MARIE CURIE TRAINING SITE
(under 5th framework programme
of the European Community)
This programme finished its activities in 2004
for Differential Equations, Functional Analysis
and Stochastic Processes
Mathematics in Twenty First Century
Postgraduate program in Warsaw
The Banach Center of the
Institute of Mathematics of the Polish Academy of
Sciences, together with the Interdisciplinary Centre of the Mathematical and
Computational Modelling of the Warsaw University
invites Ph.D. students for research visits. Candidates are expected
to spend up to one year at the Center during the period 2000 - 2004.
The following topics will be covered (in parentheses the names of some
experts in the Training Site in the respective areas are given):
Depending on demand, intensive short courses and working seminars are
planned. The students are expected to participate in regular scientific
activities at the Banach Center and the Institute. Application and
computation-oriented research will be done at the Warsaw University
Interdisciplinary Centre for Mathematical and Computational Modelling.
- Partial differential equations:
equations of fluid, stochastic equations,
Sobolev and other function spaces, equations with infinite number of
variables (B. Bojarski,
- Control and system theory:
stochastic systems, nonlinear control,
nonholonomic systems, filtering theory, Markov decision processes,
one-dimensional real and complex iterations, deterministic chaos, fractals,
strange attractors, bifurcations
- Functional analysis:
convexity and probabilistic methods in Banach
spaces theory, theory of wavelets, general spectral theory, small
denominators, linearisation, resonances
(P. Wojtaszczyk, Z. Ciesielski, A. Pelczynski,
- Stochastic processes:
financial models, asymptotic and ergodic
properties, pricing of financial derivatives, portfolio management
- Mathematical biology,
(A. Lasota, R. Rudnicki),
systems, mathematical aspects and applications of membrane computing (A. Obtulowicz).
- Mathematical modelling of complex nonlinear structure formation
phenomena for technology, environment and biosciences
(M. Niezgodka, ICM)
The Institute hosting the training site is the largest and most active
mathematical centre between Berlin and Moscow. As such it provides
an important opportunity for visiting fellows, exposing them to new trends
in pure and applied mathematics. In particular it provides:
- An opportunity to work with active mathematicians - experts in the areas
of the proposal.
- Learning new ideas and techniques.
- Obtaining new results with the assistance of the research group.
- Scientifically profiting from numerous activities at the Banach Center,
leading to professional development of fellows.
- Opportunity to perform simulation and numerical modelling with the use
of supercomputer facilities.
- Access to one of the richest mathematical libraries in Europe.
- Gaining important personal national and international contacts with
Financial assistance for a limited number of fellows will be provided
(1200 Euro/month + travel support).
Cost of life in Warsaw. A limited number of rooms at the IMPAN
building are available (400 Euro +7% VAT per month). Cost of renting
studio in the
city, not in the very centre, is roughly the same. Food is slightly cheaper
than in EU countries.
Who is eligible.
- The fellow must be a national of a Member State of the Community or
residing in the Community for at least the last five years.
- Each project must be carried out in a country other than the fellow's
country of nationality and his/her recent centre of activity. A recent
centre of activity is defined as a country where the fellow has been
carrying out his/her normal activity for more than 12 months in the two
years immediately prior to the selection. The project must be carried out in
a country other than that where the fellow normally pursues his/her doctoral
- There are certain limitations for the total period of holding fellowship
of the Community.
- The fellow must have postgraduate level scientific qualifications: young
researchers holding a degree obtained from a university or equivalent
institution of higher education, which qualifies the holder to embark
directly on a doctorate or equivalent degree. The fellow must pursue
doctoral studies in the topics of the site.
- The fellow must be of age 35 years or less (exceptions for military
service or childcare).
Mathematics in Warsaw
Warsaw houses a major research community of about 200 mathematicians
(Ph.D.) representing a broad spectrum of contemporary mathematics, pure and
applied, mainly grouped in three major scientific institutions: Polish
Academy of Sciences, Warsaw University and Warsaw Technical University. As a
part of the Institute of Mathematics of the Polish Academy of Sciences, the
Stefan Banach International Mathematical Center organizes semesters,
workshops and conferences in spirit of the best tradition of Polish
Mathematical School. Last year, in these activities over 500 participants
coming from all over the world took part.
At the same time, ICM is a place where a broad range of research programs in
mathematical aspects of computational sciences and their real-life
applications is conducted.