NCG&T
Joint working group in noncommutative geometry and topology of Charles University, the Institute of Mathematics of the Czech Academy of Sciences, and the Czech Technical University in Prague
Welcome to NCG&T Prague
What is noncommutative geometry and topology? The idea stems from the Gelfand theorem which states that the category of compact Hausdorff spaces and commutative C*-algebras are dual. If we drop the condition of commutativity from our C*-algebras, we arrive at the notion of a noncommutative topological space. This can be carried further into the realm of noncommutative of geometry by equipping *-algebras with geometric structures.
Our research focusses on both quantum algebraic and operator algebraic aspects of noncommutative geometry and topology. This includes research in Hopf algebras, quantum groups, and noncommutative complex geometry, while on the operator algebra side, we study C*-algebras, with particular focus on C*-algebras arising from dynamical constructions such as minimal actions, groupoids, and semigroups.
Partially by supported the MSCA Staff Exchange grant CaLIGOLA, GAČR project 24-11728K Kvantová geometrická teorie reprezentací a nekomutativní fibrace
Group Members
NCG&T group members
- Giovanni Gava
- Aaron Kettner
- Andrey Krutov
- Bhishan Jacelon
- Mauro Mantegazza
- Akhila Nelliyamkunnath Satheesan
- Myriam Mahaman
- Réamonn Ó Buachalla
- Junaid Razzaq
- Andrea Rivezzi
- Karen Strung
- Thomas Weber
- Peter Zeman
Former members
- Ali Asadi-Vasfi
- Suvrajit Bhattacharjee
- Laurent Cantier
- Alessandro Carotenuto
- Fredy García Díaz
- Saeed Ghasemi
- Sophie Emma Zegers
NCG&T News
New research page
Keep up with all the latest research at Prague NCG&T with the new research page that has been added to the website. Recent publications by our team will appear here!
Welcome to our newest PhD student, Giovanni Gava!
Giovanni began his PhD in the NCG&T group in October 2025. His thesis is supervised by Réamonn Ó Buachalla and looks at ooks at the noncommutative geometry of Mulmuley quantum groups. Giovanni completed his master’s degree at the University of Bologna, where his research was on braided Hopf algebras and Cartan geometry. Having been here…
Welcome to our newest postdoc, Ben Bouwen!
Since Ben has been with us since October, it is safe to say that he has already settled into NCG&T Prague. Nevertheless, it’s not too late for an introductory post. Ben joined us as a postdoc on the CSI:Prague grant following the completion of his PhD at the University of Southern Denmark, under the supervision…
Seminars
Our research seminar takes place every Tuesday at 16:00.
Our working seminar takes place every Friday at 16:00.
31 March 2026. Jakub Knesel, Charles University.
31 March 2026. Jakub Knesel, Charles University. Overview of the Homological Perturbation Lemma. This talk will take place in the blue seminar room, back building, Žitná 25, and on Zoom. We will provide an overview of the concepts necessary for stating the Homological Perturbation Lemma. After stating the lemma, we will also mention some of…
24 March 2026. Ben Bouwen, IMCAS.
24 March 2026. Ben Bouwen, IMCAS. Structural properties of C*-algebras. This talk will take place in the blue seminar room, back building, Žitná 25, and on Zoom. In this talk, we will introduce two structural properties of C*-algebras, quasidiagonality and the MF property. While both have been studied significantly in the past, several notable questions…
31 March 2026. Marvin Dippell, University of Cologne.
31 March 2026. Marvin Dippell, University of Cologne. Homotopies for Differential Hochschild Cohomology. This talk will take place in the blue seminar room, back building, Žitná 25, and on Zoom. The classical Hochschild–Kostant–Rosenberg (HKR) Theorem in Differential Geometry gives a quasi-isomorphism between the differentiable Hochschild complex of the algebra of smooth functions on a manifold…
NCG&T Prague
Contact us
praguencgt@gmail.com
Žitná
Žitná 25
115 67 Prague 1
(Nové Město)
Karlín
Sokolovská 83
186 75 Prague 8
(Karlín)
NCG&T Prague 