About me: I am a postdoctoral fellow in the Department of Mathematics and Statistics at the University of Winnipeg, where I work with James Currie and Narad Rampersad. Previously, from September 2021 to February 2024, I held a postdoctoral position at the Université du Québec à Montréal, LACIM, under the supervision of Srecko Brlek. I earned my PhD from Sorbonne Université in 2020, where I was mentored by Jean-Paul Allouche.
Research: My research interests are in combinatorics on words and automatic and morphic sequences.
(Pre-)Publications:
J.-P. Allouche, J M. Campbell, S. Li, J. Shallit, M. Stipulanti, The reflection complexity of sequences over finite alphabets, submitted.
P. Letouzey, S. Li and W. Steiner, Pointwise order of generalized Hofstadter functions $G, H$ and beyond, submitted.
S. Li, Letter frequency vs factor frequency in pure morphic words, Advances in Applied Mathematics, 2025.
S. Brlek and S. Li, On the number of squares in a finite word, Combinatorial Theory, 2025.
S. Li, The characteristic sequence of the integers that are the sum of two squares is not morphic, Discrete Mathematics, accepted.
S. Li, J. Pachocki and J. Radoszewski, A note on the maximum number of k-powers in a finite word, The Electronic Journal of Combinatorics, 2024.
A. Abram, Y. Hu, S. Li, Block-counting sequences are not purely morphic, Advances in Applied Mathematics, 2024.
S. Li, A note on the Lie complexity and beyond, Theoretical Computer Science, 2024.
S. Li, An upper bound of the number of distinct powers in binary words, Discrete Mathematics, 2024.
S. Brlek and S. Li, On the number of distinct squares in finite sequences: some old and new results, WORDS 2023.
S. Li, On the number of k-powers in a finite word, Advances in Applied Mathematics, 2022.
S. Li, On completely multiplicative automatic sequences, Journal of Number Theory, 2020.
Talks:
On the orthogonality of generalized pattern sequences, GASCom2024.
Block-counting sequences revisited, Thematic Month: Discrete Mathematics & Computer Science, Aix-Marseille Université, 2024.
On the number of squares in a finite word,
WORDS2023,
One World Combinatorics on Words Seminar2022,
18e Journées Montoises d’Informatique Théorique 2022.
Completely multiplicative automatic sequences, Journées SDA2, 2019.