Yan Soibelman


Yakov Soibelman born 15 April 1956 is a Russian mathematician, professor of Kansas State University, member of the , founder of Manhattan Mathematical Olympiad.

Scientific work

Yan Soibelman is a specialist in theory of quantum groups. He introduced the notion of quantum Weyl group, studied algebras of functions on compact quantum groups, and meromorphic braided monoidal categories. His recent work is devoted to various algebraic and differential-geometric aspects of homological mirror symmetry, including a proof of Deligne conjecture about operations on the cohomological Hochschild complex, and a direct construction of Calabi-Yau varieties based on SYZ conjecture and non-archimedean geometry. In a recent preprint a new hypothetical wall-crossing formula for changes of BPS states was proposed.