Projects per year
Personal profile
Research
Most of my research is in differential geometry. I started out working on quaternionic geometries, and am still very much interested in this area, particularly the links with moment maps, Einstein metrics, supersymmetry, torsion geometry, duality and other physics-inspired ideas. I particularly enjoy being able to apply techniques from the theory of Lie groups to these fields.
Keywords
- Geometry
- Differential geometry
- Lie groups
- Topology
- Mathematical physics
Areas of expertise
- Mathematics
- Differential geometry
- Lie groups
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Dive into the research topics where Andrew Francis Swann 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
Recent external collaboration on country/territory level. Dive into details by clicking on the dots or
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CaLISTA: Cartan geometry, Lie, Integrable Systems, quantum group Theories for Applications
Swann, A. F. (Participant) & Fioresi, R. (PI)
14/10/2022 → 13/10/2026
Project: Research
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Toric special holonomy with enhanced symmetry
Swann, A. F. (PI)
01/01/2023 → 31/12/2023
Project: Research
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Torus symmetry and Einstein metrics
Swann, A. F. (Participant)
Independent Research Fund Denmark
01/11/2016 → 31/12/2019
Project: Research
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Tilskud til konferencen "Hitchin 70: Differential Geometry and Quantization"
01/09/2016 → 31/10/2016
Project: Research
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Homogeneous Riemannian Structures of Hyperbolic Type and Differential Invariants in Cohomology for Horizontal Forms
Swann, A. F. (Participant) & Gadea, P. (Applicant)
01/01/2012 → 31/12/2014
Project: Research
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Compatibility of Balanced and SKT Metrics on Two-Step Solvable Lie Groups
Freibert, M. & Swann, A., 2025, In: Transformation Groups. 30, p. 235-265Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review
Open Access -
Multi-toric geometries with larger compact symmetry
Swann, A. F. & Madsen, T. B., 2025, In: The Quarterly Journal of Mathematics. 76, 1, p. 349-365Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review
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A. Soldatenkov, Deformation principle and André motives of projective hyperkähler manifolds, Int. Math. Res. Not. IMRN 2022, no. 21, 16814-16843
Swann, A. F., 2024, In: MathSciNet. MR4504908.Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Literature review › Research
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Biquard, Olivier; Gauduchon, Paul. On toric Hermitian ALF gravitational instantons. Comm. Math. Phys. 399 (2023), no. 1, 389-422.
Swann, A. F., Feb 2024, In: MathSciNet. 2 p., MR4567377 .Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Literature review › Research
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Computing irregular hypar-based quad-mesh patterns for segmented timber shells
Hudert, M., Lindemann, D., Mangliár, L. & Swann, A., Dec 2024, In: Computer-Aided Design. 177, 103772.Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review
Activities
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Transactions of the American Mathematical Society (Journal)
Swann, A. F. (Editor)
Nov 2024Activity: Publication peer-review and editorial work types › Peer review of manuscripts › Research
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Advances in Mathematics (Journal)
Swann, A. F. (Editor)
Jun 2024Activity: Publication peer-review and editorial work types › Peer review of manuscripts › Research
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External report on Ph.D. thesis
Swann, A. F. (Examiner)
Jan 2024Activity: External lectures and Examination › Examination
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Poincaréformodningen Et millennium problem er løst
Swann, A. F. (Lecturer)
28 Sept 2023Activity: Presentations, memberships, ownership and other activities › Lecture and oral contribution
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Linear Algebra and Its Applications (Journal)
Swann, A. F. (Editor)
Sept 2023Activity: Publication peer-review and editorial work types › Peer review of manuscripts › Research