I algebraic geometry

Research mission, objectives and future careers of our visitors.
The rapidly developing techniques of molecular biology and genetics produce large quantities of data, that demand mathematical analysis and modeling. Nowadays, mathematical modeling of biological processes is a central topic in modern biology and some biologists find that mathematical models are absolutely essential for research in modern biology. Mathematics provides a broad spectrum of methods to study biological and medical issues. The models use all types of differential equations, probability theory, dynamical systems, discrete mathematics and also very complicated systems which include age, stage or size structures.

Using mathematical models one can analyze populations and biological systems at various levels, including cells, genes, and biomolecules.

Although first mathematical methods appeared in demography, they have become increasingly important in almost all branches of biology including ecology,

epidemiology and infectious diseases, genetics, physiology, immunology and cancer growth.

Our aim is to construct models of new biological phenomena which appear in genetics and cells physiology

and to provide new mathematical tools to study existing biological models.

We address our programme concerning biomathematics to people who want to enhance their background in science and prepare them for modern jobs

connected with medicine, pharmacy and biotechnological industry.

The leader of our team in biomathematics team Prof. Ryszard Rudnicki has a long-term scientific and teaching experience in this field.

He was the president of the Scientific and Organizing Committees of VIII European Conference on Mathematical and Theoretical Biology,

Kraków, June 28 - July 2, 2011. This meeting brought almost 1000 participants together from 48 countries.


VII. QUANTUM – NONCOMMUTATIVE GEOMETRY
Team leader: dr hab. Piotr M. Hajac
Members:

• 
  Prof. Paul Frank Baum (visiting professor)
  
• 
  Dr Tomasz Maszczyk (part time)
  
• 
  Jan Rudnik (Ph.D. student)
  
• 
  Dr Adam Skalski (post-doc)
  
• 
  Dr hab. Piotr M. Sołtan (part time)
  
• 
  Dr Bartosz Zieliński (part time)