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Entry requirements:
  •  Master’s degree / equivalent in a related field
  •  B2 level of English
  •  Good track record of publications related to the topic of the intended research
  •  Strong research proposal 1,500 - 3,500 words

Research supervisor:
Alexander Guterman
PhD, DSc

Supervisor’s research interests:
Combinatorial matrix theory; nonnegative matrices, graphs, and their applications; matrix invariants and maps preserving them; permanent and related matrix functions.

Research highlights:
Area of research belongs to a modern mathematics on the top level; there are possibilities to participate in scientific conferences and workshops and to interact with foreign scientists.

Supervisor’s specific requirements:
  •  Basic classes in algebra and linear algebra.

Main publications:
  •  Majorization for (0,1)-matrices (with G. Dahl and P. Shteyner) Linear Algebra and Its Applications, 585, 2020, 147-163.
  •  Permanent Polya problem for additive surjective maps (with I.A. Spiridonov) Linear Algebra and Its Applications, 599, 2020, 140-155.
  •  Upper bounds for the length of non-associative algebras (with D.K. Kudryavtsev) Journal of Algebra, 544, 2020, 483-497.
  •  2-words, their graphs and matrices (with E.M. Kreines and N.V. Ostroukhova) Zapiski Nauch. Sem. POMI, 482, 2019, 45-72.
  •  Graph characterization of fully indecomposable nonconvertible (0,1)-matrices with minimal number of ones (with M. Budrevich, G. Dolinar Gregor, B. Kuzma) Ars Mathematica Contemporanea, 17(1), 2019, 141-151.
  •  Krauter conjecture on permanents is true (with M.V. Budrevich) Journal of Combinatorial Theory – Series A, 162, 2019, 306-343.
  •  Majorization for matrix classes (with Geir Dahl and Pavel Shteyner) Linear Algebra and Its Applications, 555, 2018, 201-221.
  •  Extremal generalized centralizers in matrix algebras (with G. Dolinar, B. Kuzma, O. Markova) Communications in Algebra, 46(7), 2018, 3147-3154.
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