Research groups and grand challenges

FiRST brings together leading mathematicians in Finland to collaborate towards the advancement of the common research themes of "Randomness and Structures". It aims at the mathematical developments at the cross-roads between probabilistic methods, quantum and conformal field theory, geometric and harmonic analysis, partial differential equations and analytic number theory.
Our groups

By clicking on the links below you access the web-pages of the individual group.

A brief description of how the groups collaborate on key research questions follows at the bottom of this page.

Grand Challenges

Our research questions are central and timely topics in contemporary mathematics, and advances in them will have an immediate strong impact on their respective mathematical research fields. In order to give an idea of our research interests,  we mention here several 'Grand Challenges'  and the groups most directly involved in their study. We believe that even partial advances in the investigation of the problems listed below could constitute considerable achievements.

  • Robust methods for conformal analysis of random phenomena (PrM, GeA, MPh, CFT, RGe,QCM)

  • Fully fledged conformal field theories as scaling limits of lattice systems (CFT, MPh, HA, PrM )

  • Solution of Morrey's problem on vector-valued variational calculus (HA, QCM, PrM, GeA )

  • Optimal solution of the prescribed Jacobian problem (HA, QCM, GeA)

  • Spectral continuity for deterministic and random periodic problems (PDE, PrM, MPh )

  • Sarnak's conjecture on the random behaviour of the Liouville function (ANT)

  • Robust methods for non-Gaussian approximations of critical chaos applying to the Riemann zeta statistics (PrM, ANT, HA )

  • Novel distribution free methods for analyzing functional observations (StM, HA, PrM)

  • New inference algorithms for complex models and high dimensional data (ALG, PrM, QCM, PDE, GeA)

  • Mathematical foundations of non-equilibrium physics: large scale structure of solutions to dynamical systems (MPh, PDE, PrM, ALG )