I am currently a DAAD PRIME Fellow at the Open University, supported by the German Academic Exchange Service (DAAD). I did my PhD with Prof. Michael Baake at Universität Bielefeld in Bielefeld, Germany, which I completed in June 2019. My PhD Thesis is on Lyapunov exponents and related criteria which characterise the spectral type of aperiodic tilings and subshifts.
My main research interests are aspects of aperiodic order, in particular, dynamical systems generated by sequences, tilings, and measures satisfying some form of hierarchy or self-similarity. Some prevalent themes in my research, together with recent and ongoing work, are listed below.
Before moving to the Open University, I have served as a tutor for a variety of courses (bachelors and masters level) while I was in Bielefeld from 2015 to 2021. These include partial differential equations, algebra, linear algebra for physicists, group and representation theory for physicists, Fourier analysis for life sciences, complex analysis, probability theory and statistics, and discrete mathematics.
Before moving to Germany for my PhD, I served as an instructor at the Mathematics department of Ateneo de Manila University in the Philippines, where I handled service courses in college algebra and calculus for business.
I have been awarded the Dissertationspreis for the best PhD thesis in the Faculty of Mathematics at Bielefeld University in 2019. This was selected among all Phd theses who were awarded the best grade (summa cum laude) during that year. In 2020, I was awarded a DAAD Postdoctoral Researchers International Mobility Experience (PRIME) fellowship, which includes an 12-month research stay at the Open University and a 6-month return phase at Bielefeld University. This fellowship is funded by the German Federal Ministry of Education and Research (BMBF) and the European Union (EU/FP7/Marie Curie Actions/COFUND).
I am currently working on projects together with several colleagues from Japan, the Philippines, the USA, Germany, and Australia.
Catalan numbers as discrepancies for a family of substitutions on infinite alphabets (2023-06-29)
Frettlöh, Dirk; Garber, Alexey and Mañibo, Neil
Indagationes Mathematicae ([Early Access])
Monochromatic arithmetic progressions in automatic sequences with group structure (2023)
Aedo, Ibai; Grimm, Uwe; Mañibo, Neil; Nagai, Yasushi and Staynova, Petra
arXiv, Article 2302.12908
Spectral properties of substitutions on compact alphabets (2023)
Mañibo, Neil; Rust, Dan and Walton, James J.
Bulletin of the London Mathematical Society ([Early Access])
Spectral theory of spin substitutions (2022)
Frank, Natalie Priebe and Mañibo, Neil
Discrete and Continuous Dynamical Systems, 42(11) (pp. 5399-5435)