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The University of Edinburgh: Algebra

Institution The University of Edinburgh View institution profile
Department School of Mathematics
Web https://www.ed.ac.uk/studying
Study type Research

Summary

Our algebra and number theory research group is made up of international leaders in the field who have won between them the European Mathematical Society Prize, the Whitehead Prize of the London Mathematical Society, the Waclaw Sierpinski Prize of the Polish Academy of Sciences and the Berwick Prize of the London Mathematical Society.

Our members have given invited lectures at both the International Congress of Mathematicians and the European Congress of Mathematicians.

The School of Mathematics is a vibrant community of more than 60 academic and related staff supervising 60 students.

Our research centres on the following areas:

  • non-commutative ring theory

  • non-commutative algebraic geometry

  • the geometry of algebraic numbers

  • Lie-theoretic representation theory

  • quantum algebra

  • category theory

Much of our research is related to the areas of geometry and topology, and mathematical physics, which has lead to the formation of the Hodge Institute:

Through the School’s membership of the Maxwell Institute, we present regular seminars, and run our own informal seminars and colloquia. We also serve on editorial boards of various international journals.

All of our PhD students take part in international conferences and symposia, and in part thanks to this global exposure, many have gone on to postdoctoral positions throughout the world.

Doctor of Philosophy - PhD

Edinburgh. Extraordinary futures await.

The University of Edinburgh is one of the world's top universities, consistently ranked in the world top 50, and placed 22nd in the 2024 QS World University Rankings.

Our position as one of Britain’s leading research universities was reaffirmed by the results of the 2021 Research Excellence Framework (REF). The University of Edinburgh is one of the world’s top research-intensive universities, ranked 4th in the UK for research power (Times Higher Education, Overall Ranking of Institutions), with 90% of our research activity classified as world leading or internationally excellent in the 2021 Research Excellence Framework.

Our …

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