About Me:

I am a postdoctoral fellow in pure mathematics at the University of Manchester, England. My research interests involve Diophantine approximation, combinatorics, automatic sequences, discrepancy theory and ergodic theory. In particular, my work so far has focussed on the Littlewood Conjecture in fields of positive characteristic and its intersections with finite automata and the determinants of Hankel matrices.

To contact, please email

steven<dot>robertson<at>manchester<dot>ac<dot>uk.

To see my CV, click here:

My Work

Undergraduate Work

A Note on the Mixed Littlewood Conjecture, completed under the supervision of Stephen Harrap at Durham University in 2020.

Quadratic Forms, Diophantine Approximation and the Oppenheim Conjecture: Masters thesis completed under the supervision of Pankaj Vishe at the Durham University in 2021

Postgraduate Work

Combinatorics on Number Walls and the p(t)-adic Littlewood Conjecture, (2022). Under peer review

Counterexamples to the p(t)-adic Littlewood Conjecture over Small Finite Fields, (2024): With Samuel Garrett. Accepted for publication in Mathematics of Computation.

Randomisation in the Josephus Problem, (2024): With Faustin Adiceam, Ioannis Tsokanos and Victor Shirandami. Published at Combinatorics and Number Theory, vol. 13 No. 3, Pages 277–298

Low Discrepancy Digital Kronecker-Van der Corput Sequences, (2024): Accepted for publication in Uniform Distribution Theory

My Talks

Introduction to Diophantine Approximation over function fields: Manchester Pure Postgrad Seminar, 2022
Introduction to Number Walls: Manchester Students Research Conference, 2022.
Combinatorics on Number Walls and the p(t)-adic Littlewood Conjecture: Manchester Number Theory Seminar, 2023
Combinatorics on Number Walls and the p(t)-adic Littlewood Conjecture: York Number Theory Seminar, 2023
Combinatorics on Number Walls and the p(t)-adic Littlewood Conjecture: Exeter Number Theory Seminar, 2023
Combinatorics on Number Walls and the p(t)-adic Littlewood Conjecture: Manchester Pure Postgrad Seminar, 2023
Combinatorics on Number Walls and the p(t)-adic Littlewood Conjecture: Bristol Linfoot Number Theory Seminar, 2024
A Combinatorial Approach to the p(t)-adic Littlewood Conjecture: Conference talk at "Diophantine approximation and Fractal Geometry", Paris, 2024
A Combinatorial Approach to the p(t)-adic Littlewood Conjecture: Maynooth University Maths & Stats Colloquia, 2024
Low Discrepancy Digital Hybrid Sequences and the t-adic Littlewood Conjecture, Manchester University Dynamics Seminar, 2024
Low Discrepancy Digital Hybrid Sequences and the t-adic Littlewood Conjecture, One World Numeration Seminar, virtual, 2024
Counterexamples to the p(t)-adic Littlewood Conjecture: York Number Theory Seminar, 2024
Introduction to Number Walls: Heilbronn Annual COnference Research Day, 2025

Teaching

Private mathematics tutoring, 2016-2018, 2023

Teaching assistant for Introduction to Programming, 2022 & 2024, University of Manchester

Teaching assistant for Foundations of Mathematical Analysis, 2024, University of Manchester

Teaching assistant for Mathematics 0J2 (Foundations of Mechanics), 2025, University of Manchester

Other

Here are some of my favourite number walls! For more information, see Combinatorics on Number Walls and the p(t)-adic Littlewood Conjecture.

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