Ինֆորմատիկայի և կիրառական մաթեմատիկայի ֆակուլտետ
Faculty of Informatics and Applied Mathematics
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Vahagn Hamleti Mikayelyan

Associate Professor | Chair of Discrete Mathematics and Theoretical Informatics
Education
1992 - 1994: Graduate student at the M. V. Lomonosov Moscow State University, Moscow, Russia.
1985 - 1990: Undergraduate student at the Yerevan State University, Yerevan, Armenia. Summa cum laude (first class diploma) for the graduation work "On identities of Lie algebras".

Academic degree
2011: Dr. Sci. in Mathematics (Dr. of Science in Physics and Mathematics) from M. V. Lomonosov Moscow State University for the thesis "Verbal Embeddings and Wreath Products of Groups".
1994: Ph.D. in Mathematics (Candidate of Science in Physics and Mathematics) from M. V. Lomonosov Moscow State University for the thesis "The Identities of Finite Extensions of Groups". Advisor: Professor Alexander Yu. Ol'shanskii.
Professional experience
2002 - 2010.: Docent at the Department of Informatics and Applied Mathematics, Yerevan State University, Yerevan, Armenia.
1997 - 1998: Invited researcher at the Universität Wuerzburg, Germany, on the project "The operation of extension of groups and certain special constructions of group classes" supported by the German Academic Exchange Service (DAAD). Supervisor of the project: Professor Hermann Heineken.
vmiqaelian@ysu.am
1994 - 1997 and 1998 - 2002: Assistant at the Department of Informatics and Applied Mathematics, Yerevan State University, Yerevan, Armenia.
1993 - 1994: Junior researcher at the research group Applications of Ring theory methods in the theory of groups, M. V. Lomonosov Moscow State University, Mech.-Mat. Faculty. Supervisor of the group: Professor Alfred L. Shmel'kin.

Academic courses
Linear algebra, general algebra, analytic geometry, group theory and its applications, finite fields, computer algebra.

Scale of professional interests
Normal and subnormal embeddings of groups into groups with additional properties, embeddings into 2-generator groups, verbal embeddings of groups.
Ordered groups, embeddings into ordered and linearly ordered groups.
Wreath products, wreath products of abelian groups, extensions of groups with additional properties.
Varieties of groups, problems of special identities of groups, verbal subgroups, varieties of infinite base rank.
Computer algebra, its applications of group theory and general algebra.
Participation in grant projects (present and past) 2012: Grant from the NSF (National Science Foundation) for research work at the Vanderbilth University, Nashville, USA.
2002: The grant of the Istituto Nazionale di Alta Matematica for the Intensive Research Bimester dedicated to the memory of Reinhold Baer, Naples, Italy, May 6th-June 29th, 2002.
1997: Fellowship of the German Academic Exchange Service (DAAD) for research on the project "The operation of extension of groups and certain special constructions of group classes" at the Universität Würzburg, Germany, 09.06.98-01.08.98.

Languages
Good knowledge of Armenian, English, Russian, German languages.

Professional membership
Editor of the Armenian Journal of Mathematics
Mamber of the American mathematical Society

Awards received
2001: The first international Emil Artin Prize in Mathematics for the paper: Subnormal embedding theorems for groups, Journal of the London Mathematical Society, 62.2 (2000), 398-406. Mentioned in the Mathematics People section of the Notices of the Amer. Math. Soc., vol 48, n. 8, p. 834, September 2001.
1985: Diploma in All-union (USSR) Olympiad of Students in Mathematics, Mogilev, Belorussia.
1984: First class diploma in Olympiad of Young Mathematicians of Armenia, Yerevan, Armenia.

The Criterion of Shmel'kin and Varieties Generated by Wreath Products of Finite Groups
2017 | Article
Algebra and Logic. 2017, 56. 2, pp. 108–115
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Упрощение доказательства теоремы Бёрнса о базисном ранге
2016 | Thesis
Mal'tsev Meeting 16. 2016, p. 98
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On ascending series of nilpotent subvarieties in soluble varieties of group
2016 | Thesis
Groups, Algebras and Identities Conference honoring Boris Plotkin's 90th birthday. 2016, p. 14
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On degrees of modular common divisors and the Big prime gcd algorithm
2016 | Article
Journal of Mathematics and Mathematical Sciences, 2016, 1, 1-13 pp.
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On some residual properties of the verbal embeddings of groups
2016 | Article
Advances in Group Theory and Applications, 2016, 1, 3–19 pp.
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Varieties Generated by Wreath Products of Abelian and Nilpotent Groups
2015 | Article
Algebra and Logic. 2015, 54, pp. 70–73
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Ալգորիթմական հանրահաշիվ, կոմուտատիվ օղակներ եւ դաշտեր
2015 | Book
Դասագիրք: ԵՊՀ հրատ., 2015թ․, 374 էջ
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