email: O.P.McGrath@leeds.ac.uk
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Orla McGrath
PhD Student in Pure Mathematics
University of Leeds
Orla McGrath
PhD Student in Pure Mathematics
University of Leeds
I am a second year PhD student in the Algebra Group in the School of Mathematics, University of Leeds, supervised by Dr Michael Wibmer. Generally I am interested in Difference Algebra and Algebraic Geometry, my current topic of research is finiteness properties of partial affine difference algebraic groups.
I completed an MMath at the University of Leeds, graduating with First Class Honours in July 2024.
Papers and Pre-Prints:
Dimension Polynomials for Affine Partial Difference Algebraic Groups. Preprint 2025. arXiv:2511.20350.
Teaching:
MATH1000 Core Mathematics, Semester 2, 2024 – 2025, University of Leeds. Tutorials and marking.
MATH2002/2003 Investigations in Mathematics, Semester 1, 2025-2026, University of Leeds. Practicals and marking.
Conferences/ Workshops attended:
April 2025: Introduction to Modern Advances in Algebra 2025, University of Manchester. Poster: Introduction to Affine Difference Algebraic Groups.
July 2025: School of Mathematics PGR Conference, University of Leeds. Talk: Deriving the Hopf Algebra Axioms.
September 2025: Categorical Aspects of Differential and Difference Galois Theory, Queen Mary University of London. Talk: Finiteness Properties of Partial Affine Difference Algebraic Groups.
October 2025: IDEAL: Inclusion, Diversity and Equity in Algebra, University of Leeds. Talk: The Ascending Chain Condition for Difference Ideals.
Conferences/ Workshops organised:
October 2025: IDEAL: Inclusion, Diversity and Equity in Algebra, University of Leeds.
Other Activities:
November 2024- : Reading Group: Themes in Algebraic Geometry.
November 2024- : Volunteering at Leeds Refugee Forum as a GCSE Mathematics Tutor.
July-August 2024: SMI Summer School, Perugia. Attended courses in Algebraic Geometry and Differential Geometry.
July 2023: Undergraduate Summer Bursary Project: Modelling nuclei with the face-centred cubic lattice. Supervised by Dr Derek Harland at the University of Leeds.
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