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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Collaborations and top research areas from the last five years
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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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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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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
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Li, Yang. Strominger-Yau-Zaslow conjecture for Calabi-Yau hypersurfaces in the Fermat family. Acta Math. 229 (2022), no. 1, 1-53.
Swann, A. F., Mar 2024, In: MathSciNet. MR4460593.Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Literature review › Research
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Altavilla, Amedeo; Ballico, Edoardo; Brambilla, Maria Chiara and Salamon, Simon. Twistor geometry of the flag manifold. Math. Z. 303 (2023), no.1, Paper No. 24, 43 pp.
Swann, A. F., Nov 2023, In: MathSciNet. MR4522734.Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Literature review › Communication
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Boyer, Charles P. and Tønnesen-Friedman, Christina W. Iterated S3 Sasaki joins and Bott orbifolds. Ann. Fac. Sci. Toulouse Math. (6) 31 (2022), no. 3, 837–860.
Swann, A. F., Mar 2023, In: MathSciNet. MR4452254.Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Literature review › Communication
Activities
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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
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Mathematics Seminar
Swann, A. F. (Organizer) & Madsen, T. B. (Speaker)
17 Aug 2023Activity: Participating in or organising an event types › Participation in or organisation of workshop, seminar or course
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Nearly Kähler manifolds with symmetry
Swann, A. F. (Lecturer)
4 Jul 2023Activity: Presentations, memberships, ownership and other activities › Lecture and oral contribution