Jakob Hultgren

Academic interests

Most of my work is related to complex geometry. I'm interested in canonical metrics on complex manifolds and their relations to algebro-geometric stability and concepts in probability theory. Along another line, I'm also interested in canonical metrics on certain real (affine) manifolds related to the Strominger-Yau-Zaslov conjecture in mirror symmetry. The main tools I use in my research come from geometric analysis. 

Background

I did my PhD at Chalmers University of Technology in Gothenburg, Sweden. My thesis advisors where Robert Berman and David Witt Nyström. I'm now a postdoc/visiting researcher at University of Oslo. From August 2019 - 2022 I will be at University of Maryland for a postdoctoral fellowship. 

Publications and Preprints

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

Preprint arXiv:1812.07218

 

Coupled Kähler-Ricci Solitons on Toric Fano Manifolds

To appear in Analysis & PDE

Preprint at arXiv:1711.09881

 

Coupled Kähler-Einstein Metrics (with David Witt Nyström)

International Mathematics Research Notices (2018)

https://doi.org/10.1093/imrn/rnx298 (older version available at arXiv:1608.07209)

 

An Optimal Transport Approach to Monge-Ampère Equations on Compact Hessian Manifolds (with Magnus Önnheim)

Journal of Geometric Analysis (2018)

https://doi.org/10.1007/s12220-018-0068-5 (open access)

 

Permanental Point Processes on Real Tori, Theta Functions and Monge-Ampère Equations

To appear in Annales de la faculté des sciences de Toulouse 

Preprint at arXiv:1604.05645.

Conference and Seminar Talks

  • Conference: Mapping problems and complex manifolds in projective spaces, Oslo (Dec 3, 2018)
  • Seminar: Séminaire de Géométrie Complexe, Institut de Mathématiques de Toulouse (Nov 22, 2018)
  • Seminar: Several Complex Variables Seminar, Universitet I Oslo (Feb 7, 2018)
  • Seminar: Informal Geometric Analysis Seminar, University of Maryland (Sep 5, 2017)
  • Conference: Meeting of the Swedish Math Society, Umeå (June 15, 2017)

  • Conference: Spring School on Kähler Geometry, Nantes (April 20, 2017)

  • Conference: Monge-Ampere equation and Calabi-Yau manifolds, Laboratory of Alg. Geometry, Moscow (May 23, 2016) (They videotaped it: https://goo.gl/HRsXy7)

  • Conference: Gothenburg – Oslo Meeting on Complex Analysis, Oslo (December 12, 2014)

Other things

  • I gave a four part mini course for grad students and faculty at the University of Maryland. The topic was statistical mechanics and large deviation principles. (29 & 31 August, 5 & 7 September 2017)

  • I organized a special grad student/postdoc ice breaker session at the Maryland Analysis and Geometry Atelier in College Park, US (https://www-math.umd.edu/maga.html)

  • I was responsible for the grad student seminar at the math department at Chalmers (during spring 2015): http://www.math.chalmers.se/~hultgrej/PhDSeminarProgram.html

  • I got an award (Guldkärnan) for my teaching at the course in Linear Algebra and Numerical Analysis for Engineering Physics students during spring 2017 at Chalmers.

  • As a PhD student at Chalmers I gave three general orientation seminars about theta functions and toric geometry for other PhD students and faculty.

  • During autumn 2016 I volunteered as a teacher in Uganda.

Tags: Mathematics, Several Complex Variables Error when retrieving publications from Cristin
Published Aug. 3, 2018 8:23 AM - Last modified Dec. 20, 2018 2:46 PM

Research groups