Lektor i matematik med fokus på komplex geometri och partiella differentialekvationer.
Most of my research is focused on complex geometry. Two important topics in this field are (1) canonical metrics on complex manifolds and their relationship to moduli spaces and stability in algebraic geometry and (2) degenerat families of Calabi-Yau mainfolds, special Lagrangian torus fibrations and mirror symmetry. I'm also interested in applications of geometric ideas to signal processing. My research often utilizes connections between geometry and partial differential equationsy. At the heart of my research lies the real and complex Monge-Ampère equations, which have connections to geometry, optics, meteorology and machine learning.
Research interests: Real and complex Monge-Ampère equations, canonical Kähler metrics, K-stability, Calabi-Yau manifolds, optimal transport, affine geometry, tropical manifolds.
For more information, see: https://sites.google.com/view/jakob-hultgren/home