Projects per year
Personal profile
Research interests
My main interests lie in geometric approaches to the study of non-linear equations in Differential Geometry and Theoretical Physics. In particular, I have worked extensively on twistorial and soliton theoretic methods for harmonic maps, isothermic surfaces and related problems in both Riemannian and parabolic geometries.
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Collaborations and top research areas from the last five years
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Projects
- 3 Finished
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Topology of Quarternionic Manifolds with Group Actions
Burstall, F. (PI)
18/08/08 → 1/09/08
Project: Research council
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ANALYSIS AND PARTIAL DIFFERENTIAL EQUATIONS
Moser, R. (PI) & Burstall, F. (CoI)
Engineering and Physical Sciences Research Council
1/10/05 → 30/09/10
Project: Research council
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ANALYSIS AND PARTIAL DIFFERENTIAL EQUATIONS
Matthies, K. (PI) & Burstall, F. (CoI)
Engineering and Physical Sciences Research Council
1/09/05 → 31/08/10
Project: Research council
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Harmonic Riemannian submersions between Riemannian symmetric spaces of noncompact type
Burstall, F., 25 Sept 2024, (E-pub ahead of print) In: Bulletin of the London Mathematical Society.Research output: Contribution to journal › Article › peer-review
Open Access28 Downloads (Pure) -
Isothermic surfaces and conservation laws
Burstall, F. E., Carberry, E., Hertrich-Jeromin, U. & Pedit, F., 19 Jan 2024, Springer, (MATRIX Annals).Research output: Working paper / Preprint › Preprint
File25 Downloads (Pure) -
Discrete Ω-nets and Guichard nets via discrete Koenigs nets
Burstall, F., Cho, J., Hertrich-Jeromin, U., Pember, M. & Rossman, W., 28 Feb 2023, In: Proceedings of the London Mathematical Society. 126, 2, p. 790-836Research output: Contribution to journal › Article › peer-review
Open Access3 Citations (SciVal) -
Lie applicable surfaces and curved flats
Burstall, F. & Pember, M., 31 Jul 2022, In: Manuscripta Mathematica. 168, 3-4, p. 525–533 9 p.Research output: Contribution to journal › Article › peer-review
Open Access2 Citations (SciVal) -
Quartic differentials and harmonic maps in conformal surface geometry
Burstall, F., Pember, M. & Musso, E., 30 Sept 2022, In: Annali della Scuola Normale Superiore di Pisa - Classe di Scienze. 23, 3, p. 1507-1524Research output: Contribution to journal › Article › peer-review