superconductors", 15-25 September, Crete, Greece

          2001 - Multi-hamiltonian structures: geometric and algebraic aspects, 9-17 August, The Mathematical Conference Center, B{\eob}dlewo, Poland

          2001 - The 33rd Symposium on Mathematical Physics with special session ''Nonholonomic Systems and Contact Structures'', June 5-9, 2001, Toru\'{n}, Poland

          2001 - The Twelfth Scientific Session of Taras Shevchenko Scientific Society, Mathematical Commision, 16-17 March, L'viv, Ukraine

          2000 - The Eleventh International Colloquium on Differential Equations, 18-23 August, Plovdiv, Bulgaria

          1999- 38th Session of the Seminair\'e de Math\'ematiques Sup\'erieures, "Integrable Systems: from Classical to Quantum", 26 July-6 August, Montreal,
          Canada

          1999- CIME Summer School "Theory and Applications of Hamiltonian Dynamics", 27 June- 8 July, Cetraro, Italy

          1998- International Science Seminar on Analitical and Quantitive Methods in Differential Equations Theory, October 18-23, Uzhgorod, Ukraine

          1998- The 30th Symposium on Mathematical Physics with Special session: "Dynamical Systems: From Integrability to Chaos", May 26-30, Torun, Poland

          1997- CMS Winter Meeting, December 18-29, Montreal, Canada

          1997- 18th Symposium on Plasma Physics and Technology, June 17-20, Prague, Czech republics

          1996- EUROMECH, 2nd European Nonlinear Oscillations Conference, September 9-13, Prague, Czech Republic

          1996- Science conference on Problems of Nonlinear Analysis, September 24-27, Ivano-Frankivsk, Ukraine

          1995- First Non-Ortodox School on Nonlinearity and Geometry (Luigi Bianchi Days) September 21-28, Warsaw, Poland
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