Warwick Zeeman Lecturer
Teaching Responsibilities 2021/22: MA3D4 Fractal Geometry (Term 2)
Research Interests: (Metric) Diophantine Approximation, Fractal Geometry, Shrinking Targets.
Most relevant recent publications:
Independence inheritance and Diophantine approximation for systems of linear forms (with F. A. Ramírez), preprint 2021, 27 pages, https://arxiv.org/abs/2109.03929
A note on weighted simultaneous Diophantine approximation on manifolds (with B. Wang), preprint 2021, 18 pages, https://arxiv.org/abs/2103.06822
Dyadic Approximation in the Middle-Third Cantor Set (with S. Chow and H. Yu), preprint 2020, 39 pages, https://arxiv.org/abs/2005.09300
On the Hausdorff measure of shrinking target sets on self-conformal sets (with B. Bárány), Mathematika 67 (2021), no. 4, 807-839.
A General Mass Transference Principle (with S. Baker) Selecta Math. (N.S.) 25 (2019), no. 3, Art. 39, 38 pp.
A mass transference principle for systems of linear forms and its applications (with V. Beresnevich) Compos. Math. 154 (2018), no. 5, 1014-1047.
Recent research grants:
Recent awards & prizes:
Personal Homepage: https://sites.google.com/view/demi-allen-mathematics