Yuriy Drozd

Yuriy Drozd
Born	(1944-10-15) 15 October 1944 Kyiv, Ukrainian SSR
Nationality	Ukrainian
Alma mater	Taras Shevchenko National University of Kyiv, Steklov Institute of Mathematics
Awards	State Prize of Ukraine in Science and Technology
Scientific career
Fields	mathematics, algebra, representation theory, algebraic geometry
Institutions	Institute of Mathematics of NAS of Ukraine
Doctoral advisor	Igor Shafarevich

Yuriy Drozd (Template:Lang-uk) (born October 15, 1944) is a Ukrainian mathematician working primarily in algebra. He is a Corresponding Member of the National Academy of Sciences of Ukraine and head of the Department of Algebra and Topology at the Institute of Mathematics of the National Academy of Sciences of Ukraine.

Biography

He graduated from Kyiv University in 1966, postgraduate studies at the Institute of Mathematics of the National Academy of Sciences of Ukraine in 1969.

From 1969 to 2006 he worked at the Faculty of Mechanics and Mathematics at Kyiv University (lecturer, associate professor, professor). From 1980 to 1998 he headed the Department of Algebra and Mathematical Logic.

Since 2006 he has been the head of the Department of Algebra and Topology (until 2014 - the Department of Algebra) of the Institute of Mathematics of the National Academy of Sciences of Ukraine.

Candidate's dissertation "On some questions of the theory of integer images" (1970), supervisor - IR Shafarevich.

Doctoral dissertation "Matrix methods in the theory of images and rings" (1981).

In 2007 he was awarded the State Prize of Ukraine in the field of science and technology as a member of a group of scientists for a series of scientific works "Images of algebraic structures and matrix problems in linear and Hilbert spaces".

In 2012 he was elected a corresponding member of the National Academy of Sciences of Ukraine.

In 2015, together with RI Grigorchuk and VM Yakovenko, he was awarded the Prize of the National Academy of Sciences of Ukraine. MM Bogolyubov for a series of works "New directions in image theory and its applications."

In 2019, together with O. and. Danylenko and VD Koshmanenko, awarded the Prize of the National Academy of Sciences of Ukraine. MO Lavrentyev for a series of works "Development of new methods in the theory of dynamical systems, group actions and image theory."

Has prepared more than 30 candidates and 4 doctors of sciences.

Yu. A. Drozd created a well-known scientific school of image theory. The main area of ​​research is image theory and its application: integer images, images of finite-dimensional algebras and the theory of matrix problems, images of groups and Lie algebras, derivative categories, beam categories and homotopy types. He obtained results on the structure of image genera, on the number of modules in a genus, and on the distribution of maximal sublattices that generalize classical theorems of number theory. He proved the classical hypothesis of the "manual-savagery" dichotomy for matrix problems and finite-dimensional algebras. He applied the technique of image theory to problems of algebraic geometry (structure of vector bundles and Cohen-Macaulay modules) and homotopy topology, in particular to the classification of stable homotopy types.

References

• Mathematics Genealogy Project.
• Institute of Mathematics of the National Academy of Sciences of Ukraine.
• Personal site.
• Oberwolfach Photo Collection.

External links

• Yuriy Drozd, Introduction to Algebraic Geometry (course lecture notes, University of Kaiserslautern).
• Yuriy Drozd, Vector Bundles over Projective Curves.
• Yuriy Drozd, General Properties of Surface Singularities.
• Drozd, Yuriy; Kirichenko, Vladimir (1994). Finite-Dimensional Algebras. Springer. ISBN 978-3-642-76244-4.