Popovych Roman O.

Popovych Roman O.



Education

    Faculty of Mechanics and Mathematics, T.G. Shevchenko State University of Kyiv, 1984–1989

    Dissertations

      Symmetry reduction and exact solutions of Navier–Stokes equations, C.Sc. thesis, Institute of Mathematics of NAS of Ukraine, Kyiv, 1992.

      Classification problems of group analysis of sifferential equations, D.Sc. thesis, Institute of Mathematics of NAS of Ukraine, Kyiv, 2009.

      Research interests

        Symmetry analysis of differential equations and iys applications, Lie algebras, physics-informed neural networks

        Experience

          1992–till now
          Junior Researcher, Researcher, Senior Researcher, Leading Researcher at the Department of Mathematical Physics (former Department of Applied Research), Institute of Mathematics, NAS of Ukraine, Kyiv
          2018–till now
          Senior Postdoc, Stand-alone project P30233 of FWF, Faculty of Mathematics, University of Vienna
          2019
          Postdoc, Stand-alone project P29177 of FWF, Faculty of Mathematics, University of Vienna
          2013–2018
          Principal investigator, Stand-alone project P25064 of FWF, Wolfgang Pauli Institute, Vienna
          2008–2013
          Principal investigator, Stand-alone project P20632 of FWF, Faculty of Mathematics, University of Vienna, and Wolfgang Pauli Institute, Vienna
          2006–2008
          Principal investigator, Lise Meitner project of FWF, Faculty of Mathematics, University of Vienna
          1989–1992
          PhD Student, Institute of Mathematics, Kyiv

          Talks on conferences

            International Workshop Series ''Symmetries and integrability of equations of mathematical physics''
            (18–19 December 2011; 21–24 December 2013; 27 December 2015; 17–20 December 2016; 22–23 December 2018; 17–18 December 2021; Kyiv, Ukraine)

            BIRS Workshop on Moving Frames and their Modern Applications
            (21–26 November 2021, Banff International Research Station, Canada)

            Conference ''Dynamics, Geometry and Analysis: 20 years of Mathematical Institute in Opava'' (8–13 September 2019, Hradec nad Moravicí, Czech Republic)

            International Workshop Series ''Group Analysis of Differential Equations and Integrable Systems'' (27 October 2005, 25–28 September 2006, 4–5 October 2007, Nicosia, Cyprus; 26–30 October 2008, 6–10 June 2010, 17–21 June 2012, Protaras, Cyprus; 15–19 June 2014, 12–17 June 2016, 10–14 June 2018, Larnaka, Cyprus)

            International Workshop ''A Century of Noether's Theorem and Beyond'' (30 November — 2 December 2018, Opava, Czech Republic)

            ''Workshop on Integrable Nonlinear Equations'' (18–24 October 2015, Mikulov, Czech Republic)

            ''2012 Canadian Mathematical Society (CMS) Winter Meeting, Session ''Symmetries of Differential and Difference Equations'' (8–9 December 2012, Montréal, Canada)

            11th and 12th Conferences ''Mathematics in Technical and Natural Sciences'' (8–12 September 2010 and 4–10 September 2011, Krynica, Poland)

            International Conference Series ''Symmetry in Nonlinear Mathematical Physics'' (3–8 July 1995; 7–13 July 1997; 12–18 July 1999; 9–15 July 2001; 23–29 June 2003; 20–26 June 2005; 24–30 June 2007; 21–27 June 2009; Kyiv, Ukraine)

            Applications of Computer Algebra (ACA2008), the session Symbolic Symmetry Analysis and Its Applications (27–30 July 2008, RISC, Castle of Hagenberg, Austria)

            MM-VII Symmetries and Mechanics Conference (24–27 September 2007, Novi Sad, Serbia)

            Fifth International School and Workshop "QFT and Hamiltonian Systems" (20–26 May 2006, Calimanesti, Romania)

            IV International Symposium Quantum Theory and Symmetries (15–21 August 2005, Varna, Bulgaria)

            International Workshop on Nonlinear Partial Differential Equations (5–16 December 2004, Tehran, Iran)

            International Conference in Modern Group Analysis (MOGRAN X) (24–31 October 2004, Larnaca, Cyprus)

            11th Regional Conference on Mathematical Physics and Mathematics (3–6 May 2004, Tehran, Iran)

            NATO ASI 2003 "Data Fusion for Situation Monitoring, Incident Detection, Alert and Response Management" (18–29 August 2003, Tsakhkadzor, Armenia)

            10th International Conference on Symmetry Methods in Physics (13–19 August 2003, Yerevan, Armenia)

            Miscellaneous

              Awards and Grants
              Stand-alone project P25064 of FWF (2013)
              Stand-alone project P20632 of FWF (2008)
              Lise Meitner project M923-N13 of FWF (2005)
              Prize of President of Ukraine for Young Scientists (2001)

              Former D.Sc. Candidates

              Olena Vaneeva,
              thesis: "Equivalence groupoids in group classification problems" (2020),
              Institute of Mathematics, NAS of Ukraine, Kyiv

              Vyacheslav Boyko,
              thesis: "Generalized Casimir operators, singular reduction modules and symmetries of differential equations" (2018),
              Institute of Mathematics, NAS of Ukraine, Kyiv

              Former PhD Students

              Stanislav Opanasenko,
              thesis: "Generalized equivalence groups and extended symmetry analysis of differential equations" (2020),
              Institute of Mathematics, NAS of Ukraine, Kyiv

              Célestin Kurujyibwami (jointly with Prof. P. Basarab-Horwath),
              thesis: Admissible transformations and the group classification of Schrödinger equations,
              Doctoral Thesis, Linköping Studies in Science and Technology. Dissertation No. 1846, Linköping University, 2017.

              Oleksandr Pocheketa,
              thesis: "Extended group analysis of generalized Burgers equations" (2016),
              Institute of Mathematics, NAS of Ukraine, Kyiv

              Elsa Maria Dos Santos Cardoso-Bihlo,
              thesis: "Group analysis and invariant parameterization in dynamic meteorology" (2014), University of Vienna

              Alexander Bihlo (jointly with Prof. M. Hantel),
              thesis: "Symmetry methods in the atmospheric sciences" (2010),
              University of Vienna

              Olena Vaneeva,
              thesis: "Group classification and nonclassical symmetries of reaction–diffusion equations" (2008),
              Institute of Mathematics, NAS of Ukraine, Kyiv

              Maryna Nesterenko (jointly with Prof. A.G. Nikitin),
              thesis: "Contractions and realizations of Lie algebras" (2007),
              Institute of Mathematics, NAS of Ukraine, Kyiv

              Maxim Lutfullin (jointly with Prof. A.G. Nikitin),
              thesis: "Realizations of low-dimensional Lie algebras and invariant systems of nonlinear differential equations" (2005),
              Institute of Mathematics, NAS of Ukraine, Kyiv

              Former Master Students

              Célestin Kurujyibwami (jointly with Prof. P. Basarab-Horwath),
              thesis: "Group classification of linear Schrödinger equations by the algebraic method",
              Licentiate Thesis, Linköping Studies in Science and Technology. Thesis No. 1743, Linköping University, 2016.


              Editorial Boards and Organizing Committees

              Associate Editor of the Journal of Mathematical Analysis and Applications (2009-till now)

              Associate Editor of the refereed online journal SIGMA ''Symmetry, Integrability and Geometry: Methods and Applications'' (2005-till now)

              Member of Local Organizing Committee of the International Conference Series

              ''Symmetry in Nonlinear Mathematical Physics'' (1995, 1997, 1999, 2001, 2003, 2005, 2007, 2009, Kyiv, Ukraine)

              Member of Organizing Committee of the International Workshop Series ''Group Analysis of Differential Equations and Integrable Systems'' (2005, 2006, 2007, 2008, 2010, 2012, 2014, 2016, 2018, Cyprus)

              Member of Scientific Committee of the International Workshop ''A Century of Noether's Theorem and Beyond'' (30 November – 2 December 2018, Opava, Czech Republic)

              Member of Scientific Committee of the 11th and 12th Conferences ''Mathematics in Technical and Natural Sciences'' (8–12 September 2010 and 4–10 September 2011, Krynica, Poland)

              Member of Organizing Committee of the International Workshop ''Symmetries and integrability of equations of mathematical physics'' in honor of Professor Wilhelm Fushchych (18–19 December 2011, Kyiv, Ukraine)

              Member of Scientific Committee of the Fifth International School and Workshop "QFT and Hamiltonian Systems" (20–26 May 2006, Calimanesti, Romania)

              Editorial Activities

              1. Boyko V.M., Vaneeva O.O., Nesterenko M.O., Nikitin A.G. and Popovych R.O. (Eds.), Symmetry and Integrability of Equations of Mathematical Physics, Collection of Works of Institute of Mathematics, Kyiv, 16 (2019), no. 1, 204 pp.

              2. Vaneeva O.O., Sophocleous C., Popovych R.O., Boyko V.M. and Damianou P.A. (Eds.), Seventh International Workshop: Group Analysis of Differential Equations and Integrable Systems (GADEIS VII) 15–19 June 2014, Larnaca, Cyprus, J. Phys.: Conf. Ser. 621 (2015).

              3. Maharaj S.D., Moyo S., Popovych R. (Eds.), Special issue on the tercentenary of the Laplace–Runge–Lenz vector, J. Engrg. Math. 82 (2013) issue 1.

              4. Vaneeva O.O., Sophocleous C., Popovych R.O., Leach P.G.L., Boyko V.M. and Damianou P.A. (Eds.), Proceedings of the Sixth International Workshop "Group Analysis of Differential Equations and Integrable Systems" (Protaras, Cyprus, June 17–21, 2012), University of Cyprus, Nicosia, 2013, 248 pp.

              5. N.M. Ivanova, Leach P.G.L., Popovych R.O., Sophocleous C. and Damianou P.A. (Editors), Proceedings of Fifth Workshop "Group Analysis of Differential Equations and Integrable Systems" (Protaras, Cyprus, June 6–10, 2010), University of Cyprus, Nicosia, 2011, 240 pp.

              6. Ivanova N.M., Popovych R.O., Sophocleous C., Damianou P. and Nikitin A.G. (Editors), Proceedings of Fourth Workshop "Group Analysis of Differential Equations and Integrable Systems" (Protaras, Cyprus, October 26–30, 2008), University of Cyprus, Nicosia, 2009, 256 pp.

              7. Boyko V.M., Nikitin A.G. and Popovych R.O. (Editors), Symmetry and Integrability of Equations of Mathematical Physics (Dedicated to the 70-th Anniversary of Professor W.I. Fushchych), Collection of Works of Institute of Mathematics, Kyiv 3 (2006), no. 2, 400 pp.

              8. Boyko V.M., Gorbachuk M.L., Lukovs'kyi I.O., Nikitin A.G., Popovych R.O., Samoilenko A.M. (Editors), W.I. Fushchych, Selected Works, Kyiv, Naukova Dumka, 2005, 448 pp.

              9. Nikitin A.G., Boyko V.M., Popovych R.O. and Yehorchenko I.A. (Editors), Proceedings of Fifth International Conference ''Symmetry in Nonlinear Mathematical Physics'' (23–29 June, 2003, Kyiv), Proceedings of Institute of Mathematics, Kyiv 50 (2004), Parts 1–3, 1528 pp.

              10. Nikitin A.G., Boyko V.M. and Popovych R.O. (Editors), Proceedings of Fourth International Conference ''Symmetry in Nonlinear Mathematical Physics'' (9–15 July, 2001, Kyiv), Proceedings of Institute of Mathematics, Kyiv 43 (2002), Parts 1–2, 784 pp.

              11. Boyko V.M., Lykova O.B., Popovych R.O. and Pustovoitov M.O. (Editors), Outlines of History of Mathematics and Mathematical Sciences (on the Occasion of Ninetieth Birthday of O.M. Bogolyubov), Proceedings of Institute of Mathematics, Kyiv 39 (2001), 160 pp.

              12. Boyko V.M., Nikitin A.G. and Popovych R.O. (Editors), Group and Analytic Methods in Mathematical Physics, Proceedings of Institute of Mathematics, Kyiv 36 (2001), 324 pp. You can download pdf (1.63 Mb) or pdf-booklet (1.53 Mb).

              13. Bogolyubov O.M., Popovych R.O. and Pustovoitov M.O. (Editors), Mathematics and the Mathematical Sciences in Ukraine in the Twentieth Century (Proceedings of the International Summer Scientific School held in Kam'yanets'-Podil's'kii, July 1–7, 1999), Proceedings of Institute of Mathematics, Kyiv 34 (2001), 240 pp.

              14. Vasilenko O.F., Popovych G.V. and Vertsanova E.V., Handbook on solving problems of mathematical programming (Editor: Popovych R.O.), Kyiv, MAUP, 1999, 200 pp.

              15. Nikitin A.G., Lopatin O.K., Boyko V.M., Zhdanov R.Z., Popovych R.O. and Cherniha R.M. (Editors), Symmetry and Analytic Methods in Mathematical Physics, Proceedings of Institute of Mathematics, Kyiv 19 (1998), 280 pp. You can download pdf (1.35 Mb) or pdf-booklet (1.27 Mb).

              16. Bogolyubov O.M., Vyvrot T.M., Koshlyakov V.M., Pustovoitov M.O. and Popovych R.O. (Editors), The Institute of Mathematics. Outlines of Its Development, Proceedings of Institute of Mathematics, Kyiv 17 (1997), 248 pp.

              Invited Scientific Visits

              Mathematical Institute in Opava, Silesian University in Opava (Opava, Czech Republic, 6–20 October 2014; 11–22 May 2015; 1 November 2016 – 31 March 2017; 2 September 2018 – 28 February 2019; 13–14 November 2019)

              Department of Mathematics and Statistics, University of Cyprus (Nicosia, Cyprus, 2004, 2005, 2006, 2007, 2008, 2010; 29 September – 15 October 2013; 24 September – 11 October 2015; 13–23 October 2016; 5–26 October 2017; 23 September – 16 October 2019)

              Abdus Salam International Centre for Theoretical Physics (ICTP) (Trieste, Italy, 17–28 April 2019)

              Department of Mathematics and Statistics, Memorial University (St. John's, Canada, 6–27 September 2016; 31 August – 28 September 2017)

              Department of Mathematics, Linköping University, (Linköping, Sweden, 3–29 November 2013; 21–27 February 2016; 28 May – 4 June 2017)

              Faculty of Applied Mathematics, AGH University of Science and Technology (Krakow, Poland, 6–9 April 2017)

              Department of Mathematics and Statistics, University of Saskatchewan (Saskatoon, Canada, 10–15 June 2013; 2–16 November 2014; 2–17 September 2015)

              Department of Mathematics and Statistics, McGill University (Montréal, Canada, 23–29 April 2013)

              Faculty of Engineering, Katholieke Universiteit Leuven, Campus Kortrijk (Belgium, Kortrijk, 28 May – 1 June 2012)

              Centre de Recherches Mathématiques, Universite de Montréal (Montréal, Canada, 2004)

              Institute for Studies in Theoretical Physics and Mathematics (IPM) (Tehran, Iran, 6 September – 22 October, 2003; 26 April – 24 May 2004)

              Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research (Dubna, Russia, 2003)


              Selected invited seminar talks

              1. Conditional symmetries of linear partial differential equations with two independent variables,
                14 November 2019, Seminar on differential geometry and its applications, Mathematical Institute in Opava, Silesian University in Opava (Opava, Czech Republic)

              2. Computation of contractions of Lie algebras,
                18 April 2019, Mathematics Seminar Afternoon, Abdus Salam International Centre for Theoretical Physics (ICTP) (Trieste, Italy)

              3. Equivalence groups and equivalence groupoids of classes of differential equations,
                21 September 2017, Colloquium of Department of Mathematics and Statistics, Memorial University (St. John's, Canada)

              4. Inverse problem on conservation laws: theory and applications,
                6 April 2017, Seminar "Nonlinear differential equations: symmetries, ansatzes, solutions", Faculty of Applied Mathematics, AGH University of Science and Technology (Krakow, Poland)

              5. Point-transformation structures on classes of differential equations,
                14 February 2017, Ostrava Seminar on Mathematical Physics, Department of Mathematics, University of Ostrava (Czech Republic)

              6. Inverse problems on conservation laws and conservative parameterizations,
                26 September 2016, Colloquium of Department of Mathematics and Statistics, Memorial University (St. John's, Canada)

              7. Contractions of Lie algebras,
                20 September 2016, Seminar of Department of Mathematics and Statistics, Memorial University (St. John's, Canada)

              8. Noether theorems,
                22 May 2015, Seminar on differential geometry and its applications, Mathematical Institute in Opava, Silesian University in Opava (Opava, Czech Republic)

              9. Inverse problems on conservation laws of differential equations,
                11 September 2015, Math and Stats Colloquium, Department of Mathematics and Statistics, University of Saskatchewan (Saskatoon, Canada)

              10. Equivalence groupoids of classes of differential equations,
                3 October 2013, Mathematics and Statistics Seminar, Department of Mathematics and Statistics, University of Cyprus (Nicosia, Cyprus)

              11. Point transformations in classes of differential equations,
                11 June 2013, Math and Stats Colloquium, Department of Mathematics and Statistics, University of Saskatchewan (Saskatoon, Canada)

              12. Local conservation laws of differential equations: algorithms and further development,
                24 April 2013, CRM Applied Mathematics Seminar, Department of Mathematics and Statistics, McGill University (Montréal, Canada)

              13. Invariant discretization schemes for the shallow-water equations,
                30 May 2012, SYMMHD mini-workshop, Faculty of Engineering, Katholieke Universiteit Leuven, Campus Kortrijk (29–30 May 2012, Kortrijk, Belgium)
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