Papers and Articles

Preprints

  • 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 .

  • Hausdorff measures of shrinking targets on self-conformal sets (with B. Bárány),

Preprint (2019), 38 pages, https://arxiv.org/abs/1911.03410 , to appear in Mathematika.

  • Distribution of Sequences Generated by Certain Simply-Constructed Normal Numbers (with S. Brewer)

Preprint (under revision), 7 pages, old arXiv version .

In peer-reviewed journals

  1. A General Mass Transference Principle (with S. Baker) Selecta Math. (N.S.) 25 (2019), no. 3, Art. 39, 38 pp.

  2. The Mass Transference Principle: Ten Years On (with S. Troscheit) arXiv version Horizons of fractal geometry and complex dimensions, pp.1-33, Contemp. Math., 731, Amer. Math. Soc., Providence, RI, 2019.

  3. A mass transference principle for systems of linear forms and its applications (with V. Beresnevich) Compos. Math. 154 (2018), no. 5, 1014-1047.

  4. Average distances on self-similar sets and higher order average distances of self-similar measures (with H. Edwards, S. Harper and L. Olsen) Math. Z. 287 (2017), no. 1-2, 287-324.

  5. No-where averagely differentiable functions: Baire category and the Takagi function (with C. Arthur, R. Dougall, H. Edwards, L. Olsen and M. Véges) Monatsh. Math. 172 (2013), no. 1, 1-27.

Other

1. Guiding Principles for Unlocking the Workforce — What Can Mathematics Tell Us? (with D. Abrahams et al.), working paper from ICMS/VKEMS Virtual Study Group — Mathematical Principles for Unlocking the Workforce, May 2020.

2. Trends in Diophantine Approximation LMS Newsletter Article (invited article), July 2018, 11--15.

3. Orponen's Distance Set Theorem, Extended abstract from the "Arbeitsgemeinschaft: Additive Combinatorics, Entropy, and Fractal Geometry" in Oberwolfach Report no. 47, 2017.

4. Jarnik, Besicovitch and Mass Transference, Extended abstract from the "Arbeitsgemeinschaft: Diophantine Approximation, Fractal Geometry and Dynamics" in Oberwolfach Report no. 48, 2016.