Geometry and Topology in Physical Models


International PhD Programme in Mathematics, Mathematical Physics and Computer Science


The following 11 projects started in 2010:

1. Global dynamics of asymptotically anti-de Sitter spacetimes, Polish supervisor: Piotr Bizoń
2. Singularity formation, critical behavior, and topology change for geometric heat flows, Polish supervisor: Piotr Bizoń
3. Applications of stochastic analysis in economy and natural sciences, Polish supervisor: Armen Edigarian
4. Extension of separately holomorphic functions with singularities, Polish supervisor: Marek Jarnicki
5. The Monge-Ampère equation and the Kähler-Ricci flow, Polish supervisor: Sławomir Kołodziej
6. Homology and cohomology algorithms with applications, Polish supervisor: Marian Mrozek
7 and 8. Spectral action in Noncommutative Geometry, Polish supervisor: Andrzej Sitarz
9. Geometry of foliated manifolds and singular spaces, Polish supervisor: Robert Wolak
10. Computer assisted proofs in Hamiltonian dynamics and celestial mechanics, Polish supervisor: Piotr Zgliczyński
11. Holomorphically invariant functions in special classes of domains, Polish supervisor: Włodzimierz Zwonek


The following 5 projects will start in 2011 (the deadline for applications is April 30, 2011):

12. Monge-Ampère equation on compact Kähler manifolds, Polish supervisor: Zbigniew Błocki
13. Holomorphic discs in higher dimensional complex analysis, Polish supervisor: Armen Edigarian
14. Cegrell classes of plurisubharmonic functions, Polish supervisor: Sławomir Kołodziej
15. Homological methods in rigorous numerics of dynamical systems, Polish supervisor: Marian Mrozek
16. Computer assisted proofs in dynamics of dissipative PDEs, Polish supervisor: Piotr Zgliczyński


Students participating in the programme.