Geometric Analysis and Mathematical Physics

Centre of Excellence 2002-2007

The centre of excellence Geometric Analysis and Mathematical Physics combines some central fields of research in mathematical analysis and mathematical physics. Analysis is one of the major branches of mathematics and it plays a central role in the applications of mathematics to science and technology. Mathematical physics has during the past decades become one of the most prestigious fields in mathematics. It has created surprising connections between fields of mathematics that were thought to be independent and it has provided fresh applications to the most recent new ideas in mathematics. Examples of this intersection between physics and mathematics are such concepts familiar from polular science as "chaos", "complexity" and "fractals". These fields are strongly represented in the research unit. Its researchers work among other things on dynamical systems ("chaos"), geometric measure theory ("fractals") and statistical mechanics and turbulence ("complexity").

The research unit consists of three teams:

Geometric analysis (University of Jyväskylä)
Leader: Professor Pekka Koskela
Senior members: Professor Tero Kilpeläinen, Professor Esa Järvenpää, Maarit Järvenpää, Jouni Parkkonen, Xiao Zhong
Post-doctoral members: Petri Juutinen
Mathematical Physics (University of Helsinki)
Leader: Academy Professor Antti Kupiainen
Post-doctoral members: Paolo Muratore-Ginannechi, Ville Hakulinen, Alain Schenkel
Nonlinear PDEs and Metric Concepts in Analysis (University of Helsinki)
Leader: Professor Olli Martio
Senior members: Professor Kari Astala, Professor Pertti Mattila, Professor Pekka Tukia, Ilkka Holopainen, Ritva Hurri-Syrjänen
Post-doctoral members: Petteri Harjulehto, Mika Koskenoja

The unit is headed by Professor Pertti Mattila from University of Helsinki.

Seminars

Seminar of the Center of Excellence of Geometric Analysis and Mathematical Physics (May 15-16, 2006, Department of Mathematics and Statistics, University of Helsinki)
Seminar of the Center of Excellence of Geometric Analysis and Mathematical Physics (April 26-27, 2004, Department of Mathematics and Statistics, University of Helsinki)