Stefan Helmke

Stefan Helmke is an Assistant Professor at the Research Institute for Mathematical Sciences (RIMS) at Kyoto University. His research focuses on foundational problems in algebraic geometry, particularly the study of base points in linear systems and their geometric implications.

• Primary research area: Algebraic Geometry, with emphasis on linear systems and conjectures like Fujita's.
• Secondary research interest: Interplay between deformations of singularities and algebraic group structures, extending classical work by Brieskorn, Grothendieck, and Slodowy.

He has successfully generalized key constructions to non-complete intersection singularities (degrees 5 and 6), building on foundational theories in singularity analysis.