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.
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)
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)
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)
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.