I algebraic geometry

Current research:

T. Januszkiewicz has following active projects in advanced stages:

1. 
   collaboration with Davis, Dymara, and Okun on weighted cohomology of Coxeter groups, trying to go beyond results of [DDJO].
   
2. 
   2. collaboration with Ian Leary (Ohio State U) aiming at constructions of new high dimensional Kazhdan groups. Techniques used are related to papers [Fix]
   
3. 
   collaboration with Swiatkowski aimed at the study of "mock buildings": a class of cubical CAT0 spaces generalizing buildings. It rests on the work of Davis Januszkiewicz and Scott and the work of Rick Scott on "mock reflection groups" He also has initial stages of projects related to items 1,2,4 of the Research Objectives above.
   

P. Przytycki continues his project with P.-E. Caprace to completely solve the isomorphism problem for Coxeter groups. He also collaborates with S.Hensel (Bonn), A. Nagorko (Warsaw), F. Gueritaud (Lille) in a project to understand the topology of ending lamination space.