Rhys Anthony Davies
Room 214, School of Mathematics and Statistics, University of Glasgow, University Place, Glasgow, G12 8QQ
Research title: The representation theory of rational Cherednik algebras.
Research Summary
I'm broadly interested in algebra, geometry and topology, with a particular interest in geometric representation theory. I'm currently working with rational Cherednik algebras.
Supervisors
Conference
- The Geometry of Double Affine Hecke Algebras and Coulomb Branches (20-24 March 2023, ICMS, Bayes Centre, Edinburgh).
- Various Guises of Reflection Arrangements (13-17 March 2023, ICMS, Bayes Centre, Edinburgh).
- Noncommutative Shapes (12-16 September 2022, University of Antwerp).
- Recent Advances and New Directions in the Interplay of Noncommutative Algebra and Geometry (20-24 June 2022, University of Washington, Seattle).
- Bridges between representation theory and algebraic geometry:
Singularities, friezes and cluster categories (24-27 May 2022, University of Leeds). - Future directions in algebraic groups and Lie algebras in the UK (11-13 April 2022, University of Birmingham).
- Symplectic singularities in geometry and representation theory (4-8 April 2022, CIRM, Luminy).
- ARTIN: 60 (25-26 August 2022, University of Nottingham); 61 (11-12 September 2023, University of Glasgow).
- GEARS: ICMS (4 December 2021); Herriot-Watt (29 March 2022); Edinburgh (3 May 2022); Herriot-Watt (30 May 2022); ICMS (9 August 2022); Glasgow (25 October 2022); Edinburgh (7 February 2023); Glasgow (11 September 2023).
Additional Information
Talks
- The representation theory of rational Cherednik algebras at t=1 (25 January 2023, DAHAs Working Seminar).
- Mapping the Land of Symmetry (18 November 2022, PG Seminar).
- Affine Hecke Algebras (6 October 2022, DAHAs Working Seminar).
- The composition factors of some rational Cherednik algebra modules (9 August 2022, GEARS, ICMS, Edinburgh).
- Young Diagrams & their Connection to the Representaion Theory of Finite Symmetric Groups (8 March 2022, GlaMS Examples Showcase).
- The representation theory of finite symmetric groups (4 March 2022, PG Seminar).
- Rational Cherednik algebras with examples for the symmetric groups (8 December 2021, GAPS).