Dr Scott Harper

Research Fellow (EPSRC)

Researcher profile

Phone

+44 (0)1334 46 3164

Email

scott.harper@st-andrews.ac.uk

 

Research areas

I am an EPSRC Postdoctoral Fellow in the School of Mathematics and Statistics. My general area of research is group theory: the mathematical study of symmetry. I am particularly interested in generating sets for groups (both finite and infinite) and the connections these have with permutation group theory. One recent highlight for me was my work with Tim Burness and Bob Guralnick where we answered the long-standing question: In which finite groups is every nontrivial element contained in a generating pair?

For more information, see my personal website harper-scott.github.io.

Selected publications

• Open access

  The spread of a finite group

  Burness, T. C., Harper, S. & Guralnick, R. M., 1 Mar 2021, In: Annals of Mathematics. 193, 2, p. 619-687 49 p.

  Research output: Contribution to journal › Article › peer-review

• The spread of almost simple classical groups

  Harper, S., 26 May 2021, Cham: Springer. 154 p. (Lecture notes in mathematics; vol. 2286)

  Research output: Book/Report › Book

• Infinite 3/2-generated groups

  Donoven, C. & Harper, S., 1 Aug 2020, In: Bulletin of the London Mathematical Society. 52, p. 657-673

  Research output: Contribution to journal › Article › peer-review

• On the uniform domination number of a finite simple group

  Burness, T. C. & Harper, S., 1 Jul 2019, In: Transactions of the American Mathematical Society. 372, p. 545-583

  Research output: Contribution to journal › Article › peer-review

 

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