Igor Dolinka

Igor Dolinka

Full Professor
Department of Mathematics and Informatics
Faculty of Sciences, University of Novi Sad
Trg Dositeja Obradovića 4, 21101 Novi Sad, Serbia
E-mail: dockie AT dmi.uns.ac.rs


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Welcome to my personal home page!

I am a Full Professor of Mathematics in the Department of Mathematics and Informatics of the Faculty of Sciences at the University of Novi Sad. Currently, I am the head of the Algebra and Theoretical Computer Science chair and the director of the PhD in Mathematics study programme.

My research interests are in algebra, focused mainly on semigroups and related chapters of group theory, combinatorics, and model theory.

Selected publications

Free idempotent generated semigroups: The word problem and structure via gain graphs.
Israel Journal of Mathematics (to appear), 41 pp. [ doi ]
New results on the prefix membership problem for one-relator groups (with R.D. Gray).
Transactions of the American Mathematical Society Vol. 374 (2021), 4309-4358.
A group-theoretical interpretation of the word problem for free idempotent generated semigroups (with D. Yang and V. Gould).
Advances in Mathematics Vol. 345 (2019), 998-1041.
Twisted Brauer monoids (with J. East).
Proceedings of the Royal Society of Edinburgh, Section A: Mathematics Vol. 148 (2018), 731-750.
On regularity and the word problem for free idempotent generated semigroups (with R.D. Gray and N. Ruškuc).
Proceedings of the London Mathematical Society Vol. 114 (2017), 401-432.
Maximal subgroups of free idempotent generated semigroups over the full linear monoid (with R.D. Gray).
Transactions of the American Mathematical Society Vol. 366 (2014), 419-455.
Matrix identities involving multiplication and transposition (with
K. Auinger and M.V. Volkov).
Journal of the European Mathematical Society Vol. 14 (2012), 937-969.

Further research-related information

my full publication list
my Google Scholar entry
my ORCID identifier: 0000-0002-8644-0626
my Scopus profile
my academic ancestry

In the current academic year (2020/21) I teach the following courses:

M116/M516: Algebra 2 (Group Theory) (for B.Sc. students of Mathematics - autumn semester)
P102: Discrete Mathematics 1 (for B.Sc. students of Applied Mathematics - autumn semester)
M147: Theory of Automata (for B.Sc. students of Mathematics - spring semester)
MA63: Semigroups (for M.Sc. students of Mathematics - spring semester)