Jakob Hultgren

Jakob Hultgren is an Associate Professor in Mathematics at Umeå University's Department of Mathematics and Mathematical Statistics, specializing in complex geometry and partial differential equations. His research examines connections between geometry and PDEs, particularly focusing on Monge-Ampère equations and their applications to mirror symmetry and optimal transport.

Research interests center on canonical metrics on complex manifolds, degenerating families of Calabi-Yau manifolds, and special Lagrangian torus fibrations. Hultgren's work frequently bridges pure mathematics with applications in signal processing and machine learning through geometric approaches.

He currently supervises doctoral candidates researching SYZ mirror symmetry and canonical heights in Arakelov geometry. Teaching responsibilities include courses in calculus, discrete mathematics, and specialized graduate topics in optimal transport and geometry.