EDUCATION:
Kyiv National University, Kandydat fiz.-mat. Nauk (01.01.06 - algebra i teoriya chysel), 1998. PhD Thesis: "Semiperfect rings with the prescribed adjoint groups". Scientific Advisor: O.D.Artemovych
The Ivan Franko National University of Lviv, postgraduate studies with a specialization in algebra and theory of numbers, 1997
The Ivan Franko National University of Lviv, “Diplom” with Honors, Mathematics, 1994
PROFESSIONAL EMPLOYMENT:
March 2003 - present, Associate Professor, Algebra and Logic Department, Mechanics and Mathematics Faculty of Ivan Franko National University of Lviv.
- Courses lectured: abstract algebra, number theory, linear algebra, analytic geometry, discrete mathematics, applied algebra, econometrics, computer algebra.
March 2000 - February 2003, Associate Professor, Department of Algebra and Topology of Ivan Franko National University of Lviv.
- Courses lectured: Algebra and Analytic Geometry, Discrete Mathematics, Computer Algebra, Social Choice Theory, Finite Field and Coding Theory, Algebraic Aspects of Cryptography.
- Take part in the preparation of the textbooks and manuals.
September 1999 – February 2000, Assistant Professor, Algebra and Topology Chair of Lviv National University.
- Courses taught: Algebra and Number Theory, Analytic and Differential Geometry.
March 1998 – February 2000, Scientific Researcher, Mechanics and Mathematics Faculty of Lviv National University.
September 2000 – December 2000, Visiting Lecturer, Lviv State Institute of Finance and Economics.
- Taught course of Econometrics
- Took part in the preparation of Mathematics and Econometrics courses program for distance learning students
November 1994 – October 1997, Researcher (postgraduate student), Faculty of Mechanics and Mathematics of the Lviv National University.
PROFESSIONAL SOCIETY ACTIVITIES:
- 2015 – 2019, member of the editorial board of the scientific journal “Visnyk of Lviv University. Series Mechanics and Mathematics”
- 2014 – present, Contact Person of the International Joint Certificate Program "Selected Topics in Computational Mathematics" offered by the Ivan Franko National University of Lviv and Julius Maximilian University Würzburg, Germany.
- 2014 – present, Academic Mobility Coordinator (Erasmus+) of Mechanics and Mathematics Faculty
- 2011 – present, member of the executive board at “Alumni Association of Ivan Franko National University of Lviv”
- Organizing Committee, The International Conference dedicated to the 120-th anniversary of Kazimierz Kuratowski Lviv, 27 September - 1 October, Ukraine.
- Organizing Committee, IX International Algebraic Conference in Ukraine (IACU 2013), July, 2013, Lviv, Ukraine.
- Organizing Committee, IV International Algebraic Conference in Ukraine (IACU 2003), August, 2003, Lviv, Ukraine.
RESEARCH INTERESTS:
- Ring and group theory.
- Adjoint, additive, multiplicative groups of rings.
- Application of modern algebra and theory of numbers:
- algebraic coding theory,
- algebraic aspects of cryptology,
- computer algebra.
SELECTED PUBLICATIONS:
Journal Papers`
- Ishchuk Yu., I. Kozachok, Semigroups and S-polygons with annihilation// Visnyk Lviv Univ. Ser.Mech.-Math. – 2015. – Vol.80. – P.42-51.
- Ishchuk Yu., On associated groups of rings satisfying finiteness conditions // Visnyk Lviv Univ. Ser.Mech.-Math. – 2003. – Vol.61. – P.106 -113.
- Ishchuk Yu., On associated groups of ring // London Math. Soc., Lecture Note Series 304: “Groups St Andrews 2001 in Oxford”, Vol.1, Cambridge Univ. Press, P.284‑293.
- Ishchuk Yu.B. On semilocal rings with solvable adjoint group // Visnyk of Franko Lviv University. - 1998. - V.49. - P.39-41.
- Artemovych O., Ishchuk Yu. On semiperfect rings determined by adjoint groups // Matematychni Studii. - 1997. - v.8, №2. - P.162-170.
- Artemovych O., Ishchuk Yu. Semiperfect rings with periodic adjoint groups // Dopovidi NAS of Ukraine.- 1997. - №6. - P.11-14.
- Ishchuk Yu.B. Semiperfect rings with periodic locally nilpotent group of units // Matematychni Studii. - 1997. - v.7, №2. - P.125-128.
Conference Papers
- Ishchuk Yu., Finite quandle rings and matrices, International conference “Groups and Their Actions 2019”, September 9-13, 2019, Gliwice, Poland, Abstracts. – P.11-12.
- Ishchuk Yu., On the adjoint groups of corner rings // 9-th International Algebraic Conference in Ukraine, July 8-13 (2013), Lviv, Ukraine, 2013. – P.78.
- Ishchuk Yu., The units and idempotents in a group rings // International Conference dedicated to the 120-th anniversary of Stefan Banach, September 17-21 (2012), Lviv, Ukraine, 2012. – P.254.
- Ishchuk Yu. On some generalization of Pólya enumeration theorem // 8-th International Algebraic Conference, July 5-12(2011), Lugansk, Ukraine, 2011. – P.68.
- Yu. Ishchuk, O.Tkach, On optimization of regular equivalence relations algorithms // Abstracts of talks of the XIII-th International M.Kravchuk conference, Kyiv, 13-15 May 2010, P.68
- Yu.Ishchuk, N.Zasjadkovych, On algorithms inverting Burau representations// International conference DIMA, 19-22 October, 2009, Minsk, Abstract of talks, P.51-52.
- Yuriy Ishchuk, Complementation of the Jacobson group in an adjoint group of a ring // Abstracts of 10th International Conference "Group and Group Rings", Ustroń, Poland, June 10-14, 2003, P.32-33.
- Yuriy Ishchuk, On self-dual groups code // Abstracts of talks of the International Algebraic Conference in Ukraine, Lugansk, September, 2002.
- Yuriy Ishchuk, On periodic associated groups of rings with identity // Abstracts of talks of the conference "Groups and group rings", Suprasl, 15-19 June 1999, P.11
Chapters in Books:
- V.Andriychuk, Yu.Ishchuk, M.Komarnytsky, Introduction to Discrete Mathematics, - Kyiv, CNTL, 2004. – 254p. (Ukrainian)
- V.Andriychuk, Yu.Ishchuk, M.Komarnytsky, Applied Abstract Algebra, - Lviv, Preprint, 2011. (Ukrainian)