University of Exeter
1 week ago
PhD Studentship: The Khintchine-Groshev Theorem: Beyond Removing Monotonicity University of Exeter in United Kingdom
Degree Level
PhD
Field of study
Mathematics
Funding
Available
Deadline
Dec 8, 2026
Country
United Kingdom
University
University of Exeter
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About this position
PhD Studentship at the University of Exeter in Khintchine-Groshev Theorem: Beyond Removing Monotonicity.
This project sits in Diophantine Approximation, with strong links to Fractal Geometry and the study of how real numbers and higher-dimensional objects can be approximated by rationals and linear forms. The project explores questions beyond the classical monotonicity assumptions in the Khintchine and Khintchine-Groshev theorems, building on recent progress on the Duffin-Schaeffer conjecture and inhomogeneous Khintchine-Groshev theory.
Potential directions include applications of the independence inheritance phenomenon, new results for the Khintchine-Groshev theorem on fractals and self-similar sets, and extensions to multivariable approximation and matrix approximation. The topic is mathematically rich and research-led, with relevance to broader areas where fractal-like structures and approximation methods arise.
The studentship is funded by the EPSRC and provides full fees plus a stipend of £21,805 per annum for 2026/7. This is a PhD opportunity, and the post is clearly aimed at a doctoral researcher with interest in pure mathematics, particularly metric number theory, approximation theory, and fractal methods.
Application deadline: 08 December 2026.
Apply via: University of Exeter funding page.
Funding details
Available
How to apply
Apply via the University of Exeter funding application page using the provided application link. Prepare your research application materials before the 2026-12-08 deadline. Check the project page for any additional instructions or eligibility details.
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Prepare your application
Review drafts and confirm requirements with the university.
Make your next move.
Prepare your application
Review drafts and confirm requirements with the university.