Jakob Hultgren

I’m an associate professor at the department of Mathematics and Mathematical Statistics at Umeå University. See my university page, for exact physical adress and email adress. 

My research field is Complex Geometry and Geometric Analysis. 

PhD students: 

• Noémie Vlaanderen Oldenzeel
  Noémie will work on the SYZ conjecture in mirror symmetry, bridging the framework of non-Archimedean geometry with the PDE theory for real Monge-Ampère equations. She is estimated to graduate in Spring 2029. 

• Rolf Andreasson (co-supervised with Robert Berman)
  Rolf  has worked on canonical heights in Arakelov geometry (see arXiv:2205.00730, arXiv:2312.05064, arXiv:2406.19785) and real Monge-Ampère equations in SYZ mirror symmetry (see arXiv:2303.05276, arXiv:2403.01620). He is estimated to graduate in Spring 2026. 

Postdocs:

• Mohammad Sohaib Khalid (Jan 2025 - Dec 2026)
  Sohaib's research concerns stability conditions in complex geoemtry. In particular, his research shows that for a large class of PDEs (including the Z-critical equation and the deformed Hermitian Yang Mills equation), instability is characterized by a particular set of destabilizing subvarieties. When Sohaib comes to Umeå, we will, among other things, work on stability conditions for PDEs related to the SYZ picture of mirror symmetry. 

• Tran Trung Nghiem (March 2025- May 2025)

Recent and upcoming events:

• Nov 10 - Nov 14, 2025 Non-Archimedean methods in complex geometry, AIM, Pasadena, California

• Sep 1 - Sep 5, 2025 Singular canonical Kähler metrics on compact and non-compact manifolds, Alfréd Rényi Institute of Mathemathics, Budapest

• Jun 16 - Jun 20, 2025 PREDICT: PRobabilistic mEthoDs in Complex geomeTry, Como, Italy

• Jan 27 - Jan 31, Geometric Flows and Quantization of Kähler Metrics, Brussels

• Nov 17 - Nov 23, 2024 Recent Advances in Mirror Symmetry and Degenerations, IMSA, Miami

Some plots of the Monge-Ampère metric on the boundary of the unit simplex, related to the SYZ-conjecture and joint work with Andreasson, Jonsson, Mazzon and McCleerey.