Projects per year
Personal profile
Research
My primary research interest is Kähler geometry, which lies at the intersection of complex algebraic and differential geometry. More precisely, my work revolves around the question of existence of canonical metrics, e.g. constant scalar curvature metrics, as well characterising algebraically or analytically the solvability of more broad classes of geometric partial differential equations, including Donaldson's J-equation and other generalised Monge-Ampère equations.
Teaching
Spring 2024: Differential Equations (Bachelor)
Fall 2024: Advanced Topics in Complex Analysis (Master)
Supervision of Talent Track/Bachelor/Master/PhD students.
Areas of expertise
- Geometry
Fingerprint
Dive into the research topics where Zakarias Sjöström Dyrefelt is active. These topic labels come from the works of this person. Together they form a unique fingerprint.
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Collaborations and top research areas from the last five years
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Projects
- 1 Active
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Effective Testing in Complex Geometry (Villum Young Investigator Starting Grant)
01/06/2024 → 31/05/2029
Project: Research
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The Set of Destabilizing Curves for Deformed Hermitian Yang–Mills and Z-Critical Equations on Surfaces
Khalid, S. & Dyrefelt, Z. S., Apr 2024, In: International Mathematics Research Notices. 2024, 7, p. 5773-5814 42 p.Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review
Open Access -
Wall-Chamber Decompositions for Generalized Monge-Ampère Equations
Khalid, S. & Sjöström Dyrefelt, Z., 28 Dec 2024.Research output: Working paper/Preprint › Preprint
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Existence of cscK metrics on smooth minimal models
Sjöström Dyrefelt, Z., Mar 2022, In: Annali della Scuola Normale Superiore di Pisa - Classe di Scienze. XXIII, 1, p. 223-232 10 p.Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review
6 Citations (Scopus) -
On K-polystability of cscK manifolds with transcendental cohomology class: with an appendix by R. Dervan
Sjöström Dyrefelt, Z., 2020, In: International Mathematics Research Notices. 2020, 9, p. 2769-2817 49 p.Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review
8 Citations (Scopus) -
Optimal lower bounds for Donaldson's J-functional.
Sjöström Dyrefelt, Z., 18 Nov 2020, In: Advances in Mathematics. 374, 107271.Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review
Open Access9 Citations (Scopus)
Activities
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Gothenburg Complex Geometry conference (Gothenburg)
Sjöström Dyrefelt, Z. (Lecturer)
26 Sept 2024Activity: Presentations, memberships, employment, ownership and other activities › Lecture and oral contribution
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Nordic Complex Analysis Meeting XXV (Nordan)
Sjöström Dyrefelt, Z. (Lecturer)
May 2024Activity: Presentations, memberships, employment, ownership and other activities › Lecture and oral contribution
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Seminaire d'Analyse et Géometrie (Angers)
Sjöström Dyrefelt, Z. (Lecturer)
Apr 2024Activity: Presentations, memberships, employment, ownership and other activities › Lecture and oral contribution
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New Equivariant Methods in Algebraic and Differential Geometry (Cambridge)
Sjöström Dyrefelt, Z. (Lecturer)
Feb 2024Activity: Presentations, memberships, employment, ownership and other activities › Lecture and oral contribution
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Stability in Kähler geometry (Geometry & TACOS synchronous online conference)
Sjöström Dyrefelt, Z. (Lecturer)
May 2023Activity: Presentations, memberships, employment, ownership and other activities › Lecture and oral contribution
Courses
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Advanced Topics in Complex Analysis (Lecturer and Course Responsible)
Sjöström Dyrefelt, Z. 01/09/2022 → 20/10/2022
Course: Teaching
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Advanced Topics in Complex Analysis (Lecturer and Course Responsible)
Sjöström Dyrefelt, Z. 01/09/2023 → 20/10/2023
Course: Teaching
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Co-supervision of PhD student at SISSA, Italy
Sjöström Dyrefelt, Z. 01/10/2021 → 30/09/2024
Course: Supervising