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 algebrogeometric stability and concepts in probability theory. Along another line, I'm also interested in canonical metrics on certain real (affine) manifolds related to the StromingerYauZaslov 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 MongeAmpère equations on Fano horosymmetric manifolds (with Thibaut Delcroix)
Preprint arXiv:1812.07218
Coupled KählerRicci Solitons on Toric Fano Manifolds
To appear in Analysis & PDE
Preprint at arXiv:1711.09881
Coupled KählerEinstein 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 MongeAmpère Equations on Compact Hessian Manifolds (with Magnus Önnheim)
Journal of Geometric Analysis (2018)
https://doi.org/10.1007/s1222001800685 (open access)
Permanental Point Processes on Real Tori, Theta Functions and MongeAmpère 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: MongeAmpere equation and CalabiYau 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://wwwmath.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.