I algebraic geometry

Some current research:

1. 
   Identification of basic invariants of dynamic pairs, including dynamic pairs
   
2. 
   Understanding complete invariants of the motion planning problem for 1-step (and k-step) generating distributions (Krynski, Jakubczyk, Pietrzkowski)
   
3. 
   Finding fast oscillating, asymptotically optimal controls for the motion planning problem with distributions of non-free nilpotent approximation (Pietrzkowski, Jakubczyk).
   

Existing and previous research collaborations include:

B. Jakubczyk: W. Respondek (INSA-Rouen, France), E. Sontag (Rutgers University, USA), J.P. Gauthier (France), V.Zakalyukin (Steklov Institute, Russia), M. Zhitomirskii (Technion, Israel).

S. Janeczko: C. Ishikawa (Japan), M. Roberts (United Kingdom), V. Zakalyukin (Russia), M. Zhitomirskii (Technion, Israel).

P. Nurowski: A. Rod Gover (New Zeeland), G.A.J. Sparling (USA), J.F. Plebanski (Mexico), S.Frittelli and E.T. Newman (USA), C. Kozameh (Argentina).

P. Mormul: M. Zhitomirskii (Technion, Israel), M. Cheaito, W. Pasillas and W. Respondek (France).

W. Krynski: I. Zelenko (Texas A&M University, USA), A. Cap (Vienna, Austria).

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