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: 

Postdocs:

• Mohammad Sohaib Khalid (Jan - Dec )
  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 May )

Recent and upcoming events:

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

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

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

• Jan 27 - Jan 31, Geome

  •

  Research

  Publications and Preprints

  Duality of Hessian manifolds and optimal transport

  To appear in Convex and Complex: Perspectives on Positivity in Geometry, AMS Contemporary Mathematics(CONM) 

  
  

  Solvability of Monge-Ampère equations and tropical affine structures on reflexive polytopes

  (with Rolf Andreasson)

  
  

  Tropical and non-Archimedean Monge--Ampère equations for a class of Calabi--Yau hypersurfaces 

  (with Mattias Jonsson, Enrica Mazzon, Nicholas McCleerey) 

  To appear in Advances in Mathematics

  arXiv

  
  

  Optimal Transport for Super Resolution Applied to Astronomy Imaging. (Michael Rawson, Jakob Hultgren)

  European Signal Processing Conference (EUSIPCO)

  arXiv

  
  

  Mutual asymptotic Fekete sequences

  arXiv

  
  

  Extremal potentials and equidistribution measures associated to collections of Kähler classes

  Mathematische Zeitschrift 

  DOI: (link to full text: ) 

  
  

  Unipotent Factorization of Vector Bundle Automorphisms (with Erlend F. Wold)

  International Journal of Mathematics Vol. 32, No. 03, ()

  DOI: (also at arXiv) 

  
  

  Coupled complex Monge-Ampère equations on Fano horosymmetric manifolds (with Thibaut Delcroix)

  Journal de Mathématiques Pures et Appliquées Volume ,

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Umeå DiGResS

Discrete math and Geometry Research Symposium

A workshop to bring tillsammans people from geometry and discrete mathematics to do open bekymmer sessions and interact informally. 

May 27 - May 29,

Organised with support from the Department of Mathematics and Mathematical Statistics, Umeå University.

Invited speakers:

Soffía Árnadóttir, DTU

Anurag Bishnoi, DELFT

Clive Elphick, Birmingham

Soffía Árnadóttir, DTU

Anurag Bishnoi, DELFT

Altar Ciceksiz, Umeå 

Clive Elphick, Birmingham

Victor Falgas Ravry, Umeå

Alexey Gordeev, Umeå

Jakob Hultgren, Umeå 

Sabrina Lato, Umeå 

Signe Lundqvist, Umeå

Klas Markström, Umeå

Tovohery Randrianarisoa, Umeå

Maryam Sharifzadeh, Umeå 

Klara Stokes, Umeå 

Istvan Tomon, Umeå 

Joannes Vermant, Umeå





Monday

- Registration and coffee

- Open bekymmer Session (Clive): My conjectures in spectral graph theory

Open Problems in Finite Geometry (Anurag)

- Break

Open bekymmer Session (Soffía)

Lunch

- Group Discussions

Coffee

- Open bekymmer Session (Jakob)

- Group Discussions

kurs Dinner

Tuesday

- Group Discussions at the math department (Seminarierummet and Stora Konferensrummet)

Coffee

S