I algebraic geometry

GRZEGORZ KAPUSTKA is a young researcher 4 years after his PhD. His thesis concerned primitive contractions of Calabi-Yau manifolds where the main result is the counstruction of several examples of new Calabi-Yau threefolds with Picard group of rank one. His research is now concentrated on hypekahler manifolds. More precisely he works on the O'Grady program of classification of hyperkahler fourfolds, where he recently made a significant progress.

Kapustka after his numerous research visits in several Universities in Europe finds a collaboration with famous mathematicians in this area. He has also an experience in mentoring mathematicians on an earlier stage of their carrier (the advisor of two master students).

Kapustka plans a 2 month visit in the University of Roma to collaborate with Prof. Kieran O'Grady on his conjecture about hyperkeahler manifolds. He plans also a 2 month visit to the University Paris VI (or de Versailles Saint-Quentin-en-Yvelines) to collabotrate with Prof. Laurent

Gruson. This would be a continuation of a collaboration on a special case of the O'Grady conjecture.

A 1 year postdoctoral position will be opened for applicants to work on the subject of hyperkaehler manifolds.