Jiří Rosický (mathematician)
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Jiří Rosický (born 1946) is a Czech mathematician. He works on the field of
category theory Category theory is a general theory of mathematical structures and their relations. It was introduced by Samuel Eilenberg and Saunders Mac Lane in the middle of the 20th century in their foundational work on algebraic topology. Category theory ...
. He is full professor at Masaryk University of Mathematics in the group o
Algebra, Topology and Number Theory
which he led for several years.


Life

Jiří Rosický was born in 1946. In 1963–1968, he studied mathematics at the Faculty of Science of the
Masaryk University Masaryk University (MU) (; ) is the second largest university in the Czech Republic, a member of the Compostela Group and the Utrecht Network. Founded in 1919 in Brno, it now consists of ten faculties and 35,115 students. It is named after To ...
. In 1969, he started to work in the department of algebra and geometry at the Faculty of Science. In 1979, he became head of the department.


Work

His work is in
category theory Category theory is a general theory of mathematical structures and their relations. It was introduced by Samuel Eilenberg and Saunders Mac Lane in the middle of the 20th century in their foundational work on algebraic topology. Category theory ...
,
model theory In mathematical logic, model theory is the study of the relationship between theory (mathematical logic), formal theories (a collection of Sentence (mathematical logic), sentences in a formal language expressing statements about a Structure (mat ...
, abstract homotopy theory, and general algebra. In 1980s he started working on interactions between model theory and category theory. This brought his interest to accessible and locally presentable categories. Along with Jiří Adámek he has written a book on the theory of locally presentable and accessible categories, which quickly became the most cited book on the subject. Closer to the 2000s he became interested in connection between weak factorisation systems and homotopy theory, and he wrote several papers on the subject of combinatorial model categories. He was active in several other topics, ranging from the theory of quantales to many aspects of general category theory: he introduced tangent categories and tangent bundle functors. He serves as an editor for Theory and Applications of Categories. He is the editor-in-chief of the Archivum Mathematicum journal.


References

{{DEFAULTSORT:Rosicky, Jiri 1946 births Living people Czech mathematicians Category theorists