Rostislav I . Grigorchuk. To the 60th anniversary
On February 23, 2013, an outstanding mathematician, one of the founders of our journal Professor Rostislav I. Grigorchuk turns his 60th. The influence of Grigorchuk's famous results on the development of various branches of mathematics is difficult to overestimate and his active involvement in...
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| Дата: | 2013 |
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| Формат: | Стаття |
| Мова: | English |
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Інститут прикладної математики і механіки НАН України
2013
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/158443 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Rostislav I . Grigorchuk. To the 60th anniversary // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 1. — англ. |
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irk-123456789-1584432019-09-02T01:25:38Z Rostislav I . Grigorchuk. To the 60th anniversary On February 23, 2013, an outstanding mathematician, one of the founders of our journal Professor Rostislav I. Grigorchuk turns his 60th. The influence of Grigorchuk's famous results on the development of various branches of mathematics is difficult to overestimate and his active involvement in the international mathematics community life is pretty significant. 2013 Article Rostislav I . Grigorchuk. To the 60th anniversary // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 1. — англ. 1726-3255 http://dspace.nbuv.gov.ua/handle/123456789/158443 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
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On February 23, 2013, an outstanding mathematician, one of the founders of our journal Professor Rostislav I. Grigorchuk turns his 60th. The influence of Grigorchuk's famous results on the development of various branches of mathematics is difficult to overestimate and his active involvement in the international mathematics community life is pretty significant. |
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Article |
| title |
Rostislav I . Grigorchuk. To the 60th anniversary |
| spellingShingle |
Rostislav I . Grigorchuk. To the 60th anniversary Algebra and Discrete Mathematics |
| title_short |
Rostislav I . Grigorchuk. To the 60th anniversary |
| title_full |
Rostislav I . Grigorchuk. To the 60th anniversary |
| title_fullStr |
Rostislav I . Grigorchuk. To the 60th anniversary |
| title_full_unstemmed |
Rostislav I . Grigorchuk. To the 60th anniversary |
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rostislav i . grigorchuk. to the 60th anniversary |
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Інститут прикладної математики і механіки НАН України |
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2013 |
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http://dspace.nbuv.gov.ua/handle/123456789/158443 |
| citation_txt |
Rostislav I . Grigorchuk. To the 60th anniversary // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 1. — англ. |
| series |
Algebra and Discrete Mathematics |
| first_indexed |
2025-07-14T11:01:58Z |
| last_indexed |
2025-07-14T11:01:58Z |
| _version_ |
1837619928178360320 |
| fulltext |
Rostislav I. Grigorchuk
To the 60th anniversary
On February 23, 2013, an outstanding mathematician, one of the
founders of our journal Professor Rostislav I. Grigorchuk turns his 60th.
The influence of Grigorchuk’s famous results on the development of
various branches of mathematics is difficult to overestimate and his active
involvement in the international mathematics community life is pretty
significant.
Rostislav Grigorchuk was born in Ternopol Region, Ukraine. After
graduation from the high school no. 23 in Chernovtsy, Ukraine, he become
a student of the world known elite Mechanics and Mathematics School
of Lomonosov Moscow State University, where he received his Master
of Science Degree in 1975. He continued his post-graduate study at the
same school as the Ph.D student of a well-known expert in ergodic theory
and dynamic systems Professor A. M. Stepin. In 1978, R. Grigorchuk
defended his Ph.D thesis: “Banach means on homogeneous spaces and
random walks” at Moscow Lomonosov State University. In 1985, he was
awarded Doctor of Sciences Degree by Steklov Institute of Mathematics
for his outstanding research work “Growth functions of finitely generated
groups and its applications”.
R.I. Grigorchuk began his teaching career in the Department of Math-
ematics of Moscow State University of Transportation as an assistant
professor, and then he was promoted to a full professor and department
chair (1987-1995). Such known mathematicians as Yurii Kuzmin, Zoya
Lipkina, Leonid Sadovsky and Elena Ventzel worked at this department
that time. Since 1995, R.I. Grigorchuk has been working as the leading
D Rostislav I. Grigorchuk
researcher for the Department of Ordinary Differential Equations of the
famous Steklov Institute of Mathematics of Russian Academy of Science.
In 2001-2002 he served as a professor in the Department of Dynamical
Systems of Moscow State Lomonosov University. It is important to point
that this department was created and developed with his energetic as-
sistance. Since 2002 R. Grigorchuk is a professor, and since 2008 he is
a Distinguished Professor in the Department of Mathematics of Texas
A&M University, College Station, USA.
Rostislav I. Grigorchuk wide range of interests includes group the-
ory, dynamical systems, low dimensional topology, discrete mathematics,
abstract harmonic analysis, random walks, invariant means, bounded
cohomology, and L2-invariants. He obtained remarkable results in all
these areas. In 1980, R.I.Grigorchuk created his first example of infi-
nite finitely generated periodic group. This group is known as the first
Grigorchuk’s group and it represents the simplest and the most elegant
construction of the so-called groups of Burnside type. This group found
various applications in numerous branches of mathematics and definitely
belongs to a quite small circle of most useful and graceful algebraic ob-
jects. Grigorchuk’s group is a central object in the study of the so-called
branch groups and automata groups. These finitely generated groups of
automorphisms of rooted trees have remarkable self-similar properties.
The automata and self-similar groups have a number of unexpected con-
nections with other areas of mathematics, including dynamical systems,
differential geometry, Galois theory, ergodic theory, random walks, frac-
tals, Hecke algebras, bounded cohomology, functional analysis, and others.
Many of these self-similar groups arise as iterated monodromy groups of
complex polynomials, where important relations have been discovered
between the algebraic structure of self-similar groups and the dynamical
properties of the polynomials in question.
R.I. Grigorchuk solved a series of central problems in asymptotic and
geometric group theory; in particular, he solved the long-standing (since
1968) famous Milnor’s problem about groups of intermediate growth.
Grigorchuk’s group has a number of other remarkable mathematical
To the 60th anniversary E
properties: It is a finitely generated infinite residually finite 2-group (that
is, every element of the group has a finite order which is a power of 2); it
is also the first example of a finitely generated group that is amenable
but not elementary amenable (thus providing an answer to another long-
standing problem, posed by Mahlon Day in 1957); it is “just infinite”,
that is, it is infinite but every proper quotient of this group is finite.
In the 1990s and 2000s, R. Grigorchuk has been working on developing
the theory of branch, automata and self-similar groups. One of his great
results in the area is a counter-example to the conjecture of Michel Atiyah
on L2-Betti numbers of closed manifolds, developed with his collaborators.
R. Grigorchuk is also known for his input in the theory of random walks
on groups and the theory of amenable groups. It is enough to mention
here his commonly known Grigorchuk’s co-growth criterion of amenability
for finitely generated groups.
Outstanding research achievements of R.I. Grigorchuk were widely
recognized by mathematical community. Among other his awards are
the Fellowship of American Mathematical Society, the awards of Russian
Academy of Science and the MAIK Publishing for the best publication, the
award “The best scientific result in the Russian Academy of Science”, the
award “The best scientific result in the Steklov Institute of Mathematics”,
the state awards “Outstanding scientist of Russia”, London Mathematical
Society Visiting Professor Awards, and many others.
Professor R.I. Grigorchuk’s active service to international mathematics
community is well-known. He is the Editor-in-Chief of the journal “Groups,
Geometry and Dynamics”, and a member of the editorial boards of the
journals “International Journal of Algebra and Computation”, “Journal
of Modern Dynamics”, “Geometriae Dedicata”, “Algebra and Discrete
Mathematics” and “Matematychni Studii”. He worked on organizing
committees of many international conferences around the globe. Rostislav
Grigorchuk gave an invited address at the 1990 International Congress of
Mathematicians in Kyoto an AMS Invited Address at the March 2004
meeting of the American Mathematical Society in Athens, Ohio, and a
F Rostislav I. Grigorchuk
plenary talk at the 2004 Winter Meeting of the Canadian Mathematical
Society. He was invited professor at many universities in different countries.
Professor R.I. Grigorchuk dedicated much of his time to organizing
international mathematics events and activities. He has been playing
an important role in the work of National Science Foundation (USA),
European Research Council, Switzerland National Science Foundation,
Israel Science Foundation, Science and Engineering Research Canada,
Marie Curie fellowship proposal with the European Commission’s 6th
Framework Program, Pierre Deligne Competition for young mathemati-
cians in Russia, Ukraine and Belarus. He is the one of the founders and a
co-chair of prestigious US-NTSA Award for Ukrainian Mathematicians.
With his active assistance the International Algebraic Conferences in
Ukraine in 1997-2011 were organized and conducted.
Professor Grigorchuk is an excellent lecturer who enjoys great appre-
ciation and respect from his students and colleagues. He is a very friendly
and caring person who is always ready to extend his hand to his friends
and colleagues.
Rostislav Grigorchuk is a very energetic and enthusiastic mathemati-
cian with more great achievements to come.
We warmly congratulate him on his 60th birthday and wish him strong
health and many successful years of fruitful research and teaching.
Yu. Drozd, O. Bezushchak, V. Kirichenko,
M. Komarnitsky, L. Kurdachenko, Ya. Lavrenyuk,
V. Lyubashenko, V. Nekrashevich, B. Novikov,
A. Oliynyk, B. Oliynyk, A. Petravchuk,
I. Subbotin, V. Sushchansky, E. Zelmanov,
A. Zhuchok, Yu. Zhuchok
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