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)
(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
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
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