Vahagn Mikaelian, PhD

Adjunct Associate Professor

Vahagn Mikaelian is teaching Algebra and Discrete Mathematics. His research interests are in group theory, abstract algebra, computer algebra, linear algebra, applications of algebra in computer science.

 

Higher education:

2011, Dr. of Science in Mathematics
Lomonosov Moscow State University

1994, Ph.D. in Mathematics
Lomonosov Moscow State University

1990, Master's in Mathematics
Yerevan State University

 

Courses taught

  • Discrete Mathematics
  • Linear Algebra

 

Main Publications:

  1. V. H. Mikaelian, The Higman operations and embeddings of recursive groups, Journal of Group Theory, to appear in 2022. Impact Factor: 0.487
  2. V. H. Mikaelian, Embeddings using universal words in the free group of rank 2, Siberian Math. Journal, 62 (2021), 1, 123–130. Impact Factor: 0.778
  3. V. H. Mikaelian, Subvariety structures in certain product varieties of groups, Journal of Group Theory, 21 (2018), 5, 865–884. Impact Factor: 0.487
  4. V. H. Mikaelian, Kp-series and varieties generated by wreath products of p-groups, International Journal of Algebra and Computation, 28 (2018), 8, 1693–1703. Impact Factor: 0.396
  5. V. H. Mikaelian, On the classification of varieties generated by wreath products, Izvestiya: Mathematics, 82 (2018), 5, 1006–1018. Impact Factor: 0.923
  6. V. H. Mikaelian, The Criterion of Shmel'kin and Varieties Generated by Wreath Products of Finite Groups, Algebra and logic, 56, 2, (2017), 108–115. Impact Factor: 0.527
  7. V. H. Mikaelian, Algorithmic Algebra, Commutative Rings and Fields, Yerevan University Press, Yerevan 2015, 374 pages, ISBN 978-5-8084-1994-0. Officially approved by the Ministry of higher education and science of RA as textbook for universities.
  8. V. H. Mikaelian, Varieties generated by wreath products of abelian and nilpotent groups, Algebra and Logic, 54 (2015), 1, 70-73. Impact Factor: 0.527
  9. V. H. Mikaelian, A. Yu. Olshanskii, On abelian subgroups of finitely generated metabelian groups, Journal of Group Theory, 16 (2013), 695–705. Impact Factor: 0.487
  10. V. H. Mikaelian, Metabelian varieties of groups and wreath products of abelian groups, Journal of Algebra, 2007 (313), 2, 455–485. Impact Factor: 0.675
  11. V. H. Mikaelian, On finitely generated soluble non-Hopfian groups, an application to a problem of Neumann, International Journal of Algebra and Computation, 17 (2007), Nos. 5-6, 1107–1113. Impact Factor: 0.396
  12. V. H. Mikaelian, On embeddings of countable generalized soluble groups into two-generated groups, Journal of Algebra, 250 (2002), 1–17. Impact Factor: 0.675
  13. V. H. Mikaelian, Subnormal embedding theorems for groups, Journal of the London Mathematical Society, 62.2 (2000), 398–406. Impact Factor: 0.892

 

Research database IDs:

H-index: 11, and i10-index: 12 in: https://scholar.google.com/citations?user=sk9INcwAAAAJ

Zentralblatt für Mathematik: https://zbmath.org/authors/?q=ai%3Amikaelian.vahagn-h

Scopus: https://www.scopus.com/authid/detail.uri?authorId=6506128667

ArXiv: https://arxiv.org/a/0000-0002-1719-1849

 

 

Awards:

2021: Teaching Excellence Award of 2021 from the Yerevan State University.

2020: Joint state grant of SCS and RFBR for research two-year research project “Combina­torial methods and algorithmic problems in group theory” (Grant Nr. 20RF–152).

2018: State grant of SCS for two-year research project Partial n-periodic groups, wreath products and varieties.” (Grant Nr. 18T-1A306).

2018: Joint state grant of SCS and RFBR for research two-year research project “Combina­torial methods and algorithmic problems in group theory” (Grant Nr. 18RF-109).

2015: State grant of SCS for two-year research project Periodic groups and wreath products of groups. Structural problems.” (Grant Nr. 15T-1A258).

2015: Joint state grant of SCS and RFBR for research two-year research project “Algorithmic questions and combinatorial methods in group theory” (Grant Nr. 15RF-054).

2015: The ERC grant 257110 "RaWG" and  the ANR for the conference Growth, Symbolic Dynamics and Combinatorics of Words in Groups held at the École normale supérieure  (ENS), 1--5 June, 2015, Paris, France.

2013: Joint state grant of SCS and RFBR for research two-year research project Combina­torial methods and algorithmic problems in group theory and semigroup theory” (Grant Nr. 13RF-030).

2013: State grant of SCS for two-year research project Groups with periodic defining rela­tions. Embeddings and automorphisms” (Grant Nr. 13-1A246).

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.

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 (Grant Nr. A/97/13683).

 

 

Office location: #334W/PAB

Office hours: Wednesdays, at 19:00 on Zoom