Lyudmyla Oleksandrivna Nazarova ( uk, Людмила Олександрівна Назарова, published as L. A. Nazarova and also spelled Liudmila, Ludmila, or Lyudmila; born 14 May 1938 in
Vologda
Vologda ( rus, Вологда, p=ˈvoləɡdə) is a types of inhabited localities in Russia, city and the administrative center of Vologda Oblast, Russia, located on the river Vologda (river), Vologda within the watershed of the Northern Dvina. ...
,
RSFSR
The Russian Soviet Federative Socialist Republic, Russian SFSR or RSFSR ( rus, Российская Советская Федеративная Социалистическая Республика, Rossíyskaya Sovétskaya Federatívnaya Soci ...
) is a
Ukrainian
Ukrainian may refer to:
* Something of, from, or related to Ukraine
* Something relating to Ukrainians, an East Slavic people from Eastern Europe
* Something relating to demographics of Ukraine in terms of demography and population of Ukraine
* So ...
mathematician specializing in
linear algebra
Linear algebra is the branch of mathematics concerning linear equations such as:
:a_1x_1+\cdots +a_nx_n=b,
linear maps such as:
:(x_1, \ldots, x_n) \mapsto a_1x_1+\cdots +a_nx_n,
and their representations in vector spaces and through matrices.
...
and
representation theory
Representation theory is a branch of mathematics that studies abstract algebraic structures by ''representing'' their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures. In essen ...
.
Research
With her husband,
Andrei Vladimirovich Roiter, Nazarova founded the theory of representations of and differentiation of
partially ordered set
In mathematics, especially order theory, a partially ordered set (also poset) formalizes and generalizes the intuitive concept of an ordering, sequencing, or arrangement of the elements of a Set (mathematics), set. A poset consists of a set toget ...
s, and solved the second Brauer–Thrall conjecture, proving what became known as the Nazarova–Roiter theorem.
Her research has also included pioneering work on representations of
quivers, and on the
wild problem In the mathematical areas of linear algebra and representation theory, a problem is wild if it contains the problem of classifying pairs of Square matrix, square matrices up to simultaneous matrix similarity, similarity. Examples of wild problems ar ...
in matrix classification.
Education and career
Lyudmila Nazarova was born in a family of mathematician Olxander Nazarov.
Nazarova began her studies at
Taras Shevchenko National University of Kyiv
Kyiv University or Shevchenko University or officially the Taras Shevchenko National University of Kyiv ( uk, Київський національний університет імені Тараса Шевченка), colloquially known as KNU ...
, where she met Roiter. Together they transferred to
Leningrad State University
Saint Petersburg State University (SPBU; russian: Санкт-Петербургский государственный университет) is a public research university in Saint Petersburg, Russia. Founded in 1724 by a decree of Peter the G ...
, where Nazarova completed her doctorate as a student of
Dmitry Faddeev
Dmitry Konstantinovich Faddeev ( rus, Дми́трий Константи́нович Фадде́ев, , ˈdmʲitrʲɪj kənstɐnʲˈtʲinəvʲɪtɕ fɐˈdʲe(j)ɪf; 30 June 1907 – 20 October 1989) was a Soviet mathematician.
Biography
Dmitry w ...
. They returned to Kiev, and Nazarova became a researcher in the Institute of Mathematics of the Academy of Sciences of Ukraine, now the
National Academy of Sciences of Ukraine
The National Academy of Sciences of Ukraine (NASU; uk, Національна академія наук України, ''Natsional’na akademiya nauk Ukrayiny'', abbr: NAN Ukraine) is a self-governing state-funded organization in Ukraine th ...
. She has since retired.
Selected publications
References
{{DEFAULTSORT:Nazarova, Lyudmyla
1938 births
Living people
Ukrainian women mathematicians
21st-century Ukrainian mathematicians
20th-century Ukrainian mathematicians
Saint Petersburg State University alumni