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Abstract Analysis (AA)

Head: Kubiś Wiesław  Prof.

Main research themes of the department members can be described as the study and classification of mathematical structures, using advanced methods of logic, set theory, and category theory, as well as modern tools from mathematical analysis and algebra. Abstract analysis refers to these areas of science where mathematical logic plays a significant role, even though it is not the main object of study. These areas include descriptive set theory, topology, Banach space theory, and the theory of C* algebras.

 Research themes
  • classification of mathematical structures
  • C* algebras
    descriptive set theory
    function spaces
    geometric group theory
    graphs and their limits
    harmonic analysis
    operator theory
    theory of deformable media
    topological and geometric properties of Banach spaces
    universal homogeneous structures
   Bartoš  Adam   Ph.D. student
   Di Liberti  Ivan   Ph.D. student
   Doležal  Martin   Researcher
   Doucha  Michal   Researcher
   Draga  Szymon   Postdoc
   Engliš  Miroslav   Researcher
   Fabian  Marián   Researcher
   Forough  Marzieh   Postdoc
   Ghasemi  Saeed   Postdoc
   Gogatishvili  Amiran   Researcher
   Hájek  Petr   Researcher
   Horváth  Bence   Postdoc
   Kąkol  Jerzy   Researcher
   Kania  Tomasz   Researcher
   Kolář  Jan   Researcher
   Kopecká  Eva   Researcher
   Kostana  Ziemowit   Ph.D. student
   Kubiś  Wiesław   Researcher
   Kurka  Ondřej   Researcher
   Müller  Vladimír   Researcher
   Musil  Vít   Postdoc
   Rákosník  Jiří   Researcher
   Šilhavý  Miroslav   Researcher


 Former members      help

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  Archived former member of IM   
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   Ambrozie  Calin Grigore   Researcher    from 2004 2015
   Balcar  Bohuslav   Researcher    from 1970 2017
   Bielas  Wojciech   Postdoc    from 2016 to 2016
   Cibulka  Radek   Ph.D. student    from 2007 2008
   d'Alessandro  Stefania   Ph.D. student    from 2013 2014
   Doležal  Martin   Postdoc    from 2014 2017
   Doubek  Martin   Ph.D. student    from 2007 2011
   Doucha  Michal   Postdoc    from 2016 2019
   Draga  Szymon   Ph.D. student    from 2017 2018
   Honzík  Petr   Researcher    from 2007 2012
   John  Kamil   Researcher    from 1970 2012
   Kraus  Michal   Postdoc    from 2014 2015
   Markl  Martin   Researcher    from 1990 2014
   Novotný  Matěj   Ph.D. student    from 2013 to 2018
   Pernecká  Eva   Ph.D. student    from 2012 2014
   Viscardi  Claudia   Ph.D. student    from 2015 2016
   Vršovský  Jan   Ph.D. student    from 2004 2010
   Walczyńska  Marta   Ph.D. student    from 2016 to 2016
   Zizler  Václav   Researcher    from 2004 2012
   Zuevsky  Alexander   Researcher    from 2014 2014