Homological algebra and representation theory form a powerful confluence in modern mathematics. Homological algebra provides a framework for analysing algebraic structures via chain complexes, ...

For any fiat 2-category C, we show how its simple transitive 2-representations can be constructed using co-algebra 1-morphisms in the injective abelianization of C. Dually, we show that these can also ...

The prestigious Abel Prize for mathematics was on Wednesday awarded to Japanese mathematician Masaki Kashiwara a specialist in algebraic analysis, representation theory, and sheaf theory. The ...

This paper continues the investigation, started in Lávička and Noguera (Stud Log 105(3): 521-551, 2017), of infinitary propositional logics from the perspective of their algebraic completeness and ...

University of Chicago mathematicians Alexander Beilinson and Vladimir Drinfeld have been awarded the prestigious Wolf Prize for Mathematics “for their groundbreaking work in algebraic geometry, ...

Masaki Kashiwara has won the 2025 Abel prize, sometimes called the Nobel prize of mathematics, for his work on algebraic analysis. Kashiwara, a professor at Kyoto University, Japan, received the award ...

Our research group is concerned with two lines of investigation: the construction and study of (new) cohomology theories for algebraic varieties and the study of various aspects of the Langlands ...

Current Projects • EXC 2044 - T04: Groups and actions The study of symmetry and space through the medium of groups and their actions has long been a central theme in modern mathematics, indeed one ...

The prestigious Abel Prize for mathematics was on Wednesday awarded to Japanese mathematician Masaki Kashiwara a specialist in algebraic analysis, representation theory and sheaf theory. The ...