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Geoff Smith


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Personal profile

Research interests

During the earlier phase of his career, Geoff Smith did research in asymptotic group theory, including the theory of Dirichlet series associated with finitely generated groups. He has latterly become interested in both infinite permutation groups and problems of classical geometry. Two of his PhD students, Simon Turner and Carolyn Ashurst, have recently been awarded their doctorates, and he currently has one student, Dorian Lidell.

Geoff is an activist in the mathematics olympiad movement, and is the author of many problems, including the well-known IMO 2011/2 Windmill question which was analyzed as one of Terry Tao's mini-polymath projects.

He instigated the European Girls' Mathematical Olympiad.

Fingerprint Dive into the research topics where Geoff Smith is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

Cyclic quadrilateral Mathematics
Dirichlet Series Mathematics
Infinite Groups Mathematics
Finitely Generated Group Mathematics
Permutation group Mathematics
Asymptotic Theory Mathematics
Group Theory Mathematics
Supplementary angles Mathematics

Research Output 2002 2015

How to solve a Rubik’s cube in five seconds

Smith, G., 27 Nov 2015, The Conversation.

Research output: Contribution to specialist publicationArticle

Open Access
1 Citation (Scopus)

On the three diagonals of a cyclic quadrilateral

Schwarz, D. & Smith, G. C., 1 Aug 2014, In : Journal of Geometry. 105, 2, p. 307-312 6 p.

Research output: Contribution to journalArticle

Cyclic quadrilateral
Supplementary angles
Geometric Inequalities

Hagge Circles and Isogonal Conjugation

Bradley, C. J. & Smith, G. C., Jul 2007, In : The Mathematical Gazette. 91

Research output: Contribution to journalArticle

On a porism associated with the Euler and Droz-Farny lines

Bradley, C. J., Monk, D. & Smith, G. C., Jan 2007, In : Forum Geometricorum. 7, p. 11--17 7 p.

Research output: Contribution to journalArticle

On the Euler-Guinand Theorem

Smith, G. C., Nov 2006, In : Integral. 9, p. 53--58 6 p.

Research output: Contribution to journalArticle


Fibres of Words in Finite Groups, a Probabilistic Approach

Author: Ashurst, C., 1 Jun 2012

Supervisor: Smith, G. (Supervisor)

Student thesis: Doctoral ThesisPhD


The Cyclizer Series of Infinite Permutation Groups

Author: Turner, S., 22 May 2013

Supervisor: Smith, G. (Supervisor)

Student thesis: Doctoral ThesisPhD