Anna Goncharuk

Mathematical Division Department of Function Theory

B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine

47 Nauky ave. Kharkiv, 61103, UKRAINE

Date of Birth:

 

October 29, 1996

 

 

Citizenship:

 

Ukrainе

 

 

Education:

 

M.S.

 

Double Master Degree Program: School of Mathematics and Computer Sciences, V.N. Karazin Kharkiv National University & University of L`Aquila, Italy, May, 2019


Ph.D.

 

V.N. Karazin Kharkiv National University, Januare, 2024.  Title: "Algebraic constructions in linear differential equations and in the theory of implicit linear difference equations ". Supervisor Sergiy Gefter

Permanent Positions:

Research Fellow, the Department of Function Theory of the B.Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, Kharkiv, September 2025 – present time

Associate professor, School of Mathematics and Computer Sciences, V.N. Karazin Kharkiv National University, September 2025 - present time

Assistant professor, School of Mathematics and Computer Sciences, V.N. Karazin Kharkiv National University, October 2019 – August 2025 

 

 

 

Research interests:

Linear differential and difference equations over commutative rings

Scopus Author ID: 57191874686

 https://mathscinet.ams.org/mathscinet/MRAuthorID/1189606

https://orcid.org/0000-0002-3562-795X

 

Grants

Grant of NATIONAL RESEARCH FOUNDATION OF UKRAINE №2020.02/0096

Grant of Akhiezer Foundation (2017 and 2023)


Recent articles:
  1. S. Gefter, A.Goncharuk, A. Piven'. Implicit Linear First Order Difference Equations Over Commutative Rings, Springer Nature Switzerland AG, S. Elaydi et al. (eds.), Advances in Discrete Dynamical Systems, Difference Equations and Applications, Springer Proceedings in Mathematics & Statistics, 2023, pp. 199-216. https://link.springer.com/chapter/10.1007/978-3-031-25225-9_10
  2. Hefter, S.L., Goncharuk, A.B. Linear Differential Equation with Inhomogeneity in the Form of a Formal Power Series Over a Ring with Non-Archimedean Valuation. Ukr Math J 74, 1668–1685 (2023). https://link.springer.com/article/10.1007/s11253-023-02163-0
  3. Goncharuk, A.: Cramer's rule for implicit linear differential equations over a non-Archimedean ring, Visnyk of V. N. Karazin Kharkiv National University. Ser. Mathematics, Appl. Math. and Mech. 95, 39–48 (2022) https://periodicals.karazin.ua/mech_math/article/view/20906/19611
  4. Goncharuk, A.: Implicit linear difference equation over a non-Archimedean ring. Visnyk of V. N. Karazin Kharkiv National University. Ser. Mathematics, Appl. Math. and Mech. 93, 18–33 (2021) https://periodicals.karazin.ua/mech_math/article/view/17409/16023
  5. Gefter, S.L., Martseniuk, V.V., Goncharuk, A.B., Piven’A.L. Analogue of the Cramer Rule for an Implicit Linear Second Order Difference Equation Over the Ring of Integers, Journal of Mathematical Sciences, New York (Springer), 244, pp. 601–607, 2020. https://link.springer.com/article/10.1007/s10958-019-04635-w
Recent CONFERENCES 
  1. Anna Goncharuk, Roman Scurikhin, Sergiy Gefter, Aleksey Piven’, The ring of copolynomials over the commutative ring and some its applications. Conference on Rings and Polynomials, TU Graz, Graz, Austria, July 14 - 19, 2025, p.26 http://integer-valued.org/rings2025/index.html
  2. Gefter, S., Goncharuk, A., Piven', A.: Periodic and quasi-polynomial solutions of implicit linear difference equations over commutative rings. In: Book of Abstracts of The 27th International Conference on Difference Equations and Applications, Paris, July 18-22, 2022, p. 137 https://icdea2022.sciencesconf.org/data/pages/icdea2022_leaflet_v5_1_.pdf
  3. Gefter, S. L., Goncharuk, A. B., Piven', A. L.: Quasi-polynomial solutions of implicit linear difference equations over a local commutative ring. In: Book of Abstracts of The International online conference ``Current trends in abstract and applied analysis'', Ivano-Frankivsk, May 12-15, 2022, p. 32 https://conference.pu.if.ua/cta/BookOfAbstracts.pdf
  4. Goncharuk A.: Implicit difference equation over the ring of polynomials. Conference on Rings and Polynomials, Graz, Austria, July 19-24, 2021, p. 29 http://integer-valued.org/rings2021/booklet.pdf
  5. Goncharuk, A., Gefter, S., Piven', A.: Implicit linear difference equations over commutative rings. The 26th International Conference on Difference Equations and Applications, Sarajevo, Bosnia and Herzegovina, 16-30 July 2021, p. 154 https://pmf.unsa.ba/wp-content/uploads/2021/07/Abstracts-Book-ICDEA-2021.pdf