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I am a research scholar in the School of Mathematics & Statistics at the University of St Andrews. Under the direction of Jonathan Fraser, I work in the fractal geometry research group, where I study a web of problems at the intersection of geometric measure theory and harmonic analysis.
Office: Mathematical Institute, Room 206
Research
Dissertation: Higher-Dimensional Analogues of Two Theorems of Orponen on Exceptional Sets
Strong exceptional parameters for the dimension of nonlinear slices. arXiv:2510.10844, October 2025.
On the packing dimension of distance sets with respect to C¹ and polyhedral norms. With I. Altaf and B. Wilson. Research in the Mathematical Sciences 12.94 (2025): 1–16.
In the collection “Fractal Geometry and Harmonic Analysis”
Bounds on the dimension of lineal extensions. With J. B. Fiedler. Journal of Fractal Geometry 12.1/2 (2025): 105–133.
A study guide to “Kaufman and Falconer estimates for radial projections”. With A. Ortiz, P. Bright, and C. Marshall. arXiv:2402.11847, February 2024.
A decomposition theorem for balanced measures. With G. Baimetov, A. Goh, R. Guo, O. Jacobs, and S. Lee. Discrete Mathematics 348.5 (2025): 114389.
Distance sets bounds for polyhedral norms via effective dimension. With I. Altaf and B. Wilson. Real Analysis Exchange 50.1 (2025):1–14.
A singular integral identity for surface measure. The Journal of Geometric Analysis 34.1 (2024): 16.
Exceptional projections of sets exhibiting almost dimension conservation. Annales Fennici Mathematici 49.1 (2024): 65–79.
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