# Research

## Publications

Files linked as direct .pdf files are typically the most updated versions with the fewest typos. This is sometimes ahead of the arXiv file, though the numbering and content will be identical in the limit.

- Multifractal analysis of measures arising from random substitutions
With: Andrew Mitchell Journal: *Preprint*(submitted)Links: pdfarxiv - Assouad-type dimensions of overlapping self-affine sets
With: Jonathan M. Fraser Journal: *Preprint*(submitted)Links: pdfarxiv - Attainable forms of Assouad spectra
Journal: *Preprint*(submitted)Links: pdfarxiv - Attainable forms of intermediate dimensions
With: Amlan Banaji Journal: *Ann. Fenn. Math.***47**(2022), 939-960Links: pdfdoiarxiv - A multifractal decomposition for self-similar measures with exact overlaps
Journal: *Preprint*(submitted)Links: pdfarxiv - Local dimensions of self-similar measures satisfying the Finite Neighbour Condition
With: Kathryn E. Hare Journal: *Nonlinearity***35**(2022), 4876-4904Links: pdfdoiarxiv - Geometric and combinatorial properties of self-similar multifractal measures
Journal: *Ergod. Theory Dyn. Syst.*(to appear)Links: pdfdoiarxiv - When the Weak Separation Condition implies the Generalized Finite Type Condition
With: Kathryn E. Hare, Kevin G. Hare Journal: *Proc. Amer. Math. Soc.***149**(2021), 1555-1568Links: pdfdoiarxiv

## Software

Description | Language | Links |
---|---|---|

An automatic LaTeX project templater | Python | pypigithub |

Manage (Neo)Vim sessions | Fish | github |

Query adjacency properties of four-letter words | C | github |

## Presentations

- Oct. 2022 - Manchester Dynamics Seminar - Assouad dimension and slices of self-affine sets
- Sep. 2022 - Fractals and Related Fields IV - Geometric and Combinatorial Properties of Self-similar Measures (slides)
- Aug. 2022 - BME Dynamical Systems Seminar - Geometric and Combinatorial Properties of Self-similar Measures
- Jul. 2022 - BECMC 2022 - Attainable forms of intermediate dimensions (slides)
- Jul. 2022 - University of Vienna Ergodic Theory Seminar - Dimension theory and classification of Assouad spectra through homogeneous Moran sets
- Jun. 2022 - Geometry of Deterministic and Random Fractals - Classifying Dimension Spectra (slides)
- May. 2022 - Workshop on Self-affine and Overlapping IFS - Geometric and Combinatorial Properties of Self-similar Measures (poster)
- Apr. 2022 - St Andrews Burn Meet - Pisot Numbers and Bernoulli Convolutions (slides)
- Apr. 2022 - Probability, Analysis, and Dynamics 2022 - Geometric and Combinatorial Properties of Self-similar Measures (poster)
- Feb. 2022 - St Andrews Analysis Seminar - Attainable forms of intermediate dimensions
- Apr. 2021 - Junior Ergodic Theory Seminar - Self-similar measures with non-concave spectra and multifractal analysis (slides)
- Jan. 2021 - St Andrews Online Burn Meet - Analysis Group Intro Talk (slides)
- Oct. 2020 - St Andrews Analysis Seminar - Multifractal Analysis for Self-Similar Measures with Exact Overlaps (slidesvideo)
- Feb. 2020 - University of Waterloo Analysis Seminar - Geometric and Combinatorial Separation Conditions for IFSs (slides)
- Jul. 2019 - CUMC 2019 - An Algebraic Proof of Quadratic Reciprocity
- Jul. 2018 - CUMC 2018 - Pisot-Vijayaraghavan numbers