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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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Conserved Quantity Mathematics
Harmonic Maps Mathematics
Submanifolds Mathematics
Weingarten Surface Mathematics
Parabolic Geometry Mathematics
Constant Mean Curvature Mathematics
Curvilinear Coordinates Mathematics
Twistors Mathematics

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Projects 2005 2010

Research Output 2009 2019

5 Downloads (Pure)

On Conformal Gauss Maps

Burstall, F., 16 Oct 2019, In : Bulletin of the London Mathematical Society. p. 1-6 6 p.

Research output: Contribution to journalArticle

Open Access
1 Citation (Scopus)
7 Downloads (Pure)

Polynomial conserved quantities of Lie applicable surfaces

Burstall, F., Hertrich-Jeromin, U., Pember, M. & Rossman, W., 1 Mar 2019, In : Manuscripta Mathematica. 158, 3-4, p. 505-546 42 p.

Research output: Contribution to journalArticle

Open Access
Conserved Quantity
Weingarten Surface
Conformal Geometry
1 Citation (Scopus)

Ribaucour coordinates

Burstall, F., Hertrich-Jeromin, U. & Lara Miro, M., 1 Mar 2019, In : Beitraege zur Algebra und Geometrie. 60, 1, p. 39-55 17 p.

Research output: Contribution to journalArticle

Open Access
Discrete Curvature
3 Citations (Scopus)
109 Downloads (Pure)

Discrete linear Weingarten surfaces

Burstall, F., Hertrich-Jeromin, U. & Rossman, W., 1 Sep 2018, In : Nagoya Mathematical Journal. 231, p. 55-88 14 p.

Research output: Contribution to journalArticle

Open Access
Weingarten Surface
Constant Mean Curvature
Space Form

Notes on transformations in integrable geometry

Burstall, F., 23 Oct 2017, Special Metrics and Group Actions in Geometry: SINDAMS, volume 23. Springer, p. 59-80

Research output: Chapter in Book/Report/Conference proceedingChapter

Gauss Curvature
Negative Curvature


Special surface classes

Author: Pember, M., 5 May 2015

Supervisor: Burstall, F. (Supervisor)

Student thesis: Doctoral ThesisPhD