I algebraic geometry

Major research achievements:

F. PRZYTYCKI has published 58 papers, some of them in top mathematical journals, e.g. Annals of Math. (1), Inventiones Math. (4). He has MathSciNet Math. Rev. 574 citations by 321 authors, one of highest in mathematics in Poland. His Hirsch index is 14.

He coordinated FP5 Centre of Excellence INCO `IMPAN-BC', FP5 MC-Training Site BANACH and FP6 ToK SPADE2. He has been a coordinator of the Warsaw node of FP6 RTN: CODY (Conformal Structures and Dynamics) 2007-2010, and the chair of the scientific committee of the network. He has (co)pioneered in:

1. 
   Estimates of entropy discoveries, with Misiurewicz and Marzantowicz, e.g. [MP]
   
2. 
   Ergodic properties of linked twists and related mappings, e.g.
   
3. 
   Hyperbolic endomorphisms, fundamentals of the theory, e.g.
   
4. 
   Boundary behaviour of univalent functions in presence of dynamics. Discovery of the very singular vs absolutely continuous dichotomy. E.g. Przytycki, Urbanski, Zdunik [PUZ]
   
5. 
   Proof of the conjectured topological invariance of the Collet-Eckmann condition. Fundamentals of the non-uniform hyperbolicity theory for maps of interval and holomorphic maps, thermodynamical formalism, see e.g. [PRS] by Przytycki, Rivera-Letelier and Smirnov.
   

F. Przytycki is an elected ordinary member of the Warsaw Scientific Society. He has been scientific director of IMPAS for 8 years. Since 2010 he is its director.

M. RAMS has about 15 papers published in renowned international journals; mostly cited (MathSciNet: 26) is [PRSS] by Peres, Rams, Simon and Solomyak.

Rams has invented new geometric methods to estimate fractal dimensions of limit fractals for non-conformal IFS' and their projections. Remarkable is his series of recent papers on fractal percolations. With E. Gutkin he has been working on the complexity of polygonal (polyhedral) billiards, see e.g. [GR]. In 2000 he has obtained Polish Prime Minister Award for the outstanding PhD thesis.