I algebraic geometry

Existing and previous research collaborations:

• 
  P.M. Hajac: 13 collaborators
  
• 
  P.F. Baum: 23 collaborators
  
• 
  T. Maszczyk: 3 collaborators
  
• 
  A. Skalski: 8 collaborators
  
• 
  P.M. Soltan: 3 collaborators
  
• 
  B. Zielinski: 6 collaborators
  

VIII. AFFINE ALGEBRAIC GEOMETRY AND SYMPLECTIC GEOMETRY. CRYPTOLOGY.
Team leader: prof. Zbigniew Jelonek
Members:

• 
  prof. Stanisław Janeczko
  
• 
  dr Robert Dryło
  
• 
  2 Ph.D. students
  

Outside members of the team:

• 
  prof. Krzysztof Kurdyka (Savoie University, France)
  

Research mission and objectives:

To attain/maintain a top world level in investigations of affine varieties, morphism and automorphisms of these varieties and spaces related to them, and applications to symplectic geometry. In particular:

1. 
   Bifurcation points of a complex polynomial
   
2. 
   K-uniruled varieties and the set of non-properness of morphisms of such varieties
   
3. 
   The automorphism group of affine variety
   
4. 
   The Abhyankar-Moh property and exotic embeddings of affine varieties
   
5. 
   Algebraic vector bundles and the Cancellation Problem
   
6. 
   Polynomial symplectic geometry
   
7. 
   Dealing with (and finding new roads) in some problems in cryptology