I algebraic geometry

JAROSLAW BUCZYNSKI is a young researcher 4 years after receiving his PhD, after a period of his postdoctoral mobility within the Marie Sklodowska Curie program International outgoing fellowship. His research so far concentrates on three subjects: contact manifolds, toric geometry, and secant varieties. Thanks to his publications and numerous travels and research visits to universities and research institutes in Europe, US and Australia, and South Korea, he has become a worldwide recognized expert in these subjects. His plans are to continue the research in these three areas, as well as to approach problems in the geometry of Calabi-Yau manifolds and hyperkaehler manifolds. He is certainly an attractive collaborator to numerous researchers and has some experience in mentoring mathematicians on earlier stages of their career. The subject of secant varieties is a classical subject of algebraic geometry, which has recently become important and popular due to its applications to signal processing and statistics. We plan to focus on an interaction between scientists and engineers, which is important as the two societies speak different language and for instance some well know problems for engineers have been solved by mathematicians a decade earlier. So definitely there is a need for communication and improving the dictionaries between the two areas.

Jaroslaw Buczynski plans a 3 month visit to University of Oslo to collaborate with Professor Kristian Ranestad on the following two topics: secant varieties and their generalizations, and Calabi-Yau manifolds. This would be a continuation of a collaboration that commenced in 2011. Another 3 month visit is planned to University of Zurich to collaborate with Dr Michal Kapustka on the subject of hyperkeahler manifolds and contact manifolds.

A 1 year postdoctoral position will be opened for applicants to work on the subject of secant varieties and their interactions with applications.