I algebraic geometry

Current research: Z. Jelonek launched studies in all the topics in the objectives section: a)-e).
Existing and previous research collaborations:

Prof. Jelonek collaborates with K. Kurdyka and Adam Parusinski (France), as well as J. Wlodarczyk from USA.

Future research plans are related to the main research objectives:

Continue existing projects and involving in new ones, as described in Section 2, in particular in cryptology:

1. 
   Arithmetic in finite fields and polynomial equations (normal basis, fast algorithms for arithmetical operations)
   
2. 
   Polynomial equations
   
3. 
   Elliptic and hyperelliptic curves
   
4. 
   Elements of number theory groups of ideals of orders
   

IX. DYNAMICAL SYSTEMS
Team leader: Prof. Feliks Przytycki
Members:

• 
  dr hab. Michal Rams
  
• 
  4 Ph.D students
  

On part time positions:

• 
  prof. Eugene Gutkin (Nicolaus Copernicus University, Torun)
  
• 
  prof. Maciej Wojtkowski (tentative from 2011, Olsztyn)
  
• 
  prof. Mariusz Lemanczyk (Nicolaus Copernicus University, Torun)
  

Outside members of the team:

• 
  dr Ludwik Jaksztas (Warsaw University of Technology)
  
• 
  prof. Janina Kotus (Warsaw University of Technology)
  
• 
  dr Boguslawa Karpinska (Warsaw University of Technology)
  
• 
  prof. Grzegorz Swiatek (Warsaw University of Technology)
  
• 
  prof. Anna Zdunik (University of Warsaw)
  
• 
  dr hab. Krzysztof Baranski (University of Warsaw)