I algebraic geometry

Major research achievements:

JANUSZKIEWICZ has published 36 papers which were cited 310 times by 243 authors. His Hirsh index is 11. He was the only Polish invited speaker at the recent International Congress of Mathematicians in Hyderabad in 2010. In 2009 he received the main prize of the Polish Mathematical Society – Banach Prize. His major mathematical research achievements are:

1. 
   Creation of a small but active field of "toric topology" with the paper [CO]
   
2. 
   Elaborating in [HoP] on hyperbolization procedure of Gromov, still the richest source of examples of CAT0 spaces.
   
3. 
   A breakthrough paper with Jan Dymara [CB] on cohomology computations of buildings. The sequel to this was the series of 5 papers starting with[DDJO] dealing with other cohomology computations of buildings and related spaces.
   
4. 
   Invention and in depth study, together with Jacek Swiatkowski, of Simplicial Nonpositive curvature [SNPC 1,2,3]. There are about 20 follow up papers listed on http://www.math.uni.wroc.pl/~elsner/snpc.html
   

Januszkiewicz collaborated for more than 20 years with Michael W. Davis from Ohio State University. Items 1, 2, 3 above are joint with Davis (and others).

P. PRZYTYCKI (PhD in 2008) has together 11 papers published or accepted for publication.

His achievements are:

1. 
   Study of Simplicial Nonpositive curvature (hyperbolicity, fixed-point theorem, boundaries-with Daman Osajda)
   
2. 
   Study of boundaries of Gromov-hyperbolic spaces: Coxeter groups with Jacek Swiatkowski, random groups with Dahmani and Guirardel, the curve complex with Sebastian Hensel
   
3. 
   Partial solution of the isomorphism problem for Coxeter groups with Pierre-Emmanuel Caprace
   

In 2009 he received Polish Mathematical Society award for young mathematicians and Prime Minister award for his PhD thesis.