I am a researcher at the Department of Abstract Analysis of the Institute of Mathematics of the Czech Academy of Sciences.
I am the principal investigator of the GAČR project GJ19-05271Y Groups and their actions, operator algebras, and descriptive set theory
Contact information
Institute of Mathematics, CAS
Žitná 25
115 67 Praha 1
Czechia
email: doucha@math.cas.cz
Institute of Mathematics, CAS
Žitná 25
115 67 Praha 1
Czechia
email: doucha@math.cas.cz
Research
My research interests are mostly in functional analysis, group theory, and descriptive set theory. I have recently worked on Banach-Lie groups and the Haagerup and Kazhdan properties, Lipschitz-free Banach spaces and Lipschitz algebras, (dual) surjunctivity of topological dynamical systems, and descriptive set theory in Banach space theory.
My research interests are mostly in functional analysis, group theory, and descriptive set theory. I have recently worked on Banach-Lie groups and the Haagerup and Kazhdan properties, Lipschitz-free Banach spaces and Lipschitz algebras, (dual) surjunctivity of topological dynamical systems, and descriptive set theory in Banach space theory.