I am a mathematician working in Complex Geometry, specifically canonical Kähler metrics, K-stability, and related questions. Since 2026 I am an Associate Professor at Aarhus University, Denmark. Previously, I have been Tenure Track Assistant Professor at the Aarhus Institute of Advanced Studies, and postdoc at SISSA and ICTP in Trieste, Italy, and Chalmers University of Technology in Gothenburg, Sweden. My PhD was supervised by Sébastien Boucksom (École Polytechnique, Paris) and Vincent Guedj (Université de Toulouse III). I am originally from Gothenburg, Sweden. 

2024 - 2029: I am P.I. for the Villum Young Investigator grant "Effective Testing in Complex Geometry" awarded by the Villum Foundation. 

I have papers and preprints. 

New preprint "cscK metrics on birational models of projective varieties": In a preprint from August 4th, 2026, we prove that every complex projective variety is birational to a smooth projective variety which admits a cscK metric. See https://arxiv.org/pdf/2608.03572

AI-generated point-blowups on threefolds improvement (explained with S. Khalib): In September I held discussions with a commercial LLM that led to an interesting AI-generated improvement of the threefold case of the above "csck metrics on birational models of projective varieties" preprint, allowing point blowups rather than the codimension two Lefschetz construction that works in all dimensions. The proof stays close to the proof strategy of the above mentioned original paper (which the model was given as a starting point). The novelty is a lemma controlling the delta invariant in this point-blowup situation on threefolds, using a clever combination of standard tools from algebraic geometry, checked together with Sohaib Khalid. A joint human-written and human-digested exposition of the AI-generated improvement is underway.

New preprint on the J-equation (with P. Sivaram): We prove finiteness and rigidity results for optimally destabilizing subvarieties for the J-equation. See https://arxiv.org/pdf/2608.31122. 

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Students and postdocs:

• Killian Sylvestre (PhD student, Aarhus University, 2025 - ongoing)

• Sivaram Petchimuthu (Postdoc, Aarhus University, 2024 - ongoing)

• Sohaib Khalid (PhD student, SISSA, co-supervised with J. Stoppa, 2021 - 2024). 

• Michael Hallam (Postdoc, Aarhus University, 2022 - 2024).  

Welcome also to Master's student Jeppe Lykke Elbaek (AU, 2025-2026). 

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Please note my new contact info:

E-mail: dyrefelt (at) math (dot) au (dot) dk 

Visiting address: Institut for Matematik, Aarhus Universitet, Ny Munkegade 118, bygn. 1530, 8000 Aarhus C. 

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Activities: 

• I am one of the co-organizers of the Complex Analysis and Geometry session at the Nordic Congress of Mathematicians, which will take place in Akureyri, Iceland, June 2027. 

• I am a co-organizer of the "Aarhus-Gothenburg complex geometry seminar series", together with A. Otiman, C. Spotti, L. Sektnan, D. Witt-Nyström and R. Berman. If you are interested in joining the next edition, please contact me or one of the other organizers.

• In June 2022 I co-organized a workshop "Kähler and non-Kähler geometry: New developments and interactions", at Aarhus Institute of Advanced Studies, Aarhus, together with Alexandra Otiman and Cristiano Spotti. Webpage: https://aias.au.dk/events/international-workshop-kaehler-and-non-kaehler-geometry.

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Briefly about my time before coming to Aarhus: I was a SISSA Mathematical Fellowship holder at SISSA in Trieste, Italy,  and held postdoctoral fellowships at ICTP (with C. Arezzo) and Chalmers University of Technology (with R. Berman). My PhD was received in 2017 from a joint program between École Polytechnique, Paris, and Université Paul Sabatier, Toulouse, under the joint supervision of Sébastien Boucksom and Vincent Guedj. The title of my dissertation was "K-stabilité et variétés kähleriennes avec classe transcendante", defended on 15/09/2017 to the following jury: Paul Gauduchon (Chairman), Jacopo Stoppa (Rapporteur), Robert Berman (Rapporteur), Eveline Legendre, Julien Keller, Sébastien Boucksom (Adviser) and Vincent Guedj (Adviser).