Photo of Francis Burstall
  • 4 WEST 3.39

20052019
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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

On Conformal Gauss Map

Burstall, F., 3 Oct 2019, (Accepted/In press) In : Bulletin of the London Mathematical Society.

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., 31 Mar 2019, In : Manuscripta Mathematica. 158, 3-4, p. 505-546 42 p.

Research output: Contribution to journalArticle

Open Access
File
Conserved Quantity
Polynomial
Weingarten Surface
Conformal Geometry
Gauge

Ribaucour coordinates

Burstall, F., Hertrich-Jeromin, U. & Lara Miro, M., 12 Mar 2019, In : Beitraege zur Algebra und Geometrie. 60, 1

Research output: Contribution to journalArticle

Open Access
Submanifolds
Discrete Curvature
Smoothing
High-dimensional
Interpolate
2 Citations (Scopus)
63 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
File
Weingarten Surface
Constant Mean Curvature
Space Form
Correspondence
Analogue

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
Gauge

Thesis

Special surface classes

Author: Pember, M., 5 May 2015

Supervisor: Burstall, F. (Supervisor)

Student thesis: Doctoral ThesisPhD

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