Maksym Tkachuk - COMPLEX

Held positions

2016 - now - Senior Research Fellow, Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv, Ukraine.
2007 - 2011 - Research Fellow, Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv, Ukraine.
2007 - 2011 - Junior Research Fellow, Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv, Ukraine.

Research topics

Complex analysis
Convex analysis
Geometry and topology
Monogenic functions in commutative Banach algebras

Education

2004 - 2008 - Degree of Candidate of Physical and Mathematical Sciences, Institute of Mathematics of National Academy of Sciences of Ukraine, Kyiv, Ukraine
1998 - 2003 - Specialist's degree in Mathematics, Zhytomyr Ivan Franko State University, Zhytomyr, Ukraine

Grants and Awards

2013 - Award of the Verkhovna Rada of Ukraine to the Most Talented Young Researchers in the field of fundamental and applied researches and scientific-technical developments, 2013

Published papers

2025 - S. A. Plaksa, V.S. Shpakivskyi, M.V. Tkachuk, An analog of the Hille theorem for hypercomplex functions in a finite-dimensional commutative algebra, ArXiv, 2025.
DOI: 10.48550/arXiv.2502.08809
2024 - M.V. Tkachuk, Analog of Menchov-Trokhimchuk theorem for monogenic functions in subspace of the three-dimensional commutative algebra, ArXiv, 2024.
DOI: 10.48550/arXiv.2412.01870
2023 - S. A. Plaksa, M.V. Tkachuk, Menchov–Trokhimchuk Theorem Generalized for Monogenic Functions in a Three-Dimensional Algebra, In: Kähler, U., Reissig, M., Sabadini, I., Vindas, J. (eds) Analysis, Applications, and Computations. ISAAC 2021. Trends in Mathematics. Birkhäuser, Cham (2023).
DOI: 10.1007/978-3-031-36375-7_25
2023 - T. Osipchuk, M. Tkachuk, On weakly 1-convex sets in the plane, Proceedings of the International Geometry Center 16(1); 42-49, 2023.
DOI: 10.15673/tmgc.v16i1.2440
2022 - S. A. Plaksa, M. V. Tkachuk, An analog of the Menchov–Trokhimchuk theorem for monogenic functions in a three-dimensional commutative algebra, Ukr. Math. J.73, 1299–1308 (2022).
DOI: 10.1007/s11253-022-01991-w
2020 - M.V. Tkachuk, On fiber linear convexity, ArXiv, 2020.
DOI: 10.48550/arXiv.2006.11571
2020 - S. A. Plaksa, M.V. Tkachuk, Analog of Menchov-Trokhimchuk theorem for monogenic functions in three-dimensional commutative algebra, ArXiv, 2020.
DOI: 10.48550/arXiv.2006.12492

Talks at conferences, workshops, schools, etc.

2021 - Analog of Menchov-Trokhimchuk theorem for monogenic functions in three-dimensional commutative algebra, International Online Conference Algebraic and Geometric Methods of Analysis May 25-28, 2021 Odesa, Ukraine, dedicated to the memory of Yuriy Trokhymchuk, pp. 151–152.

2024 - An analogue of the Menshov-Trokhymchuk theorem in 3-dimensional commutative algebra, Hypercomplex Seminar, September 14-18, 2024, Program and abstracts (2024-09-13), Lodz Univeristy of Technology, Lodz, Poland, 2024, p. 73.