Shpakivskyi Vitalii
Education
Zhytomyr State University, Faculty of Physics and Mathematics, 2003–2008, Magister of mathematics, diploma with honors.
Post-graduate studies at the Institute of Mathematics of the National Academy of Sciences of Ukraine under the guidance of Professor S. A. Plaksa, 2008–2011.
Doctoral studies at the Institute of Mathematics of the National Academy of Sciences of Ukraine, 2018-2020.
Post-graduate studies at the Institute of Mathematics of the National Academy of Sciences of Ukraine under the guidance of Professor S. A. Plaksa, 2008–2011.
Doctoral studies at the Institute of Mathematics of the National Academy of Sciences of Ukraine, 2018-2020.
Dissertations
Dr. Sci. (in Physics and Mathematics, mathematical analysis), Institute of Mathematics of the National Academy of Science of Ukraine, 2020.
Theses: Monogenic functions in associative algebras.
Supervisor Dr. Sci., Prof. Plaksa S. A.
Theses: Monogenic functions in associative algebras.
Supervisor Dr. Sci., Prof. Plaksa S. A.
Research interests
Hypercomplex algebra, analysis and their application.
Talks on conferences
22–26 August 2006 The XI Kravchuk International Scientific Conference (Ukraine, Kyiv).
Report: Solution of general linear quaternionic equations.
19–22 October 2007 Conference “Modern problems of mathematics and its application in natural sciences and information technologies” (Ukraine, Kharkiv).
Report: The theorem Stokes and Cauchy in a commutative algebra.
19–26 August 2007 Bogolyubov Readings 2007. International Conference of Complex Analysis and Wave Processes in Mechanics (Ukraine, Zhytomyr).
Report: Solution of general linear antiquaternionic equations.
26 July – 2 August 2008 The student scientific conference of the applied mathematics and informatics. (Ukraine, Lviv)
Report: Integral theorems Cauchy in a commutative algebra.
13-15 June 2009 International Scientific Conference dedicate to Prof. M.I. Nagnibida (Ukraine, Chernivtsi).
Report: Integral theorems in a commutative three-dimensional harmonic algebra.
22 – 25 June 2009 International Scientific Conference „Analytic methods of mechanics and complex analysis” dedicated to N. A. Kilchevskii and V.A.Zmorovich on the occasion of their birthday centenary”. (Ukraine, Kyiv)
Report: Monogenic function in a commutative three-dimentional harmonic algebra.
24–31 June 2009
Hypercomplex Seminar 2009: From Schauder Basis to Hypercomplex, Randers-Ingarden and Fractal Structures, and Nanostructures (Poland, Będlewo).
Report: INTEGRAL THEOREMS AND CAUCHY INTEGRAL FORMULA IN A COMMUTATIVE THREE-DIMENSIONAL HARMONIC ALGEBRA
23–26 August 2009 7th ISAAC Congress. (UK, London)
Report: Integral theorems in a commutative three-dimensional harmonic algebra.
17 – 24 July, 2010 Hypercomplex Seminar 2010: (Hyper)Complex and Randers-Ingarden Structures in Mathematics and Physics (Poland, Będlewo).
Report: INTEGRALS IN A COMMUTATIVE HARMONIC ALGEBRA ON BOUNDARY VALUES OF THE CAUCHY TYPE INTEGRAL
1-7 Nov. 2010
6-th International Conference ”Finsler Extensions of Relativity Theory” (Moscow, Russia)
Report: Integral theorems in a commutative three-dimensional harmonic algebra.
26-29 June 2011 Conference on Analytic Functions and Related Topics (Chelm, Poland)
Report: On boundary values of the Cauchy type integral in a harmonic algebra with a two-dimensional radical.
4-6 April 2013 International workshop “A new approach in theoretical and applied methods in algebra and analysis” (Constanta, Romania)
Report: Monogenic functions in a three-dimensional harmonic algebra
19 - 23 August 2013 International Conference "Complex Analysis, Potential Theory and Applications" (Kyiv, Ukraine)
Referat: ON LOGARITHMIC RESIDUE OF MONOGENIC FUNCTIONS IN A THREE-DIMENSIONAL HARMONIC ALGEBRA WITH THE TWO-DIMENSIONAL RADICAL
August 26-30, 2013 Joint events of Colloquium on Differential Geometry and its Applications and IX-th International Conference on Finsler Extensions of Relativity Theory, (Debrecen, Hungary)
23 – 24 April, 2014 International Conference “Differential equations, computational mathematics, theory of functions and mathematical methods of mechanics” dedicate to 100th anniversary of Prof. G. M. Polozhii (Kyiv, Ukraine)
August 3 – 8, 2015 10th ISAAC Congress, (Macau, China).
August 3 – 15, 2015 X Summer School "Algebra, Topology, Analysis" (Odessa, Ukraine);
August 14 – 18, 2017 11th ISAAC Congress, (Växjö, Sweden).
Report: Monogenic functions in finite-dimensional commutative associative algebras
July 22 – 29, 2018 Hypercomplex Seminar 2018: (Hyper)Complex Analysis in Differential Equations, Geometry and Physical Applications (Będlewo, Poland)
Report: Monogenic functions in finite-dimensional commutative associative algebras
July 27- August 3, 2019 12th ISAAC Congress, (Aveiro, Portugal).
Report: Hypercomplex method for solving linear PDEs
11-14th Nov 2021 (Hyper)Complex Seminar Bedlewo, Poland
Report: Hypercomplex method for solving linear PDEs
June 1-3, 2023 International Conference of Young Mathematicians, Kyiv, Ukraine
Report: σ-monogenic functions in commutative algebras
14 – 18 September 2024 (Hyper)Complex Seminar Bedlewo, Poland
-monogenic functions in commutative algebras
23 - 27 September 2024 International conference dedicated to the 145th anniversary of the birth of Hans Hahn, Chernivtsi National University named after Yu. Fedkovych, Chernivtsi
Sigma-monogenic functions in commutative algebras
Report: Solution of general linear quaternionic equations.
19–22 October 2007 Conference “Modern problems of mathematics and its application in natural sciences and information technologies” (Ukraine, Kharkiv).
Report: The theorem Stokes and Cauchy in a commutative algebra.
19–26 August 2007 Bogolyubov Readings 2007. International Conference of Complex Analysis and Wave Processes in Mechanics (Ukraine, Zhytomyr).
Report: Solution of general linear antiquaternionic equations.
26 July – 2 August 2008 The student scientific conference of the applied mathematics and informatics. (Ukraine, Lviv)
Report: Integral theorems Cauchy in a commutative algebra.
13-15 June 2009 International Scientific Conference dedicate to Prof. M.I. Nagnibida (Ukraine, Chernivtsi).
Report: Integral theorems in a commutative three-dimensional harmonic algebra.
22 – 25 June 2009 International Scientific Conference „Analytic methods of mechanics and complex analysis” dedicated to N. A. Kilchevskii and V.A.Zmorovich on the occasion of their birthday centenary”. (Ukraine, Kyiv)
Report: Monogenic function in a commutative three-dimentional harmonic algebra.
24–31 June 2009
Hypercomplex Seminar 2009: From Schauder Basis to Hypercomplex, Randers-Ingarden and Fractal Structures, and Nanostructures (Poland, Będlewo).
Report: INTEGRAL THEOREMS AND CAUCHY INTEGRAL FORMULA IN A COMMUTATIVE THREE-DIMENSIONAL HARMONIC ALGEBRA
23–26 August 2009 7th ISAAC Congress. (UK, London)
Report: Integral theorems in a commutative three-dimensional harmonic algebra.
17 – 24 July, 2010 Hypercomplex Seminar 2010: (Hyper)Complex and Randers-Ingarden Structures in Mathematics and Physics (Poland, Będlewo).
Report: INTEGRALS IN A COMMUTATIVE HARMONIC ALGEBRA ON BOUNDARY VALUES OF THE CAUCHY TYPE INTEGRAL
1-7 Nov. 2010
6-th International Conference ”Finsler Extensions of Relativity Theory” (Moscow, Russia)
Report: Integral theorems in a commutative three-dimensional harmonic algebra.
26-29 June 2011 Conference on Analytic Functions and Related Topics (Chelm, Poland)
Report: On boundary values of the Cauchy type integral in a harmonic algebra with a two-dimensional radical.
4-6 April 2013 International workshop “A new approach in theoretical and applied methods in algebra and analysis” (Constanta, Romania)
Report: Monogenic functions in a three-dimensional harmonic algebra
19 - 23 August 2013 International Conference "Complex Analysis, Potential Theory and Applications" (Kyiv, Ukraine)
Referat: ON LOGARITHMIC RESIDUE OF MONOGENIC FUNCTIONS IN A THREE-DIMENSIONAL HARMONIC ALGEBRA WITH THE TWO-DIMENSIONAL RADICAL
August 26-30, 2013 Joint events of Colloquium on Differential Geometry and its Applications and IX-th International Conference on Finsler Extensions of Relativity Theory, (Debrecen, Hungary)
23 – 24 April, 2014 International Conference “Differential equations, computational mathematics, theory of functions and mathematical methods of mechanics” dedicate to 100th anniversary of Prof. G. M. Polozhii (Kyiv, Ukraine)
August 3 – 8, 2015 10th ISAAC Congress, (Macau, China).
August 3 – 15, 2015 X Summer School "Algebra, Topology, Analysis" (Odessa, Ukraine);
August 14 – 18, 2017 11th ISAAC Congress, (Växjö, Sweden).
Report: Monogenic functions in finite-dimensional commutative associative algebras
July 22 – 29, 2018 Hypercomplex Seminar 2018: (Hyper)Complex Analysis in Differential Equations, Geometry and Physical Applications (Będlewo, Poland)
Report: Monogenic functions in finite-dimensional commutative associative algebras
July 27- August 3, 2019 12th ISAAC Congress, (Aveiro, Portugal).
Report: Hypercomplex method for solving linear PDEs
11-14th Nov 2021 (Hyper)Complex Seminar Bedlewo, Poland
Report: Hypercomplex method for solving linear PDEs
June 1-3, 2023 International Conference of Young Mathematicians, Kyiv, Ukraine
Report: σ-monogenic functions in commutative algebras
14 – 18 September 2024 (Hyper)Complex Seminar Bedlewo, Poland
-monogenic functions in commutative algebras
23 - 27 September 2024 International conference dedicated to the 145th anniversary of the birth of Hans Hahn, Chernivtsi National University named after Yu. Fedkovych, Chernivtsi
Sigma-monogenic functions in commutative algebras