Klishchuk Bogdan
Education
Graduated Department of Mathematics of Volyn National University named after Lesya Ukrainka in 2010.
Dissertations
Geometric properties of generalized convex sets in Euclidean spaces
Research interests
Scientific interests are associated with topological and geometric methods for solving analytic problems of complex analysis and the theory of mappings. Suficient conditions of the existence of solutions of multivalued inclusions in Euclidean spaces were obtained. The problem of Mizel-Zamfirescu about geometric characterization of a circle was solved. Lower bounds for the area of the image of a disc for ring homeomorphisms with respect to a non-conformal modulus were obtained.
Experience
Scientific biography: from 2005 till 2010 is a student of the Department of Mathematics of Volyn National University of Lesya Ukrainka; from 2010 till 2013 is a post-graduate student of the Institute of Mathematics of the National Academy of Sciences of Ukraine and PhD thesis under the guidance of Professor Yurii Zelinskii. PhD (mathematical analysis), 2014. The title of the thesis: Geometric properties of generalized convex sets in Euclidean spaces.
Talks on conferences
1. Klishchuk B. Mizel-Zamfirescu characterization of a circle, Conference: (Hyper)Complex and Dynamical Processes, Modelling and Simulations, 2 – 9 July 2015, Bedlewo (Poland).
2. Klishchuk B. Hypercomplex semi-affinity of mappings strictly invariant on some sets, International conference of young mathematicians. June 3-6, 2015, Kyiv, Ukraine. Abstracts. – Kyiv: Institute of Mathematics of NAS of Ukraine, 2015. – P.75.
3. Klishchuk B. Some properties of multivalued mappings in Euclidean spaces, Hypercomplex Seminar 2016: (Hyper)Complex and Harmonic Dynamical Modelling vs. Special Ternary or Quaternary Nanostructures and Related Problems (30 years of the direct cooperation agreement Lodz – Paris VI), Mathematical Conference Center at Bedlewo (Poland), June 30 – July 7.
4. Zelinskii Yu., Stefanchuk M., Klishchuk B. The shadow problem and its generalization, Hypercomplex Seminar 2017: (Hyper)Complex and Harmonic Dynamical
Modelling: Topology in Physics of Dynamical Systems and Molecular Nanoengines (30 years of the direct cooperation agreement Łódź [University and Łódź Society of Sciences and Arts] – Kyiv [National Academy of Sciences of Ukraine]), Mathematical Conference Center at Będlewo (Poland), July 22 - July 29.
5. Klishchuk B.A. On the shadow problem // 4th AMMODIT Conference, Malekhiv (Lviv region), Ukraine, March 19 – 23, 2018.
6. B.A. Klishchuk, R.R. Salimov Lower bounds for the area of the image of a disc // Hypercomplex Seminar 2018: (Hyper)Complex Analysis in Differential Equations, Geometry and Physical Applications, Mathematical Conference Center at Bedlewo (Poland).
7. Klishchuk B.A. The shadow problem at a fixed point // International Conference «Harmonic analysis and approximations», VII. Tsaghkadzor (Armenia) September 16 – 22, 2018.
8. B.A. Klishchuk, R.R. Salimov An extremal problem for the volume of the image of a ball // Hypercomplex Seminar 2019: (Hyper)Complex Analysis in Differential Equations, Geometry and Physical Applications (including (de)composition problems of binary up to senary structures in alloy and polymer physics), Mathematical Conference Center at Bedlewo (Poland), July 07 – July 14.
9. B.A. Klishchuk, R.R. Salimov Lower bounds for the volume of the image of a ball // 12th ISAAC Congress, Aveiro (Portugal), July 29 – August 2, 2019. – P. 32.
10. B.A. Klishchuk, R.R. Salimov On the behavior at infinity of one class of homeomorphisms // International scientific online conference «Algebraic and geometric methods of analysis». May 26–30, 2020, Odesa, Ukraine. Book of abstracts. – pp. 34–35.
2. Klishchuk B. Hypercomplex semi-affinity of mappings strictly invariant on some sets, International conference of young mathematicians. June 3-6, 2015, Kyiv, Ukraine. Abstracts. – Kyiv: Institute of Mathematics of NAS of Ukraine, 2015. – P.75.
3. Klishchuk B. Some properties of multivalued mappings in Euclidean spaces, Hypercomplex Seminar 2016: (Hyper)Complex and Harmonic Dynamical Modelling vs. Special Ternary or Quaternary Nanostructures and Related Problems (30 years of the direct cooperation agreement Lodz – Paris VI), Mathematical Conference Center at Bedlewo (Poland), June 30 – July 7.
4. Zelinskii Yu., Stefanchuk M., Klishchuk B. The shadow problem and its generalization, Hypercomplex Seminar 2017: (Hyper)Complex and Harmonic Dynamical
Modelling: Topology in Physics of Dynamical Systems and Molecular Nanoengines (30 years of the direct cooperation agreement Łódź [University and Łódź Society of Sciences and Arts] – Kyiv [National Academy of Sciences of Ukraine]), Mathematical Conference Center at Będlewo (Poland), July 22 - July 29.
5. Klishchuk B.A. On the shadow problem // 4th AMMODIT Conference, Malekhiv (Lviv region), Ukraine, March 19 – 23, 2018.
6. B.A. Klishchuk, R.R. Salimov Lower bounds for the area of the image of a disc // Hypercomplex Seminar 2018: (Hyper)Complex Analysis in Differential Equations, Geometry and Physical Applications, Mathematical Conference Center at Bedlewo (Poland).
7. Klishchuk B.A. The shadow problem at a fixed point // International Conference «Harmonic analysis and approximations», VII. Tsaghkadzor (Armenia) September 16 – 22, 2018.
8. B.A. Klishchuk, R.R. Salimov An extremal problem for the volume of the image of a ball // Hypercomplex Seminar 2019: (Hyper)Complex Analysis in Differential Equations, Geometry and Physical Applications (including (de)composition problems of binary up to senary structures in alloy and polymer physics), Mathematical Conference Center at Bedlewo (Poland), July 07 – July 14.
9. B.A. Klishchuk, R.R. Salimov Lower bounds for the volume of the image of a ball // 12th ISAAC Congress, Aveiro (Portugal), July 29 – August 2, 2019. – P. 32.
10. B.A. Klishchuk, R.R. Salimov On the behavior at infinity of one class of homeomorphisms // International scientific online conference «Algebraic and geometric methods of analysis». May 26–30, 2020, Odesa, Ukraine. Book of abstracts. – pp. 34–35.