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University of Exeter

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

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Country

United Kingdom

University

University of Exeter

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Keywords

Mathematics
Number Theory
Fractal Geometry

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About this position

[Full fees plus a stipend of £21,805 per annum for 2026/7; funded by the EPSRC Engineering and Physical Sciences Research Council.]

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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